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What is the scope including 1/21+1/12+1/13+......+1/30?

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What is the scope including 1/21+1/12+1/13+......+1/30? [#permalink]

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New post Updated on: 08 Jul 2016, 22:35
1
2
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (00:46) correct 29% (00:55) wrong based on 63 sessions

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What is the scope including 1/21+1/22+1/23+......+1/30?
A 1/6~1/5
B. 1/5~1/4
C. 1/4~1/3
D. 1/3~1/2
E. 1/2~1

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Originally posted by MathRevolution on 08 Jul 2016, 21:48.
Last edited by Vyshak on 08 Jul 2016, 22:35, edited 1 time in total.
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Re: What is the scope including 1/21+1/12+1/13+......+1/30? [#permalink]

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New post 08 Jul 2016, 22:39
1
If all the terms in the expression were 1/20 then value of the expression would be = 10/20 = 0.5
If all the terms in the expression were 1/30 then value of the expression would be = 10/30 = 1/3

Hence the value of the expression is greater than 1/3 but less than 1/2

Answer: D
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Re: What is the scope including 1/21+1/12+1/13+......+1/30? [#permalink]

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New post 11 Jul 2016, 18:21
The sum of sequence is determined by the first and the last number. So, 1/3=10/30<1/21+1/12+1/13+......+1/30<10/21<10/20=1/2. The correct answer is D
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Re: What is the scope including 1/21+1/12+1/13+......+1/30? [#permalink]

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New post 02 Aug 2017, 08:50
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Re: What is the scope including 1/21+1/12+1/13+......+1/30?   [#permalink] 02 Aug 2017, 08:50
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