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# Which of the following is less than the sum of the

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Senior Manager
Joined: 14 Jul 2006
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Which of the following is less than the sum of the [#permalink]

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20 Aug 2006, 01:16
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Which of the following is less than the sum of the reciprocal of integers from 91 to 100?

I.1/8
II.1/9
III.1/10
SVP
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20 Aug 2006, 01:40
At a first glance ...the answer is none of them

Because to have a common deniminator for all of these fractions (it would result in a very big in value deniminator ).
CEO
Joined: 20 Nov 2005
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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20 Aug 2006, 01:49
I think answer is III only.

Each of terms 1/91, 1/92........1/100 is less than 1/90 sum will be less than 10* 1/90 = 1/9.
Each of terms 1/91, 1/92........1/100 is greater than 1/100 sum will be greater than 10 * 1/100 = 1/10

Sum 1/10 < SUM < 1/9
Hence 1/10 is less than the sum.
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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