# Solutions

Get detailed explanations to advanced GMAT questions.

### Question

Is the product of a positive integer and a negative integer is less than -10 ?

I. The positive integer is greater than 3

II. The negative integer is less than -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

Medium### Solution

Option C is the correct answer.

### Option Analysis

Let x be the positive integer and y be the negative integer. Question: Is x*y < -10?

Statement I is insufficient: Nothing about y. So not sufficient.

Statement II is insufficient: Nothing about x. So not sufficient.

Together I and II,

We know that x > 3 and y < -2

Both x and y are integers.

So x has to be minimum 4 and y has to be maximum -3

So 4*-3 is -12.

### Related Questions

- If the positive number d is the standard deviation of n, k and p then the standard deviation of n+1, k+…

- If two copying machines work simultaneously at their respective constant rates, how many copies do…

- To raise funds, a racing team sold T-shirts imprinted with the team’s logo. The team paid their supplier a…

- In the xy-plane, does the line L intersect the graph of y = x^2

- Company X has 50 employees and Company Y has 60 employees. Both companies have the…