GMAT Quantitative Reasoning Practice Test 7

Question : 85 of 100

Marks: +1, -0

A hose was divided into 3 smaller and different in size hoses. What is the difference between the length of the largest and the smallest hose?
(1) The sum of the two larger hoses is 45 feet.
(2) The sum of the two smaller hoses is 23.

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 hose,

X< Y< Z

. Statement (1) can be written as:

Z+Y=45

.
Statement (2) can be written as:

X+Y=23

.
In order to find the difference between

{\Z}

and

X

, subtract the second statement from the first to get:

Z-X=22

, and this is what we were looking for. Both statements, taken together, are sufficient.

Go to Question:

Prev Question

Next Question