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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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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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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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27 Feb 2018, 01:54
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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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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Current Student Joined: 07 Jan 2016 Posts: 1081 Location: India GMAT 1: 710 Q49 V36 Re: Which of the following is 6/7 times as far from 7/3 as is 17/6 from 2/ [#permalink] ### Show Tags 27 Feb 2018, 02:14 1 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 Manager Joined: 23 Sep 2016 Posts: 232 Re: Which of the following is 6/7 times as far from 7/3 as is 17/6 from 2/ [#permalink] ### Show Tags 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 Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8229 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Which of the following is 6/7 times as far from 7/3 as is 17/6 from 2/ [#permalink] ### Show Tags 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 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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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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