When a number is divided by 512 it leaves a remainder 67. If the same number is divided by 32, then what will be the remainder?

Question

Question

This question was previously asked in

SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 03 Jul, 2024 Shift 1)

Answer 1

Given:

A number leaves a remainder of 67 when divided by 512.

Formula used:

Number = 512k + 67, where k is an integer.

We need to find the remainder when this number is divided by 32.

Calculations:

512k + 67 mod 32

512 is divisible by 32, so 512k mod 32 = 0.

Now, 67 mod 32 = 67 - (32 × 2) = 67 - 64 = 3.

∴ The remainder when the number is divided by 32 is 3.