A and B working separately can do a piece of work in 9 and 1...

A and B working separately can do a piece of work in 9 and 15 days respectively. If they work for a day alternately, with A beginning, then the work will be completed in:

Course Name: Quantitative Aptitude

1] 9 days
2] 10 days
3] 11 days
4] 12 days

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1 Discuss	16 men can finish a piece of work in 49 days. 14 men started working and 8 days they could finish certain amount of work. If it is required to finish the remaining work in 24 days. How many more men should be added to the existing workforce ? 1] 21 2] 28 3] 16 4] 14 Solution
10 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
2 Discuss	Working 5 hours a day, A can Complete a work in 8 days and working 6 hours a day, B can complete the same work in 10 days. Working 8 hours a day, they can jointly complete the work in: 1] 3 days 2] 4 days 3] 4.5 days 4] 5.4 days Solution
3 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
4 Discuss	Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. Another pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is also opened. The tank filled up in: 1] 39 min. 2] 46 min 3] 40 min. 4] 45 min. Solution
5 Discuss	Anuj and Manoj can together paint their house in 30 days. After working for 20 days, Anuj has to go out and Manoj finished the remaining working the next 30 days. If Manoj had gone away after 20 days instead of Anuj, then Anuj would have completed the remaining work in ? 1] 15 days 2] 20 days 3] 25 days 4] 35 days Solution
6 Discuss	18 men can complete a piece of work in 63 days. 9 women take 189 days to complete the same piece of work. How many days will 4 men, 9 women and 12 children together take to complete the piece of work if 7 children alone can complete the piece of work in 486 days ? 1] 54 days 2] 63 days 3] 76 days 4] 81 days 5] None of these Solution
7 Discuss	A man and a boy received Rs. 800 as wages for 5 days for the work they did together. The man's efficiency in the work was thrice times that of the boy. What are the daily wages of the boy? 1] Rs. 76 2] Rs. 56 3] Rs. 44 4] Rs. 40 Solution
8 Discuss	8 men can complete a piece of work in 20 days. 8 women can complete the same work in 32 days. In how many days will 5 men and 8 women together complete the same work ? 1] 10 days 2] 12 days 3] 14 days 4] 16 days 5] None of these Solution
9 Discuss	A can do half of a piece of work in 1 day,where B can do full. B can do half the work as C in 1 day. The ratio of their efficiencies of work is = ? 1] 1 : 2 : 4 2] 2 : 1 : 4 3] 4 : 2 : 1 4] 2 : 4 : 1 Solution
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