Is \frac{x}{y}>\frac{y}{x} \text{ ? } (1) 3 x=6 y (2) x \/ y>1

Correct Answer is : The problem can be solved using EITHER statement (1) only or statement (2) only.

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 6

Question : 18 of 100

Marks: +1, -0

{x}/{y}>\;{y}/{x} \;\text " ? "\;

(1)

3 x=6 y

(2)

x \/ y>1

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.

Solution:

Divide both sides of the equation in statement (1) by

3 y

. This results in the proportion

\;{x}/{y}=\;{6}/{3}

and

\;{y}/{x}=\;{3}/{6}

Therefore, the answer to the original question would be yes.
Statement (2) tells you that

x {/} y

is greater than 1 ; therefore, it must be an improper fraction.

y \/ x

would then be a proper fraction making it less than

x/ y

. Either statement is sufficient.

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