# mth 302 final file by farooqejaz

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The moving averages of the Prices 30, 45, 90, 110 are
60, 85.45       45, 88.36       55, 81.67      65, 78.45
Suppose the slope of regression line is -16.36 and the intercept is 1.56, then the equation of regression line will
be ---------------
y – 1.56 = -16.36x      y + 1.56 = -16.36x     y +16.36x = -1.56       y – 16.36x = 1.56
When a dice is rolled then outcomes on the face of the dice (i.e. 1, 2, 3, 4, 5, 6) are mutually exclusive.
True False
A pattern of variation of a time series that repeats every year is called:
Cyclical        Seasonal        Trend Secular
The New Forecast is (constant of exponential smothing is 'c')
old forecast + c x (old actual – old forecast)                  old forecast + c x (old forecast – old actual)
old forecast - c x (old actual + old forecast)         None of these
This formula “=BINOMDIST( 3, 6, 0.5, TRUE )” is for Cumulative Bionomial distribution.
True            False
The moving averages can be used for
better graph forecasting purpose middle value Median
When a coin is tossed, the events that it lands heads or tails are mutually exclusive.
True False
A single card is to be drawn from a well shuffled deck of cards. What will be the probability of black cards?
25/52 26/52 27/52 None of these
What is probabilty of r or more successes when m=7;r=9
0.2709          0.184 0.5       None of these
Which of the following is NOT applicable to a Poisson Distribution?
It is used to compute the probability of rare events. Every event is independent of every other event.
The range for the number of events that could occur is 0,1,2,3, ...
Every event is dependent of every other event.
Suppose we developed the following least squares regression equation: Y = 3.5 + 2.1X. Which of the following
statements is correct?
The dependent variable increases 2.1 for an increase of 1 in X The equation crosses the Y-axis at 3.
If X = 5, then Y =15.                                  X and Y are inversely proportional
n standard normal distribution;
Mean = 0, Standard Deviation = 1
Mean = 1, Standard Deviation = 1 Mean = 0, Standard Deviation = 0
Analysis of Variance (ANOVA) is a test for equality of
6723 6725 6720 6721
Prices are 2,4,6,8,10 and Moving averages are 4,6,8 then Actual- Trend are
0, 0,0 1, 2,3 3,4,5 3,2,1
Suppose we developed the following least squares regression equation: Y = 3.5 + 2.1X. Which of the following
statements is correct?
The dependent variable increases 2.1 for an increase of 1 in X The equation crosses the Y-axis at 3.
If X = 5, then Y =15.                          X and Y are inversely proportional
For the Poisson distribution,
E(X) = µ , Var(X) = µ           E(X) = µ , Var(X) = - µ
E(X) = -µ , Var(X) = µ          E(X) = 0 , Var(X) = 0
The moving averages of the Prices 50, 60, 70, 80 are
Vicky From VUHope@gmail.com                 033167317672                                                    Page 1
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50, 60           60, 70    70, 80        65, 65
The method of least squares finds the best fit line that _______ the error between observed & estimated points
on the line
Maximizes        Minimizes      Reduces to zero        All the given choices are correct.
A fair coin is tossed three times then its total number of sample points of the sample space will be
3^2      2^3 2^4        None of these
How many words can be formed by using all letters of the word „LAHORE‟?
120 320          520    720
What is probabilty of r or more successes when m=7;r=9
0.2709           0.184    0.5     None of these
If a = 2 , b = 1 , independent variable = 4 then dependent variable for an estimating regression line is
2        4       6      none of the given choices
This formula “=BINOMDIST( 3, 6, 0.5, TRUE )” is for Cumulative Bionomial distribution.
True False
f a dice is thrown what is the chance of getting an odd number or a number divisible bytwo?
1/3      4/6     ½      None of these
Faulty apple toffees in a production line average out at 6 per box.The management is willing to replace one box
in a hundred.What is the number of faulty toffees that this probabilty corresponds to?
20       18      13
In the excel formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)", if X<0 then it
returns to
TRUE FALSE
#VALUE!
#NUM!
The number of false fire alarms in a suburb of London on averages 4 per day. Assuming that a Poisson
distribution is appropriate, the probability that 3 false alarms will occur on a given day is given by
P(X=3 ) = (4^3e^-3)/4!           P(X=3 ) =1- (4^3e^-3)/3!
P(X=3 ) = (4^3e^-4)/3            P(X=3 ) =1- (4^3e^-4)/4!
The sign of regression coefficient is associated with
variance of x variance of y co-variance of x and y             none of these
The marketing manager of a company receives average10 complaint calls during a week .Suppose that the
number of calls during a week follows the Poisson distribution. The probability that she gets five such calls in
one day is:
(10^5e^-10)/5!          1-(10^5e^-10)/5!        10C5 * 0.55 * 0.55            1 - 10C5 * 0.55 * 0.55
n method of least square we
minimize the sum of residuals            maximize the sum of residuals
minimize the sum squares of residuals           maximize the sum squares of residuals
For a data, if mean > median then its distribution is
A. asymmetricalB. symmetricalC. left asymmetrical (correct answer)D. right asymmetrical
Explanation
Symmetrical Distribution
mean = median = mode
Positively Skewed Distribution(Tilted to left)mean > median > mode
Negatively Skewed Distribution mode < median < mean(Tilted to right)
Q.2) The variance of the 3, 3, 3, 3, 3 is
A. Zero (correct answer)B. OneC. Twice the standard deviationD. Half of the range
Q.3) The regression equation should only used
A. When there is significant linear correlation (correct answer)

Vicky From VUHope@gmail.com                033167317672                                                  Page 2
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B. When there is significant multi correlation
C. When there is significant quadratic correlationD. When there is significant simple correlation
Q.4) As the regression line equation is y = ax + b, where b is
A. The x-interceptB. The y-intercept (correct answer)C. The slopeD. None of these
Explanation
Y = y-axis       a = slope     x = x-axis      b = y-intercept
Q.5) My estimated regression line is Y = 17 + 4X. The intercept is equal to:
A. 17 (correct answer)B. 4C. 21D. 13
Explanation
Y represents the dependent variable
X represents the independent variable
a represents the Y-intercept
(i.e. the value of Y when X is equal to zero)
b represents the slope of the line
represents the angle, where (i.e. the value of the tan between the line and the
horizontal axis)
Q.6) The point where a straight line cuts the x-axis is called
A. slopeB. starting pointC. y-interceptD. x-intercept (correct answer)
Q.7) If strength of the association between X and Y is very weak, then r = ?
A. r = - 1B. r = 0 (correct answer)C. r = 1D. r = 2
Q.8) In a positively skewed distribution
A. The mean, median, and mode are all equal.B. The mean is larger than the median (correct)
C. The median is larger than the mean.
D. The standard deviation must be larger than the mean or the median.
Explanation
Positively Skewed Distribution (Tilted to left) mean > median > mode
Negatively Skewed Distribution mode < median < mean (Tilted to right)
Find the mean of this data set: \$7.75, \$9.50, \$7.20, \$8.00
\$7.88        \$8.11       \$2.30       \$7.10
Find the median of this data set: 146, 92, 46, 35, 81, 72, 65, 63,81, 19, 64, 96, 163
78.        69      144       65
Find the mode of this list: 47, 91, 63, 81, 82, 63, 37, 44, 63
63.4        82      63       54
Find the range of this data set: 67, 89, 34, 67, 89, 23, 32, 45, 32,67, 90
67 32             57.73       23
Sales made last year by Martin's Appliance Store are listed
below. The first number tells how many employees made the
sales amount. Calculate the mean, median, and mode. Two sales
employees earned in the range of \$130,001–150,000. Six sales
employees earned in the range of \$110,001–130,000. Ten sales
employees earned in the range of \$90,001–110,000. Five sales
employees earned in the range of \$70,001–90,000. Three sales
employees earned in the range of \$50,001–70,000.
Mean: \$99,231.27; median: \$90,001–110,000; mode: \$90,001–110,000
Mean: \$100,000.50; median: \$90,001–110,000; mode: \$90,001–
110,000
Mean: \$90,001–110,000; median: \$90,001–110,000; mode: \$99,231.27
Mean: \$99,231.27; median: \$99,231.27; mode: \$90,001–110,000

Vicky From VUHope@gmail.com           033167317672                                             Page 3
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A frequency distribution can be used to summarize a large data set.
True            False
Which type of graph is best to illustrate differences in data by using bars to represent the data?
bar graph       line graph            circle graph          pictorial graph
Which type of graph is best used to present a progression in historical data?
bar graph           line graph            circle graph          pictorial graph
Which type of graph is the most useful for illustrating how data are divided?
bar graph           line graph          circle graph        pictorial graph
Find the range for Juanita's grades last semester: 77, 86, 93, 78,95, 66, 87, and 90.
32       31       30           29
If the variance is 49, what is the standard deviation?
2,401        7           7.9         6.2
If the housing budget is 25% of total expenses, how many degrees on a circle graph would this be?
45° 90° 180°              270°
Find the average rate of return for six different stocks. Stock 1:5%; stock 2: 7%; stock 3: 8%; stock 4:
4 1/2%; stock 5: 9%;and stock 6: 5%.
6.42%        6.416%           6.5%          6.67%
Approximately 99% of all values will fall within _____ standard deviations in a normal distribution.
68%          95%          99%            100%
_____ make visual the relationship between sets of data.
Charts          Graphs             Tables         Lines
For how many months was the monthly sales \$40,000 or more? Base your answer on the frequency
distribution. Frequency Distribution for Monthly Sales for 36 Months
Class Interval Class Frequency
\$50,000–\$60,000 3                 \$40,000–\$49,999 9
\$30,000–\$39,999 14                 \$20,000–\$29,999 7            \$10,000–\$19,999 3       \$0–\$9,999 0
The _____________ is the difference between the smallest and the largest values in a set of data.
Mean         median            standard deviation             range
The ____________ in a set of data is the sum of the values divided by the total number of values.
Range           mean             standard deviation
The ____________ is the middle value of a data set when it is arranged from smallest to largest.
Median        mean           standard deviation
The __________ is the item of data that appears most frequently in a set of data.
Median        mean         mode             standard deviation
A _________ graph uses separated horizontal or vertical bars to show relative quantities.
Line         histogram circle                 bar
The ____________ graph uses a single dot to represent each data item.
Histogram          circle         line         bar
A ___________ graph gives a visual picture of how some whole quantity is being divided.
Bar        line        circle       histogram
A _____ is a collection of values or measurements that have common characteristics.
Range       data set(correct)             standard deviation            variance
A _____ is a standardized and meaningful measure of a set of data that reveals a certain feature or
characteristic of the data.
Statistic       circle graph         variance           mean
The categories for grouping the values in a data set are called_____.
data set groups           class intervals          statistics       standard deviation.
A mark that is used to count data in class intervals is a _____.

Vicky From VUHope@gmail.com             033167317672                                              Page 4
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Category          group frequency distribution         data set tally
Mean, median, and mode are examples of measures of _____.
Variation          central tendency          statistics      data sets
Range and standard deviation are examples of measures of_____.
Variation           central tendency         statistics       data sets
The measurement that shows how data is spread above and below the mean is the _____.
standard deviation            variance        range          mode
The standard deviation squared is the _____.
Range         mode           variance          deviatiant
Use the following situation to answer questions 1 through 3: Merritt's Bakery offers wedding cakes at
the following prices: \$99.00, \$129.00, \$149.00, \$169.00, \$199.00, and \$249.00. Find the mean price
for a wedding cake.
\$165.67               \$159.00            There is no mean.
Which measure of central tendency provides the most information for decision making?
Mean          median            mode
All three statistics are needed for decision making.In a data set of 1, 2, 2, 4, 5, 6, 6, and 7, what is the
mode?
2        6         2 and 6         There is no mode.
How many test takers score 85 or better on the driver's licensetest? Base your answer on the
frequency distribution. Frequency Distribution for 40 Scores on a Driver's License Examination
Class Interval Class Frequency
100-85 18           84-60 1         59-45 7             44-30 1
Tyco Toys has 25 people on Line A. Production values were: 19,60, 51, 49, 37, 35, 45, 49, 57, 20, 39, 51, 52, 48, 56, 49,
44, 62,70, 50, 54, 49, 56, 33, 52. Create a frequency distribution for theemployees' production. How many employees
produced 50 or more finished products?
10           11        12           13
A circle graph shows how much of a school's annual budget is spent for utilities. The total annual budget is \$2,150,000. If
\$250,000 is spent for utilities, how many degrees would this be on a circle graph?
4.19 degrees            41.9 degrees             318.1 degrees
What kind of graph uses either vertical or horizontal bars?
Histogram                line graph         bar graph            circle graph
When does a line graph actually look like a curve rather than angles formed by lines?
if it has a sufficient number of points             always            never            when the data represented are large numbers
What kind of graph uses a single point rather than a bar to represent height?
circle graph          histogram          line graph          bar graph
Find the range for the following data set: 5, 7, 0, 9, 8, and 6.
0 8       9             10
What is the first step in finding a standard deviation?
Find the mean            Find the median              Find the mode       Find the deviation
The square root of the variance is the _____.
standard variance                  squared deviation         range        standard deviation
What is the standard deviation for a variance of 64?
8       7.5       7          6.5
A normal distribution is also called a _____.
line graph        bell curve         pie chart           standard deviation
The RSQ of any data is
A. Square root of correlation coefficient.B. Square of correlation coefficient. (your answer)
C. Correlation coefficient.D. Slope of the data.
When there is no linear correlation between two variables, what will the value ofbe?
The mode of the words in the word CORRELATION is
A. LB. RC. OD. Both R and O
Which of the following indicates a strong positive correlation.

Vicky From VUHope@gmail.com                                  033167317672                                                        Page 5
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Which of the following is not a type of graph?
A. Line graphB. Frequency distributionsC. HistogramD. Median (correct answer)
The c2 distribution is ---------------
_ Positively skewed         _ Negatively skewed      Symmetrical _ None of these
In the regression line Y = a + bX., a represents
___Intercept of the line___Slope of the line___Slope of the curve___None of the above
Which distribution is most commonly used for the continuous data?
_ Normal Distribution _ Binomial Distribution_ Poisson Distribution_ Negative Binomial Distribution
The standard deviation of any sampling distribution is called
_ sampling error_ type –I error_ standard error_ non sampling error
For graphing univariate data we use
_ Pie charts,Bar charts ._ Pareto diagrams._ Side by side chart _
The RSQ of any data is
_ Square root of correlation coefficient._ Square of correlation coefficient.
_ Correlation coefficient._ Slope of the data.
If the estimating equation is Y = a – b X, which of the following is true
_ The y intercept is b_ Slope of line is positive
_ There is inverse relationship_ There is direct relationship

Given : List Price =5500Rs , Discount = 850Rs, then Net Cost Price will be
The value of x after solving the following linear equation is -2x + 6 = 4x - 2
►0        ►3      ► 1/2       ► 4/3
A  1
, then which statement is wrong about A?
► A is a column matrix. ► A is a row matrix► A is an identity matrix.(correct option)               ► A is not a
square matrix.

Sum of annuity is always
► Present value       ► Future value (Correct)            ► Net present value     ► Current value

If the principal P is 900 rupees, time period is 6 years and rate is 12% then the simple interest will be
► 648 (Correct)        ► 658      ► 668       ► 678
In the equation Y  a  bX the formula to calculate b is

n xy   x  y                  n xy   x  y
b                               b
n x 2  ( x)2                   x   2
 ( x)2
►                                ►
n xy   x  y                   xy   x  y
b                               b
n x  ( x)
2
n x  ( x)
2           2

►                                ►

(A and B) = P(A) x P(B)
What does this formula represent?

Vicky From VUHope@gmail.com                 033167317672                                                    Page 6
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► (a) The events A and B are Dependent. ► (b) The events A and B are Exclusive.
► (c) The events A and B are Independent. . (Correct) ► (d) Both (a) and (b)

The moving averages represent ------------------
► Time series variations      ► Co-efficien0074 of variations
► Statistical Dispersion   ► Absolute deviation

Two dice are rolled and the numbers are added together. The probability of the total being 12 is
► True      (Correct) ► False
6!
0!(6  6)!
Evaluate
►0       ► 10      ► 120        ► 720 (Correct)
Which of the following terms is a measure of the central tendency?
► Standard Deviation        ► Variance      ► Average (Correct) ► None of these
► 6723       ► 6725       ► 6720      ► 6721
There are 5 Rock songs, 6 Carnatic songs and 3 Indian pop songs. How many different albums can be formed
using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?
► 15624       ► 16384        ► 6144     ► 240
In an exponential smoothing model, the weighting factor w is a number that falls between ______ and ____
► 0; 1      ► -1; 1     ► -1; 0     ► 4; 4      ► -2; 2
In a positively skewed distribution
► The mean, median, and mode are all equal.         ► The mean is larger than the median
► The median is larger than the mean.      ► The standard deviation must be larger than the
mean or the median.
For what purpose is the method of least squares used on time-series data?
► It is used for eliminating irregular movements         ► It is used for obtaining the trend equation.
► It is used for deseasonalizing the data.    ► It is used for exponentially smoothing a series.
All of the following are assumptions of the error terms in the simple linear regression model except
► normality       ► error terms with a mean of zero      ► constant variance      ► variance of one
Which one of the following statements is not true?
► Correlation shows a degree of association between two variables.
► You can make any predictions with results of correlation.
► Correlation helps proceed further with regression analysis.
► You can make Predictions on the base of regression equations.
The c2 distribution is ---------------
► Positively skewed        ► Negatively skewed       ► Symmetrical        ► None of these
In the regression line Y = a + bX., a represents
Intercept of the line Slope of the line
Slope of the curve None of the above

In the formula,                     , e is a constant whose value is ……………

► 2.71828        ► 3.14157    ► 22 / 7      ► 9.325
Which distribution is most commonly used for the continuous data?
Vicky From VUHope@gmail.com               033167317672                                                 Page 7
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► Normal Distribution           ► Binomial Distribution
► Poisson Distribution         ► Negative Binomial Distribution
For any event if the probability of success is x, then the probability of failure is
► also x       ►1+x          ►1–x          ►x-1
The standard deviation of any sampling distribution is called
► sampling error         ► type –I error        ► standard error       ► non sampling error
For graphing univariate data we use
► Pie charts,Bar charts .       ► Pareto diagrams.        ► Side by side chart .      ► Both (1) & (2)
Interest paid (earned) on only the original principal borrowed (lent) is often referred to as
► simple interest          ► present value       ► future value     ► compound interest
The sales of a company increases from Rs.100,000 last month to Rs.120,000 this month. The percentage
change in profit for the month?
► 20%         ► 40%         ► 10%      ► 60%
Amount of discount is obtained as
► Percentage of Discount x List Price (correct)            ► Percentage of Discount / List Price
► Percentage of Discount - List Price           ► None of these
If a and b are any two integers such that a<b then a-b is
► positive        ► negative       ► canot be told       ► zero
If the salary of an employee is 10,000 and his allowances are 5,000 then what is the taxable income of the
employee?         ► 5,000       ► 10,000      ► Zero         ► 15,000
Compound interest is always:
► Higher than simple interest           ► Smaller than simple interest
► Less than annuity       ► Equals to simple interest
The RSQ of any data is
► Square root of correlation coefficient.        ► Square of correlation coefficient.
► Correlation coefficient.        ► Slope of the data.
12% of the electric bulbs manufactured by a company are defective. What is the probability that a bulb
selected will not be defective?
► 90 %         ► 88 %        ► 80 %       ► 85 %
If there is a indirect relationship between rainfall & yield of crops then
► Yield is higher if rainfall is less       ► Yield is lower if rainfall is less
► Yield is higher if rainfall is higher      ► Yield is higher if rainfall is nothing
If the estimating equation is Y = a – b X, which of the following is true
► The y intercept is b        ► Slope of line is positive
► There is inverse relationship          ► There is direct relationship
How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?
► 256        ► 12       ► 81      ► None of these
How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10
letters?
► 5^10        ► 10^5        ► 10P5      ► 10C5
Equation of line having slope 0 and passing through the point A (0, 0) is
► X =0        ► Y= X         ► Y=0(correct)       ► X-1= 0
The value of c2 is always ------------------
► Positive        ► Negative                   None of these
Which of the following indicates a strong positive correlation.
r = 0 r = -0.793 r = 0.913 r = 0.45
(3x  2 y)0
Binomial expansion for                      is equal to

Vicky From VUHope@gmail.com                        033167317672                                     Page 8
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(3 x  2 y )
►1                        ►
(0  3x  2 y )        (3x  0  2 y )
►                      ►
New forecast =……
► Old forecast + proportion of error ..         ► Old forecast - proportion of error
► Old forecast * proportion of error         ► Old forecast / proportion of error
Which is the correct syntax for the determinant of a matrix given by the following array

► =DETERM(B4:E7) ► =MDTERM(B4:E7)
► =MDETERM(B4:E7)               ► =MDETERM(B4;E7)
If C is the cost and S is the selling price of a certain item then the formula for its markup is given by
► (S-C)/S *100%          ► (S-C)/C *100%           ► (C-S)/S *100%       ► (C-S)/C *100%
There is an investment of _________ of basic salary on behalf of the employee in Provident Fund
► 1/11th       ► 2/11th      ► 3/11th      ► 5/11th

VDB returns the depreciation of an asset for

Zero period One period
Two period Any arbitrary period

Solve x – 16 = 12 for x.
4 28 –4 –28

Syntax for the Poisson distribution is

Men tend to marry women who are slightly younger than themselves.Suppose that every man married a woman who was
exactly .5 of a yearyounger than themselves. Which of the following is CORRECT?

Vicky From VUHope@gmail.com                  033167317672                                                     Page 9
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► The correlation is −.5.     ► The correlation is .5.   ► The correlation is 1.
► The correlation is −1.     ► The correlation is 0
If high or low numbers have a significant effect on a list of numbers, the ----------- may be better than the mean.
► mode       ► median         ► range      ► quartile
If you invest some amount at an interest rate of 8%, then at the end of 9 years. What will be the value of
Accumulation Factor?
► 12.736      ► 12.487         ► 12.965      ► 12.856
Which of the following is not a measure of central tendency
► Percentile       ► quartile      ► standard deviation         ► mode
If the dependent variable increases with the independent variable then the coefficient of correlation is
► 0 to -1     ► 0 to – 0.5       ► 0 to -2     ► 0 to 1
There are 5 Rock songs, 6 Carnatic songs and 3 Indian pop songs. How many different albums can be
formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?
► 15624       ► 16384        ► 6144       ► 240
In given Qrtly, data the first step in computing seasonal index is calculating
► 4 qtr moving average       ► Discard highest and lowest values
► 4 qtr. Moving total        ► 2 qtr. Moving total
The variance is
► Found by dividing by N by the mean.          ► In the same units as the original data.
► Found by squaring the standard deviation             ► Calculate by dividing the S.D. with mean
If many data points are close to the mean, then the standard deviation is -----------.
►0      ► Small         ► Large       ► Middle value
In a linear regression of y on x, y = a + bx,
► the variance of x is constant for all values of y     ► a fitted straight line goes through (0, 0)
► Both variables have the same variance             ► x is the explanatory variable
The Basic salary of an employee is Rs 7,000. What is the contribution of the company on account of
gratuity to the Gratuity Trust Fund?
► Rs 636.36       ► Rs 6363.6    ► Rs 63.636      ► Rs 6363
An arrangement of data by successive time periods is called a
►Exponential Smoothing ►Time Series
►Combination ►Permutation
The graph of time series is called
►Straight line ►Smooth Curve
►Parabola ►Histogram

When a straight is fitted to time series data, it is called
►Linear equation ►Linear regression
►Linear trend►Non-Linear equation
What variation does moving average method eliminate?
►Seasonal►Cyclical
►Irregular►Secular trend
The temperature was 30°C in the afternoon and the temperature dropped to 26°C in the evening. Find the
percentage change in the temperature.
13.33% 15% 14.26% 12%
Observed errors, which represent information from the data which is not explained by the model, are called?
►Marginal values►Residuals
►Mean square errors►Standard errors

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An insurance company wants to predict sales from the amount of money they spend on advertising. Which
would be the independent variable?
►(iii) insufficient information to decide►(iv) Both (i) and (ii) are correct.
Frequency of occurrence is used in finding the
►weighted mean►median►mode►variance
If the equation of regression line is y = 5, then what result will you take out from it?
The line passes through origin. The line passes through (5, 0)
The line is parallel to y-axis. The line is parallel to x-axis
Which of the following graphs is a visual presentation using horizontal or vertical bars to make comparisons
or to show relationships on items of similar makeup?
► bar graph         ► pie graph      ► pictograph       ► line graph
In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not
appear together?
► 10! - 2!      ► 9! - 2!     ► 10! - 9!      ► None of these
Which of the following describe the middle part of a group of numbers?
► Measures of central tendency            ► measures of variability
► measures of shape          ► measures of association
In the United States, 43% of people wear a seat belt while driving. If two people are chosen at random, what is the
probability that both of them wear a seat belt?
► 18%        ► 20%      ► 25%        ► None of these
The midrange is not greatly affected by outliers
► False       ► True
In which of the following form, can the probability be written?
► fraction      ► decimal      ► percentage      ► All of these.
The moving averages of the Prices 90,70,30,110 are
► 63.33, 70     ► 73.33,80       ► 45.45, 68     ► 65.50, 75
Sum of annuity is always
► Present value        ► Future value        ► Net present value      ► Current value
Write a formula to find the simple interest (I) if \$5000 is invested at 4% for 2 years.
► I=PRT          ► I=P+R+T        ► I=PT       ► I=P(R+T)
Solve 3x = 27 for x
► 0.9      ►6        ► 18      ►9
If the value of r is zero then the graph of the data points shows
► evenly skewness         ► positively scattered      ► no associations      ► negative associations
The minimum number of points required to calculate the intercept of a straight line is/are
► one        ► two       ► three     ► one or theree
What will be the rate of 20 as a base and percentage is 25?
► 120%         ► 125%        ► 130%        ► None of these
The value of x after solving the following linear equation is                    -2x + 6 = 4x - 2
►0       ►3        ► 1/2      ► 4/3
Order of a Matrix =
► Number of Columns xNumber of Rows               ► Number of Rows / Number of Columns
► Number of Rows x Number of Columns                ► None of these
Markdown means a reduction from the
► Original cost price       ► Original sale price       ► Original Net price     ► None of these
If an asset is purchased at Rs 3000 on the date 6/29/2008 and the first depreication period ends on 11/29/2008, where salvage value is
300 and period is taken as 1 on 20% interest rate where basis =1, then which of the following function Returns the depreciation for
given accounting period

Vicky From VUHope@gmail.com                        033167317672                                                              Page 11
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► =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1*12, 20%, 1)
► =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1, 20% / 12 , 1)
► =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1, 20%, 1)
► =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1*12 , 20%/12, 1)              ► None of these
Which of the following is the system of linear equations?
►4x+6y=9           ► 3 x2 + 5 y2 = 7 , x + y = 8    ► 5 x + 7 y = 12, 2 x + 8 y = 10   ►2x2–5x+7=0
To find average of numbers given in figure ,one can apply the excel formula

► =AVERAGE(E12:E13)           ► =AVERAGE(E5:E12) ► =SUMIF(E5:E12)                 ► =DSUM(E5:E12)
An arrangement of all or some of a set of objects in a ….. order is called permutation.
► Definite    ► Indefinite     ► Same        ►
6!.......
► 720     ► 620     ► 420      ► 520
Expected = …….
► Trend - Seasonal    ► Trend + Seasonal         ► Trend * Seasonal        ► Trend / Seasonal

Random = …….
► Actual / expcted       ► Actual +expected        ► Actual * expected      ► Actual - expected
The standard deviation is      ► a measure of variability.     ► the square root of the variance.
► twice the standard error.      ► half the range.
Coefficient of variation shows dispersion of the
If a hypothesis specifies the population distribution is called
► composite hypothesis           ► test statistic      ► alternative hypothesis    ► simple hypothesis
Which distribution is most commonly used to model the number of random occurrences of some phenomenon
in a specified unit of space or time?
► Normal Distribution► Binomial Distribution ► Poisson Distribution ► Negative Binomial Distribution
A regression equation was computed to be Y = 35 + 6X,the value of 35 indicates that
► An increase in one unit of X will result in an decrease of 35 in Y       ► The coefficient of correlation is 35
► The coefficient of determination is 35     ► The regression line crosses the Y-axis at 35
Chi-distribution is used to decide whether or not certain variables are
► Dependent        ► Independent          ► Discrete       ► Continuous
Time series data is analyzed by the moving average.
► True         ► False
Vicky From VUHope@gmail.com                      033167317672                                                           Page 12
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An arrangement of data by successive time periods is called a
___Exponential Smoothing___Time Series___Combination___Permutation
The graph of time series is called
___Straight line___Smooth Curve___Parabola___Histogram
When a straight is fitted to time series data, it is called
___Linear equation___Linear regression___Linear trend___Non-Linear equation
What variation does moving average method eliminate?
___Seasonal___Cyclical___Irregular___Secular trend
Frequency of occurrence is used in finding the
__weighted mean___median___mode___variance
If the equation of regression line is y = 5, then what result will you take out from it?
___The line passes through origin.___The line passes through (5, 0)
___The line is parallel to y-axis.___The line is parallel to x-axis
Which of the following graphs is a visual presentation using horizontal or vertical bars to
make comparisons or to show relationships on items of similar makeup?
_ bar graph_ pie graph_ pictograph_ line graph
Which of the following describe the middle part of a group of numbers?
_ Measures of central tendency_ measures of variability
_ measures of shape_ measures of association
If the value of r is zero then the graph of the data points shows
_ evenly skewness_ positively scattered_ no associations_ negative associations
The minimum number of points required to calculate the intercept of a straight line is/are
_ one_ two_ three_ one or theree
The standard deviation is
_ a measure of variability._ the square root of the variance._ twice the standard error._ half the
range.
Coefficient of variation shows dispersion of the
A regression equation was computed to be Y = 35 + 6X,the value of 35 indicates that
_ An increase in one unit of X will result in an decrease of 35 in Y
_ The coefficient of correlation is 35_ The coefficient of determination is 35_ The regression line crosses the Y-axis at 35
Time series data is analyzed by the moving average.
_ True_ False
Which of the following terms is a measure of the central tendency?
_ Standard Deviation_ Variance_ Average(Correct)
_ None of these
In a positively skewed distribution
_ The mean, median, and mode are all equal._ The mean is larger than the median (Correct)
_ The median is larger than the mean._ The standard deviation must be larger than the mean or the
For what purpose is the method of least squares used on time-series data?
_ It is used for eliminating irregular movements_ It is used for obtaining the trend equation.
_ It is used for deseasonalizing the data._ It is used for exponentially smoothing a series.
Which one of the following statements is not true?
_ Correlation shows a degree of association between two variables.
_ You can make any predictions with results of correlation.
_ Correlation helps proceed further with regression analysis.
_ You can make Predictions on the base of regression equations.

Vicky From VUHope@gmail.com                    033167317672                                                        Page 13
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Men tend to marry women who are slightly younger than themselves.Suppose that every man married a
woman who was exactly .5 of a yearyounger than themselves. Which of the following is CORRECT?
_ The correlation is −.5._ The correlation is .5._ The correlation is 1._ The correlation is −1._ The correlation
is 0
If high or low numbers have a significant effect on a list of numbers, the -----------may be better than
the mean.
_ mode_ median_ range_ quartile
Which of the following is not a measure of central tendency
_ Percentile_ quartile_ standard deviation_ mode
If the dependent variable increases with the independent variable then the coefficient of correlation is
_ 0 to -1_ 0 to – 0.5_ 0 to -2_ 0 to 1
The variance is
_ Found by dividing by N by the mean._ In the same units as the original data.
_ Found by squaring the standard deviation_ Calculate by dividing the S.D. with mean
If many data points are close to the mean, then the standard deviation is -----------
._ 0_ Small_ Large_ Middle value
In a linear regression of y on x, y = a + bx,
_ the variance of x is constant for all values of y_ a fitted straight line goes through (0, 0)
_ Both variables have the same variance_ x is the explanatory variable
The c2 distribution is ---------------
_ Positively skewed_ Negatively skewed_ Symmetrical_ None of these
In the regression line Y = a + bX., a represents
___Intercept of the line___Slope of the line___Slope of the curve___None of the above
In the formula, , e is a constant whose value is ……………
_ 2.71828_ 3.14157_ 22 / 7_ 9.325
Which distribution is most commonly used for the continuous data?
_ Normal Distribution_ Binomial Distribution_ Poisson Distribution_ Negative Binomial Distribution
Question No: 5 ( Marks: 1 ) - Please choose one
For any event if the probability of success is x, then the probability of failure is
_ also x_ 1 + x_ 1 – x_ x - 1
The standard deviation of any sampling distribution is called
_ sampling error_ type –I error_ standard error_ non sampling error
For graphing univariate data we use
_ Pie charts,Bar charts ._ Pareto diagrams._ Side by side chart ._ Both (1) & (2)
Interest paid (earned) on only the original principal borrowed (lent) is often referred to as
_ simple interest_ present value_ future value_ compound interest
The sales of a company increases from Rs.100,000 last month to Rs.120,000 this month.
The percentage change in profit for the month?
_ 20%_ 40%_ 10%_ 60%
Amount of discount is obtained as
_ Percentage of Discount x List Price_ Percentage of Discount / List Price
_ Percentage of Discount - List Price_ None of these
Question No: 11 ( Marks: 1 ) - Please choose one
If a and b are any two integers such that a<b then a-b is
_ positive _ negative_ canot be told_ zero
If the salary of an employee is 10,000 and his allowances are 5,000 then what is the
taxable income of the employee?
_ 5,000_ 10,000_ Zero_ 15,000
Compound interest is always:
Vicky From VUHope@gmail.com                      033167317672                                            Page 14
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_ Higher than simple interest_ Smaller than simple interest
_ Less than annuity                      _ Equals to simple interest
The RSQ of any data is
_ Square root of correlation coefficien_ Square of correlation coefficient.
_ Correlation coefficient._ Slope of the data.
12% of the electric bulbs manufactured by a company are defective. What is the
probability that a bulb selected will not be defective?
_ 90 %_ 88 %_ 80 %_ 85 %
If there is a indirect relationship between rainfall & yield of crops then
_ Yield is higher if rainfall is less_ Yield is lower if rainfall is less
_ Yield is higher if rainfall is higher_ Yield is higher if rainfall is nothing
If the estimating equation is Y = a – b X, which of the following is true
_ The y intercept is b_ Slope of line is positive
_ There is inverse relationship_ There is direct relationship
How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the
prizes?
_ 256_ 12_ 81_ None of these
How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can
take more than 10 letters?
_ 5^10_ 10^5_ 10P5_ 10C5
Equation of line having slope 0 and passing through the point A (0, 0) is
_ X =0_ Y= X_ Y=0_ X-1= 0
The c2 distribution is ---------------
► Positively skewed        ► Negatively skewed       ► Symmetrical         ► None of these

In the regression
line Y = a + bX., a represents Intercept of the line
Slope of the line
Slope of the curve
None of the above

In the formula,                      , e is a constant whose value is ……………

► 2.71828      ► 3.14157       ► 22 / 7     ► 9.325
Which
distribution is most commonly used for the continuous data?
► Normal Distribution► Binomial Distribution► Poisson Distribution ► Negative Binomial Distribution
For any event if the
probability of success is x, then the probability of failure is
► also x     ►1+x          ►1–x        ►x-1
The standard
deviation of any sampling distribution is called
► sampling error       ► type –I error     ► standard error       ► non sampling error
For graphing
univariate data we use
► Pie charts,Bar charts      ► Pareto diagrams.        ► Side by side chart  ► Both (1) & (2)

Vicky From VUHope@gmail.com               033167317672                                                 Page 15
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Interest paid
(earned) on only the original principal borrowed (lent) is often referred to as
► simple interest       ► present value     ► future value        ► compound interest
The sales of a
company increases from Rs.100,000 last month to Rs.120,000 this month. The percentage change in profit for
the month?
► 20%        ► 40%       ► 10%        ► 60%
Amount of
discount is obtained as
► Percentage of Discount x List Price       ► Percentage of Discount / List Price
► Percentage of Discount - List Price      ► None of these
If a and b are any
two integers such that a<b then a-b is
► positive       ► negative       ► canot be told     ► zero
If the salary of
an employee is 10,000 and his allowances are 5,000 then what is the taxable income of the employee?
► 5,000       ► 10,000      ► Zero      ► 15,000
Compound
interest is always:
► Higher than simple interest         ► Smaller than simple interest
► Less than annuity       ► Equals to simple interest
The RSQ of any
data is
► Square root of correlation coefficient.     ► Square of correlation coefficient.
► Correlation coefficient.                    ► Slope of the data.
12% of the
electric bulbs manufactured by a company are defective. What is the probability that a bulb selected will not be
defective?
► 90 %       ► 88 %       ► 80 %        ► 85 %
If there is a
indirect relationship between rainfall & yield of crops then
► Yield is higher if rainfall is less    ► Yield is lower if rainfall is less
► Yield is higher if rainfall is higher   ► Yield is higher if rainfall is nothing

If the estimating
equation is Y = a – b X, which of the following is true
► The y intercept is b     ► Slope of line is positive
► There is inverse relationship        ► There is direct relationship
How many ways
can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?
► 256       ► 12     ► 81      ► None of these
How many ways
can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?
► 5^10        ► 10^5       ► 10P5       ► 10C5
Equation of line
having slope 0 and passing through the point A (0, 0) is
► X =0        ► Y= X       ► Y=0        ► X-1= 0
The formula for SYD is (cost -salvage)*(………….)/life(life+1)

Vicky From VUHope@gmail.com                 033167317672                                                  Page 16
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Life+per+1           Life - per+1      (Life - per+1)2            Life+per-1
……… is the number of periods over which the asset is depreciated
Life            asset           interval                none of these
The Break Even Point in units is 85 and Production Capacity = 450 units per period,
then the break Even point as a % of capacity will be ---------
12.5%             15.7%                  18.9%                 20.5%
Cost analysis for a firm provides the following information: Total Fixed Costs (FC) per
period = Rs. 96,000 Variable Costs (VC) = Rs. 30 per unit. Contribution Margin = Rs
160,000 What is the net income?
Rs.3,200                 Rs.5,333            Rs.64,000               Rs.256,000
Which of the following function returns the depreciation of an asset for a specified
period.
DDB              DB            IRR                  MIRR
If the selling price of a steak is \$1.20, the total fixed cost is \$30,000, and the variable
cost per unit is \$1, how many units must be sold to break-even?
25,000 units             30,000 units         100,000 units          150,000 units
Which of the following equations have x=2, y=3 as solution?
x-y = 12               x+y = 10           3x-4y = -6          None of these
If break even point in unit is 432 and fixed cost is 8640 then contribution margin will
be
8208                9072             3732                      20
……….. returns the sum-of-years' digits depreciation of an asset for a specified period.
SLN               SYD             VDB                      IRR
he internal rate of return is the interest rate received for an investment consisting of
payments (negative values) and the income (positive values) that occurs at
Non-regular periods           Regular periods          Only one period       An arbitrary period
…………… returns the straight-line depreciation of an asset for one period.
SLN               SYD               VDB                         IRR
Contribution Margin per unit (CM) =
Sale(S) – Variable cost (VC)                    Sale(S) + Variable cost (VC)
Sale(S)xVariable cost (VC)                      Sale(S)/Variable cost (VC)
Cost analysis provides the following information: Fixed Costs (FC) per period = Rs.
30000 Variable Costs (VC) = Rs. 40 per unit. Selling price per unit = S = 70 Rs .
Contribution Margin per unit = Rs. 30 Contribution rate will be...........
20%                43%             57%                 70%
9 – If x = 9 satisfy the equation 7 x – 2y = 21, then the value of y is
23               21              22                      20
In SLN, the cost is the initial cost of ……..
Asset          income            capital          none of these
If x=2y+3 and y=2x+3 then the solution is given by
(-3,3)        (3,-3)        (3,3)         (-3,-3)
If FC is Rs 4500 and Contribution Margin is Rs 50, then the BEP in units is
70        80         90           95
Complete the syntax of the function NPV (rate, ……, value2)
Value 1          Value 3           Basis           Value 4
Break even point (BEP) as percent of capacity is calculated as ………
Production Capacity (PC) +(BEP in rupees) ×100%
Production Capacity (PC) - (BEP in rupees)×100%

Vicky From VUHope@gmail.com               033167317672                                             Page 17
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Production Capacity (PC) /(BEP in rupees) ×100%
(BEP in units)/ Production Capacity (PC)×100%
Break even point (BEP) in rupees is calculated as ………
(Fixed cost (FC) / Contribution Margin (CM))*S
(Contribution Margin (CM)/Fixed cost (FC)) * S
(Contribution Margin (CM) - Fixed cost (FC))*S
(Contribution Margin (CM)+Fixed cost (FC))* S
Contribution Margin is the amount that can be calculated by deducting Variable Cost
from
Contribution Rate           Net Sale        Net income         None of these
The break even point can be defined as
The level of activity where variable costs are covered by sales revenue
The level of activity where profits equal fixed costs
The level of activity at which there is neither profit nor loss
The level of activity where cash flow is zero
Which of the following function returns the depreciation of an asset for a specified period.
DDB             DB         IRR         MIRR
Complete the syntax of AMORLINC (cost, date_purchased, first_period, … .., period,rate,basis)
Salvage          Depreciate            Loss           Purchase
Complete the syntax of the function NPV (rate, ……, value2)
Value 1          Value 3         Basis         Value 4
What is the formula of BEP in Rs?
CM / FC           (CM / FC) * S          FC / CM           (FC / CM) * S
……. Returns the depreciation for each accounting period.
AMORDEGRC                  AMORLINC            NPV         PV
If the selling price of a steak is \$1.20, the total fixed cost is \$30,000, and the variable
cost per unit is \$1, how many units must be sold to break-even?
25,000 units           30,000 units        100,000 units         150,000 units
9 – If x = 9 satisfy the equation 7 x – 2y = 21, then the value of y is
23          21         22                20
When Cash Inflow is equal to Cash Outflow, then at this point, Company has
Positive cash flow            Negative cash flow         Neutral cash flow        None of these
Break even point (BEP) as percent of capacity is calculated as ………
Production Capacity (PC) +(BEP in rupees) ×100%                  Production Capacity (PC) - (BEP in rupees)×100%
Production Capacity (PC) /(BEP in rupees) ×100%                   (BEP in units)/ Production Capacity (PC)×100%
Which of the following is the correct formula for calculating the sale
CM – VC            CM + VC                     FC – CM              FC + CM
CUMIPMT calculates the cumulative interest paid on a loan. CUMIPMT calculates it for --------------
Simple Interest         Compound Interest              Annuity            None of these
If FC is Rs 4430 and the BEP in units is 89, then Contribution Margin is …………….
Rs 40.5                 Rs 45.6         Rs 49.8            Rs 50.8
……….Returns the net present value of an investment based on a series of periodic cash flows and a discount
rate.
NPV          PV         XNPV        IRR
If the selling price of a steak is \$1.20, the total fixed cost is \$30,000, and the variablecost per unit is \$1, how
many units must be sold to break-even?
25,000 units          30,000 units          100,000 units          150,000 units
Complete the syntax of AMORLINC (cost, date_purchased, first_period, … .., period,rate,basis)

Vicky From VUHope@gmail.com                 033167317672                                                    Page 18
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Salvage          Depreciate       Loss       Purchase
………….. returns the depreciation of an asset for any period you specify, including partial periods.
SLN        SYD         VDB        IRR
Contribution Margin per unit (CM) =
Sale(S) – Variable cost (VC)       Sale(S) + Variable cost (VC)
Sale(S)xVariable cost (VC)         Sale(S)/Variable cost (VC)
If the value of contribution margin is 7000 and sale is 8500 then contribution rate will be
1500            5950       82.35       1.214
The value of c2 is always ------------------
_ Positive_ Negative__ None of these
Which of the following indicates a strong positive correlation.__
r= 0      r= -0.793       r= 0.913        r= 0.45
Binomial expansion for
0   (3 2 ) x y is equal to        _1        (3 2 ) x y                         (3
(0 3 2 ) x y  0 2 ) x y 
New forecast =……
_ Old forecast + proportion of error ..              _ Old forecast - proportion of error
_ Old forecast * proportion of error         _ Old forecast / proportion of error
Which is the correct syntax for the determinant of a matrix given by the following array
_ =DETERM(B4:E7)           _ =MDTERM(B4:E7)           _ =MDETERM(B4:E7) _ =MDETERM(B4;E7)
If C is the cost and S is the selling price of a certain item then the formula for its markup is given by
_ (S-C)/S *100%       _ (S-C)/C *100% _ (C-S)/S *100% _ (C-S)/C *100%
There is an investment of _________ of basic salary on behalf of the employee in Provident Fund
_ 1/11th     _ 2/11th    _ 3/11th     _ 5/11th
VDB returns the depreciation of an asset for___
Zero period___       One period              Two period             Any arbitrary period
Solve x – 16 = 12 for x.
___4___28___–4___–28
Syntax for the Poisson distribution is___
POISSON(x, mean, cumulative)___POISSON(x, mode, cumulative)___POISSON(x, median,
cumulative)___POISSON(x, y, mean, cumulative)
Men tend to marry women who are slightly younger than themselves. Suppose that every man married a
woman who was exactly .5 of a year younger than themselves. Which of the following is CORRECT?
_ The correlation is −.5._ The correlation is .5._ The correlation is 1._ The correlation is −1.
_ The correlation is 0
If high or low numbers have a significant effect on a list of numbers, the ----------- may be better than
the mean.
_ mode
_ median
_ range

Vicky From VUHope@gmail.com                    033167317672                                            Page 19
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_ quartile
Question No: 13 ( Marks: 1 ) - Please choose one
If you invest some amount at an interest rate of 8%, then at the end of 9 years.
What will be the value of Accumulation Factor?
_ 12.736
_ 12.487
_ 12.965
_ 12.856
Question No: 14 ( Marks: 1 ) - Please choose one
Which of the following is not a measure of central tendency
_ Percentile
_ quartile
_ standard deviation
_ mode
Question No: 15 ( Marks: 1 ) - Please choose one
If the dependent variable increases with the independent variable then the coefficient of
correlation is
_ 0 to -1
_ 0 to – 0.5
_ 0 to -2
_ 0 to 1
Question No: 16 ( Marks: 1 ) - Please choose one
There are 5 Rock songs, 6 Carnatic songs and 3 Indian pop songs. How many different
albums can be formed using the above repertoire if the albums should contain at least 1
Rock song and 1 Carnatic song?
_ 15624
_ 16384
_ 6144
_ 240
Question No: 17 ( Marks: 1 ) - Please choose one
In given Qrtly, data the first step in computing seasonal index is calculating
_ 4 qtr moving average
_ Discard highest and lowest values
_ 4 qtr. Moving total
_ 2 qtr. Moving total
Question No: 18 ( Marks: 1 ) - Please choose one
The variance is

Vicky From VUHope@gmail.com             033167317672                                        Page 20
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_ Found by dividing by N by the mean.
_ In the same units as the original data.
_ Found by squaring the standard deviation
_ Calculate by dividing the S.D. with mean
Question No: 19 ( Marks: 1 ) - Please choose one
If many data points are close to the mean, then the standard deviation is -----------.
_0
_ Small
_ Large
_ Middle value
Question No: 20 ( Marks: 1 ) - Please choose one
In a linear regression of y on x, y = a + bx,
_ the variance of x is constant for all values of y
_ a fitted straight line goes through (0, 0)
_ Both variables have the same variance
_ x is the explanatory variable

Question No: 1       ( Marks: 1 ) - Please choose one
As the coefficient
of correlation r is always between -1 and 1 inclusive, +1 indicates
► Perfect positive linear correlation
► Perfect negative linear correlation

Question No: 2       ( Marks: 1 )      - Please choose one
If many data points
are close to the mean, then the standard deviation is -----------.

►0
► Small
► Large
► Middle value

Question No: 3       ( Marks: 1 )      - Please choose one
Which one of the
following statements is not true?
► Correlation shows a degree of association between two variables.

Vicky From VUHope@gmail.com                      033167317672                                       Page 21
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► You can make any predictions with results of correlation.
► Correlation helps proceed further with regression analysis.
► You can make Predictions on the base of regression equations.

Question No: 4      ( Marks: 1 )    - Please choose one
What does the
slope of the linear regression line represent?
► Rate of change of regression line.
► Vertical distance from the line.
► Horizontal distance divided by vertical distance between two points on the line.
► Horizontal distance between two points on the line.

Question No: 5      ( Marks: 1 )    - Please choose one
As the relationship
deteriorates from a perfect correlation, what happens to the points on a scatter diagram?

► They become more scattered.
► The slope changes.

► The y-intercept changes.
► Both (ii) and (iii), above.

Question No: 6      ( Marks: 1 )    - Please choose one
In correlation
analysis

► We consider several independent variables.
► We study the strength of the association between two variables.
► We consider the intercept with the Y-axis.
► We consider only one independent variables.

Question No: 8      ( Marks: 1 )    - Please choose one
The mean of the
following is: 12, 9, 3, 8, 5

► 7.2
► 7.1
► 7.4
► 7.5

Question No: 9      ( Marks: 1 )    - Please choose one
For what purpose is
the method of least squares used on time-series data?
► It is used for eliminating irregular movements

► It is used for obtaining the trend equation.

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► It is used for deseasonalizing the data.

► It is used for exponentially smoothing a series.

Question No: 10    ( Marks: 1 )    - Please choose one
Which is incorrect?

► The mode is a measurement that records value

► A bar graph is same as line graph
► A mean may cause distortions
► A circle graph is based on 360∞

Question No: 11    ( Marks: 1 )    - Please choose one
The weighted mean
is a special case of the
► Mean
► Harmonic mean
► Mode
► Geometric mean

Question No: 12    ( Marks: 1 )    - Please choose one
Four dice are rolled
simultaneously. What is the number of possible outcomes in which at least one of the die shows 6?
► 6! / 4!
► 625
► 671
► 1296

Question No: 13    ( Marks: 1 )    - Please choose one
If there is a indirect
relationship between rainfall & yield of crops then
► Yield is higher if rainfall is less
► Yield is lower if rainfall is less
► Yield is higher if rainfall is higher
► Yield is higher if rainfall is nothing

Question No: 14    ( Marks: 1 )    - Please choose one

Vicky From VUHope@gmail.com                033167317672                                                 Page 23
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What will be the answer of the SUMIF formula?

► 1075
► 985
► 855
► 130

Question No: 15     ( Marks: 1 )   - Please choose one
If the dependent
variable increases with the independent variable then the coefficient of correlation is
► 0 to -1

► 0 to – 0.5

► 0 to -2

► 0 to 1

Question No: 16     ( Marks: 1 )   - Please choose one
Twelve randomly-
chosen students were asked how many times they had missed class during a certain semester, with this result: 2,
1, 5, 1, 1, 3, 4, 3, 1, 1, 5, 18. For this sample, which measure of central tendency is least representative of the
"typical" student?

► Mean
► Median
► Mode

► Midrange

Vicky From VUHope@gmail.com                 033167317672                                                  Page 24
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Question No: 17                 ( Marks: 1 )   - Please choose one
The formula to
calculate Mean squared deviation from the mean is

2
1 n
n i 1

 x x                
►
1 n
n i 1

 xi  x              
►
n                  2


i 1
xi  x   
►
2
1 n
n i 1

 xi  x              
►

Question No: 18                 ( Marks: 1 )   - Please choose one
If the standard
deviation of a population is 9, the population variance is:
►3
►9
► 21.35
► 81

Question No: 19                 ( Marks: 1 )   - Please choose one

A runner has 1 / 4 chance of winning a round of the race. If the race has 2 rounds, what is the probability that
the runner will win the race?
►2/3
►2/4
►3/4
►1/3

Question No: 20                 ( Marks: 1 )   - Please choose one
In the equation
Y  a  bX the formula to calculate b is

n xy   x  y
b
n x 2  ( x)2
►

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n xy   x  y
b
x   2
 ( x)2
►
n xy   x  y
b
n x 2  ( x)
►

b
 xy   x  y
n x  ( x)
2          2

►

Question No: 21         ( Marks: 1 )   - Please choose one
Find A in the
formula A = LW if L = 4 and W = 2.5.
► 6.5
► 2.9
► 10
► 1.0

Question No: 22         ( Marks: 1 )   - Please choose one
Ali has bought his
new motorcycle on installments. He will pay Rs. 2000 for 30 months. If the bike currently cost Rs.
54000 what percent of current cost he will pay more after 30 months.

► 6%
► 15%
► 11.2%
► 10%

Question No: 23         ( Marks: 1 )   - Please choose one
According   to
taxation rules; the amount of allowances is treated tax free if it is upto   of the basic salary.

► Half of
► One third
► 40%
► One fourth

Question No: 24         ( Marks: 1 )   - Please choose one
The point where a
straight line cuts the X-axis is called
► slope
► starting point
► y-intercept
► x-intercept

Vicky From VUHope@gmail.com                   033167317672                                                Page 26
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Question No: 26        ( Marks: 1 )     - Please choose one
Total Provident Fund
added to the employee‟s fund is ----------------- of the basic salary.
► 1 / 11 th
► 2 / 11 th
► 9.09 %
► 9.99%

Question No: 27        ( Marks: 1 )     - Please choose one
Dimension of a
matrix means
► Column space

► Row space

► Order of the matrix

► None of these

Question No: 28        ( Marks: 1 ) - Please choose one
Markup is an amount
added to a ……………while calculating a selling price
► Cost price

► Bid price

► Offer price

► None of these

Question No: 29        ( Marks: 1 )     - Please choose one

The cost price of certain item is Rs 50 and its selling price is Rs 80. What is the markup percentage?
► 50%
► 60%
► 70%
► 80%

Question No: 30        ( Marks: 1 )     - Please choose one

Umair‟s greeting card business sells a card for Rs. 30. To make his desired profit, Umair needs a 35% Markup
on Selling Price. What does a greeting card Cost Tanveer?
► Rs 9.5
► Rs 19.5
► Rs 29.5
► Rs 22.5

Vicky From VUHope@gmail.com                      033167317672                                             Page 27
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Question No: 32      ( Marks: 1 )    - Please choose one
based on criteria stored in a separate range we use
► IF and SUM functions.

► DSUM function.
► AVERAGE function.

► all functions in above given choices.

Question No: 33      ( Marks: 1 )    - Please choose one

3x2 + 5x – 7 is --------------- expression.

► Monomial
► Binomial
► Trinomial
► Linear

Question No: 34      ( Marks: 1 )    - Please choose one
Number of 5
permutations of 5 different objects taken 5 at a time is......
► 5!
► 6!
► 0!
► 4!

Question No: 35      ( Marks: 1 )    - Please choose one

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The result of BINOMDIST is #NUM. Why?

► One parameter is missing.
► Third parameter is FALSE
► The number of successes in trials is negative.
► Probability of success on each trial is not suitable.

Question No: 36    ( Marks: 1 )    - Please choose one

The set of all possible outcomes of some experiment is called
► an event

►     sample space
► sample point

►      elementary event

Question No: 37    ( Marks: 1 )    - Please choose one
Two events A and
B are called mutually exclusive if they

► empty union

► non-empty union

► empty intersection
► non-empty intersection

Question No: 38    ( Marks: 1 )    - Please choose one

The number of phone calls received by a telephone operator in a certain period.
Which type of distribution can better deal with the above mentioned case?

► Binomial Distribution
► Normal Distribution
► Poisson Distribution
► None of the above.

Question No: 39    ( Marks: 1 )    - Please choose one
What do you
deduce from the diagram of the Normal Distribution?

Vicky From VUHope@gmail.com                033167317672                                     Page 29
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► Mean is greater than Standard deviation.
► Mean is lesser than Standard deviation.
► Mean is equal to Standard deviation.
► No result can be drawn.

Question No: 40     ( Marks: 1 )    - Please choose one
No Linear
Programming problem with an unbounded feasible region has a solution.

► true
► false
► may or may not
► none of these

Question No: 1     ( Marks: 1 )    - Please choose one
The Basic salary of
an employee is Rs 7,000.    What is the contribution of the company on account of gratuity to the Gratuity Trust
Fund?

► Rs 636.36
► Rs 6363.6
► Rs 63.636
► Rs 6363

Question No: 2     ( Marks: 1 )    - Please choose one
An arrangement of
data by successive time periods is called a

Time Series

Question No: 3     ( Marks: 1 )    - Please choose one
The graph of time
series is called

Vicky From VUHope@gmail.com                   033167317672                                              Page 30
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Straight line

Question No: 4      ( Marks: 1 )     - Please choose one
When a straight is
fitted to time series data, it is called

-Linear equation

Question No: 5      ( Marks: 1 )     - Please choose one
What variation
does moving average method eliminate?
Seasonal

Irregular

Question No: 6      ( Marks: 1 )     - Please choose one
The temperature
was 30°C in the afternoon and the temperature dropped to 26°C in the evening. Find the percentage change in
the temperature.

Question No: 7      ( Marks: 1 )     - Please choose one
Observed errors,
which represent information from the data which is not explained by the model, are called?

Vicky From VUHope@gmail.com                  033167317672                                               Page 31
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Standard errors

Question No: 8       ( Marks: 1 )    - Please choose one
An insurance
company wants to predict sales from the amount of money they spend on advertising. Which would be the
independent variable?

g

Question No: 9       ( Marks: 1 )    - Please choose one
Frequency of
occurrence is used in finding the

Question No: 10       ( Marks: 1 )    - Please choose one
If the equation of
regression line is y = 5, then what result will you take out from it?

The line passes through (5, 0)
-axis.
-axis

Question No: 11       ( Marks: 1 )    - Please choose one
Which of the
following graphs is a visual presentation using horizontal or vertical bars to make comparisons or to show
relationships on items of similar makeup?

► bar graph
► pie graph
► pictograph
► line graph

Question No: 12       ( Marks: 1 )    - Please choose one
In how many ways
can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?
► 10! - 2!
► 9! - 2!
► 10! - 9!
► None of these

Question No: 13       ( Marks: 1 )    - Please choose one

Vicky From VUHope@gmail.com                  033167317672                                               Page 32
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Which of the
following describe the middle part of a group of numbers?
► Measures of central tendency
► measures of variability
► measures of shape
► measures of association

Question No: 15     ( Marks: 1 )    - Please choose one
The midrange is
not greatly affected by outliers
► False
► True

Question No: 16     ( Marks: 1 )    - Please choose one

In which of the following form, can the probability be written?
► fraction
► decimal
► percentage
► All of these.

Question No: 18     ( Marks: 1 ) - Please choose one
Sum of annuity is
always

► Present value

► Future value

► Net present value

► Current value

Question No: 19     ( Marks: 1 )    - Please choose one
Write a formula to
find the simple interest (I) if \$5000 is invested at 4% for 2 years.

► I=PRT
► I=P+R+T
► I=PT
► I=P(R+T)

Question No: 20     ( Marks: 1 )    - Please choose one
Solve 3x = 27 for x

Vicky From VUHope@gmail.com                  033167317672                         Page 33
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► 0.9
►6
► 18
►9

Question No: 21     ( Marks: 1 )    - Please choose one
If the value of r is
zero then the graph of the data points shows

► evenly skewness
► positively scattered
► no associations
► negative associations

Question No: 22     ( Marks: 1 ) - Please choose one
The minimum
number of points required to calculate the intercept of a straight line is/are
► one
► two
► three
► one or theree

Question No: 23     ( Marks: 1 )    - Please choose one
What will be
the rate of 20 as a base and percentage is 25?

► 120%

► 125%

► 130%

►      None of these

Question No: 24     ( Marks: 1 )    - Please choose one
The value of x after
solving the following linear equation is
-2x + 6 = 4x - 2

►0
►3
► 1/2
► 4/3

Question No: 25     ( Marks: 1 )    - Please choose one
Order of a Matrix =

Vicky From VUHope@gmail.com                  033167317672                                    Page 34
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► Number of Columns xNumber of Rows

► Number of Rows / Number of Columns

► Number of Rows x Number of Columns

► None of these

Question No: 26        ( Marks: 1 )       - Please choose one
Markdown means a
reduction from the
► Original cost price

► Original sale price

► Original Net price

► None of these

Question No: 27        ( Marks: 1 )       - Please choose one
If an asset is purchased
at Rs 3000 on the date 6/29/2008 and the first depreication period ends on 11/29/2008, where salvage value is 300 and period is taken
as 1 on 20% interest rate where basis =1, then which of the following function Returns the depreciation for given accounting period

► =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1*12, 20%, 1)
► =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1, 20% / 12 , 1)
► =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1, 20%, 1)
► =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1*12 , 20%/12, 1)
► None of these

Question No: 28        ( Marks: 1 )       - Please choose one

Which of the following is the system of linear equations?
►4x+6y=9
► 3 x2 + 5 y2 = 7 , x + y = 8
► 5 x + 7 y = 12, 2 x + 8 y = 10
►2x2–5x+7=0

Question No: 29        ( Marks: 1 )       - Please choose one
To find
average of numbers given in figure ,one can apply the excel formula

Vicky From VUHope@gmail.com                        033167317672                                                              Page 35
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► =AVERAGE(E12:E13)

► =AVERAGE(E5:E12)
► =SUMIF(E5:E12)

► =DSUM(E5:E12)

Question No: 30     ( Marks: 1 )    - Please choose one
An arrangement of
all or some of a set of objects in a ….. order is called permutation.
► Definite

► Indefinite

► Same

► Different

Question No: 31     ( Marks: 1 )    - Please choose one
6!.......
► 720
► 620
► 420
► 520

Question No: 32     ( Marks: 1 )    - Please choose one

Expected = …….

► Trend - Seasonal
► Trend + Seasonal

Vicky From VUHope@gmail.com                 033167317672                            Page 36
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► Trend * Seasonal
► Trend / Seasonal

Question No: 34       ( Marks: 1 ) - Please choose one
The standard
deviation is
► a measure of variability.
► the square root of the variance.
► twice the standard error.

► half the range.

Question No: 35       ( Marks: 1 )     - Please choose one
Coefficient of
variation shows dispersion of the

Question No: 36       ( Marks: 1 )     - Please choose one
If a hypothesis
specifies the population distribution is called
► composite hypothesis
► test statistic
► alternative hypothesis
► simple hypothesis

Question No: 38       ( Marks: 1 )     - Please choose one
A regression equation
was computed to be Y = 35 + 6X,the value of 35 indicates that
► An increase in one unit of X will result in an decrease of 35 in Y
► The coefficient of correlation is 35
► The coefficient of determination is 35
► The regression line crosses the Y-axis at 35

Question No: 39       ( Marks: 1 )     - Please choose one
Chi-distribution is
used to decide whether or not certain variables are

► Dependent
► Independent
► Discrete
Vicky From VUHope@gmail.com                      033167317672                            Page 37
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► Continuous

Question No: 40    ( Marks: 1 )   - Please choose one

Time series data is analyzed by the moving average.

► True
► False
Question No: 1 ( Marks: 1 ) - Please choose one
The Basic salary of an employee is Rs 7,000. What is the contribution of the company
on account of gratuity to the Gratuity Trust Fund?
_ Rs 636.36
_ Rs 6363.6
_ Rs 63.636
_ Rs 6363
Question No: 6 ( Marks: 1 ) - Please choose one
The temperature was 30°C in the afternoon and the temperature dropped to 26°C in the
evening. Find the percentage change in the temperature.
___13.33%
___15%
___14.26%
___12%
Question No: 7 ( Marks: 1 ) - Please choose one
Observed errors, which represent information from the data which is not explained by
the model, are called?
___Marginal values
___Residuals
___Mean square errors
___Standard errors
Question No: 8 ( Marks: 1 ) - Please choose one
An insurance company wants to predict sales from the amount of money they spend on
advertising. Which would be the independent variable?
___(i) sales
___(iii) insufficient information to decide
___(iv) Both (i) and (ii) are correct.
Question No: 11 ( Marks: 1 ) - Please choose one
Which of the following graphs is a visual presentation using horizontal or vertical bars to
make comparisons or to show relationships on items of similar makeup?

Vicky From VUHope@gmail.com               033167317672                                        Page 38
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_ bar graph
_ pie graph
_ pictograph
_ line graph
Question No: 13 ( Marks: 1 ) - Please choose one
Which of the following describe the middle part of a group of numbers?
_ Measures of central tendency
_ measures of variability
_ measures of shape
_ measures of association
Question No: 14 ( Marks: 1 ) - Please choose one
In the United States, 43% of people wear a seat belt while driving. If two people are chosen at
random, what is the probability that both of them wear a seat belt?
_ 18%
_ 20%
_ 25%
_ None of these
Question No: 15 ( Marks: 1 ) - Please choose one
The midrange is not greatly affected by outliers
_ False
_ True
.
Question No: 17 ( Marks: 1 ) - Please choose one
The moving averages of the Prices 90,70,30,110 are
_ 63.33, 70
_ 73.33,80
_ 45.45, 68
_ 65.50, 75
Question No: 18 ( Marks: 1 ) - Please choose one
Sum of annuity is always
_ Present value
_ Future value
_ Net present value
_ Current value
Question No: 20 ( Marks: 1 ) - Please choose one
Solve 3x = 27 for x
_ 0.9

Vicky From VUHope@gmail.com               033167317672                                            Page 39
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_6
_ 18

_9
Question No: 22 ( Marks: 1 ) - Please choose one
The minimum number of points required to calculate the intercept of a straight line is/are
_ one
_ two
_ three
_ one or theree
Question No: 23 ( Marks: 1 ) - Please choose one
What will be the rate of 20 as a base and percentage is 25?
_ 120%
_ 125%
_ 130%
_ None of these
Question No: 24 ( Marks: 1 ) - Please choose one
The value of x after solving the following linear equation is
-2x + 6 = 4x - 2
_0
_3
_ 1/2
_ 4/3
Question No: 25 ( Marks: 1 ) - Please choose one
Order of a Matrix =
_ Number of Columns xNumber of Rows
_ Number of Rows / Number of Columns
_ Number of Rows x Number of Columns
_ None of these
Question No: 26 ( Marks: 1 ) - Please choose one
Markdown means a reduction from the
_ Original cost price
_ Original sale price
_ Original Net price
_ None of these
Question No: 27 ( Marks: 1 ) - Please choose one
If an asset is purchased at Rs 3000 on the date 6/29/2008 and the first depreication period ends on

Vicky From VUHope@gmail.com                   033167317672                                            Page 40
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11/29/2008, where salvage value is 300 and period is taken as 1 on 20% interest rate where basis =1, then
which of the following function Returns the depreciation for given accounting period
_ =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1*12, 20%, 1)
_ =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1, 20% / 12 , 1)
_ =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1, 20%, 1)
_ =AMORLINC(3000, 6/29/2008, 11/29/2008, 300, 1*12 , 20%/12, 1)
_ None of these
Question No: 28 ( Marks: 1 ) - Please choose one
Which of the following is the system of linear equations?
_4x+6y=9
_ 3 x2 + 5 y2 = 7 , x + y = 8
_ 5 x + 7 y = 12, 2 x + 8 y = 10
_ 2 x 2– 5 x + 7 = 0
Question No: 29 ( Marks: 1 ) - Please choose one
To find average of numbers given in figure ,one can apply the excel formula
_ =AVERAGE(E12:E13)
_ =AVERAGE(E5:E12)
_ =SUMIF(E5:E12)
_ =DSUM(E5:E12)
Question No: 30 ( Marks: 1 ) - Please choose one
An arrangement of all or some of a set of objects in a ….. order is called permutation.
_ Definite
_ Indefinite
_ Same
_ Different
Question No: 31 ( Marks: 1 ) - Please choose one
6!.......
_ 720
_ 620
_ 420
_ 520
.
Question No: 36 ( Marks: 1 ) - Please choose one
If a hypothesis specifies the population distribution is called
_ composite hypothesis
_ test statistic

Vicky From VUHope@gmail.com                  033167317672                                                   Page 41
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_ alternative hypothesis
_ simple hypothesis
Question No: 37 ( Marks: 1 ) - Please choose one
Which distribution is most commonly used to model the number of random occurrences
of some phenomenon in a specified unit of space or time?
_ Normal Distribution
_ Binomial Distribution
_ Poisson Distribution
_ Negative Binomial Distribution
Question No: 39 ( Marks: 1 ) - Please choose one
Chi-distribution is used to decide whether or not certain variables are
_ Dependent
_ Independent
_ Discrete
_ Continuous
If actual value is 180 and trend is 150, the seasonal variation is
30
40
-30
-45
Question # 4 of 10 ( Start time: 02:56:48 PM )       Total Marks: 1
The method of least squares finds the best fit line that _______ the error between observed &
estimated points on the line.
Select correct option:
a) maximises
b) minimizes
c) reduces to zero
d) choice # b & c
If actual value is 180 and trend is 150, the seasonal variation is
Select correct option:
30
40
-30
-45
The probability of drawing any one spade card is
Select correct option:
1/32
1/13
4/13
1/4

Question # 4 of 10 ( Start time: 02:56:48 PM )                             Total Marks: 1

Vicky From VUHope@gmail.com                                 033167317672                    Page 42
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The method of least squares finds the best fit line that _______ the error between observed &
estimated points on the line.
Select correct option:
a) maximises
b) minimizes
c) reduces to zero
d) choice # b & c
For a data, if mean > median then its distribution is
Select correct option:
asymmetrical
symmetrical
left asymmetrical
right asymmetrical
If the data collected from a factory in three shifts; morning, afternoon and evening for four
days. Then average of one day is known as
Select correct option:
Moving Average
Weighted average
both
None
The Marks of mathematics on weekly basis for three months Period Marks Moving Averages
Month 1 Week 1 70 Week 2 60 ? Week 3 65 ? Month 2 Week 1 80 ? Week 2 82 ? Week 3 85 ?
Month 3 Week 1 60 ? Week 2 75 ? Week 3 80 The Moving Averages will be ------------
Select correct option:
65 68.3 75.7 82.3 75.7 73.3 71.7
65 70 75.7 82.3 71 72 71.7
65 71 73 82.3 75.7 73.3 71.7
65 68.3 70 72 73 73.3 71.7
The slope of the regression line may be
Positive
Negative
Zero
All of these
Suppose we developed the following least squares regression equation: Y = 3.5 + 2.1X. Which
of the following statements is correct?
The dependent variable increases 2.1 for an increase of 1 in X
The equation crosses the Y-axis at 3.
If X = 5, then Y =15.
X and Y are inversely proportional
Question # 9 of 10 ( Start time: 02:58:27 PM )        Total Marks: 1
Suppose we developed the following least squares regression equation: Y = 3.5 + 2.1X. Which
of the following statements is correct?
Select correct option:
The dependent variable increases 2.1 for an increase of 1 in X
The equation crosses the Y-axis at 3.
If X = 5, then Y =15.
X and Y are inversely proportional
Question # 10 of 10 ( Start time: 02:59:05 PM )       Total Marks: 1

Vicky From VUHope@gmail.com        033167317672                                       Page 43
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The equation of regression line is y + 5x = 0. What will be the intercept?
Select correct option:
5
1
0
-5
-45
The slope of the regression line may be
Select correct option:
Positive
Negative
Zero
All of these
Probability of occurrence of an event A = -------- (Where X=Number of outcomes favorable to
event A and n=total number of outcomes)
Select correct option:
nX
n/X
X/n
None of these
A pair of fair die is rolled. What will be the probability of “Sum of dots on upper sides is odd
number?
Select correct option:
18/36
15/36
10/36
None of these
New forecast is(constant of exponential smothing is 'c')
Select correct option:
Old forecast * proportion of error c
Old forecast + proportion of error c
Old forecast - proportion of error c
None of these
For the lest squares regression line y = 0.9 + 1.7x, slope and intercept are
Select correct option:
0 and 1
0.9 and 1.7
1.7 and 0.9
2.6 and 0

The amount added to a cost to arrive at a selling price is ………
Markup
margin
both markup & margin
percent on cost
At break even point, the company has a positive cash flow that is …………… after meeting
expensesSelect correct option:
Surplus cash

Vicky From VUHope@gmail.com          033167317672                                          Page 44
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Slake cash
Net cash
None of these
f the cost of a certain goods item is Rs. 2400 and its selling price is Rs. 4500 then the markup rate
iselect correct option:
(4500-2400)/2400
(4500-2400)4500 *100
(4500-2400)/2400*100
(4500-2400)/4500
Total marks of Saleem in two subjects are 160. If the ratio of marks in the two subjects is 3 : 5, what
will be the marks in two subjects? Select correct option:
50, 110
60, 100
70, 90
80, 80
A chartered bank is lowering the interest rate on its loans from 9% to 7% what will be the percent
decrease in the interest rate on a given loan. elect correct option:
28.6%
27.2%
22.2%
None of these
An identity matrix is a ___________ matrix with 1‟s on the main diagonal from upper left to lower right
and 0‟s off the main diagonal. Select correct option:
square
rectangular
column
none of these
Discount = ------elect correct option: http://vustudents.ning.com/
Net cost price – List price
List price – Net cost price
List price * Net cost price
List price + Net cost price
he salary of an employee is as follows: Basic salary = 10, 0000 Rs. Allowances = 50,000 Rs. Find the
% allowances? Select correct option:
10%

Vicky From VUHope@gmail.com             033167317672                                             Page 45
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50%
30%
None of these
Harry made \$16,000 last year at his job. He paid 11% in income tax. How much was his tax? Select
correct option:
176
16011
1760
4500
If P=Principal, R=rate percent per annum, T=time in years and I=simple interest thenSelect correct
option:
I= PRT/100
I=PR/T
I=PT/R
None of these
Convert 60% Markup (MU) on Cost to % Markup on SaleSelect correct option:
27.5%
37.5%
47.5%
57.5%
An expression 2x is calledSelect correct option:
Monomial
Binomial
Trinomial
Polynomial
List price of an item is Rs.400 but if 50% discount is offered on it then its net price isSelect correct
option:
Rs.100
Rs.200
Rs.400
Rs.300
If the cost of tea bags increases from Rs 85.75 to Rs 90.50. What is the percentage increase? Select
correct option:
5.54
6.65

Vicky From VUHope@gmail.com              033167317672                                               Page 46
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7.50
8.25
Solution of linear equation; 0x+8 = 5Select correct option:
Can never be determined
-3
0
-13
The amount added to a cost price while calculating a selling price is calledSelect correct option:
actual price
markup
margin
markdown
f basic salary of an employee is 18,000 Rs. What is the total saving of the employee per month on
account of provident fund? Select correct option:
3272.73
3272.23
3273.63
3271.45
If x + 2 : 2 = x : 3, then x =?Select correct option:
2
-3
5
-6
let L be the list price and d represent the percentage discount, then the Amount of discount is =
……elect correct option:
d*L
d/L
d +L
L/d

Solution of linear equation; 0x+8 = 5
Select correct option:
Can never be determined
-3
0
-13

Vicky From VUHope@gmail.com               033167317672                                          Page 47
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Question # 4 of 10 ( Start time: 06:34:34 PM )        Total Marks: 1
The rate at which the calculations are made is called
Select correct option:
Discount factor
Discount Rate
Discount Value
Non

Question # 5 of 10 ( Start time: 06:36:01 PM )         Total Marks: 1
After the merchant buys merchandise, it is sold at a higher price called the-------
Select correct option:
Cost price
Revenue discount
Mark down
None of these

Question # 6 of 10 ( Start time: 06:37:29 PM )      Total Marks: 1
Dividends, payments on the installments purchases, payments on the rent, interest payments on the
bonds, mortgage payments and premium on insurances are all the examples of
http://vustudents.ning.com/
Select correct option:
Simple interest
Compound interest
Gratuities
Annuity(correct)

Question # 7 of 10 ( Start time: 06:38:31 PM )      Total Marks: 1
The algebraic expression: x2+xy-6y2 is an example of
Select correct option:
Trinomial
Binomial
Both trinomial and Polynomial(correct)
Both Binomial and Polynomial

Question # 8 of 10 ( Start time: 06:40:01 PM )     Total Marks: 1
What shall be compound intrest earned on Rs.750 invested at 12% per annum for 8 years.
Select correct option:
Rs.1857
Rs.750
Rs.1107(correct)
None of these

Question # 9 of 10 ( Start time: 06:41:32 PM )     Total Marks: 1
Any matrix in which numbers of rows and columns are equal is called …….. matrix.
Select correct option:
Identity
triangular

Vicky From VUHope@gmail.com             033167317672                                       Page 48
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Diagonal
Square

Question # 10 of 10 ( Start time: 06:41:58 PM )           Total Marks: 1
The formula FV (ordinary Annuity) = C * [(1 + i)n – 1/i] is used to find the value of
Select correct option:
Future value of the annuity(correct)
Accumulation factor
Amount of annuity
Non of above

Q: Convert 50% Markup on Sale to % Markup on Cost.

50%
100%
150%
200%

Q:The Earning per share is the total profits of a company divided by the

annual dividend
number of shares
market value per share
earning per share

Q: The unknown value in the proportion: 2: x = 3: 9, is ….

5
6
7
8

Q: House rent, both utilities and conveyance allowances, both gratuity and provident funds are ---------
---------- of basic salary respectively.

45%, 2.5%, 9.09%
50%, 1.5%, 9.05%
55%, 2.25%, 8.09%
40%, 3.5%, 8.08%

Q:Nauman earned 8% profit on investment of 1000 Rs and in the next deal he has a lost of 8%
on the earned amount. What is his original amount now?

1000
993.6
1004
None of these

Vicky From VUHope@gmail.com             033167317672                                            Page 49
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Sent at 18:52 on Thursday

Q: If 2.5 : 7.5 = 3.7 : x, then x = ?

10.10
11.10
12.10
13.10

Q: In Excel, if we write 4 in A5 cell & 9 in B5 cell, then formula is

“=A5 + B5”
“=B5 + A5”
both (i)&(ii)(correct)
none

Q: “=A5 + B5”
“=B5 + A5”
both (i)&(ii)
none

Q: If the basic salary of an employee of a company is Rs.14000, then his/her provident fund is

Rs.2425.45
Rs.2545.45
Rs.2525.45
None of these

Q: One dozen bananas cost Rs. 15. They are sold at the markup of 12%. The selling price is -----

16.8
15.8

14.8      17.8
Identity matrix is also a ……….. matrix
Select correct option:
Square
triangular
Diagonal
Both (i)&(iii)
The unknown value in the proportion: 2: x = 3: 9, is ….
Select correct option:
5
6
7
8

6

Vicky From VUHope@gmail.com              033167317672                                            Page 50
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The trade discount is calculated by ------------------------
Select correct option:
dL
d-L
d+L
d – dL

If Ali buys pencil 3 Rs. and sell it at price 3.5 Rs. What is percent markup on selling price?
Select correct option:
14.1
14.3
14.5
None of these

Question # 5 of 10 ( Start time: 07:05:51 PM )     Total Marks: 1
In the word BALLOONS, the ratio of vowels to consonants is
Select correct option:

3/5
3/8
5/3
8/5

After the new admission to the school, there is an increase of 30 percent of students. If the total
number of students is now 1200, what were total students before admission?
823
923
1023
1123

A matrix is a _________ array of numbers.
Select correct option:
square
triangular
rectangular
none of these
The value of the unknown x in the proportion 2:x=3:9 is given by
Select correct option:
6
3
1/3
2
A businessman pays an amount of Rs. 3000 to purchase for certain item and sells it at Rs. 3750.
Then Mark up rate of the businessman is?

32%
31%

Vicky From VUHope@gmail.com                033167317672                                          Page 51
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30%
25%

If P=principal,R=rate of intrest per annum, T=time in years and I=simple intrest then I=
Select correct option:
P.R/T
PR/T*100
PRT/100
None of these

If the basic salary of an employee is Rs.14,000 then the utility allowances are ………
Select correct option:
Rs.1400
Rs.700
Rs.350
None of these

Question # 2 of 10 ( Start time: 07:14:13 PM )         Total Marks: 1
If the basic salary of an employee is Rs.14,000 ,then his/her house rent allowance is………
Select correct option:
Rs.4500
Rs.5600
Rs.6300
None of these

Question # 3 of 10 ( Start time: 07:14:42 PM )             Total Marks: 1
For a product, if its list price is Rs.500 at the discount rate of 25% then its net cost price is
Select correct option:
Rs.375
Rs.125
Rs.625
Rs.525

Question # 4 of 10 ( Start time: 07:15:18 PM )        Total Marks: 1
The value of unknown x in the proportion 2x : 2 = (x+1) : 5 is
Select correct option:
1/4
1/2
4
5/2

Question # 5 of 10 ( Start time: 07:16:38 PM )            Total Marks: 1
The value of (25) ^ -1/2 is....
Select correct option:
0.5
0.4
0.3
0.2

Vicky From VUHope@gmail.com               033167317672                                              Page 52
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Question # 6 of 10 ( Start time: 07:17:23 PM )      Total Marks: 1
Invoice was dated December 1st. The terms 3/15 mean that 3% discount is offered if invoice is paid
up to 15th December. What is the net payment for invoice value of Rs. 35,000 if paid up to 15th
December
Select correct option:
Rs. 34950
Rs. 33950
Rs. 32950
Rs. 31950

Question # 7 of 10 ( Start time: 07:18:53 PM )       Total Marks: 1
For Rs. 1630 you can purchase a 7-year ordinary annuity that will pay you a yearly payment of Rs.
430 for 7 years. The compound annual interest rate implied by this arrangement is closest to
Select correct option:
8%
10%
9%
11%

Question # 8 of 10 ( Start time: 07:20:23 PM )           Total Marks: 1
If the order of a matrix A is 3X3,what shall be order of its inverse?
Select correct option:
2X2
3X3
2X3
none of these

Question # 9 of 10 ( Start time: 07:20:56 PM )        Total Marks: 1
The salary of an employee is as follows: Basic salary = 20,000 Rs. Allowances = 5,000 Rs. What is
the cost on account of casual leaves per year if normal working days per month is 22?
Select correct option:
6818.1Rs.
20454.5Rs.
13636.4Rs.
34090.9Rs.
The rate at which the calculations are made is called
Select correct option:
Discount factor
Discount Rate
Discount Value
Non

1-The unknown value in the proportion: 2: x = 3: 9, is ….
Select correct option:
5
6
7
8

Vicky From VUHope@gmail.com             033167317672                                        Page 53
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2-In 3 years you are to receive Rs. 8,000. If the interest rate were to suddenly increase, the present
value of that future amount to you would
Select correct option:
fall
rise
remain unchanged.

3-15% of the price of a shirt is increased. If the change in the price of the shirt is Rs 25, what is the
original price?
Select correct option:
Rs 150.5
Rs 166.7
Rs 175.5
Rs 180.5

4-Tanveer‟s flower business sells floral arrangements for Rs.35.To make his desired profit; Tanveer
needs a 40% markup on selling price. What do floral arrangements cost Tanveer?
Select correct option:
Rs.21
Rs.30
Rs.25
None of these

5-How many basic mathematical operations are used?
Select correct option:
2
3
4
5

6-Harry made \$16,000 last year at his job. He paid 11% in income tax. How much was his tax?
Select correct option:
176
16011
1760
4500

7-If I is the identity matrix of dimension 10 then how many rows and columns a matrix A may have
provided that IA = A
Select correct option:
10 number of rows & arbitrary number of columns
arbitrary no. of rows & columns
Strictly „10‟ no of rows & „10‟ no of columns
10‟ no. of columns & arbitrary no. of rows

8-A Range which starts from A1 and ends at D15 is referenced by...
Select correct option:

Vicky From VUHope@gmail.com              033167317672                                               Page 54
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A1:D15
D15:A1
both (i)&(ii)
none

9-What is the formula for money accrued after n years.
Select correct option:
S= P(1+r*100)^n
S=P(1+r/100)^n
S= P( 1+100/r)^n
None of these

10-Returns the interest payment for an investment for a given period?
Select correct option:
ISPMT
NPER
IPMT
None of these.

If A, B and C are matrices with orders 3×3, 2×3 and 4×2 respectively, then which of the following set
of operations are possible?

4B, A + B, B+C, AB, CB, CBA

4B, CB, CBA

A + B, B+C, CB, CBA

4B, CB, CBA

If 5x/2 = 9y/2 then, the ratio x: y = ……

9:4

9:5

9:2

9:6

The determinant of a matrix always exist

For square matrices only

For rectangular matrices only

For horizontal arrays only

Vicky From VUHope@gmail.com                033167317672                                        Page 55
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For vertical arrays only 1

Sum of annuity is always

Select correct option:

Present value

Current value

Net present value

None of these (correct)

The difference between revenue and cost is called the

Select correct option:

Net present value

Net income

Net Cash flow

None of these

Order of a matrix =_________________.

Select correct option:

http://vustudents.ning.com/

number of rows X number of columns

number of columns X number of rows

number of rows – number of columns

none of these

Question # 7 of 10 ( Start time: 05:15:37 PM ) Total Marks: 1

In a Proportion, a : b : : c: d , The product of ……….

Select correct option:

Means and extremes must be equal

Vicky From VUHope@gmail.com            033167317672             Page 56
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Means must be greater than extremes

Extremes must be greater than mean

None of these

In order to stimulate the demand, the deduction in original sale price of an item is called

Select correct option:

discount

markup

retail price

markdown

Percent is an Excel operator.

Select correct option:

True(correct)                False

Question no 1. The contribution margin per unit is an item's selling price minus the item‟s..........

   Fixed costs
   Variable costs
   Both variable costs & fixed costs.
   Net sales.

Question no 2. Contribution Margin is the amount that can be calculated by deducting Variable Cost
from

   Contribution rate
   Net sale
   Net income
   None of these.

Question no.3 ………………is the value at the end of depreciation.

   Salvage
   Asset
   Cost

Vicky From VUHope@gmail.com             033167317672                                               Page 57
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None of these.

Question no.4 Difference between IRR and XIRR is that -------------------------------

   IRR needs regular interval, but XIRR does not need regular intervals
   XIRR does not calculate Internal Rate of Return, as IRR does.
   The schedule cash flows are needed for IRR only.
   None of these

Question no.5     ……… is the number of periods over which the asset is depreciated.

   Life
   Asset
   Interval
   none of these



Question no.6 If Variable Cost is Rs.120 and contribution margin is Rs 30, then sale will be ------------
------------

   120
   130
   140

150

Question no.7 Which of the following function returns the depreciation of an asset for a specified
period.

   DDB
   DB
   IRR
   MIRR

Question no.8 SLN is for depreciation of

   Asset
   Profit
   Loss
   Capital

Vicky From VUHope@gmail.com             033167317672                                             Page 58
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Question no. 9 Contribution margin in Rs. Is equal to

   =(CM/FC)
   =(FC/CM)*S
   =(S-FC)*CM
   = (CM-S)*FC.

The regression equation should only used
Select correct option:
When there is significant linear correlation
When there is significant mluticorrelation
When there is significant quadratic correlation
When there is significant simple correlation
In the central tendency Mean, Median and Mode
Select correct option:
Mean is better than Median
Median is better than Mode(correct)
Mean is better than Mode
All of these are true
The degree to which numerical data tend to spread about an average is called
Select correct option:
The dispersion
Standard deviation(correct)
Correlation
None of these
…………..graphs are similar to bar graphs.
Select correct option:
column
line
conversion
sector

A pattern of variation of a time series that repeats every year is called:
Select correct option:
Cyclical
Seasonal
Trend
Secular

If the values of variables are increasing or decreasing in the same direction then such kind of
correlation is referred as
Select correct option:
Zero Correlation
Perfect Correlation
Positive Correlation

Vicky From VUHope@gmail.com              033167317672                                             Page 59
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Negative Correlation
The moving averages of the Prices 55,60,65,70 are
Select correct option:
70, 75
60, 65
65,65
70,60
The best measure of variation is
Select correct option:
Range
Quartile deviation
Variance
Coefficient of variance
In the scatter diagram, clustering of points around a straight line indicates
Select correct option:
linear regression
non-linear regression
curvilinear regression
none of these
Ms. Christian calculated a correlation coefficient of .75. Which of the following reflects the best
interpretation of this?
Select correct option:
Weak negative.
Strong negative.
Weak positive.
Strong positive.
5-On the basis of data, we wish to estimate the value of variable Y corresponding to a given value of variable X. It can be
accomplished by estimating the value of Y from a type of curve that fits the sample data. This type of curve is called
Least square curve
Ogive curve
Scatter curve
Regression curve

7-Which of the following is true?
Select correct option: http://vustudents.ning.com/

Arithmetic Mean is based on all and Mode is on the middle values.
Median based on most frequent value and mode on middle value.
Arithmetic Mean is based on all and median on the middle value.
None of these.

10- The slope of the regression line may be
Select correct option:

Positive
Negative
Zero
All of these
if the equation of regression line is y = 5, then what result will you take out from it?

Vicky From VUHope@gmail.com                      033167317672                                                     Page 60
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Select correct option:
The line passes through origin.
The line passes through (5, 0)
The line is parallel to y-axis.
The line is parallel to x-axis.

If the estimating equation is Y = a – b X ,Which of the following is true
Select correct option:
a)The y intercept is‟b‟
b) Slope of line is negative
c) There is inverse relationship
d) b & c

If the regression line: Y= 3+5X meets y-axis at „8‟ units distance from origin then the value of x-intercept is
Select correct option:
-(3/5)
3/5
11/5
1
because 8=3+5x -> 5=5x- > x=1

if the equation of regression line is y = 5, then what result will you take out from it?
Select correct option:
The line passes through origin.
The line passes through (5, 0)
The line is parallel to y-axis.
The line is parallel to x-axis.

Which of the following reveals the weakest fact.
Select correct option:
a) The measure of central tendency measures that value which depends only on the extreme values (I Think)
b) The measure of central tendency measures that value in tha data which occurs in the data most frequent times.
c) The measure of central tendency measures the value which has tendency to lie in the central part of the data.
The measure of central tendency measures the distance of values from means
Frequency polygon is …………
Select correct option:
Bar Charts
A line graph
Pareto Chats
None of these
If the estimating equation is Y = a – b X ,Which of the following is true
Select correct option:
a)The y intercept is‟b‟
b) Slope of line is negative
c) There is inverse relationship
d) b & c
Geographical data deals with…
Select correct option:
Religion
Height
Income
Regions
If the regression line: Y= 3+5X meets y-axis at „8‟ units distance from origin then the value of x-intercept is
Select correct option:
-(3/5)
3/5

Vicky From VUHope@gmail.com                       033167317672                                                    Page 61
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11/5
1
A data in which we study about Regions is called ……
Select correct option:
Qualitative
Quantitative
Geographical
Chronological
If the median of an arrangement of numbers is equal to the mean of its middle terms then the arrangement contains
Select correct option:
Odd number of terms
Even number of terms
Unlimited number of terms
Prime number
Question No. 1:
Class width of the given data is defined as ratio of
Select correct option:
1: Range and number of values in the given data
2: Range and the number of classes
3: Range and mid point/value
4: None of these
Question No. 3:
For the regression line:Y= a+bX,'a' is the
Select correct option:
1: Slope of the regression line
2: y-intercept
3: x-intercept
4: none of these
Question No. 4:
Different ways of organizing univariate categorical data are
Select correct option:
1: The Summary Table
2: Bar and Pie Charts, the Pareto Diagram
3: Contingency Tables
4: Only option 1 & 2
Question No. 5:
The rate of change along the regression line is called
Select correct option:
1: Linear regression*
2: Non Linear regression
3: Slope
4: Curve
Question No. 9:
The coefficient of variation for a set of annual incomes is 18%; the coefficient of variation for the length of service with the
company is 29%. What does this indicate?
Select correct option:
1: More dispersion in the distribution of the incomes compared with the dispersion of their length of service
2: More dispersion in the lengths of service compared with income *
3: Dispersion in the two distributions (income and service) cannot be compared using percents
4: Dispersions are equal
Question No. 11:
FREQUENCY Function calculates how often values occur within a range of values.
Select correct option:
1: True
2: False
Question No. 14:
If the value of r is 0.8 ,then the coefficient of determination is
Select correct option:

Vicky From VUHope@gmail.com                      033167317672                                                          Page 62
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1: 67%
2: 64%
3: 80%
4: 75%
Question No. 15:
If the dependent variable increases with the independent variable then the coefficient of correlation is
Select correct option:
1: 0 to -1
2: 0 to – 0.5
3: 0 to -2
4: 0 to 1
Question No. 19:
Trimmed mean is the mean of ....
Select correct option:
1: The remaining data
2: The middle data
3: The data from last
4: None of these
NOTE: * stands for Doubtful Answers

Question No. 2:
Geographical data deals with…
Select correct option:
1: Religion
2: Height
3: Income
4: Regions
Question No. 4:
A data in which we study about Regions is called ……
Select correct option:
1: Qualitative
2: Quantitative
3: Geographical
4: Chronological

Question No. 5:
If the median of an arrangement of numbers is equal to the mean of its
middle terms then the arrangement contains
Select correct option:

1: Odd number of terms
2: Even number of terms
3: Unlimited number of terms
4: Prime number

NOTE: * Stands for doubtful Answers.
Question No. 1:
If the equation of regression line is y = 5, then what result will you take out from it?
Select correct option:
1:The line passes through origin.
2: The line passes through (5, 0)*
3: The line is parallel to y-axis.
4: The line is parallel to x-axis.
Question No. 6:

Vicky From VUHope@gmail.com                       033167317672                                             Page 63
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If the estimating equation is Y = a – b X ,Which of the following is true
Select correct option:
1: The y intercept is‟b‟
2: Slope of line is negative
3: There is inverse relationship
d) b & c *
Question No. 7:
Geographical data deals with…
Select correct option:
1: Religion
2: Height
3: Income
4: Regions
Question No. 1:
If the median of an arrangement of numbers is equal to the mean of its middle terms then the arrangement contains
Select correct option:
1: Odd number of terms
2: Even number of terms
3: Unlimited number of terms
4: Prime number
Question # 4 of 10 ( Start time: 06:37:37 PM ) Total Marks: 1
Analysis of Variance (ANOVA) is a test for equality of: Select correct option:
variances
means
proportions
only two parameters
Question # 5 of 10 ( Start time: 06:38:04 PM ) Total Marks: 1
For some data you are given Maximum value = 96 , Minimum Value = 23 , Range = 73, number of classes selected
between 5 and 15 Then class width will be Select correct option:
15
8
5
All options 1,2 ,3 are possible
Question # 6 of 10 ( Start time: 06:39:08 PM ) Total Marks: 1
If strength of the association between X and Y is very weak, then r = ? Select correct option:
r=-1
r = 0*
r=1
r=2
Question # 8 of 10 ( Start time: 06:40:45 PM ) Total Marks: 1
Let, Variation (Y) = n*Sum(y^2) – [Sum ]^2 Variation (X) = n*Sum(x^2) – [Sum(x)]^2 Then, the following formula of slope b
= {Sum(X*Y) – [ Sum(x)*Sum ] }/ Variation (Y) Select correct option:
a)for the regression line Y on X
b)for the regression line X on Y
c)Both (a) and (b)
d)None of these
Question # 9 of 10 ( Start time: 06:41:19 PM ) Total Marks: 1
Class width of the given data is defined as ratio of Select correct option:
Range and number of values in the given data
Range and the number of classes
Range and mid point/value
None of these
Question # 10 of 10 ( Start time: 06:41:55 PM ) Total Marks: 1
A simple linear regression model is an equation that describes the straight-line relationship between a dependent variable
and an independent variable. Select correct option:
True
False

Vicky From VUHope@gmail.com                   033167317672                                                       Page 64
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The regression equation should only used
Select correct option:
When there is significant linear correlation
When there is significant mluticorrelation
When there is significant quadratic correlation
When there is significant simple correlation
In the central tendency Mean, Median and Mode
Select correct option:
Mean is better than Median
Median is better than Mode
Mean is better than Mode
All of these are true
In the scatter diagram, clustering of points around a straight line indicates
Select correct option:
linear regression
non-linear regression
curvilinear regression
none of these
Ms. Christian calculated a correlation coefficient of .75. Which of the following reflects the best interpretation of this?
Select correct option:
Weak negative.
Strong negative.
Weak positive.
Strong positive.

Which of the following is the better average?
Select correct option:

arithmetic mean

geometric mean

harmonic mean

all above

FREQUENCY Function calculates how often values occur within a range of values.
Select correct option:

True

False

Which of the following correlation coefficients represents the weakest correlation between two variables?

The frequency of the required class can be obtained from the cumulative frequency

Vicky From VUHope@gmail.com                      033167317672                                                           Page 65
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Select correct option:

by subtracting the cumulative frequency of the relative class from the next cumulative frequency

by subtracting the cumulative frequency of the relative class from the total frequency

by subtracting the cumulative frequency of the relative class from the previous cumulative frequency

None of these

If the value of r is 0.8 ,then the coefficient of determination is
Select correct option:

67%

64%

80%

75%

In negatively skewed distribution the true relation is
Select correct option:

A.M < MEDIAN < MODE

A.M > MEDIAN > MODE

A.M = MEDIAN = MODE

None of these

The coefficient of variation for a set of annual incomes is 18%; the coefficient of variation for the length of service with the
company is 29%. What does this indicate?
Select correct option:

More dispersion in the distribution of the incomes compared with the dispersion of their length of service

More dispersion in the lengths of service compared with income

Vicky From VUHope@gmail.com                        033167317672                                                        Page 66
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Dispersion in the two distributions (income and service) cannot be compared using percents

Dispersions are equal

Trimmed mean is the mean of ....
Select correct option:

The remaining data

The middle data

The data from last

None of these

s
Question No: 21 ( Marks: 2 )
Define the Null Hypothesis.
ANS: Null hypothesis is a scenario which explain a given set of data. It is tested to
determine whether data provides sufficient reasons to pursue some alternative hypothesis.
It is a hypothesis that states there is no difference between 2 or more sets of data.
Question No: 22 ( Marks: 2 )
A coin can be tossed in 3 ways. A die can be thrown in 6 ways. A coin and a die together
can be thrown in …3 X 6 = 18……….ways.
Question No: 23 ( Marks: 2 )
Find harmonic mean (HM) of 10,12,14,17.
ANS: Harmonic mean,HM = n/(1/x1 + 1/x2 + 1/x3 + 1/x4 +…… +1/xn)
N= 4
X1 = 10
X2 = 12
X3 = 14
X4 = 17
1/x1 + 1/x2 + 1/x3 + 1/x4 = 1/10 + 1/12+ 1/14+ 1/17 = 0.2385
Harmonic mean = 4/0.2385= 16.77
Question No: 24 ( Marks: 3 )
Find proportion of bags which have weight in excess of 505 g.
Mean = 500.
StDev = 2.5 g
(For z=2.00 probability is 0.4772)
Question No: 25 ( Marks: 3 )
Given for a frequency distribution mode = 18, mean = 21.Calculate median
. Using these values comment on skewness of distribution.
ANS: We know that,
Mean-mode= 3(mean- median)
Median= (2*mean+mode)/3
Since,
Mean= 21
Mode= 18

Vicky From VUHope@gmail.com                  033167317672                                    Page 67
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So,
Median = (2*21+18)/3
= (42+18)/3 = 60/3 = 10
The distribution is Moderately skewed and unimodal distribution.
Question No: 26 ( Marks: 3 )
How many different ways can you select 2 letters from the set of letters: X, Y, and Z?
(Hint: In this problem, order is NOT important; i.e., XY is considered the same selection
as YX.)
ANS: Total number of letters = 3
Letters taken at a time = 2
Number of ways in which 2 letters can be selected out of 3 = 3C2 = 3! / 2!(3-2)!
=3*2*1/ 2
=3
Question No: 27 ( Marks: 5 )
How many possible permutations can be formed from the word MATHEMATICS?
ANS: Total number of alphabets in mathematics = 11
M=2
A=2
T=2
H=1
E=1
I=1
C=1
S=1
Permutations = 11! / 2! * 2! * 2! *1! * 1! * 1* 1! * 1!
= 11! / 8 = 4,989,600
Question No: 28 ( Marks: 5 )
Find the standard deviation of 4, 9, 11, 12, 17, 5, 8, 12, 14
ANS: Standard deviation for sample = sqrt[sum(X- X )2/n-1)
X = mean = (4+9+11+12+17+5+8+12+14)/9 = 92/9 = 10.22
n= 9
so , n-1 =9-1 = 8
X X- X (X- X )2
4 -6.22 38.69
9 -1.22 1.49
11 0.78 0.61
12 1.78 3.17
17 6.78 45.97
5 -5.22 27.25
8 -2.22 4.93
12 1.78 3.17
14 3.78 14.29

Standard deviation =
8
57 . 139
= 4.18
Question No: 29 ( Marks: 5 )

Vicky From VUHope@gmail.com         033167317672                                            Page 68
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In a normal distribution
30, 5
what proportion of cases will fall between 20 and
35?
Question No: 30 ( Marks: 10 )
Form a regression line from the data below.
Departments X Y
1 26 81
2 42 95
3 16 53
l4 55 43
5 92 18
6 28 63
7 13 60
ANS: Slope ,b = [n*sum(X*Y) – sumX*sumY]/ [n*sumX2- (sumX)2]
intercept, a = (sumY – b*sumX)/n
n= 7
Departments X Y X2 X*Y
1 26 81 676 2106
2 42 95 1764 3990
3 16 53 256 848
4 55 43 3025 2365
5 92 18 8464 1656
6 28 63 784 1764
7 13 60 169 780
sumX =272
sumY= 413
sumX2 = 15138
sumX*Y = 13509
slope, b = [7(13509)-272*413]/[7(15138)-(272)2]
= -17,773/31,982 = -0.55
intercept, a = [413-(-0.55)272]/ 7 = 80.37
equation of regression line is given by,
Y = a+ bx
Y = 80.37 -0.55x
Question No: 31 ( Marks: 10 )
The following data gives the height (in inches) of eleven 9-years old boys in a primary
school.
57, 52, 51, 49, 55, 54, 50, 48, 53, 56, 47
a) Find first, second and third quartiles.
b) Find interquartile range, Quartile deviation.
ANS:a) Data in arranged order: 47,48,49,50,51,52,53,54,55,56,57
number of data points, n = 11
position of Qi = i(n+1)/4
Position of Q1= (n+1)/4 = (11+1)/4 = 12/4= 3
So, Q1= 3rd value
= 49
Position of Q2= 2(11+1)/4 = 24/4 = 6

Vicky From VUHope@gmail.com         033167317672                                          Page 69
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So, Q2= 6th value
= 52
Position of Q3= 3(11+1)/4 = 36/4 =9
So, Q3= 9th value
55
b) Interquartile range = Q3-Q1
= 55-49 = 6
Quartile deviation = (Q3-Q1)/2
= (55-49)/2
= 6/2 = 3

A student is chosen at random from a class of 16 girls
and 14 boys. What is the probability that the student
chosen is not a girl?
Question No: 42 ( Marks: 2 )
For the marks obtained by 9 students ,given Q1 = 56 marks ,Q2= 65 marks ,
Q3= 74 marks .Find Q.D .
Question No: 43 ( Marks: 2 )
Describe the difference between Poisson distribution and Cumulative Poisson
Distribution.
Question No: 44 ( Marks: 3 )
Eleven subjects carried out the same task using a pocket calculator. The times (in
seconds) taken were: 69, 75, 83, 58, 95, 72, 86, 88, 77, 79, 90. Find the range & median .
Question No: 45 ( Marks: 3 )
Find the trends in the data below:
Question No: 46 ( Marks: 3 )
A random sample of size n is drawn from normal population with mean 6 and S.D
1.2; if z = 4,
x 
8 what is n?
Question No: 47 ( Marks: 5 )
Use the given data to find the equation of the regression line. Round the final values to
three significant digits, if necessary.
xy
1 143
3 116
5 100
7 98

Vicky From VUHope@gmail.com             033167317672                                         Page 70
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9 90
Question No: 48 ( Marks: 5 )
Find the probability that a man flipping a coin gets the sixth head on the tenth flip.
Calculate the mean, median and mode for the following set of data
1,2,8,5,4,9,3,4,5,8,6,2,4,5,8,8000.
Question No: 50 ( Marks: 10 )
A family has 3 boys and 2 girls.
a) Find the number of ways they can sit in a row
b) How many ways are there if the boys and girls are each to sit together?

Composed
The answer of BINIMDIST is #NUM. Give the reason of this error message.
Question No: 22 ( Marks: 2 )
If Y = a + 2 X, find the value of a when Y = 7 and x = 2.
Question No: 23 ( Marks: 2 )
What is the mode of the following data?
Question No: 24 ( Marks: 3 )
Explain negative binomial distribution.
Question No: 25 ( Marks: 3 )
Construct a sample space S, if you toss a coin THREE times and observe the sequence of
heads ( H ) and tails ( T ) those appears.
Question No: 26 ( Marks: 3 )
Eleven subjects carried out the same task using a pocket calculator. The times (in
seconds) taken were: 69, 75, 83, 58, 95, 72, 86, 88, 77, 79, 90. Find the range & median .
Question No: 27 ( Marks: 5 )
The length of life for a washing machine approximately normally distributed, with a
mean of 4 years and a S.D of 1.5 years. If this type of washing machine is guaranteed
for 12 months. What percentage of the sale will require replacement?
Question No: 28 ( Marks: 5 )
If Sample space S = {1,2,3,..........,9}, event A ={2, 4, 6, 8} and event B ={1, 3, 5}
Find the probability of A or B happening.
Question No: 29 ( Marks: 5 )
Find the mean, median, mode, and range for the following list of values:
1, 2, 4, 7
Question No: 30 ( Marks: 10 )
Find the Median , Midhinge , Midrange for the following data values:
10, 13, 14, 12, 13, 19, 22,23,24
Question No: 31 ( Marks: 10 )

Vicky From VUHope@gmail.com              033167317672                                        Page 71
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