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30 Jan 2026, 20:08
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
49% (03:06) correct
51%
(03:05)
wrong
based on 81
sessions
History
Date
Time
Result
Not Attempted Yet
A team of workers intended to finish a project in 15 days. However, with 15 workers leaving the team every day, the project was eventually completed by the end of the 20th day. How many workers were in the group at the project's outset?
A. 390
B. 480
C. 570
D. 660
E. 750
A. 390
B. 480
C. 570
D. 660
E. 750
31 Jan 2026, 23:31
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Let the number of workers initially be N.
As they intended to finish the project in 15 days, Total Work = 15N
Now, as the workers start leaving the team everyday, work done each day would be:
Day 1 - N
Day 2 - N-15
Day 3 - N-30
and so on...
Thus, the total work done = Sum (from k=0 to 19) (N-15k) = 20N - 15 * ((19*20)/2) = 20N - 2850 (as Sum (n) = n*(n+1)/2)
As the sum total of the work should be the same in both the cases:
15N = 20N - 2850
5N = 2850
Thus, N = 570
Hence, the correct answer is Option C - 570
Hope this helps!
As they intended to finish the project in 15 days, Total Work = 15N
Now, as the workers start leaving the team everyday, work done each day would be:
Day 1 - N
Day 2 - N-15
Day 3 - N-30
and so on...
Thus, the total work done = Sum (from k=0 to 19) (N-15k) = 20N - 15 * ((19*20)/2) = 20N - 2850 (as Sum (n) = n*(n+1)/2)
As the sum total of the work should be the same in both the cases:
15N = 20N - 2850
5N = 2850
Thus, N = 570
Hence, the correct answer is Option C - 570
Hope this helps!
