If n 0, which is greater, 20 percent of n or 10 percent of

Question

If n > 0, which is greater, 20 percent of n or 10 percent of the sum of n and 0.5 ?

(1) n < 0.1 
(2) n> 0.01

GMATinsight · Accepted Answer

Question : is 20% of n greater than 10% of the sum of n and 0.5?

Question : is 0.2n > 0.1(n+0.5)?

Question REPHRASED : is n > 0.5 ?

Statement 1 : n < 0.1 
i.e. n is NOT greater than 0.5 hence
SUFFICIENT

Statement 2 : n > 0.01 
i.e. n is may or may NOT be greater than 0.5 hence
NOT SUFFICIENT

Answer: Option A

hitman5532 · Answer

S1) n<0.1
20% of 0.1 = .02, so first option is between 0 and .02
10% of (0.1+0.5) = .06 ; 10% of (0.0+0.5) = .05, so the second option is between .05 and .06
Because the range of the second option is always larger than the range of the first option, S1 is sufficient

S2) n>0.01
20% of 0.01 = .002 so the first option is from .002 to infinity
10% of (.001+.05) = .051, so the second option is from .051 to infinity
S2 is not sufficient

I get A

Yezz, how did the OA source describe C as correct? Maybe I am missing something.

smyarga · Answer

I got the same answer A.

Thу question ask to find which is greatear  0.2n  or  0.1(n+0.5) . It is the same as to find which is greater  2n  or  n+0.5 , or, similarly,  n  or  0.5 .

(1) We definitely know that  n<0.5 
(2) We know nothing.

Must be A.

yezz · Answer

Obviously the OA is wrong , I agree 100% on A. thanks to all the source of this question is a document i downloaded from the club that has a collection of questions in it.

Bunuel · Answer

If n > 0, which is greater, 20 percent of n or 10 percent of the sum of n and 0.5 ?

Is  0.2n>0.1(n+0.5) ?
Is  n>0.5 ?

(1) n < 0.1. Sufficient.
(2) n> 0.01. Not sufficient.

Answer: A.

bumpbot · Answer

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If n > 0, which is greater, 20 percent of n or 10 percent of

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