Question

Which of the following numbers is/are completely divisible by 9?

• A. $531$
• B. $495$
• C. $9855$
• D. $98765$

Answer 1

Answer: (A), (B), (C)

$9855$

Concept: A number, whose sum of digits is a multiple of 9, is divisible by 9.

From the given options,
$531\to 5+3+1=9495\to 4+9+5=189855\to 9+8+5+5=2798765\to 9+8+7+6+5=35$

$\because 9,18\&27$ are multiples of 9. Hence, $531,495\&9855$ are divisible by 9.

But 35 is not a multiple of 9, hence $98765$ is not divisible by 9.