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Question

The number 4a6 is divisible by 3. Find the least value of a.

A
0.0
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B
2
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C
7
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D
4
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Solution

The correct option is B 2
For a number to be divisible by 3, the sum of all the digits of the number should be divisible by 3.
The number given is 4a6.

Sum of digits = 4 + a + 6
= 10 + a

If a=0
Sum of digits = 10 + 0 = 10.

If a=1
Sum of digits = 10 + 1 = 11.

If a=2
Sum of digits = 10 + 2 = 12.
12 is divisible by 3.

Therefore, the least value of a is 2.

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