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 4So, 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
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
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