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Question

If 84763A9 is divisible by 3, find A.

A
2
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B
3
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C
5
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D
8
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Solution

The correct options are
A 2
C 5
D 8
A number is divisible by 3 if the sum of all the individual digits is evenly divisible by 3.
84763A9 = 8 + 4 + 7 + 6 + 3 + A + 9
= 37 + A

If A = 2,
37 + 2 = 39 which is divisible by 3.

If A = 3,
37 + 3 = 40 which is not divisible by 3.

If A = 5,
37 + 5 = 42 which is divisible by 3.

If A = 8,
37 + 8 = 45 which is divisible by 3.

Hence, the number 84763A9 will be divisible by 3 if A = 2, 5 or 8.

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