SarkariPYQ

SSC Selection Post 2020 PYQ — Question 67

SSC Selection Post - Graduation Level 2020 - 9 Nov 2020 - Shift 2 • Quantitative Aptitude • Q67

Back to paper

What is the remainder when we divide 450 + 750 by 65?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 0.

450 + 750 = (42)25 + (72)25 = 1625 + 4925

(an + bn) is divisible by (a + b) when n is an odd positive integer

Here, n = 25 and 16 + 49 = 65

So, (450 + 750) is divisible by 65

Hence, the remainder is 0.