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15 Feb 2023, 00:09
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C
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Difficulty:
55%
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Question Stats:
60% (01:36) correct
40%
(01:48)
wrong
based on 578
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The sum of the reciprocals of the 5 consecutive integers from 16 to 20 is closest to which of the following ?
A. 1/2
B. 1/3
C. 1/4
D. 1/5
E. 1/6
A. 1/2
B. 1/3
C. 1/4
D. 1/5
E. 1/6
02 Mar 2023, 03:44
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Here is my approach
The smallest value would be 1/20*5=5/20=1/4
The average/middle value would be 1/18*5=5/18
Both are closer to 1/4 than any other value.
similarly the average of the largest+ave. of smallest value would be (5/16+5/20)/2=45/160 which is closest to 1/4
Correst answer is 1/4(C)
The smallest value would be 1/20*5=5/20=1/4
The average/middle value would be 1/18*5=5/18
Both are closer to 1/4 than any other value.
similarly the average of the largest+ave. of smallest value would be (5/16+5/20)/2=45/160 which is closest to 1/4
Correst answer is 1/4(C)
samarpan.g28
17 Dec 2023, 13:48
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1/16 = 0.0625. Starting from 1/17 till 1/19, the approx value of each is ~0.05 and 1/20 = 0.05. Therefore, 0.0625+(3*0.05)+0.05 = 0.2625 which is close to 1/4 = 0.25 (C).
