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19^2 + 19/20=

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Status: Preparing for the GMAT
Joined: 02 Nov 2016
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19^2 + 19/20= [#permalink]

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New post 25 Apr 2017, 10:51
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

97% (00:19) correct 3% (01:11) wrong based on 60 sessions

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\(\frac{19^2 + 19}{20}\)=

A. 19/10
B. 57/20
C. 19
D. 38
E. 361
[Reveal] Spoiler: OA

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Re: 19^2 + 19/20= [#permalink]

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New post 25 Apr 2017, 10:58
Expert's post
Top Contributor
SajjadAhmad wrote:
\(\frac{19^2 + 19}{20}\)=

A. 19/10
B. 57/20
C. 19
D. 38
E. 361


Notice that we can factor a 19 from the numerator. That is, 19² + 19 = 19(19 + 1)

So, we get: (19² + 19)/20 = [19(19 + 1)]/20
= 19(20)/20
= 19

Answer:
[Reveal] Spoiler:
C


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Re: 19^2 + 19/20= [#permalink]

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New post 25 Apr 2017, 11:14
Factoring the numerator: 19(19+1)
20

19(20)
20

the 20's cancel and 19 is left. Answer choice "C".
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Re: 19^2 + 19/20=   [#permalink] 25 Apr 2017, 11:14
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