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:
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
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.
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