(1) n < 0.1
Here if you take any value for n i.e less than 0.1 and greater than zero.
20% of n will always be very small as compared to 0.5
for example, say n = 0.02
Now 20% of 0.01 = 0.004
20% of any number number which is less than 0.1 will always give smaller number than 0.5
Suff
(2) n > 0.01
Consider the above ex which says
20 percent of n < 10 percent of the sum of n and 0.5
and take n = 10, then
20 percent of n > 10 percent of the sum of n and 0.5
(2 > 1.5)
Insuff
Choose(a)
If n > 0, which is greater,
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Source: Beat The GMAT — Data Sufficiency |
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cramya
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Slighltly easier solution(IMO):
To find
if .2n > .1(.5+n)
.2n>.05+.1n
.1n > .05
Stmt I
n<1/10
Multiply both sides by .1
.1n < .01
Therefore .1n<.05
SUFF
Stmt II
n>.01
Multiply both sides by .1
.1n > .001 (DONT KNOW IF ITS GOING TO BE GREATER THAN .05 OR NOT)
INSUFF
To find
if .2n > .1(.5+n)
.2n>.05+.1n
.1n > .05
Stmt I
n<1/10
Multiply both sides by .1
.1n < .01
Therefore .1n<.05
SUFF
Stmt II
n>.01
Multiply both sides by .1
.1n > .001 (DONT KNOW IF ITS GOING TO BE GREATER THAN .05 OR NOT)
INSUFF












