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Earn 100

Pipes P and Q can fill a tank in minutes and minutes respectively. Both are kept open for X minute(s) and then Q is closed and P fills the rest of the tank in minutes. The time X after which Q was closed is
(a) minutes
(b) minutes
(c)minutes
(d) minutes
(e) minutes

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Important Questions on Quantitative Skills
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Pipe X pours a mixture of acid and water, and pipe Y pours pure water into a bucket. After hour, the bucket got filled and the concentration of acid in the bucket was noted to be . If pipe Y was closed after minutes and pipe X continued to pour the mixture, concentration of acid in the bucket after hour would have been . What is the ratio of acid to the water in the mixture coming out of pipe X?

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Two taps P and Q can fill a cistern in minutes and minutes respectively. If both the taps are opened together, how long it take to fill the cistern?

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There are workers who have been recruited to dig a long tunnel. It takes one worker to dig of tunnel in a week. How many more workers are needed to complete the work in weeks?

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If unskilled workers can do a work in days of hours each, how many skilled workers can do more work in days of hours each? (Assume that it takes skilled workers to do the work of unskilled workers.)

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Ajay finishes a work in certain number of days. He got two assistants who work as fast as him. If all three work together, then in what fraction of time would they finish the job as compared to Ajay working alone?

MEDIUM
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A and B can do a piece of work in days, B and C can do it in days, A and C can do the work in days. Arrange the three in decreasing order of productivity.

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Nishit works twice as fast as Pradeep. Nishit and Pradeep together can work three times faster than Bhuvan. If Nishit, Pradeep and Bhuvan together work on a job, in what ratio should they share the earnings?
Note: The ratio of individual share of earnings for all 3 workers is the same as the ratio of their relative efficiencies.

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FDB Builders was awarded the contract to construct a bridge. The company employed workers to finish the work in days. When four-fifths of the work was completed in days, the company wanted to reduce the number of workers. How many workers can be let go without affecting the completion schedule of the construction of the bridge?
