4a56 is a four-digit numeral divisible by 33. What is the value of a?Options :A.3B.4C.5D.6
Question
4a56 is a four-digit numeral divisible by 33. What is the value of a?
Options :
A. 3
B. 4
C. 5
D. 6
Solution
The divisibility rule for 33 is that a number is divisible by 33 if and only if the sum of the digits of the number is divisible by 33.
Given the four-digit numeral is 4a56.
The sum of the digits is 4 + a + 5 + 6 = 15 + a.
For the number to be divisible by 33, the sum of the digits (15 + a) must be divisible by 33.
The only possible values for a that make (15 + a) divisible by 33 are 18 and 51.
But a is a single digit number, so it can't be 18 or 51.
Therefore, there is no value of a that makes 4a56 divisible by 33.
So, none of the options A.3, B.4, C.5, D.6 are correct.
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