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# What is the scope including 1/11+1/12+1/13+......+1/20?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 5073
GMAT 1: 800 Q59 V59
GPA: 3.82
What is the scope including 1/11+1/12+1/13+......+1/20? [#permalink]

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24 Jul 2016, 03:09
Expert's post
2
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Difficulty:

35% (medium)

Question Stats:

75% (00:45) correct 25% (01:34) wrong based on 71 sessions

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What is the scope including 1/11+1/12+1/13+......+1/20?
A 1/6~1/5
B. 1/5~1/4
C. 1/4~1/3
D. 1/3~1/2
E. 1/2~1

*An answer will be posted in 2 days.
[Reveal] Spoiler: OA

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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 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Board of Directors Status: Stepping into my 10 years long dream Joined: 18 Jul 2015 Posts: 3252 Re: What is the scope including 1/11+1/12+1/13+......+1/20? [#permalink] ### Show Tags 24 Jul 2016, 05:29 MathRevolution wrote: What is the scope including 1/11+1/12+1/13+......+1/20? A 1/6~1/5 B. 1/5~1/4 C. 1/4~1/3 D. 1/3~1/2 E. 1/2~1 *An answer will be posted in 2 days. For Maximum value : It should be less than 1/11 + 1/11 +1/11... 10 times = 10/11 ~ 1 For Minimum Value : It should be greater than 1/20+ 1/2-+ 1/20 .. 10 times = 10/20 = 1/2. Thus, the answer should lie between 1/2 and 1. Correct ans : E. _________________ How I improved from V21 to V40! ? How to use this forum in THE BEST way? Intern Joined: 08 Mar 2016 Posts: 13 Re: What is the scope including 1/11+1/12+1/13+......+1/20? [#permalink] ### Show Tags 25 Jul 2016, 11:38 1 This post was BOOKMARKED If you want a more precise answer: You know there are 10 numbers and first value is $$\frac{1}{11}$$ and last value is $$\frac{1}{20}$$ So $$Avg = \frac{First + Last}{2} = \frac{31}{440}$$ Then $$Sum = Avg * n = \frac{31}{440}*10 =\frac{31}{44} \approx{\frac{3}{4}}$$ Answer E. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 5073 GMAT 1: 800 Q59 V59 GPA: 3.82 Re: What is the scope including 1/11+1/12+1/13+......+1/20? [#permalink] ### Show Tags 25 Jul 2016, 19:32 The sum of a sequence of reciprocals is determined by the first and the end term. So, since 1/2=10/20<1/11+1/12+1/13+......+1/20<10/11<10/10=1, the correct answer is E. _________________ 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 3 month Online Course"
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Re: What is the scope including 1/11+1/12+1/13+......+1/20? [#permalink]

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07 Oct 2017, 03:00
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Re: What is the scope including 1/11+1/12+1/13+......+1/20?   [#permalink] 07 Oct 2017, 03:00
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