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VU HOPE vuhope@gmail.com 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 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 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 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 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? A. 1B. -1C. 0 (your answer)D. a very small negative number 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 A. r=0B. r=-0.793C. r=0.913 (your answer)D. r=0.45 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 ► (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 How many arrangements can be made of the letter BUSINESS ► 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 ► 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 (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 ► 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 Vicky From VUHope@gmail.com 033167317672 Page 10 An insurance company wants to predict sales from the amount of money they spend on advertising. Which would be the independent variable? ►(i) sales►(ii) advertising ►(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 ► =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 ► standard deviation about mean. ► standard deviation about mode. ► variance about mean. ► variance about mode. 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 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 _ standard deviation about mean._ standard deviation about mode. _ variance about mean._ variance about mode 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 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 _ 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 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 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 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 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 _ 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 _ 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 ► Perfect positive quadratic correlation ► Perfect negative quadratic 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 ► 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. Vicky From VUHope@gmail.com 033167317672 Page 22 ► 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 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 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 ► Vicky From VUHope@gmail.com 033167317672 Page 25 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 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 Question No: 32 ( Marks: 1 ) - Please choose one To add numbers 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 Vicky From VUHope@gmail.com 033167317672 Page 28 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 ► 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 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 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 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 ► 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 ► 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 ► =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 ► 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 ► standard deviation about mean. ► standard deviation about mode. ► variance about mean. ► variance about mode. 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 ► 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 ___(ii) advertising ___(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 _ 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 _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 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 _ 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 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 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 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 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 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 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 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 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 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 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 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 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. cannot be determined without more information 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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