Question

# If M is a square number, what is the next immediate square number?M+5M+2√M+1M2+2MM+2√M−1

Solution

## The correct option is B M+2√M+1We can solve this question using option elimination. Consider M = 25 Then M+5=25+5=30 (Which is not a perfect square) So option 1 is eliminated. M+2√M+1=25+2√25+1=25+10+1=36 (Which is a perfect square) So option 2 is correct. M2+2M=(25)2+2(25)=625+50=675 (Which is not a perfect square) So option 3 is eliminated. M+2√M−1=(25)+2√25−1=25+10−1=34 (Which is not a perfect square) So option 4 is eliminated. Hence only option 2 is correct.

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