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A cistern can be filled separately by two pipes P and Q in 45 min and 35 min, respectively. A tap R at the bottom can empty the full cistern in 30 min. If the tap R is opened 7min after the two pipes P and Q are opened then after what time from the opening of pipe P and Q the cistern becomes full?

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Important Questions on Arithmetic

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 7

Vicky can do a job in 20 days, Ram in 30 days and Rahul in 60 days. If Vicky is helped by Ram and Rahul every 3rd day. How long will it take for them to complete the job?

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 8
Saket and Prakash take 7.5 days working together. However, if Saket and Prakash work individually to complete the equal amount of work, it takes them 20 days to complete the job. How long will Prakash alone take to do the job if Saket is more efficient than Prakash?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 9
Four machines A, B, C, and D are to be used for producing 10,000 units. Machine A alone can produce 50 units in a day, B is half as efficient as A, C is as efficient as A and D is twice as efficient as A. In how many days, would the work be complete if all the four machines start working together?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 10
In an organization, regular working day is of 8h and regular week is of 5 working days. A man is paid ₹ 3.20 per hours overtime. If he has earned ₹432 in 4 weeks, what is the total number of hours he worked in those 4 weeks?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 11
Tap A fills a tank in 20 min while C empties it at one-third the rate at which A fills it. At 12:00 noon, A and C are simultaneously started and when the tank is 50% full, tap A is turned off. At what time will the tank be empty?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 12
Two pipes X and Y can fill a tank in 6h and 9h, respectively. If they are turned on alternately for one hour each starting with Y, then what is the time taken to fill the tank?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 13
A 10 hectare field is reaped by 2men,3 women, and 4 boys in 10 days. If a man, a woman and a boy work in the ratio of 5:4:2, then in how much time 6 men, 4 women and 7 boys reap a 16 hectare field?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 14
Four plumbers had to repair 364 taps. At the end of 3 days working 7h per day they had repaired 168 taps. In order to speed up the work, three more plumbers were added who also worked 7h daily. If efficiency of each of the plumbers is same, how many additional days would it take to complete the task?