Dear readers,

This quiz consists of actual questions from various CAT
papers from the last few years. Leave your answers/ responses in the comments
section below and soon we’ll let you know the correct answers!

1. How many 3 – digit even numbers can you form such
that if one of the digits is 5 then the following digit must be 7?

(a) 5                 (b) 405               (c) 365                   (d) 495

2. Alord got an order from a garment manufacturer for
480 Denim Shirts. He brought 12 sewing machines and appointed some expert
tailors to do the job. However, many didn’t report to duty. As a result, each
of those who did had to stitch 32 more shirts than originally planned by Alord,
with equal distribution of work. How many tailors had been appointed earlier
and how many had not reported for work?

(a) 12, 4                 (b) 10,
3                (c) 10, 4                   (d) None of these

3. Three times the first of three consecutive odd
integers is 3 more than twice the third. What is the third integer?

(a) 15                     (b) 9                        (c) 11                        (d) 5

4.  2 ^(73) – 2
^(72) – 2^(71) is the same as

(a) 2 ^(69)                (b) 2^(70)                (c) 2 ^(71)            (d) 2^(72)

5.  The number
of integers n satisfying  -n+2 > = 0  and  2n
> = 4 is

(a) 0                      (b) 1                     (c) 2                          (d) 3

6.  The sum of
two integers is 10 and the sum of their reciprocals is 5/12. Then, the larger
of these integers is

(a) 2                     (b) 4                      (c) 6                         (d) 8

Q. 7 and 8 are based on the given data:

There were a hundred schools in a town. Of these, the
number of schools having a play – ground was 30, and these schools had neither
a library nor a laboratory. The number of schools having a laboratory only was
twice the number of those having a library only. The number of schools having a
laboratory as well as a library was one fourth the number of those having a
laboratory alone. The number of schools having either a laboratory or a library
or both was 35.

7.  How many
schools had none of the three viz., laboratory, library or play – ground?

(a) 20                      (b) 5                       (c) 30                        (d) 35

8.  What was the
ratio of schools having laboratory those having library?

(a) 1 : 2               (b) 5 : 3                 (c) 2 : 1                       (d) 2 : 3

9.  Three machines,
A, B and C can be used to produce a product. Machine A will take 60 hours to
produce a million units. Machine B is twice as fast as Machine A. Machine C
will take the same amount of time to produce a million units as A and B running
together. How much time will be required to produce a million units if all the
three machines are used simultaneously?

(a) 12 hours               (b) 10
hours                     (c) 8 hours                 (d) 6 hour

10.  There are 3
clubs A, B & C in a town with 40, 50 & 60 members respectively. While
10 people are members of all 3 clubs, 70 are members in only one club. How many
belong to exactly two clubs?

(a) 20                       (b)
25                              (c) 50                             (d) 70

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Answers

1(a)    2(c)    
3(a)    4(c)     5(c)    
6(c)   7(d)    8(b)    
9(b)    10(b)