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Question

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

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 option is (C): Both the statements together are needed to answer the question