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Twelve men are assigned a job to be finished in 30 days. After 10 days it…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET June 2023 (21.06.2023) Shift-II
Twelve men are assigned a job to be finished in 30 days. After 10 days it is observed that only one-sixth of the job is completed. How many extra men are required to complete the rest of the job within the scheduled time?
A20
B22
C18 ✓ Correct
D16
Correct answer: (C) 18 — Eighteen extra men are required, so the answer is 18.
Explanation
Eighteen extra men are required, so the answer is 18.
In 10 days 12 men complete one-sixth of the job.
So five-sixths of the job remains, to be done in the remaining 20 days.
Using men times days over work being constant, 12 times 10 over one-sixth equals total men times 20 over five-sixths.
This gives the total men needed as 30.
There are already 12 men, so the extra men needed are 30 minus 12.
That equals 18.

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