Bunuel
If x and y are integers and 1 < x < y, what is the value of y ?
(1) xy = 15
(2) The product of 42 and x is 126.
Given: x and y are integers and 1 < x < y Target question: What is the value of y ? Statement 1: xy = 15 The key here is that x and y are
integersIf the product of x and y is 15, there are only two possible pairs of values: 1 & 15 and 3 & 15
When we consider the fact that x and y are both greater than 1 (given: 1 < x < y), we can eliminate the possibility that the numbers are 1 & 15
Also, since x < y, we can see that it MUST be the case that x = 3 and
y = 5Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: The product of 42 and x is 126This tells us that x = 3, but we still don't have any information that will help us find
the value of ySince we can’t answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent