If x and y are positive integers, is 5^x≤ft(1/4)^ (1) Y=3X. (2) X=2.

Correct Answer is : Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

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.

Correct Answer is : Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

Test Index

GMAT Quantitative Reasoning Practice Test 6

Question : 56 of 100

Marks: +1, -0

x

y

5^x\left(\frac{1}{4}\right)^\gamma < 1

Y=3X

X=2

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:

Use statement (1) to write:

5^x\left(\frac{1}{4}\right)^{3x}=\left(\frac{5}{64}\right)^x

. Because

X

is a positive integer only, the expression will always be smaller than 1 . This statement alone provides us the answer. Use statement (2) to write:

5^2\left(\frac{1}{4}\right)^\gamma \rightarrow

the answer here is dependent on

Y

, a different combinations of the variable

Y

will give different results.

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