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Updated on: 18 Aug 2017, 23:45
Originally posted by MathRevolution on 24 Jan 2016, 16:48.
Last edited by abhimahna on 18 Aug 2017, 23:45, edited 2 times in total.
Last edited by abhimahna on 18 Aug 2017, 23:45, edited 2 times in total.
Edited the question
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:30) correct
31%
(01:58)
wrong
based on 246
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(1/33)+(1/34)+……+(1/63)+(1/64) is including in which of the following ranges?
A. (1/6)~(1/5)
B. (1/5)~(1/4)
C. (1/4)~(1/3)
D. (1/3)~(1/2)
E. (1/2)~1
A. (1/6)~(1/5)
B. (1/5)~(1/4)
C. (1/4)~(1/3)
D. (1/3)~(1/2)
E. (1/2)~1
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
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Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
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24 Jan 2016, 16:57
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MathRevolution
The given sequence will have a sum between 32/64 and 32/33 as shown below.
Number of terms in the given series = 32.
The lowest term is 1/64 , the largest being 1/33.
Thus, the sum of the given series will be more than
1/64 + 1/64.....1/64 (32 times)
---> 32*(1/64) = 32/64 = 1/2 and
less than 1/33 + 1/33...... 1/33 (32 times)
---> 32*(1/33) = 32/33 = 1 (approx)
E is thus the correct answer.
General Discussion
26 Jan 2016, 19:14
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(1/33)+(1/34)+……+(1/63)+(1/64) is including in which of the following ranges?
A. (1/6)~(1/5)
B. (1/5)~91/4)
C. (1/4)~(1/3)
D. (1/3)~(1/2)
E. (1/2)~1
==> The sum of consecutive reciprocal numbers is determined by the first and the last terms. Also, the number of franctions is 64-33+1=32. Then, if S=(1/33)+(1/34)+……+(1/63)+(1/64), it becomes 32/64<S<32/33, and 1/2=32/64<S<32/33<1 -> 1/2<S<1. Therefore, the answer is E.
A. (1/6)~(1/5)
B. (1/5)~91/4)
C. (1/4)~(1/3)
D. (1/3)~(1/2)
E. (1/2)~1
==> The sum of consecutive reciprocal numbers is determined by the first and the last terms. Also, the number of franctions is 64-33+1=32. Then, if S=(1/33)+(1/34)+……+(1/63)+(1/64), it becomes 32/64<S<32/33, and 1/2=32/64<S<32/33<1 -> 1/2<S<1. Therefore, the answer is E.
