SarkariPYQ

SSC CHSL 2024 PYQ — Question 67

SSC CHSL - 10 July 2024 - Shift 4 • Quantitative Aptitude • Q67

Back to paper

When 2256 is divided by 17, the remainder would be:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 1.

Given, 2256 which can be written as 24 × 64

⇒ 1664
According to the given question,

1664 is divided by 17, (16)6417{(16)^{64} \over 17}

when 16 is divided by 17, remainder = -1

⇒ (-1)64 = 1

Hence the remainder is 1.