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Question

Which of the following is divisible by 6?

A
852
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B
853
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C
854
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D
856
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Solution

The correct option is A 852
The condition of divisibility by 6:
A number is divisible by 6 if it is divisible by both 2 and 3.

a) 852 is divisible by 2 and 8 + 5 + 2 = 15 which is divisible by 3.
Hence, 852 is divisible by 6.

b) 853 is not divisible by 2 since it is not an even number.
Hence, it is not divisible by 6.

c) 854 is divisible by 2 but 8 + 5 + 4 = 17 which is not a multiple of 3.
Hence, it is not divisible by 6.

d) 856 is divisible by 2 but 8 + 5 + 6 = 19 which is not a multiple of 3.
Hence, it is not divisible by 6.

Therefore, among the following options 852 is divisible by 6.

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