Solutions
Get detailed explanations to advanced GMAT questions.
Question
P, Q, R and S are points on the number line in that order. If the distance from P to S is 10, what is the distance from Q to R?
I. The distance from P to R is 3
II. The distance from Q to S is 9
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
EasySolution
Option C is the correct answer.
Option Analysis
Statement I is insufficient: The distance from P to R is 3.
The relation of these points P, R, S with Point Q is unknown.
Hence not sufficient. Statement II is insufficient:
The distance from Q to S is 9
The relation of these points P, S, Q with Point R is unknown
Hence not sufficient
Together I and II,
PR = 3
QS = 9
PS = 10
P 1 Q 2 R 7 S
The arrangement will be as mentioned above with the Numbers representing the distance between two adjacent points. Sufficient.
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