co801dw wrote:
What is the remainder when the positive integer n is divided by 6?
(1) n is multiple of 5
(2) n is a multiple of 12
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 6Case b: n = 15. In this case, the answer to the target question is
the remainder is 3 when n is divided by 6Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: n is a multiple of 12If 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
6If 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 6Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent
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