A tank can be filled with water by two pipes A and B togethe...

A tank can be filled with water by two pipes A and B together in 36 minutes. If the pipe B was stopped after 30 minutes, the tank is filled in 40 minutes. The pipe B can alone fill the tank in:

Course Name: Quantitative Aptitude

1] 45 minutes
2] 60 minutes
3] 75 minutes
4] 90 minutes

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1 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
10 Discuss	A is thrice as good a workman as B and so takes 60 days less than B for doing a job. The time in which they can do the job together is = ? 1] $22\frac{1}{2}{ \text{days}}$ 2] 30 days 3] 45 days 4] 60 days Solution
2 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
3 Discuss	40 men can complete a piece of work in 18 days. Eight days after they started working together, 10 more men joined them. How many days will they now take to complete the remaining work ? 1] 6 days 2] 8 days 3] 10 days 4] 12 days Solution
4 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
5 Discuss	A can do a piece of work in 20 days and B in 15 days. With help of C, they finish the work in 5 days. In how many days C alone can do the same work ? 1] 5 days 2] 6 days 3] 10 days 4] 12 days Solution
6 Discuss	Two men undertake to do a piece of work for Rs. 1400. The first man alone can do this work in 7 days while the second man alone can do this work in 8 days. If they working together complete this work in 3 days with the help of a boy, how should the money be divided ? 1] Rs. 600, Rs. 550, Rs. 250 2] Rs. 600, Rs. 525, Rs. 275 3] Rs. 600, Rs. 500, Rs. 300 4] Rs. 500, Rs. 525, Rs. 375 Solution
7 Discuss	If p men working p hours per day for p days produce p units of work, then the units of work produced by n men working n hours a day for days is = ? 1] $\frac{{{{ \text{p}}^{ \text{2}}}}}{{{{ \text{n}}^{ \text{2}}}}}$ 2] $\frac{{{{ \text{p}}^{ \text{3}}}}}{{{{ \text{n}}^{ \text{2}}}}}$ 3] $\frac{{{{ \text{n}}^{ \text{2}}}}}{{{{ \text{p}}^{ \text{2}}}}}$ 4] $\frac{{{{ \text{n}}^{ \text{3}}}}}{{{{ \text{p}}^{ \text{2}}}}}$ Solution
8 Discuss	Two men can do a piece of work in x days. But y women can do that in 3 days. Then the ratio of the work done by 1 man and 1 woman is ? 1] 3y : 2x 2] 2x : 3y 3] x : y 4] 2y : 3x Solution
9 Discuss	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 ? 1] 6 days 2] 7 days 3] 8 days 4] 10 days Solution
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