Bunuel wrote:
Is xy > 6 ?
(1) 2 ≤ x ≤ 4 , 3 < y < 5
(2) x – y = 0
Target question: Is xy > 6 ? Statement 1: 2 ≤ x ≤ 4 , 3 < y < 5 The LEAST possible value of x is 2.
If it were possible for y to equal 3, then xy = (2)(3) = 6
However, it is NOT possible for y to equal 3, since the statement tells us that y is GREATER THAN 3.
So, the least possible value of xy must be greater than 6.
So, we can be certain that
xy > 6Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: x – y = 0 There are several values of x and y that satisfy statement 2. Here are two:
Case a: x = 3 and y = 3, in which case xy = (3)(3) = 9. In this case,
xy IS greater than 6Case b: x = 1 and y = 1, in which case xy = (1)(1) = 1. In this case,
xy is NOT greater than 6Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
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