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Question

If M is a square number, what is the next immediate square number?
  1. M+5
  2. M+2M+1
  3. M2+2M
  4. M+2M1


Solution

The correct option is B M+2M+1
We 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+2M+1=25+225+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+2M1=(25)+2251=25+101=34 (Which is not a perfect square)
So option 4 is eliminated.
Hence only option 2 is correct.

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