# Quantitative Aptitude and Data sufficiency Quiz for CAT

Dear readers,

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

1. Two positive integers differ by 4 and
sum of their reciprocals is 21/10. Then one of the numbers is?

a. 3               b. 1            c. 5                  d. 21

2. Three bells chime at an interval of 18
min, 24 min and 32 min. At a certain time they begin to chime together. What
length of time will elapse before they chime together again?

a. 2 hr
and 24 min           b. 4 hr and 48 min                c. 1 hr and 36 min            d. 5 hr

Direction for questions 3 to 10: Each of
these questions is followed by two statements, I and II. Mark the answer as.

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 statement I and statement II are
needed to answer the question.

d. if the question cannot be answered even
with the help of both the statements.

3. If x, y and z are real numbers, is z – x even or
odd?

I. xyz is odd.

II. xy + yz + zx is even.

4. What is the profit percentage?

I. The cost price is 80% of the selling
price.

II. The profit is Rs. 50.

5. What is the area of the triangle?

I. Two sides are 41 cm each.

II. The altitude to the third side is 9 cm long.

6. What is the price of bananas?

I. With Rs. 84, I can buy 14 bananas and 35 oranges.

II. If price of bananas is reduced by 50%, then we can
buy 48 bananas in Rs. 12.

7. What is the first term of an arithmetic progression
of positive integers?

I. Sum of the squares of the first and the second term
is 116.

II. The fifth term is divisible by 7.

8. What is the length of rectangle ABCD?

I. Area of the rectangle is 48 square units.

II. Length of the diagonal is 10 units.

9. What is the number x?

I. The LCM of x and 18 is 36.

II. The HCF of x and 18 is 2.

10. Is x + y – z + t even?

I. x + y + t is even.

II. t and z are odd.

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