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

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

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New post 24 Feb 2017, 02:17
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

55% (01:10) correct 45% (01:50) wrong based on 60 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
[Reveal] Spoiler: OA

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Re: What is the scope including 1/11+1/12+1/13+......+1/20? [#permalink]

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New post 24 Feb 2017, 03:09
1/11 *10 = 10/11 if there were all 1/11
1/20 * 10 = 1/2 if numbers were all 1/20

so scope is 1/2 - 1

answer is E

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Re: What is the scope including 1/11+1/12+1/13+......+1/20? [#permalink]

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New post 26 Feb 2017, 21:33
==>The sum of consecutive reciprocal number sequence is decided by the first number and the last number. Thus, from
10/20=1/11+1/12+.....+1/20<1/11+1/12+.....+1/20<1/11+1/12+.....+1/20=10/11, you get 1/2=10/20<1/11+1/12+.....+1/20<10/11<1, which becomes 1/2~1.

Therefore, the answer is E.
Answer: E
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Re: What is the scope including 1/11+1/12+1/13+......+1/20? [#permalink]

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New post 27 Feb 2017, 11:42
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I rounded it out

1/10 + 1/10 + 1/10 + 1/15 + 1/15 + 1/15 + 1/15 + 1/20 + 1/20 + 1/20

which ends up being 43/60. This is way over 1/2 so the answer is E.

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Re: What is the scope including 1/11+1/12+1/13+......+1/20? [#permalink]

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New post 11 Sep 2017, 20:53
Here is another method.
Recognize that 1/11 is nothing but closer to ( 9 %) and 1/20 is 5%. So if all the numbers were 1/11 it would be closer to 90 % so the value of the set is bet 50 % to 90 % . Which is option E
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Re: What is the scope including 1/11+1/12+1/13+......+1/20?   [#permalink] 11 Sep 2017, 20:53
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