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# NMTC Inter Level (Final Stage)

Q)

$$N=\sqrt { 1+1/{ 1 }^{ 2 }+1/2^{ 2 } } +\sqrt { 1+1/{ 2 }^{ 2 }+1/3^{ 2 } } +\quad ......+\sqrt { 1+1/{ 2014 }^{ 2 }+1/2015^{ 2 } }$$

Find the integral part of N

Q) Is it possible to write the numbers 1,2,3.....,121 in an 11x11 table so that any two consecutive numbers be written in cells with common side and all perfect squares lie in a straight column?

Note by Rajat Gupta
1 year, 1 month ago