Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (08.12.2023) Shift-II
It takes 10 men to finish a work in 2 days. Four (4) men started to execute the work, but after one (1) day, 3 of them left. How many days will it take the lone man to finish the remaining work?
A12 days
B14 days
C15 days
D16 days ✓ Correct
Correct answer: (D) 16 days — The lone man will take 16 days, so that is the answer.
Explanation
★The lone man will take 16 days, so that is the answer.
★Ten men finish the work in 2 days, so the total work is 20 man-days.
★One man alone would take 20 days to do it all.
★In the first day, 4 men together do 4 man-days, which is one fifth of the work.
★So four fifths of the work remains, equal to 16 man-days.
★The lone man does 1 man-day per day, so he needs 16 days for the rest.
Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.
Shared by Mcqkart · via Mcqkart.in