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Which of the following is 6/7 times as far from 7/3 as is 17/6 from 2/

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Which of the following is 6/7 times as far from 7/3 as is 17/6 from 2/  [#permalink]

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New post 27 Feb 2018, 01:54
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E

Difficulty:

  55% (hard)

Question Stats:

56% (02:10) correct 44% (02:29) wrong based on 52 sessions

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[GMAT math practice question]

Which of the following is \(\frac{6}{7}\) times as far from \(\frac{7}{3}\) as is \(\frac{17}{6}\) from \(\frac{2}{3}\)?

\(A. \frac{88}{21}\)
\(B. \frac{21}{88}\)
\(C. \frac{77}{20}\)
\(D. \frac{20}{77}\)
\(E. \frac{78}{21}\)

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Re: Which of the following is 6/7 times as far from 7/3 as is 17/6 from 2/  [#permalink]

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New post 27 Feb 2018, 02:14
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MathRevolution wrote:
[GMAT math practice question]

Which of the following is \(\frac{6}{7}\) times as far from \(\frac{7}{3}\) as is \(\frac{17}{6}\) from \(\frac{2}{3}\)?

\(A. \frac{88}{21}\)
\(B. \frac{21}{88}\)
\(C. \frac{77}{20}\)
\(D. \frac{20}{77}\)
\(E. \frac{78}{21}\)



17/6 - 2/3 = 17-4/6 = 13/6

6/7 times of 13/6 = 6/7 x 13/6 = 13/7

now 6/7 times far from 7/3 as is from 17/6 from 2/3 = x - 13/7 = 7/3

7/3 + 13/7 = 49+39 /7 x 3= 88/21 ( LCM of 3 and 7 = 21)

(A) imo
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Re: Which of the following is 6/7 times as far from 7/3 as is 17/6 from 2/  [#permalink]

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New post 28 Feb 2018, 23:52
MathRevolution wrote:
[GMAT math practice question]

Which of the following is \(\frac{6}{7}\) times as far from \(\frac{7}{3}\) as is \(\frac{17}{6}\) from \(\frac{2}{3}\)?

\(A. \frac{88}{21}\)
\(B. \frac{21}{88}\)
\(C. \frac{77}{20}\)
\(D. \frac{20}{77}\)
\(E. \frac{78}{21}\)

I am not able to understand its language can anybody elaborate for me thanks in advance
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Re: Which of the following is 6/7 times as far from 7/3 as is 17/6 from 2/  [#permalink]

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New post 01 Mar 2018, 03:48
1
=>

We have \(|x – \frac{7}{3}| = (\frac{6}{7})|\frac{17}{6} – \frac{2}{3}|.\)
\(|x - \frac{7}{3}| = (\frac{6}{7})(\frac{13}{6})\)
\(x – \frac{7}{3} = ±(\frac{6}{7})(\frac{13}{6}) = ±\frac{13}{7}\)
\(x = ±\frac{13}{7} + \frac{7}{3}\)
\(x = \frac{(39 + 49)}{21} = \frac{88}{21}\) or \(x = \frac{(-39 + 49)}{21}=\frac{10}{21}\)

Therefore, the answer is A.

Answer: A
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Re: Which of the following is 6/7 times as far from 7/3 as is 17/6 from 2/   [#permalink] 01 Mar 2018, 03:48
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