Question : 3 men or 5 women can do a work in 57 days. In how many days can 9 men and 4 women do that same work?
Option 1: 16 days
Option 2: 18 days
Option 3: 14 days
Option 4: 15 days
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Correct Answer: 15 days
Solution : According to the question, 3 men = 5 women 1 man = $\frac{5}{3}$ women 9 men = $9 \times \frac{5}{3}$ women = 15 women Now the total work is done by = 15 women and 4 women = 19 women Let the total work be completed by 19 women in $x$ days. We know that 5 women can complete the work in 57 days. $M_1D_1= M_2D_2$ Where $M_1$ and $M_2$ are women and $D1$ and $D_2$ are days. $⇒5 \times 57= 19 \times x$ $⇒x = \frac{5 \times 57}{19} = 15$ days. Hence, the correct answer is 15 days.
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Question : 4 men and 7 women can do work in 8 days. 7 men and 4 women can do the same work in 5 days. Find the number of days in which 8 women can finish the work.
Option 1: 60 days
Option 2: 55 days
Option 3: 40 days
Option 4: 45 days
Question : 4 men and 8 women complete a job in 10 days and 5 men and 24 women complete the same work in 4 days. In how many days will 1 man and 1 woman complete the same work?
Option 1: $63 \frac{1}{3}$ days
Option 2: $69 \frac{7}{9}$ days
Option 3: $67 \frac{1}{3}$ days
Option 4: $62 \frac{2}{9}$ days
Question : 30 women working 5 hours a day can complete a work in 18 days, In how many days will 21 women working 8 hours a day complete the same work?
Option 1: $18 \frac{7}{13}$ days
Option 2: $17 \frac{11}{13}$ days
Option 3: $16 \frac{1}{14}$ days
Option 4: $13 \frac{3}{14}$ days
Question : A can finish a work in 7 days. B can finish the same work in 9 days. The number of days required to finish the same work by both of them together is:
Option 1: $1\frac{15}{16}$
Option 2: $2\frac{15}{16}$
Option 3: $3\frac{15}{16}$
Option 4: $4\frac{15}{16}$
Question : 16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will it take them to complete the remaining work?
Option 1: 4
Option 2: 6
Option 3: 8
Option 4: 10
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