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nearest thousandth?

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nearest thousandth?

by sanju09 » Sat Oct 08, 2011 3:36 am
What is the approximation of 0.05/ (1 - 0.05) to the nearest thousandth?
(A) -1.000
(B) 0.048
(C) 0.053
(D) 0.100
(E) 1.250
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by shankar.ashwin » Sat Oct 08, 2011 3:41 am
0.05/0.95 = 1/19 (approx greater than 1/20 which is 0.05)
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by Abhishek009 » Sat Oct 08, 2011 5:09 am
sanju09 wrote:What is the approximation of 0.05/ (1 - 0.05) to the nearest thousandth?
(A) -1.000
(B) 0.048
(C) 0.053
(D) 0.100
(E) 1.250


(1 - 0.05) = 0.95


Now we have 0.05/0.95 => 5/95 =1/19


1/20 = 0.05

So 1/19 will be a bit less than 0.05 , out of the given options only 0.48 is more than 0.05 , so I will go with C , 0.053
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by sanju09 » Mon Oct 10, 2011 1:22 am
Abhishek009 wrote:
sanju09 wrote:What is the approximation of 0.05/ (1 - 0.05) to the nearest thousandth?
(A) -1.000
(B) 0.048
(C) 0.053
(D) 0.100
(E) 1.250


(1 - 0.05) = 0.95


Now we have 0.05/0.95 => 5/95 =1/19


1/20 = 0.05

So 1/19 will be a bit less than 0.05 , out of the given options only 0.48 is more than 0.05 , so I will go with C , 0.053
Sorry Abhishek009, but here your reasoning is a bit carelessly made. For two positive fractions of same numerator value, the fraction with less denominator value is greater than the other one. Right answer is [spoiler]C, a bit more than 0.05[/spoiler].
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by Bek » Tue Oct 11, 2011 2:21 pm
0.05/(1 - 0.05) = 0.05/(0.95)

since we know that 0.05/1 = 0.05

0.05/(0.95) > 0.05

the best answer is C) 0.053
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