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Three consecutive positive integers are raised to the first, second and third powers respectively and then added. The sum so obtained is a perfect square whose square root equals the total of the three original integers. Which of the following best describes the minimum value, say m, of these three integers?(CAT 2008)


Options:
A .   1<=m<=3
B .   4<=m<=6
C .   7
D .   10  
E .   13<=m<=15
Answer: Option A
:
A
Ans: a
It's an easy question. Trial with some numbers will give you the solution
1<=m<=3
31+42+53=144=122=(3+4+5)2.

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