GMAT Quantitative Reasoning Practice Test 6

Question : 53 of 100

Marks: +1, -0

X

and

Y

are positive integers, what is the ratio between

Y

and

X

?
(1)

X Y=150

.
(2)

Y

22 \%

X

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
Either statement BY ITSELF is sufficient to answer the question.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Solution:

The question actually asks what is

Y / X

X / Y

.
Statement (1) is not sufficient because from the product of the two variables we can't make out the ratio. Statement (2) is sufficient by itself,

Y=22 X {/} 100 → Y {/} X=11 {/} 50

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