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11 and Practice Paper
QA – 1 ]

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Quantitative Aptitude & Numerical Ability www.clhandreshagrawalbooks.com Practice Paper (Solved) ]

[ QA – 2

Practice Paper (Solved)
QUANTITATIVE APTITUDE
1. Three students try to solve a problem independently with a probability of solving it as 1 2 5 , , respectively. What is 3 5 12 the probability that the problem is solved ? 23 (a) 30 32 (c) 30 2. (b) 5. 3 (a) k = 2 (c) k ≠ 6 3 (b) k ≠ 2 (d) k = 6

30 (d) 7

7 30

A bag contains 5 red balls and 8 blue balls. It also contains 4 green and 7 black balls. If a ball is drawn at randomly find the probability that it is not green 5 1 6 (a) (b) 4 1 (c) 6 7 (d) 4

From among 36 teachers in a school one principal and one vice principal are to be appointed. In how many ways can this be done ? (a) 1260 (c) 1240 (b) 1250 (d) 1800

6.

The letters of the word PROMISE are arranged so that no two of the vowels should come together. Find total number of arrangements. (a) 49 (c) 7 (b) 1440 (d) 1898

3.

A boy has 3 library tickets and 8 books of his interest in the library. Of these 8, he does not want to borrow chemistry part II, unless chemistry part I is also borrowed. In how many ways can he choose the three books to be borrowed ? (a) 56 (c) 26 (b) 27 (d) 41

7.

4.

If the system 2x + 3y − 5 = 0, 4x + ky − 10 = 0 has an infinite number of solutions, then

Surendra, Rajendra and Manindra invested some amount in a business in the ratio of 5 :7 : 6 respectively. In the next year they increased their investments by 26%, 20% and 15% respectively. The profit earned during the second year should be distributed in what ratio among Surendra, Rajendra and Manindra respectively ? (a) 31 : 27 : 21 (b) 21 : 28 : 23

QA – 3 ]
(c) 26 : 20 : 15 (d) Cannot be determined (e) None of these 8. Four of the following five parts numbered (i), (ii), (iii), (iv) and (v) are exactly equal. The number

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