Question

What is the remainder when a five-digit number 23abc is divided by 5, provided that 'c' is a non-zero natural number and is not bigger than 5?

• A. c
• B. c - 1
• C. Either c or 0
• D. Zero

Answer 1

The correct option is C Either c or 0

There should be either 5 or 0 at ones place for a number to be divisible by 5.
Given, c is non zero natural number not more than 5,
i.e. 0 < c ≤ 5
When 23abc is divided by 5,
(i) If c = 1,2,3,4 the remainders are 1,2,3,4 respectively
(ii) If c = 5, the remanider is 0.

Therefore, on dividing 23abc by 5, the remainder will be either c or 0.