# Exams - CLAT

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One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?

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hours to complete job: fast pipe: f slow pipe: 1.25f together: 5 completed per hour: fast pipe: 1/f slow pipe: 1/1.25f together: 1/5 adding their labor: 1/f + 1/1.25f = 1/5 multiplying through by 5f: 5 + 5/1.25 = f 5 + 4 = f = 9 Then 1.25f = 11.25, so the slower pipe takes 11.25 hours.

What is the smallest ratio among the following?

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Find the mean, median, mode, and range for the following list of values - 13, 18, 13, 14, 13, 16, 14, 21, 13.

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Find the probability of a leap year having 53 Sundays.

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