True or false: N is a positive number.

Question

Statement 1: N=|N|

Statement 2: N>N^2

J2S2019 · Answer

Statement 2 is sufficient.

Statement 1 says,
|N|=N, only true when N>=0
Question asks is N +ve or -ve, but N can be 0 as stated above (0 is non-negative)

Hence not sufficient

Statement 2 Says

N>N^2

N^2 is always >=0

so, N>0

sufficient

stne · Answer

Statement 1: N=|N| N could be 0 -> No N is not positive N could be 1,2,3.etc ( any positive number) -> yes N is positive Hence Insuff. Statement 2:N>N^2 ->N^2-N<0 ->N(N-1)<0 ->0< N <1 hence N can only be positive. Suff. Ans- B

globaldesi · Answer

clearly stmt 2 is sufficient
since right hand side is positive
N has to be positive
thus B

True or false: N is a positive number.

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