Model Questions for IBPS PO PRELIM Exam : Quantitative Aptitude Set-44

1. Four of the five parts numbered (1), (2), (3), (4) and (5) in the following equation are exactly equal. Which part is not equal to the other four? The number of that part is the answer.

(1) 5³ + 3 + 4⁸ =
(2) 5² × 33 – 475 =
(3) 35 + 44 =
(4) 4³ + 2 × 17 × 4
(5) (6)³ – (2)⁴

2.There are 11 members in a family out of which there are 4 males and remaining females. The family has hired three cars for a trip to zoo. The members are to be seated in the cars in such a way that there are not more than four members in one car and there is at least one male in each car. How many different ways can the members travel?

(1) 658
(2) 126
(3) 140
(4) 532
(5) None of these

Directions: In each question below one or more equation(s) is/are provided. On the basis of these, you have to find out relation between p and q.

Give answer (1) if p = q
Give answer (2) if p > q
Give answer (3) if q > p
Give answer (4) if p q
Give answer (5) if q p

3. I.4q² + 8q = 4q + 8
    II.p² + 9p = 2p – 12

4. I.2p² + 40 = 18p
    II.q² + 13q – 42

5.
    II.12p² + 2 = 10p

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6. The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from the second number, the third is multiplied by 3 and the fourth is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers?

(1) 32
(2) 27
(3) 21
(4) Cannot be determined
(5) None of these

7. In a recent survey 40% houses contained two or more people. Of those houses containing only one person 25% were having only a male. What is the percentage of all houses which contain exactly one female and no males?

(1) 75
(2) 40
(3) 15
(4) Cannot be determined
(5) None of these

8. Sumitra has an average of 56% on her first 7 examinations. How much should she make on her eight examinations to obtain an average of 60% on 8 examinations?

(1) 88%
(2) 78%
(3) 98%
(4) Cannot be determined
(5) None of these

9. If 3x + 7 = x² + M = 7x + 5, what is the value M?

(4) Cannot be determined
(5) None of these

10. A classroom has equal number of boys and girls, Eight girls left to play Kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially?

(1) Cannot be determined
(2) 16
(3) 24
(4) 32
(5) None of these