# Solutions

Get detailed explanations to advanced GMAT questions.

### Question

If both x and y are nonzero numbers, what is the value of y/x?

I. x = 6

II. y^2 = x^2

Option A:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Option B:

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

Option C:

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Option D:

EACH statement ALONE is sufficient to answer the question asked.

Option E:

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

### Difficulty Level

Hard### Solution

Option E is the correct answer.

### Option Analysis

Note that √x^2=|x|.

Statement I is insufficient: x = 6. Not sufficient.

Statement II is insufficient: y^2 = x^2 –> |x|=|y| –> if x and y have the same sign then xy=1 (for example x=y=6) but if x and y have the opposite signs then xy=−1 (for example x=6 and y=−6). Not sufficient.

Together I and II, We still don’t know whether x and y have the same sign or not. Not sufficient.

### Related Questions

- Is x > y?

- A farmer who grows strawberries defines a “workday yield” as the number of litres of strawberries that…

- Each signal that a certain ship can make is comprised of 3 different flags hanging vertically in a…

- At a certain committee meeting only associate professors and assistant professors are present…

- During an experiment, the temperature of a liquid was measured several times. The temperatures, in degree…