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If a and b are positive integers, a > b and (a + b)2 - (a - b)2 > 29
Then the smallest value of a is -

A. 3

B. 4

C. 6

D. 7

Answer: Option B

Solution(By Examveda Team)

Since (a + b)2 - (a - b)2 = 4ab, So, the given expression should be a multiple of 4
So, the least value of 4ab is 32 and so the least value of ab is 8
Hence, the smallest value of a is 4 and that of b is 2
Hence, a = 4

This Question Belongs to Arithmetic Ability >> Number System

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