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Data Interpretation Question on Statements and Inferences

a, b and c are three positive integers. What is the value of (a2+b2+c2) ?
Statement 1: a2+b2=17 and c is the arithmetic mean of a and b
Statement 2: The geometric mean of a and b is 2
Directions: This question has a problem and two statements numbered (1) and (2) giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer :

A

statement (1) alone is sufficient to answer the question

B

statement (2) alone is sufficient to answer the question

C

both the statements together are needed to answer the question

D

either statement (1) alone or statement (2) alone is sufficient to answer the question

E

neither statement (1) nor statement (2) suffices to answer the question

Answer

both the statements together are needed to answer the question

Explanation

Solution

The correct answer is option (C): both the statements together are needed to answer the question