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
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
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.
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