GRE Quiz | GRE Quantitative 2 | Question 9

This is multiple correct questions (one or more than one choices are correct).

If A² – B² = 256 and A + B > A – B then what will be the possible value of A – B?

(A) 12
(B) 13
(C) 14
(D) 15
(E) 16

Answer: (A) (B) (C) (D)
Explanation:

A + B > A - B 

Multiply both side by A - B,

A2 - B2 > (A - B)2 
256 > (A - B)2

Take square root on both sides,
16 > A - B 

So, option (A), (B), (C) and (D) are correct.
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