Exams › IBPS PO › Quantitative Aptitude

Directions (74-78): Read the following information carefully and answer the question. x women can complete a piece of work in 2y days. 1.5x men can complete the same work in y days, while 2x children can complete the same work in 3y days. 2 women, 8 children and 8 men together can complete the same work in 22\(\frac{1}{2}\) days. 9 men can complete the same work in \((y + 20)\) days. What is the value of y?

1. 14
2. 18
3. 20
4. 16

Correct answer: 16

Solution

Let total work be 1. From the given completion times, the daily work rates of women, men and children can be expressed in terms of x and y. The combined rate of 2 women, 8 children and 8 men equals \(1/22.5\), which gives an equation in y after substituting the individual rates. Solving the equation yields y = 16.

Related IBPS PO Quantitative Aptitude questions

• The ratio of work done by 30 women to the work done by 25 men in the same time is 5:6. If 9 women and 10 men can finish a work in 3 \(\tfrac{1}{13}\) days, then how many women can finish the work in 4.5 days?
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• November: Each flat is supplied by a tap with a flow rate of 250 L/h, and only 50% of the flats are occupied in November. The water tank provides continuous water supply to these taps throughout the month. December: In this month, 30 flats are occupied and the tank gets emptied after 4\(\tfrac{1}{6}\) days. The flow rate from one tap in December is A% more or less than the flow rate in November. January: The flow rate of water from the taps is the same as in November, and the tank gets emptied after supplying water to the building for 100 hours. The number of flats occupied in January is B%. In November, how many times does the tank need to be filled?
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• Directions (55–57): Read the following passage carefully and answer the questions given below. $p$ men can do a work in $q$ days and $q$ women can do the same work in $p$ days. If 20 men and 16 women can do the work together, they can complete the whole work in $53\tfrac{1}{3}$ days. 20 men and 24 women started working together and they did the work for $0.6x$ days, and $y$ boys did the remaining work in $0.45x$ days. If the whole work is completed in $x$ days by $y$ boys, then find the value of $x$.
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