GMAT Math : Arithmetic

Study concepts, example questions & explanations for GMAT Math

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Example Questions

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Example Question #104 : Descriptive Statistics

True or false: is the arithmetic mean of the set .

Statement 1:

Statement 2: is the arithmetic mean of and .

Possible Answers:

EITHER STATEMENT ALONE provides sufficient information to answer the question.

BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.

BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.

STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.

STATEMENT 1 ALONE provides sufficient information to answer the question, but STATEMENT 2 ALONE does NOT provide sufficient information to answer the question.

Correct answer:

BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.

Explanation:

Assume both statements to be true, and examine two cases.

Case 1:

The arithmetic mean of and is

The conditions of both statements are satisfied.

The mean of the five numbers is their sum divided by 5:

 

Case 2:

The arithmetic mean of and is

The conditions of both statements are satisfied.

But the mean of the five numbers is

Therefore, the mean may or may not be equal to .

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