Solutions

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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

Easy

Solution

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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