Prelims 2022 · CSAT / Quantitative Aptitude · Question 57
24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?
Answer
Data is inadequate to draw any conclusion
- Let one man's 1-day work be m and one woman's 1-day work be w. Then total work = 30(24m + 12w).
- For 12 men + 24 women, time required = 30(24m + 12w) / (12m + 24w) = 60(m + 0.5w)/(m + 2w).
- This depends on the unknown relation between m and w. If men and women are equally efficient, time = 30 days; if men are more efficient, time is more than 30 days; if women are more efficient, time is less than 30 days.
- (a) Possible in one special case only, not निश्चित. Verdict: Not sufficient.
- (b) Possible if a man is more efficient than a woman. Verdict: Not always true.
- (c) The time may be less than or more than 30 days depending on efficiencies. Verdict: Factually possible, but the question asks for a definite conclusion.
- (d) Since relative efficiencies are not given, no definite conclusion can be drawn. Verdict: Correct.