Solutions

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Question

How many litres of apple juice were added to the cranberry juice in a certain container?

I. The amount of apple juice that was added was 3/2 the amount of cranberry juice in the container.

II. There were 5 litres of cranberry juice in the container

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:

Option E:

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Easy

Solution

Option C is the correct answer.

Option Analysis

Let x be the amount of apple juice to be added.

Let y be the amount of cranberry juice in the container.

Question is x?

Statement I is insufficient: Given x = (3/2) y We don’t know anything about the total litres. So not sufficient.

Statement II is insufficient: No info about x.

Given that y = 5

Together I and II,

x = (3/2)*5 = 7.5

So sufficient.