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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2512
Given Kudos: 1060
GPA: 3.39
If S is the sum of the reciprocals of the consecutive integers from 91
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09 Apr 2022, 02:55
09 Apr 2022, 02:55
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Question Stats:
57% (01:54) correct
42% (01:28) wrong based on 7 sessions
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If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?
I. 1/8
II. 1/9
III. 1/10
A. None
B. I only
C. III only
D. II and III only
E. I, II, and III
I. 1/8
II. 1/9
III. 1/10
A. None
B. I only
C. III only
D. II and III only
E. I, II, and III
Re: If S is the sum of the reciprocals of the consecutive integers from 91
[#permalink]
10 Apr 2022, 23:53
10 Apr 2022, 23:53
2
Quote:
If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?
There are 10 consecutive integers from 91 to 100, inclusive
If all 10 integers be 90, then sum of the reciprocals of the consecutive integers = 1/90 *10 = 1/9
If all 10 integers be 100, then sum of the reciprocals of the consecutive integers = 1/100 *10 = 1/10
This means, sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, lies between 1/10 and 1/9
1/10 < S <1/9
Hence, 1/10 is less than S
IMO C
Re: If S is the sum of the reciprocals of the consecutive integers from 91
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19 Dec 2025, 02:09
19 Dec 2025, 02:09
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