For what value of M, 58524M is divisible by 9?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 3.
The digits of the number 58524M are 5, 8, 5, 2, 4, and ( M ). The sum of the known digits is:
⇒ 5 + 8 + 5 + 2 + 4 = 24
M in the sum, so the total sum of the digits is:
⇒ 24 + M
( 24 + M ) to be divisible by 9.
For ( M = 0 ), the sum is ( 24 + 0 = 24 ), which is not divisible by 9.
For ( M = 1 ), the sum is ( 24 + 1 = 25 ), which is not divisible by 9.
For ( M = 2 ), the sum is ( 24 + 2 = 26 ), which is not divisible by 9.
For ( M = 3 ), the sum is ( 24 + 3 = 27 ), which is divisible by 9.
The value of ( M ) that makes 58524M divisible by 9 is ( M = 3 ).