# CAT Questions | CAT Arithmetic

###### CAT Quantitative Aptitude | CAT Pipes and Cisterns; Time and Work

CAT Pipes and Cisterns Problems ; Time and Work Questions are one of the most commonly tested topics in CAT exam. One can usually expect 2-3 questions from these ideas in the CAT exam. CAT questions from Pipes and Cisterns; Time and Work will test the application of concepts than just formulas. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.

1. #### CAT Pipes and Cisterns: Fill Pipes and Drain Pipes

A drain pipe can drain a tank in 12 hours, and a fill pipe can fill the same tank in 6 hours. A total of n pipes – which include a few fill pipes and the remaining drain pipes – can fill the entire tank in 2 hours. How many of the following values could ‘n’ take?

1. 24
2. 16
3. 33
4. 13
5. 9
6. 8

1. 3
2. 4
3. 2
4. 1

2. #### CAT Pipes and Cisterns: Three Pipes

Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. How long will it take C alone to fill the tank ?

1. 18
2. 36
3. 27
4. 24

3. #### CAT Pipes and Cisterns: Three Pipes Tough

Pipe A fills a tank at the rate of 100lit/min, Pipe B fills at the rate of 25 lit/min, pipe C drains at the rate of 50 lit/min. The three pipes are kept open for one minute each, one after the other. If the capacity of the tank is 7000 liters, how long will it take to fill the tank if

1. A is kept open first, followed by B and then C.
2. B first, followed by A, and then C.
3. B first, followed by C, and then A.
1. 279.25 mins, 280 mins and 280 mins
2. 280 mins, 280 mins and 279.25 mins
3. 279 mins, 280 mins and 279.25 mins
4. 277 mins, 277 mins 45 sec and 279 mins

4. #### CAT Pipes and Cisterns: Time and Work

4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete the same task?

1. 30 to 33.6 days
2. 32 to 35 days
3. 33.6 to 35 days
4. 30 to 35 days

5. #### CAT Pipes and Cisterns: Fill pipes and drain pipes

A fill pipe can fill a tank in 20 hours, a drain pipe can drain a tank in 30 hours. If a system of n pipes (fill pipes and drain pipes put together) can fill the tank in exactly 5 hours, which of the following are possible values of n (More than one option could be correct)?

1. 32
2. 54
3. 29
4. 40
1. 1 and 2 only
2. 1 and 3 only
3. 2 and 4 only
4. 2 and 3 only

6. #### CAT Pipes and Cisterns: Time and Work - Algebra

Consider three friends A, B and C who work at differing speeds. When the slowest two work together they take n days to finish a task. When the quickest two work together they take m days to finish a task. One of them, if he worked alone would take thrice as much time as it would take when all three work together. How much time would it take if all three worked together?

2. #### CAT 2017 Question Paper Slot 2 - Pipes & Cisterns

A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full?

1. 20
2. 30
3. 40
4. 45

3. #### CAT 2017 Question Paper Slot 2 - Work and Time

Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. If this amount is shared by them in proportion to their work, then Kamal's share, in rupees, is

1. 100
2. 200
3. 300
4. 400

4. #### CAT 2018 Question Paper Slot 1 - Work and Time

When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?

1. 16
2. 22
3. 20
4. 18

5. #### CAT 2018 Question Paper Slot 1 - Work and Time

Humans and robots can both perform a job but at different efficiencies. Fifteen humans and five robots working together take thirty days to finish the job, whereas five humans and fifteen robots working together take sixty days to finish it. How many days will fifteen humans working together (without any robot) take to finish it?

1. 40
2. 32
3. 36
4. 45

6. #### CAT 2018 Question Paper Slot 1 - Pipes & Cisterns

A tank is fitted with pipes, some filling it and the rest draining it. All filling pipes fill at the same rate, and all draining pipes drain at the same rate. The empty tank gets completely filled in 6 hours when 6 filling and 5 draining pipes are on, but this time becomes 60 hours when 5 filling and 6 draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on? [TITA]

7. #### CAT 2018 Question Paper Slot 2 - Pipes & Cisterns

A tank is emptied everyday at a fixed time point. Immediately thereafter, either pump A or pump B or both start working until the tank is full. On Monday, A alone completed filling the tank at 8 pm. On Tuesday, B alone completed filling the tank at 6 pm. On Wednesday, A alone worked till 5 pm, and then B worked alone from 5 pm to 7 pm, to fill the tank. At what time was the tank filled on Thursday if both pumps were used simultaneously all along?

1. 4 : 12 PM
2. 4 : 24 PM
3. 4 : 48 PM
4. 4 : 36 PM

8. #### CAT 2018 Question Paper Slot 2 - Work & Time

Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?

1. 12
2. 14.5
3. 13.5
4. 11

9. #### CAT 2018 Question Paper Slot 2 - Pipes & Cisterns

A water tank has inlets of two types A and B. All inlets of type A when open, bring in water at the same rate. All inlets of type B, when open, bring in water at the same rate. The empty tank is completely filled in 30 minutes if 10 inlets of type A and 45 inlets of type B are open, and in 1 hour if 8 inlets of type A and 18 inlets of type B are open. In how many minutes will the empty tank get completely filled if 7 inlets of type A and 27 inlets of type B are open? (TITA)

10. #### CAT 2019 Question Paper Slot 1 - Work, time

At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency?

1. 18
2. 12
3. 24
4. 36

11. #### CAT 2019 Question Paper Slot 1 - Work, time

Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days? [TITA]

12. #### CAT 2019 Question Paper Slot 2 - Work & time

Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done 10% of the job, then in how many days was the job done?

1. 13
2. 12
3. 15
4. 14

13. #### CAT 2019 Question Paper Slot 2 - Work & time

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime? [TITA]

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