Question

If N is divisible by 2 and 3, then what is the remainder when N is divided by 6?

Answer 1

0

Explanation:

since N is divisible by both 2 and 3, then N must be the LCM of 2 and 3 which is 6.Hence when divided by 6 the remainder is 0.

Answer 2

Explanation:

Therefore, N must be an even number; because of its divisibility by 2.

Also, N is not divisible by 3.

So, there must be some remainder when N is divided by 6.

Let, N = (6*n) + x

where n and x both are natural numbers.

So, possible values that x can possess are: 1, 2, 3, 4 and 5.

Now, let’s examine their possibilities below:-

i) 1 is not eligible. Because, it will turn N into an odd number.

ii) 2 is eligible. Because, it satisfies all required conditions.

iii) 1 is not eligible. Because, it will turn N into an odd number. Moreover, it will make N divisible by 3.

iv) 4 is eligible. Because, it satisfies all required conditions.

v) 5 is not eligible. Because, it will turn N into an odd number