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This quiz consists of actual questions from various CAT
papers from the last few years. Leave your answers/ responses in the comments
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Questions 1 to 5: Each of the following questions is
followed by two statements. Choose option
(a), if the question can be answered with the help of
statement I alone,
(b), if the question can be answered with the help of
statement II alone,
(c), if both statements I and II are needed to answer
the question, and
(d), if the question cannot be answered even with the help of
both the statements.
1. If R is an integer between 1 & 9, P – R = 2370,
what is the value of R?
I. P is divisible by 4.
II. P is
divisible by 9.
2. A man distributed 43 chocolates to his children.
How many of his children are more than five years old?
I. A child older than five years gets 5 chocolates.
II. A child 5 years or younger in age gets 6 chocolates.
3. The unit price of product P1 is non-increasing and
that of product P2 is decreasing. Which product will be costlier 5 years hence?
I. Current unit price of P1 is twice that of P2.
II. 5 years ago, unit price of P2 was twice that of P1.
4. X is older than Y, Z is younger than W and V is
older than Y. Is Z younger than X?
I. W may not be older than V
II. W is not older than V
5. How long did Mr. X take to cover a 5000 km journey
with 10 stopovers?
I. The ith stopover lasted i^2 minutes.
II. The average speed between any two stopovers was 66 kmph.
6. The remainder when 2^(60) is divided by 5 equals
(a) 0 (b) 1 (c) 2 (d) None of these
7. In a
stockpile of products produced by three machines M1, M2 and M3, 40% and 30%
were manufactured by M1 and M2 respectively. 3% of the products of M1 are
defective, 1% of products of M2 defective, while 95% of the products of M3 III
are not defective. What is the percentage of defective products in the
stockpile?
(a) 3% (b) 5% (c) 2.5% (d) 4%
8. 116 people
participated in a singles tennis tournament of knock out format. The players
are paired up in the first round, the winners of the first round are paired up
in the second round, and so on till the final is played between two players. If,
after any round, there is an odd number of players, one player is given a bye,
i.e. he skips that round and plays the next round with the winners. Find the
total number of matches played in the tournament.
(a) 115 (b) 53 (c) 232 (d) 116
9. Gopal went
to a fruit market with certain amount of money. With this money he can buy
either 50 oranges or 40 mangoes. He retains 10% of the money for taxi fare. If
he buys 20 mangoes, then the number of oranges he can buy with the remaining
money is
(a) 25 (b) 18 (c) 20 (d) None of these
10. A, B and C
individually can finish a work in 6, 8 and 15 hours respectively. They started
the work together and after completing the work got Rs. 94.60 in all. When they
divide the money among themselves, A, B and C will respectively get (in Rs.)
(a) 44, 33, 17.60 (b)
43, 27.20, 24.40 (c) 45, 30,
19.60 (d) 42, 28, 24.60
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Answers
1(b) 2(c)
3(d) 4(d) 5(d)
6(b) 7(a) 8(a)
9(c) 10(a)