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Bunuel
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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 = 225
Case b: x = 3 and y = 5. In this case, the answer to the target question is (5x/y)² = (15/5)² = 9
Since 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 = 4
So, the answer to the target question is (5x/y)² = 4
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent
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