1000+ Banking Aptitude Questions and Answers - 1

Ans: B

Let the given number be x.

Then, x² - 25 = (x – 25)² ⇔ x² - 25 = x² + 625 – 50x

⇔ 50x = 650 ⇔ x = 13.

Ans: A

L.C.M. of 21, 36, 66 = 2772.

Now, 2772 = 2 × 2 × 3 × 3 × 7 × 11.

To make it a perfect square, it must be multiplied by 7 × 11.

So, required number = 2² × 3² × 7² × 11² = 213444.

Ans: B

Let $$√11881$$ × $$√x$$ = 10137.

Then, 109 × $$√x$$ = 10137.

⇔ $$√x$$ = $${10137}/{109}$$ = 93.

⇔ x = (93)² = 8649.

Ans: D

The first perfect square number after 50 is 64 (= 8²) and the last perfect square number before 1000 is 961 [= (31)²].

So, the perfect squares between 50 and 1000 are the squares of numbers from 8 to 31. Clearly, these are 24 in number.

Ans: D

1470 = 7 × 7 × 5 × 6.

To make it a perfect square, it must be divided by 5 × 6, i.e., 30.