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by Brent@GMATPrepNow » Wed Oct 09, 2013 8:49 am
SaraLotfy wrote:0.2% of (3/4)^2 * (160/10^-2)=

A)1.8 * 10^-3
B)1.8 * 10^-2
C)1.8
D)1.8 * 10
E)1.8 * 10^2
Let's rewrite each term as a fraction.

0.2% = 0.2/100 = 2/1000 = 1/500
(3/4)^2 = (3/4)(3/4) = 9/16
(160/10^-2) = 160/(1/100) = 16,000

So, 0.2% of (3/4)^2 * (160/10^-2) = (1/500)(9/16)(16,000)
simplify (9/16)(16,000) to get: = (1/500)(9000)
= 9000/500
= 90/5
= 18
= [spoiler](1.8)(10)[/spoiler]
= D

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by GMATGuruNY » Wed Oct 09, 2013 11:34 am
SaraLotfy wrote:0.2% of (3/4)^2 * (160/10^-2)=

A)1.8 * 10^-3
B)1.8 * 10^-2
C)1.8
D)1.8 * 10
E)1.8 * 10^2
The colored values below CANCEL:

0.2% * (3/4)² * (160/10^-2)

= .2/100 * 9/16 * 160 * 10²

= .2 * 9 * 10

= 2 * 9

= 18.

The correct answer is D.
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