Get detailed explanations to advanced GMAT questions.

If a, b, c are three numbers on the number line shown above, is c between a and b.

I. b < 0

II. a – b > c

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.

Option E is the correct answer.

Probably the best way to solve this problem is to pick some smart numbers. Notice that from the diagram we have that a<b

Statement I is insufficient: b<0. Clearly insufficient since we know nothing about c.

Statement II is insufficient: a-b>c. If a=−10 and b=−1, then −10−(−1)=−9>c. Now, is c=−9.5, then the answer is YES but if c=−100, then the answer is NO. Not sufficient.

Together I and II, Example from (2) is still valid, so even when we consider the two statements together we cannot answer the question. Not sufficient.

- If m and n are integers and x > 0, what is the value of x^m+x^n?

- Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes…

- If 0 < x < 2, which of the following must be greatest?

- In the triangle above, is x > 90?

- If T is a list of consecutive integers in increasing order, what is the sum of integers in T?

- Copyright © 2021. All Rights Reserved. Crafted by Pixelmattic