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Question

Which of the following numbers is divisible by $$12$$?


A
3781
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B
3982
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C
9853
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D
2712
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Solution

The correct option is D $$2712$$
We know the divisibility rule: If a number is exactly divisible by both $$3$$ and $$4$$, then the number is divisible by $$12$$.
Here, the sum of the digits is $$2 + 7 + 1 + 2 = 12$$. $$12$$ is multiple of $$3$$, so the number is multiple of $$3$$.
$$2712$$, last $$2$$ digits $$12$$ exactly divisible by $$4$$, so the number is divisible by $$4$$.
So, the number $$2712$$ is divisible by both $$3$$ and $$4$$, the number is divisible by $$12$$.

Mathematics

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