GMAT Quantitative Reasoning Practice Test 7

Question : 8 of 100

Marks: +1, -0

A long rope was divided to three different parts. What is the length of the smallest piece?
(1) The sum of the two smaller pieces is 14 inch.
(2) The sum of the two larger pieces is 22 inch.

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
Either statement BY ITSELF is sufficient to answer the question.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Validate

Solution:

Translate the statements into variables: Let

X, Y

and

Z

be the thee pieces of the rope,

X< Y< Z

. Statement (1) can be written as:

X+Y=14

.
Statement (2) can be written as:

Y+Z=22

.
In order to find the length of the smallest piece, we need another equation or data. More data is required.

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