Bunuel
If y ≠ 0, what is the value of \((\frac{5x}{y})^2\)?
(1) x = 3
(2) 5x − 2y = 0
Target question: What is the value of (5x/y)² Statement 1: x = 3 Since we have no information about the value of y, statement 1 is not sufficient.
If we're not convinced, we can some values.
There are several values of x and y that satisfy statement 1. Here are two:
Case a: x = 3 and y = 1. In this case, the answer to the target question is
(5x/y)² = (15/1)² = 225Case b: x = 3 and y = 5. In this case, the answer to the target question is
(5x/y)² = (15/5)² = 9Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: 5x − 2y = 0 Add 2y to both sides to get: 5x = 2y
Divide both sides by y to get: 5x/y = 2
Square both sides to get:
(5x/y)² = 2² = 4So, the answer to the target question is
(5x/y)² = 4Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent