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30 Jun 2022, 10:06
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
57% (02:57) correct
43%
(02:33)
wrong
based on 97
sessions
History
Date
Time
Result
Not Attempted Yet
A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?
(a) 165
(b) 175
(c) 80
(d) 85
(e) None of these
(a) 165
(b) 175
(c) 80
(d) 85
(e) None of these
30 Jun 2022, 10:11
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Iotaa
Let initially there were x men and each man can do 1 unit work in one day. As the work was to be completed in 8 days, so the total work is 8x.
Now every day, 10 workers dropped out. Hence we have
8x = x + (x – 10) + ( x – 20) ……. + (x – 110) = 12 (x – 55)
=>8x = 12x – 660
=>4x = 660
=>x = 165
Hence, option a.
General Discussion
ashishpathak
Joined: 01 Jul 2021
Last visit: 07 Feb 2025
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Location: India
Schools: ISB '25 (A)
GMAT 1: 620 Q42 V34
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WE:Military Officer (Aerospace and Defense)
01 Jul 2022, 19:02
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Let there be 120 units of work to be done as per earlier plan with 8 days 15 units were planned per day .Howwever actually with 12 days that the work done was 10 units per day.
With this information if we multiply the number of men initially planned with 8 we will have total units of work planned and the same will be divisable by 12.
Trying the answer choices given only 165 confirms hence A.
Is this approach correct always happy to correct
Posted from my mobile device
With this information if we multiply the number of men initially planned with 8 we will have total units of work planned and the same will be divisable by 12.
Trying the answer choices given only 165 confirms hence A.
Is this approach correct always happy to correct
Posted from my mobile device
