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# Aptitude Test 3

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```									                               Aptitude Test 3
Questions : 30                                                    Time : 40 minutes

1. An inlet pipe can fill a tank in 15 hours, while an outlet pipe can empty it in 25 hours. Both
the pipes work in alternate hours starting with the inlet pipe. In how many hours will the tank
be completely filled?
1. 37.5 hrs          2. 75 hrs                 3. 36hrs          4. 71 hrs

2. The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10n, on the n th day of 2007
(n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in
rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = I, 2, ..., 365). On which date in
2007 will the prices of these two varieties of tea be equal?                 (1) May 21
(2) April 11                (3) May 20              (4) April 10

3. The length, breadth and height of a room are in the ratio 3:2:1. If the
length and breadth are halved and the height is doubled, then the total
area of the four walls will
1. remain the same                        2. decrease by 13.64%
3. increase by 15%                        4.decrease by 18.75%

4. The remainder when 784 is divided by 342 is :
1. 0                       2. 1                        3. 49                    4. 341

5. Find the number of numbers from 1 to 100 that are divisible by 2 or 3 or 5.
1. 71                      2. 74                    3. 68                      4. 79

6. The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief
still got in and stole some diamonds. On the way out, the thief met each watchman, one at a
time. To each he gave ½ of the diamonds he had then, and 2 more besides. He escaped with
one diamond. How many did he steal originally?
1. 40                  2. 36                 3. 25                    4. none of these

7. Ten points are marked on a straight line and eleven points are marked on another straight
line. How many triangles can be constructed with vertices from among the above points?
1. 495              2. 550                    3. 1045         4. 2475

8. Let x, y and z be distinct integers, x and y are odd and positive,
and z is even and positive. Which one of the following statements can not
be true?
1. (x – z)2 y is even               2. (x – y)y2 is odd
3. (x – z)y is odd                  4. (x – y)2 z is even

9. A train X departs from station A at 11.00 a.m. for station B, which
is 180 km away. Another train Y departs from station B at the same time.
Train X travels at an average speed of 70 km/hr and does not stop anywhere
until it arrives at station B. Train Y travels at an average speed of 50 km\hr,
but has to stop for 15 minutes at station C, which is 60 km away from
station B en route to station A. At what distance from A would they meet?
1. 112                2. 118                  3. 120               4. None of these
10. Two distinct no's are taken from 1,2,3,4......28. Find the probability that their sum is less
than 13.
1. 5/63             2. 1/28                   3. 13/28                  4. 23/42

A gave B and C as many balls as each one of them already had. Then C gave
of balls. The total number of balls is 72.
11. How many balls did B have initially?
1) 6                      2) 12                 3) 24
4) 36

12. How many balls did C have initially?
1) 6                     2) 12                                     3) 24
4) 36

13. How many balls did A have initially?
1) 12                    2) 24                                     3) 36
4) 42

14. How many balls did A part with initially?
1) 12                    2) 24                                     3) 30
4) 32

This is a story of college gossip.
Four new affairs were happening in
the college but nobody was sure. A
gossip monger finally managed to
unearth a few facts and presented
them before us. It seems all four of
these couples had fights over some
reason or the other but patched up
soon afterwards.
The boys are: Dinesh, Bikash, Amit
and Chaitanya. The girls are:
Beena, Chhaya, Dineka and
Aasha.The reasons for fighting are:
Boy friend came late, Boy friend
did not get movie tickets, Boy did
not turn up at all for the date and
Boy friend went out with some
other girl.The boys, to patch up,
offered chocolates to the girls -
Perk, Kit-Kat, Bar One and Five
Star.
1. Neither Dinesh nor the person
who did not turn up for the date
gave his girl friend a Bar One.
2. Neither Dineka nor the girl
whose boy friend came late
received a Kit Kat. 3. Amit gave
his girl friend a Perk saying he was
sorry for being late.    4. Beena
was mad at her boy friend because
he did not get the movie tickets.
5. Chhaya’s anger melted away
after she received a Kit Kat from
her boy friend who is not Bikash.
6. Chhaya told her boy friend that
she saw Dinesh going with some
other girl.
15. Who is Amit’s girl friend?
1. Aasha           2. Beena          3. Chhaya          4. Dineka

16. What did Beena receive form her boy friend?
1. Kit Kat        2. Bar One         3. Five Star       4. Perk

17. Who is Chhaya’s boyfriend?
1. Amit           2. Chaitanya              3. Dinesh         4. Bikash
18. Why was Aasha mad at her boy friend?
1. He did not get the movie tickets      2. He came late
3. He did not turn up for the date at all      4. He went out with some other
girl

19. Chhaya’s boy friend was guilty of which of the following?
1. He did not get the movie tickets         2. He came late
3. He did not turn up for the date at all   4. He went out with some other
girl

20. Complete the following series
1, 2, 4, 13, 31, 112,..
1. 224              2. 264                      3. 168                  4. 256

Direction for questions 21 to 26 – Read the passage and answer the
questions that follow
The narrative of Dersu Uzala is divided into two major sections, set in 1902 and 1907,
that deal with separate expeditions which Areseniev conducts into the Ussuri region. In
addition, a third time frame forms a prologue to the film. Each of the temporal frames has
a different focus, and by shifting them Kurosawa is able to describe the encroachment of
settlements upon the
wilderness and the consequent erosion of Dersu’s way of life. As the film opens, that
erosion has already begun. The first image is a long shot of a huge forest, the trees piled
upon one another by the effects of the telephoto lens so that the landscape becomes an
abstraction and appears like a huge curtain of green. A title informs us that the year is
1910. This is as close into the century as Kurosawa will go. After this prologue, the
events of the film will transpire even farther back in time and will be represented as
Arseniev’s recollections.
The character of Dersu Uzala is the heart of the film, his life the example that Kurosawa
wishes to affirm. Yet the formal organisation of the film works to contain, to close, to
circumscribe that life by erecting a series of obstacles around it. The file itself is circular,
opening and closing by
Dersu’s grave, thus sealing off the character from the modern world to which Kurosawa
once so desperately wanted to speak. the multiple time frames also work to maintain a
separation between Dersu and the contemporary world. We must go back farther even
than 1910 to discover
who he was. But this narrative structure has yet another implication. It safeguards
Dersu’s example, inoculates it from contamination with history, and protects it from
contact with the industrialised, urban world. Time is organised by the narrative into a
series of barriers, which enclose Dersu in a kind of vacuum chamber, protecting him
from the social and historical
dialectics that destroyed the other Kurosawa heroes. Within the film, Dersu does die, but
the narrative structure attempts to immortalise him and his example, as Dersu passes
from history into myth.
We see all this at work in the enormously evocative prologue. The camera tilts down to
reveal felled trees littering the landscape and an abundance of construction. Roads and
houses outline the settlement that is being built; Kurosawa cuts to a medium shot of
Arseniev standing in the
midst of the clearing, looking uncomfortable and disoriented. A man passing in a wagon
asks him what he is doing, and the explorer says he is looking for a grave. The driver
replies that no one has died here, the settlement is too recent. These words enunciate
the temporal rupture that the film studies. It is the beginning of things (industrial society)
and the end of things (the
forest), the commencement of one world so young that no one has had time yet to die
and the eclipse of another, in which Dersu has died. It is his grave for which the explorer
searches. His passing symbolises the new order, the development that now surrounds
Arseniev. The explorer says he buried his friend three years ago, next to huge cedar and
fir trees, but now they are all gone. The man on the wagon replies they were probable
chopped down when the settlement was built, and he drives off. Arseniev walks to a
barren, treeless spot next to a pile of bricks. As
he moves, the camera tracks and pans to follow, revealing a line of freshly built houses
and a woman hanging her laundry to dry. A distant train whistle is heard, and the sounds
of construction in the clearing vie with the cries of birds and the rustle of wind in the
trees. Arseniev pauses, looks around for the grave that once was, and murmurs
desolately, “Dersu”. The
image now cuts farther into the past, to 1902, and the first section of the film
commences, which describes Arseniev’s meeting with Dersu and their friendship.
Kurosawa defines the world of the film initially upon a void, a missing presence. The
grave is gone, brushed aside by a world rushing into modernism, and now the hunter
exists only in Arseniev’s memories. The hallucinatory dreams and visions of
Dodeskaden are succeeded by nostalgic, melancholy ruminations. Yet by exploring
these ruminations, the film celebrates the timelessness of Dersu’s wisdom.
The first section of the film has two purposes: to describe the magnificence and inhuman
vastness of nature and to delineate the code of ethics by which Dersu lives and which
permits him to survive in these conditions. When Dersu first appears, the other soldiers
treat him with
condescension and laughter, but Arseniev watches him closely and does not share their
derisive response. Unlike them, he is capable of immediately grasping Dersu’s
extraordinary qualities. In camp, Kurosawa frames Arseniev by himself, sitting on the
other side of the fire from his soldiers. While they sleep or joke among themselves, he
writes in his diary and Kurosawa cuts
in several point-of-view shots from his perspective of trees that appear animated and
sinister as the fire light dances across their gnarled, leafless outlines. This reflective
dimension, this sensitivity to the spirituality of nature, distinguishes him from the others
and forms the basis of his receptivity to Dersu and their friendship. It makes him a fit
pupil for the hunter.

21. According to the author the section of the film following the
prologue:
(a) serves to highlight the difficulties that Dersu faces that eventually kills him.
(b) shows the difference in thinking between Arseniev and Dersu.
(c) shows the code by which Dersu lives that allows him to survive his surroundings.
(d) serves to criticise the lack of understanding of nature in the premodern era.

22 Arseniev’s search for Dersu’s grave:
(a) is part of the beginning of the film.
(b) symbolises the end of the industrial society.
(c) is misguided since the settlement is too new.
(d) symbolises the rediscovery of modernity.

23 In the film, Kurosawa hints at Arseniev’s reflective and sensitive
nature:
(a) by showing him as not being derisive towards Dersu, unlike
other soldiers.
(b) by showing him as being aloof from other soldiers.
(c) through shots of Arseniev writing his diary, framed by trees.
(d) all of the above.

24. The film celebrates Dersu’s wisdom:
(a) by exhibiting the moral vacuum of the pre-modern world.
(b) by turning him into a mythical figure.
(c) through hallucinatory dreams and visions.
(d) through Arseniev’s nostalgic, melancholy ruminations.

25. How is Kurosawa able to show the erosion of Dersu’s way of life?
(a) by documenting the ebb and flow of modernisation.
(b) by going back farther and farther in time.
(c) by using three different time frames and shifting them.
(d) through his death in a distant time.

26. According to the author, which of these statements about the film
are correct?
(a) The film makes its arguments circuitously.
(b) The film highlights the insularity of Arseniev.
(c) The film begins with the absence of its main protagonist.
(d) None of the above.

Directions for questions 27 to 30: Each of the words below, a
contextual usage is provided. Pick the word from the alternatives given that
is most inappropriate in the given context.

27. Facetious: When I suggested that war is a method of controlling
population, my father remarked that I was being facetious.
(a) Jovian         (b) Jovial           (c) Jocular           (d) Joking

28. Specious: A specious argument is not simply a false one but one
that has the ring of truth.
(a) Deceitful       (b) Fallacious     (c) Credible           (d) Deceptive

29. Parsimonious: The evidence was constructed from very
parsimonious scraps of information.
(a) Frugal        (b) Penurious       (c) Thrifty                (d) Altruistic

30. Obviate: The new mass transit system may obviate the need for
the use of personal cars:
(a) Prevent       (b) Forestall        (c) Preclude         (d) Bolster

Choose the option that shares the same relation as the original pair

31) BIRD : NEST ::
(A) dog : doghouse
(B) squirrel : tree
(C) beaver : dam
(D) cat : litter box

32) DOCTOR : HOSPITAL ::

(B) cow : farm
(C) professor : college
(D) criminal : jail

Directions for questions 33 to 37- Each question has a set of four statements. Each statement
has three segments. Choose the alternative where the third segment in the statement can be
logically deduced using both the preceding two.

33. A. MD is an actor. Some actors are pretty. MD is pretty.
B. Some men are cops. All cops are brave. Some brave people are cops.
C. All cops are brave. Some men are cops. Some men are brave.
D. All actors are pretty; MD is not an actor; MD is not pretty.
1. D only            2. C only        3. A only       4. B and C

34. A. Citizens of Yes Islands speak only the truth. Citizens of Yes Islands are young people.
Young people speak only the truth.
B. Citizens of Yes Islands speak only the truth. Some Yes Islands are in the Atlantic. Some
citizens of Yes Islands are in the Atlantic.
C. Citizens of Yes Islands speak only the truth. Some young people are citizens of Yes
Islands. Some young people speak only the truth.
D. Some people speak only the truth. Some citizens of Yes Islands speak only the truth. Some
people who speak only the truth are citizens of Yes Islands.
1. A only            2. B only        3. C only       4. D only

35. A. All mammals are viviparous. Some fish are viviparous. Some fish are mammals.
B. All birds are oviparous. Some fish are not oviparous. Some fish are birds.
C. No mammal is oviparous. Some creatures are oviparous and some are not. Some creatures
are not mammals.
D. Some creatures are mammals. Some creatures are viviparous. Some mammals are
viviparous.
1. A only            2. B only       3. C only       4. D only

36. A. Many singers are not writers. All poets are singers. Some poets are not writers.
B. Giants climb beanstalks. Some chicken do not climb beanstalks. Some chicken are not
giants.
C. All explorers live in snowdrifts. Some penguins live in snowdrifts. Some penguins are
explorers.
D. Amar is taller than Akbar. Anthony is shorter than Amar. Akbar is shorter than Anthony.
1. A only            2. B only        3. B and C       4. D only

37. A. A few farmers are rocket scientists. Some rocket scientists catch snakes. A few farmers
catch snakes.
B. Poonam is a kangaroo. Some kangaroos are made of teak. Poonam is made of teak.
C. No bulls eat grass. All matadors eat grass. No matadors are bulls.
D. Some skunks drive Cadillacs. All skunks are polar bears. Some polar bears drive
1. B only            2. A and C      3. C only       4. C and D

Directions for questions 38 to 41 – U, V, X, Y and Z collected CDs of yesteryears’ melodious
songs. They collected a total of 100 CDs. None of them have collected less than 10 CDs. No
two among them collected the same number of CDs Also,              i. U collected the same
number of CDs as V and X put together                                    ii. X collected 3
more CDs than the cube of an integer.                                               iii. The
number of CDs collected by U was the square of an integer
iv. The number of CDs collected by V was either the square or the cube of an
integer.
v. The number of CDs collected by Y and Z are in ratio 4 : 3

38. What was the number of CDs collected by U?
a. 19               b. 36                 c. 52                         d. 64

39. What was the number of CDs collected by V?
a. 16               b. 25                 c. 46                         d. 64

40. What was the difference in the number of CDs collected by X and Y?
a. 5                   b. 7                c. 9                  d. 11

41. How many of the individuals collection (s) of CDs was / were prime numbers?
a. 0                 b. 1                    c. 2                  d. 3

Directions for questions 42 to 44 - Six products, namely U, V, W, X, Y and Z are to be
placed in the display windows of a shop. There are six display windows numbered 1, 2,
3, 4, 5 and 6 from left to right in such a way that one product is showcased in one
window only. However, U cannot be placed adjacent to V, W must be immediately to the
left of X and
Z cannot be in window number 6.
Note : The directions (left or right) should be determined with respect to the observer /
shopper.
42. Which of the following products CANNOT be placed in window number 1?
a. U            b. V             c. W            d. X

43. If X is placed in window number 3, in which window can w be placed?
a. 1            b. 2          c. 4           d. 5

44. If U is placed in window number 5, which of the following products must be placed in
window number           6?
a. V            b. W          c. Y          d. X

Directions for questions 45 to 49 – A newspaper agent sells TOI, IE and Herald in equal number
to 302 people.7 get IE and Herald, 12 get TOI and IE, 9 get TOI and Herald and 3 get all three.
45. How many get exactly one paper?
1. 280        2. 327          3. 109           4. None of these

46.What percent get TOI and IE only but not Herald?
1. More than 65%      2. Less than 60%         3. 64%          4. None of these

47. Number of persons buying TOI and IE only, TOI and Herald only and IE and Herald only are
in the ratio
1. 6:4:9 2. 6:9:4 3. 4:9:6 4. None of these

48. The difference between the number reading IE and Herald only and IE only is
1. 77           2. 78           3. 83          4. None of these

49. How many read TOI alone?
1. 109        2. 91          3. 89             4. None of these

50. Complete the following series
1, 3, 6, 11, 18, 29, ?
1. 39             2. 40         3. 41          4. 42

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