Is n^2

Question

Is n^2 < n^3 ?

(1) n^2 < 1

(2) n^3 < 1

OA is E but I have to disagree. Pls verify this reasoning.

S1 tell us that -1 < n < 1

When n = 0 the answer is NO
When n = -0.5 the answer is NO
When n = 0.5 the answer is NO
Sufficient

S2 tells us that n < 1

When n = 0 the answer is NO
When n = -0.5 the answer is NO
When n = 0.5 the answer is NO
Sufficient

Answer D

agdimple333 · Answer

St 1 - is n^2 < 1 means n is between 0 and 1
in that case n^2 will be less than n^3
sufficient

St 2 - is n^3 <1 means n could be a negative integer or could be a decimal.
so n^2 could be greater than or less than n^3
not sufficient.

Answer is A

gurpreetsingh · Answer

Not correct. What if n lies between -1,1? then also n^2<1 -------------------------------- Is n^2 < n^3 ? => Is n^2 ( 1- n) < 0 ? => is n>1 St1 n^2<1 => n lies between -1,1 Sufficient, as the answer to " is n>1 " is no. St2. n^3< 1 => n has to be less than 1. Hence sufficient, as the answer is no. Hence D

paidlukkha · Answer

can I solve like this? n^3>n^2 n>0 so def n^2 1

Bunuel · Answer

Is n^2 < n^3 ? Notice that the question basically asks whether n > 1. (1) n^2 < 1 --> -1 < n < 1. The answer to the question is NO. Sufficient. (2) n^3 < 1 --> n < 1. The answer to the question is NO. Sufficient. Answer: D.

bethebest · Answer

Why have we not considered 0 as a possible value for n?? If n=0, then we do not have a clear answer..!!!

Please suggest.

Bunuel · Answer

Even if n = 0 we still have the same NO answer to the question whether n^2 < N^3.

prakashb2497 · Answer

Bunuel  can you elaborate as to how you arrived at n>1? 
Also are we assuming n to be an integer here?

chetan2u · Answer

n^21………n>1 Thus n>1 will give a yes, while n\leq 1 will give a no. n\leq 1 will include n=0 as well. (1) n^2 < 1 This means |n|<1………..-11?’ is NO. Sufficient (2) n^3 < 1 Take cube root on both sides n<1. Again answer is NO. Sufficient D

bumpbot · Answer

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Is n^2 < n^3 ? (1) n^2 < 1 (2) n^3 < 1

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