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22 Jul 2024, 01:30
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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:
25%
(medium)
Question Stats:
75% (01:16) correct
25%
(01:39)
wrong
based on 122
sessions
History
Date
Time
Result
Not Attempted Yet
How long will 20 men and 20 women take to complete work?
(1) 10 men and 5 women take 30 days to complete same work
(2) Women are twice as productive as men
(1) 10 men and 5 women take 30 days to complete same work
(2) Women are twice as productive as men
22 Jul 2024, 08:54
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Statement 1: 10 men and 5 women take 30 days to complete same work
Work rate of Men \(=\frac{1}{m}\)
Work rate of Women \(=\frac{1}{w}\)
Work done by men \(=\frac{10}{m}\)
Work done by women \(=\frac{5}{m}\)
\(\frac{10}{m}+\frac{5}{w}=\frac{1}{30}\)
NOT SUFFICIENT
Statement 2: Women are twice as productive as men
\(\frac{1}{w}=\frac{2}{m}\)
\(\frac{20}{m}+\frac{20}{w}=\frac{1}{x}\)
\(\frac{20}{m}+\frac{2*20}{m}=\frac{1}{x}\)
NOT SUFFICIENT
Combined:
\(\frac{10}{m}+\frac{5}{w}=\frac{1}{30}\)
\(\frac{10}{m}+\frac{10}{m}=\frac{1}{30}\)
\(\frac{1}{m}=\frac{1}{600}\)
\(\frac{20}{600}+\frac{2*20}{600}=\frac{1}{x}\)
\(x=10\)
SUFFICIENT
Answer is C
Work rate of Men \(=\frac{1}{m}\)
Work rate of Women \(=\frac{1}{w}\)
Work done by men \(=\frac{10}{m}\)
Work done by women \(=\frac{5}{m}\)
\(\frac{10}{m}+\frac{5}{w}=\frac{1}{30}\)
NOT SUFFICIENT
Statement 2: Women are twice as productive as men
\(\frac{1}{w}=\frac{2}{m}\)
\(\frac{20}{m}+\frac{20}{w}=\frac{1}{x}\)
\(\frac{20}{m}+\frac{2*20}{m}=\frac{1}{x}\)
NOT SUFFICIENT
Combined:
\(\frac{10}{m}+\frac{5}{w}=\frac{1}{30}\)
\(\frac{10}{m}+\frac{10}{m}=\frac{1}{30}\)
\(\frac{1}{m}=\frac{1}{600}\)
\(\frac{20}{600}+\frac{2*20}{600}=\frac{1}{x}\)
\(x=10\)
SUFFICIENT
Answer is C
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