A and B together can do a job in 2 days; B and C can do it i...

A and B together can do a job in 2 days; B and C can do it in 4 days; A and C in ${ \text{2}}\frac{2}{5}$ days. The number of days required for A to do the job alone is = ?

Course Name: Quantitative Aptitude

1] 1
2] 3
3] 6
4] 12

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1 Discuss	If 10 men or 20 boys can make 260 mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20 days? 1] 260 2] 240 3] 280 4] 520 Solution
10 Discuss	Three taps A, B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it? 1] 16 minutes 2] 24 minutes 3] 32 minutes 4] 40 minutes Solution
2 Discuss	Madhu takes twice as much time as Uma to complete a work and Rahul does it in the same time as Madhu and Uma together. If all three working together can finish the work in 6 days, then the time taken by Madhu to finish the work is = ? 1] 12 days 2] 14 days 3] 36 days 4] 40 days Solution
3 Discuss	At a Tech Pvt Ltd. there are some engineering students employed as trainee engineers, belong to two eminent institutions of India. One group belongs to IIT and another to NIT. Each student of IIT works for 10 hours a day till 60 days and each student of NIT works for 8 hours a day till 80 days on the two same project. The ratio of students of IIT and that of NIT is 4:5 respectively. Students of which institution is slower in work and by how much? 1] IITian is 20% less efficient 2] NITian is 33.33% less efficien 3] NIT is 25% less efficient 4] IIT is 33.33% less efficient 5] Cannot be determined Solution
4 Discuss	A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the wall ? 1] ${ \text{6}}\frac{1}{3}{ \text{ days}}$ 2] 7 days 3] ${ \text{7}}\frac{1}{3}{ \text{ days}}$ 4] ${ \text{13}}\frac{1}{3}{ \text{ days}}$ Solution
5 Discuss	A, B and C completed a work costing Rs. 1800. A work for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, how much amount will be received by A? 1] Rs. 800 2] Rs. 600 3] Rs. 900 4] Rs. 750 Solution
6 Discuss	A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in: 1] 5 days 2] 6 days 3] 10 days 4] 10* 1/2 days Solution
7 Discuss	A group of men decided to do a job in 4 days. But since 20 men dropped out every day, the job completed at the end of the 7th day. How many men were there at the beginning? 1] 240 2] 140 3] 280 4] 150 5] None of these Solution
8 Discuss	12 men can do a piece of work in 15 days and 20 women can do the same work in 12 days. In how many days can 5 men and 5 women complete the same work ? 1] ${ \text{20}}\frac{4}{7}{ \text{ days}}$ 2] ${ \text{2}}\frac{4}{7}{ \text{ days}}$ 3] ${ \text{20}}\frac{3}{7}{ \text{ days}}$ 4] 18 days Solution
9 Discuss	A, B and C can complete a work in 10, 12 and 15 days respectively. They started the work together. But A left the work 5 days before its completion. B also left the work 2 days after A left. In how many days was the work completed ? 1] 4 2] 5 3] 7 4] 8 Solution
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