Aptitude question paper

1. 1
QA
Q1. If both 112
and 33
are factors of the number a * 43
* 62
* 1311
, what is the smallest possible
value of 'a'?
1. 121
2. 3267
3. 363
4. 33
5. 37
Q2. 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 cannot be true?
1. (x - z)2
y is even
2. (x - z) y2
is odd
3. (x - z) y is odd
4. (x - y)2
z is even
5. (x + y)3
z is even
Q3.How many divisors does 7200 have?
1. 20
2. 4
3. 54
4. 32
Q4. If a three digit number ‘abc’ has 2 factors (where a, b, c are digits), how many factors does the
6-digit number ‘abcabc’ have?
1. 16
2. 24
3. 18
4. 30
Q5. 1025
- 7 is divisible by _____
1. 2
2. 3
3. 9
4. Both (2) and (3)

2. 2
Q6. Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and
one is a heart, is:
1. 3/20
2. 29/34
3. 47/100
4. 13/102
Q7. Two squares are chosen at random on a chessboard. What is the probability that they have a
side in common?
1. 1/18
2. 64/4032
3. 63/64
4. 1/9
Q8. An anti-aircraft gun can fire four shots at a time. If the probabilities of the first, second, third
and the last shot hitting the enemy aircraft are 0.7, 0.6, 0.5 and 0.4, what is the probability that
four shots aimed at an enemy aircraft will bring the aircraft down?
1. 0.084
2. 0.916
3. 0.036
4. 0.964
Q9. When 4 dice are rolled simultaneously, what is the probability that the same number appears
on all of them?
1. 1/36
2. 1/1296
3. 1/216
4. 1/5
Q10. What is the probability of getting at least one six in a single throw of three unbiased dice?
1. 1/6
2. 125/216
3. 1/36
4. 91/216

3. 3
Q11. What is the sum of all positive integers up to 1000, which are divisible by 5 and are not
divisible by 2?
1. 10,050
2. 5050
3. 5000
4. 50,000
Q12.A piece of equipment cost a certain factory 600,000. If it depreciates in value, 15% the first
year, 13.5 % the next year, 12% the third year, and so on, what will be its value at the end of 10
years, all percentages applying to the original cost?
1. 2,00,000
2. 1,05,000
3. 4,05,000
4. 6,50,000
Q13. Given A = 265
and B = (264
+263
+262
+...+20
)
1. B is 264
larger than A
2. A and B are equal
3. B is larger than A by 1
4. A is larger than B by 1
Q14. What is the sum of the following series? -64, -66, -68 ,..... , -100
1. -1458
2. -1558
3. -1568
4. -1664
Q15.If a rubber ball consistently bounces back ⅔ of the height from which it is dropped, what
fraction of its original height will the ball bounce after being dropped and bounced four times
without being stopped?
1.
2.
3.
4.
5.

4. 4
Verbal ability
What is the aim of life? Your question is very significant, perhaps the ancient most question. Man
has asked it since the very beginning. And millions of answers have been provided but no answer has
been successful. The question still remains. . . . According to religions, the aim of life is to renounce
it, to destroy it, to torture yourself in the name of some mythological, some hypothetical God. My
answer is Life’s aim is life itself – more life, deeper life, higher life, but life always. There is nothing
higher than life. Life is all in all. It is the God and it is the temple and it is the Holy Scripture – and to
live it totally, wholeheartedly, is the only religion. There is no other aim than to live with such
totality that each moment becomes a celebration. The very idea of ‘aim’ brings the future into the
mind, because any aim, any end, any goal, needs the future. All your goals deprive you of your
present, which is the only reality you have. The future is only your imagination, and the past is just
footprints left in the sands of your memory. Neither is the past real any more, nor is the future real
yet. This moment is the only reality. And to live this moment without any inhibition, without any
repression, without any greed for the future, without any fear – without repeating the past again
and again, but being absolutely fresh in every moment, fresh and young, unhampered by memories,
unhindered by imagination – you have such purity, such innocence, that only this innocence I call
godliness. To me; God is not someone who created the world. God is someone whom you create
when you live totally, intensely – with all your heart, not holding anything back. When your life
becomes simply a moment-to moment joy, a moment-to-moment dance, when your life is nothing
but a festival of lights – every moment is so precious because once it is gone, it is gone forever. . . .
Live joyously, contented, fulfilled, and sharing your love, your silence, your peace, letting your life
become such a beautiful dance that not only you feel blessed but you can bless the whole world –
that is the only authentic path. Life is itself the criterion; everything else is non-essential. Each
individual is unique and each individual life has a beauty in its uniqueness. So unique that you cannot
make a superhighway on which everybody has to travel to find the aim of life. On the contrary,
everybody has to find his life without following the crowd, but following his own inner voice, without
moving in a mob, but following a small footpath. That too is not created by anybody else. You create
it as you walk. The world of life and consciousness is almost like the sky – birds fly but they don’t
leave any footprints. As you live deeply, sincerely, honestly, you don’t leave any footprints and
nobody has to follow you. Everybody has to follow his own still, small voice. My emphasis on
meditation is so that you can hear your still, small voice – which will give you the guidance, the sense
of direction. No scripture can give it to you. No religion, no religious founder can give it to you
because they have been giving it to humanity for thousands of years and all their efforts have failed.
They have only created retarded people, unintelligent people, because they insisted on believing.
Don’t believe in anyone, including me. The moment you believe in someone, you lose intelligence.
Belief is almost like poison to your intelligence.
Q16. What does the passage say about religion?
(a) It renounces life. (b) It supports God which is hypothetical
(c) It teaches mankind to fear death (d) It denies the essence of existence

5. 5
(e) It poisons human mind through belief.
(1) a and e
(2) b and d
(3) a and b
(4) a, b and e
Q17. The author of the passage is
(1) an agnostic (2) an atheist (3) an infidel (4) None of these
Q18. According to the author, godliness is
(1) the innocence in living each moment unhindered by imagination
(2) creating your own God when you live life totally, intensely
(3) renouncing momentary joys, not the essence of life
(4) All of these
Q19. While talking of life the author lays emphasis on :
(1) meditation
(2) finding one’s insight and following it
(3) following one’s still, small voice
(4) All of these
Q20. According to the author, what is not the authentic path?
(1) sinful life
(2) sensual pleasures
(3) treading the untrodden
(4) None of the above
Q21. That the American police can ___________ themselves with the same ease, that they are just
as merciless, just as ___________ and cunning as their European colleagues, has been proven on
more than one occasion.
(1) perjure, brutal
(2) justify, crafty
(3) explicate, unfeeling
(4) absolve, clever
(5) exonerate, Machiavellian
Q22. His mental eye beheld the ___________ women and _________ infants of his native land,
slaughtered right before the good King.

6. 6
(1) slave, naive
(2) virtuous, angelic
(3) defenceless, innocent
(4) wronged, inculpable
(5) native, their
Q23. To have an axe to grind (Meaning of this Idiom/Phrase)
1. A private end to serve 2. To fail to arouse interest
3. To have no result 4. To work for both sides
Rearrange the Para
S1: A force of exists between everybody in the universe.
P : Normally it is very small but when the one of the bodies is a planet, like earth, the force is
considerable.
Q : It has been investigated by many scientists including Galileo and Newton.
R : Everything on or near the surface of the earth is attracted by the mass of earth.
S : This gravitational force depends on the mass of the bodies involved.
S6: The greater the mass, the greater is the earth's force of attraction on it. We can call this
force of attraction gravity.
Q24.The Proper sequence should be:
1. PRQS 2. PRSQ
3. QSRP 4. QSPR
Q25.WAN: COLOUR
1. corpulent: weight 2. insipid: flavour
3. pallid: complexion 4. enigmatic: puzzle
LR/DI
Five towns—Fulton, Groton, Hudson, Ivy, and Jersey—which are covered by the same newspaper, all
have excellent soccer teams. The teams are named the Panthers, the Whippets, the Antelopes, the
Kangaroos, and the Gazelles. The sports reporter, who has just started at the newspaper, has to be
careful not to get them confused. Here is what she knows:
■ The team in Fulton has beaten the Antelopes, Panthers, and Kangaroos.
■ The Whippets have beaten the teams in Jersey, Hudson, and Fulton.
■ The Antelopes are in Groton.
■ The team in Hudson is not the Kangaroos.

7. 7
Q26. Where are the Whippets?
1. Fulton
2. Groton
3. Hudson
4. Ivy
5. Jersey
Q27. Where are the Panthers?
1. Ivy
2. Jersey
3. Fulton
4. Groton
5. Hudson
Q28. What team is in Fulton?
1. Panthers
2. Gazelles
3. Whippets
4. Kangaroos
5. Antelopes
Henri delivers flowers for a local florist. One lovely day, he left the windows open on the delivery
van and the cards all blew off the bouquets. He has to figure out who gets which flowers. He has
five bouquets, each of which has only one kind of flower: daisies, roses, carnations, iris, and
gladioli. He has five cards with names on them: a birthday card for Inez, a congratulations-on
your-promotion card for Jenny, a graduation card for Kevin, an anniversary card for Liz, and a
housewarming card for Michael. Here’s what Henri knows:
■ Roses are Jenny’s favourite flower and what her friends always send.
■ Gladioli are traditionally sent for a housewarming.
■ Kevin is allergic to daisies and iris.
■ Liz is allergic to daisies and roses.
■ Neither Liz nor Inez has moved recently.
Q29.Which flowers should be delivered to Kevin?
1. carnations
2. iris
3. gladioli
4. daisies
5. roses
Q30. Who should get the housewarming gladioli?
1. Jenny
2. Kevin
3. Liz
4. Michael
5. Inez

8. 8
Q31.Which flowers should be delivered to Liz?
1. gladioli
2. daisies
3. roses
4. carnations
5. iris
Missing Data in the table
Directions for questions 7 to 9 :
A team of 5 players Arpit, Bimal, Chatur, Dinu and Elan participated in a ‘Freaket’ tournament and
played four matches (1 to 4). The following table gives partial information about their individual
scores and the total runs scored by the team in each match.
Each column has two values missing. These are the runs scored by the two lowest scorers in that
match. None of the two missing values is more than 10% of the total runs scored in that match.
Match-1 Match-2 Match-3 Match-4
Runs scored by player
Arpit 100 53
Bimal 88 65 52
Chatur 110
Dinu 72 75 20 56
Elan 60 78
Total 270 300 240 200
Q32. What is the maximum possible percentage contribution of Arpit in the total runs scored in
the four matches?
1. 19.7% 2. 19.9%
3. 20.1% 4. 20.2%
Q33. If the absolute difference between the total runs scored by Arpit and Chatur in the four
matches is minimum possible then what is the absolute difference between total runs scored by
Bimal and Elan in the four matches?
1. 32 2. 37
3. 27 4. Cannot be determined
Q34. The players are ranked 1 to 5 on the basis of the total runs scored by them in the four
matches, with the highest scorer getting Rank 1. If it is known that no two players scored the same
number of total runs, how many players are there whose rank can be exactly determined?

9. 9
1. 0 2. 1
3. 3 4. 5
Q35. Look at this series: U32, V29, __, X23, Y20, . .
What number should fill the blank?
1. W26
2. W17
3. Z17
4. Z26