Bunuel wrote:
If x and y are positive integers, is x a factor of y?
(1) y is a factor of x
(2) x > y
Given: x and y are positive integers Target question: Is x a factor of y? Statement 1: y is a factor of x There are several values of x and y that satisfy statement 1. Here are two:
Case a: x = 6 and y = 3. This satisfies a statement 1 because 3 is a factor of 6. In this case, the answer to the target question is
NO, x is not a factor of yCase b: x = 3 and y = 3. This satisfies a statement 1 because 3 is a factor of 3. In this case, the answer to the target question is
YES, x is a factor of ySince we can’t answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: x > yKey property: The factors of an integer are always less than or equal to that integer. So, if x > y, it's impossible that x is a factor of y
The answer to the target question is
NO x is not a factor of ySince we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent
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