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Question

Which of the following numbers is divisible by 6?

(a) 7908432
(b) 68719402
(c) 45982014
(d)

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Solution

(a) 79,08,432 and (c) 4,59,82,014

A number divisible by 6 must also be divisible by 3 and 2 as 6 is a multiple of 3 and 2.

In 79,08,432, the sum of the digits = 7 + 9 + 0 + 8 + 4 + 3 + 2 = 33
Since 33 is a multiple of 3, this number is divisible by 3.
Also, since the last digit is 2, it is also divisible by 2.
Therefore, 79,08,432 is divisible by 6.

In number 4,59,82,014, the sum of the digits = 4 + 5 + 9 + 8 + 2 + 0 + 1 + 4 = 33.
Since 33 is a multiple of 3, this number is divisible by 3.
Also, since the last digit is 4, it is also divisible by 2.
So, 4,59,82,014 is also divisible by 6.

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