Which expression is larger 1/5-X or X/5 ? (1) x (2) X > -8.

Correct Answer is : Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

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 : Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Test Index

GMAT Quantitative Reasoning Practice Test 5

Question : 82 of 100

Marks: +1, -0

\frac{1}{5-X}

\frac{X}{5}

x < 8

X > -8

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 easiest way to solve such a problem is to plug in numbers.

Use both statements to see that they are both insufficient even together.

Take

X=0: \frac{1}{5-X} = \frac{1}{5}

and

\frac{X}{5} = 0

, in this case the first expression is larger.

Take

X=7: \frac{1}{5-X} = -\frac{1}{2}

and

\frac{X}{5} = \frac{7}{5}

, in this case the second expression is larger.

We can see that the answer is dependent on which numbers we choose and more data is required in order to determine the answer.

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