Bunuel
What is the remainder if the positive integer y is divided by 3?
(1) y is an even integer.
(2) y is a multiple of 6.
Target question: What is the remainder if the positive integer y is divided by 3? Statement 1: y is an even integer. So, some possible values of y include: 2, 4, 6, 8, 10, 12, ...etc
Case a: If y = 2, then
y divided by 3 leaves a remainder of 2Case b: If y = 4, then
y divided by 3 leaves a remainder of 1Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: y is a multiple of 6If y is a multiple of 6, then we can write: y = 6k (for some integer k)
We can rewrite this as: y = (
3)(2k), which tells us that y is a multiple of
3If y is a multiple of
3, then
y divided by 3 MUST leave a remainder of 0Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent
RELATED VIDEO