What is the remainder when the positive integer n is divided by 6?

(1) n is multiple of 5. If n=5, then n yields the remainder of 5 when divided by 6 but if n=10, then n yields the remainder of 4 when divided by 6. We already have two different answers, which means that this statement is not sufficient.

(2) n is a multiple of 12. Every multiple of 12 is also a multiple of 6, thus n divided by 6 yields the remainder of 0. Sufficient.

Answer: B.

Hope it's clear.
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Thanks a lot for the resources! Will do!

I need some clarification on the first statement...

I know the numbers go like this: 3, 9, 15.....

But when 3 is divided by 6...how is that a remainder of 3?

take 5 and 10 as n and we can can easily discard statement 1
Now as per statement 2 => N=12p => 6x => remainder will be zero
hence B
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Target question: What is the remainder when the positive integer n is divided by 6?

Statement 1: n is multiple of 5
Let's TEST some values.
There are several values of n that satisfy statement 1. Here are two:
Case a: n = 10. In this case, the answer to the target question is the remainder is 4 when n is divided by 6
Case b: n = 15. In this case, the answer to the target question is the remainder is 3 when n is divided by 6
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: n is a multiple of 12
If n is a multiple of 12, then we can write: n = 12k for some integer k
If n = 12k, we can also write: n = (6)(2)k, which tells us n is a multiple of 6
If n is a multiple of 6, then n divided by 6 will leave remainder 0
So, the answer to the target question is the remainder is 0 when n is divided by 6
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent
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