Is x y>0 \text{ ? } (1) x>1 (2) y< 0

Correct Answer is : The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.

Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.

The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).

The problem can be solved using EITHER statement (1) only or statement (2) only.

The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

GMAT Quantitative Reasoning Practice Test 5

Question : 99 of 100

Marks: +1, -0

x y>0 \;\text " ? "\;

(1)

x>1

(2)

y< 0

Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.
Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.
The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).
The problem can be solved using EITHER statement (1) only or statement (2) only.
The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

Validate

Solution:

Statement (1) and statement (2) together are sufficient. To have a product greater than zero, either x and y are both positive or both negative. You need both statements to be able to tell. The fact that

x > 1

lets you know that x is positive, andsince

y < 0

, y is negative.

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