Question

What is the missing digit in the number 432 _ _ _ _ _ _ 687 if the number is divisible by 9?

• A. 5
• B. 6
• C. 7
• D. 8

Hint:

For divisibility by 9, digit sum must be a multiple of 9.

Answer 1

The Correct Option is B

Concept: A number is divisible by 9 if the sum of its digits is divisible by 9. Explanation: Digits: $4 + 3 + 2 + x + 6 + 8 + 7$ Sum without missing digit: \[ 4 + 3 + 2 + 6 + 8 + 7 = 30 \] So total sum = $30 + x$ For divisibility by 9: \[ 30 + x = 36 \Rightarrow x = 6 \]