Question : If 7 people working 4 hours a day can complete a task in 14 days. The number of days taken by 12 people working 8 hours a day will be:
Option 1: $5 \frac{1}{8}$ days
Option 2: $8$ days
Option 3: $4 \frac{1}{12}$ days
Option 4: $7 \frac{1}{4}$ days
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Correct Answer: $4 \frac{1}{12}$ days
Solution : Total work = Number of people × Number of hours per day × Number of days $= 7 \times 4 \times 14 = 392$ Let $x$ be the number of days required. So, $392 = 12\times 8\times x$ $\therefore x = \frac{392}{96} = 4\frac{1}{12}$ days Hence, the correct answer is $4\frac{1}{12}$ days.
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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 : If 7 men working 7 hours a day for each of 7 days produce 7 units of work, then the units of work produced by 5 men working 5 hrs a day for each of 5 days is:
Option 1: $\frac{25}{343}$
Option 2: $\frac{125}{49}$
Option 3: $\frac{49}{125}$
Option 4: $\frac{343}{25}$
Question : If 4 men or 6 women can do a piece of work in 12 days, working 7 hours a day. How many days will it take to complete a work twice as large, with 10 men and 3 women working together 8 hours a day?
Option 1: 6 days
Option 2: 7 days
Option 3: 8 days
Option 4: 10 days
Question : Rama alone can do a work in 5 days working 4 hours a day. Seema alone can do the same work in 3 days working 10 hours a day. How many hours do they need to work together in a day to complete the same work in 6 days?
Option 1: 1 hour
Option 2: 3 hours
Option 3: 5 hours
Option 4: 2 hours
Question : The arrangement of the fractions $\frac{4}{3}, -\frac{2}{9}, -\frac{7}{8}, \frac{5}{12}$ in ascending order is _____.
Option 1: $–\frac{7}{8}, –\frac{2}{9}, \frac{5}{12}, \frac{4}{3}$
Option 2: $–\frac{7}{8}, –\frac{2}{9}, \frac{4}{3}, \frac{5}{12}$
Option 3: $–\frac{2}{9}, –\frac{7}{8}, \frac{5}{12}, \frac{4}{3}$
Option 4: $–\frac{2}{9}, –\frac{7}{8}, \frac{4}{3}, \frac{5}{12}$
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