GMAT Quantitative Reasoning Practice Test 7

Question : 18 of 100

Marks: +1, -0

What is the average price of three different DVD’s?
(1) The first DVD costs 125 dollars.
(2) The sum of the prices of the second and the third DVD’s is 300 dollars.

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:

Statement (1) gives us information about the first DVD only and therefore it’s not sufficient.
Statement (2) gives us information only about two of the DVD’s and therefore this statement by itself is not sufficient either.
Combining both statements we have enough data to calculate the average. If X, Y and Z are the prices of the three DVD’s, statement (1) tells us the value of X and statement (2) the value of the other two so we can calculate the average:

(X + Y + Z) {/ }3

.
Therefore, the two statements combined are sufficient.

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