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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
Posts: 281
Followers: 1

Kudos [?]: 0 [0], given: 0

Which of the following is less than the sum of the [#permalink]  20 Aug 2006, 00:16
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
Joined: 05 Jul 2006
Posts: 1516
Followers: 5

Kudos [?]: 126 [0], given: 39

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
Posts: 2910
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 19

Kudos [?]: 132 [0], given: 0

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.
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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