1000+ Quantitative Aptitude Questions and Answers for Bank Exams - 1

Question: 1

The smallest natural number which is a perfect square and which ends in 3 identical digits lies between

(A) 1000 and 2000

(B) 2000 and 3000

(C) 3000 and 4000

(D) 4000 and 5000

Ans: A

The smallest such number is 1444 [= (38)2].

It lies between 1000 and 2000.

Question: 2

The largest four digit number which is a perfect cube, is

(A) 7000

(B) 8000

(C) 9261

(D) 9999

Ans: C

Clearly, (21)3 = 9261 and (22)3 = 10648.

So, 9261 is the largest four digit number which is a perfect cube.

Question: 3

The least number by which 294 must be multiplied to make it a perfect square is

(A) 2

(B) 3

(C) 4

(D) 6

Ans: D

294 = 7 × 7 × 2 × 3.

To make it a perfect square, it must be multiplied by 2 × 3 i.e., 6.

∴ Required number = 6.

Question: 4

What is the smallest number by which 3600 be divided to make it a perfect cube?

(A) 50

(B) 250

(C) 450

(D) 500

Ans: C

3600 = 23 × 52 × 32 × 2.

To make it a perfect cube, it must be divided by 52 × 32 × 2, i.e., 450.

Question: 5

1250 oranges were distributed among a group of girls of a class. Each girl got twice as many oranges as the number of girls in that group. The number of girls in the group was

(A) 25

(B) 35

(C) 45

(D) 65

Ans: A

Let the number of girls in the group be x.

Then, number of oranges given to each girl = 2x.

∴ x × 2x = 1250 ⇔ 2x2 = 1250 ⇔ x2 = 625 ⇔ x = $$√625$$ = 25.

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