# Quantitative Aptitude Quiz for CAT, XAT

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. The integers 1, 2, …, 40 are written on
a blackboard. The following operation is then repeated 39 times: In each
repetition, any two numbers, say a and b, currently on the blackboard are
erased and a new number a + b – 1 is written. What will be the number left on
the board at the end? **

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(a) 820 (b)

821 (c) 781 (d) 819

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**2. What are the last two digits of 7^(2008)? **

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(a) 21 (b)

61 (c) 01 (d) 41

**3. The number of common terms in the two sequences 17,
21, 25,…, 417 and 16, 21, 26,…, 466 is **

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(a) 78 (b)

19 (c) 20 (d) 77

** **

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**4. The number of ways in which the digits of the
number 125453752 can be arranged such that no two 5’s come together is:**

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(a) 9! * 3! * 2! (b) 7! * 3! * 2! (c) 6! * 2! (d) None of these

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**5. How many integers, greater than 999 but not greater
than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of
digits is allowed? **

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(a) 499 (b)

500 (c) 375 (d) 376

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**6. Consider obtuse-angled triangles with sides 8 cm,
15 cm and x cm. If x is an integer, then how many such triangles exist? **

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(a) 5 (b)

21 (c) 10 (d) 15

**7. What is the number of distinct terms in
the expansion of (a + b + c)^20? **

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(a) 231 (b)

253 (c) 242 (d) 210

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**8. There are n players in an elimination
type singles tournament. How many matches must be played (or defaulted to
determine the winner). **

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(a) n + 1 (b) n -1 (c) n – 2 (d) n + 2

**9. If -1 ≤ X ≤
2 and 1 ≤ Y ≤ 3, then least possible value of (2y – 3x) is**

(a) 0 (b) -3 (c) -4 (d) -5

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**10. When n is divided by 4, the remainder is 3. What
is the remainder when 2n is divided by 4? **

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(a) 1 (b) 2 (c) 3 (d) 6

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