Which of the following numbers nearest to 90561 is divisible by 9?

Correct option is D

Given:

Number = 90561

Concept Used:

A number is divisible by 9 if the sum of its digits is divisible by 9.

Solution:

Sum of digits of 90561 = 9 + 0 + 5 + 6 + 1 = 21

Now, checking from options;

Option A: 90533 → Sum = 9 + 0 + 5 + 3 + 3 = 20 → Not divisible

​Option B: 90532 → Sum = 9 + 0 + 5 + 3 + 2 = 19 → Not divisible

​Option C: 90534 → Sum = 9 + 0 + 5 + 3 + 4 = 21 → Not divisible

​Option D: 90531 → Sum = 9 + 0 + 5 + 3 + 1 = 18 → Divisible by 9​