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(1/5)^2 - 1/5*1/4 =

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New post 11 Feb 2014, 00:55
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

\((\frac{1}{5})^2-\frac{1}{5}*\frac{1}{4}=\)

(A) -1/20
(B) -1/100
(C) 1/100
(D) 1/20
(E) 1/5

Problem Solving
Question: 88
Category: Arithmetic Operations on rational numbers
Page: 73
Difficulty: 550


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New post 11 Feb 2014, 00:55

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Re: (1/5)^2 - 1/5*1/4 = [#permalink]

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New post 11 Feb 2014, 01:10
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Solution B

\(\frac{1}{5}*(\frac{1}{5} - \frac{1}{4})\)
\(\frac{1}{5}*(\frac{4}{20} - \frac{5}{20})\)
\(\frac{1}{5}*\frac{-1}{20}\)
\(\frac{-1}{100}\)
= Answer.

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New post 11 Feb 2014, 14:31
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PEMDAS

So we start with the exponent
1/25 - 1/5 * 1/4
Then multiplication
1/25 - 1/20
then subtract to get -5/500 = -1/100
B

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New post 13 Feb 2014, 17:18
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\(1)\). \(\frac{1}{5}^2- \frac{1}{5}*\frac{1}{4}\)

\(2)\). \(\frac{(20-25)}{500}\)

\(3)\). \(\frac{-5}{500}=\frac{-1}{100}\)

Right?!?!? :|

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New post 15 Feb 2014, 07:03

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Re: (1/5)^2 - 1/5*1/4 = [#permalink]

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New post 21 Mar 2014, 00:56
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Rewriting the equation as \(\frac{1}{25} - \frac{1}{20}\)

As numerator of both fractions is same (i.e 1) & denominator 25 > 20, we can easily predict that the result would be -ve

So options C, D, E are ruled out

LCM of 20 & 25 is 100, so option B stands out

Answer = \(\frac{-1}{100}\)
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New post 10 Apr 2016, 13:11
simplify the question (1/5)^2 - 1/5 * 1/4
1/25 - 1/20 = -1/100
correct answer option B

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Re: (1/5)^2 - 1/5*1/4 = [#permalink]

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New post 06 Jul 2016, 02:56
[quote="Bunuel"]The Official Guide For GMAT® Quantitative Review, 2ND Edition

\((\frac{1}{5})^2-\frac{1}{5}*\frac{1}{4}=\)

(A) -1/20
(B) -1/100
(C) 1/100
(D) 1/20
(E) 1/5

1/25 - 1/20= 4-5 / 100 = -1/ 100

B

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Re: (1/5)^2 - 1/5*1/4 = [#permalink]

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New post 14 Aug 2017, 15:20
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

\((\frac{1}{5})^2-\frac{1}{5}*\frac{1}{4}=\)

(A) -1/20
(B) -1/100
(C) 1/100
(D) 1/20
(E) 1/5


(1/5)^2 - 1/5 x 1/4

1/25 - 1/20 = 4/100 - 5/100 = -1/100

Answer: B
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Re: (1/5)^2 - 1/5*1/4 =   [#permalink] 14 Aug 2017, 15:20
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