# 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?

1. #### 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

2. #### 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

3. #### 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]

1. #### 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

2. #### 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

3. #### CAT 2017 Question Paper Slot 1 - Pipes & Cisterns

A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days. On Day 3, they are joined by another person of equal efficiency. Like this, everyday a new person with the same efficiency joins the work. How many days are required to complete the job? (TITA)

The Questions that follow, are from actual XAT papers. If you wish to take them separately or plan to solve actual XAT papers at a later point in time, It would be a good idea to stop here.

1. #### XAT 2020 Question Paper - QADI

X, Y, and Z are three software experts, who work on upgrading the software in a number of identical systems. X takes a day off after every 3 days of work, Y takes a day off after every 4 days of work and Z takes a day off after every 5 days of work.
Starting afresh after a common day off,
i) X and Y working together can complete one new upgrade job in 6 days
ii) Z and X working together can complete two new upgrade jobs in 8 days
iii) Y and Z working together can complete three new upgrade jobs in 12 days
If X, Y and Z together start afresh on a new upgrade job (after a common day off), exactly how many days will be required to complete this job?

1. 2 days
2. 3.5 days
3. 2.5 days
4. 4 days
5. 5 days

2. #### XAT 2018 Question Paper - QADI

Abdul, Bimal, Charlie and Dilbar can finish a task in 10, 12, 15 and 18 days respectively. They can either choose to work or remain absent on a particular day. If 50 percent of the total work gets completed after 3 days, then, which of the following options is possible?

1. Each of them worked for exactly 2 days.
2. Bimal and Dilbar worked for 1 day each, Charlie worked for 2 days and Abdul worked for all 3 days.
3. Abdul and Charlie worked for 2 days each, Dilbar worked for 1 day and Bimal worked for all 3 days.
4. Abdul and Dilbar worked for 2 days each, Charlie worked for 1 day and Bimal worked for all 3 days.
5. Abdul and Charlie worked for 1 day each, Bimal worked for 2 days and Dilbar worked for all 3 days.

The Questions that follow, are from actual IPMAT papers. If you wish to take them separately or plan to solve actual IPMAT papers at a later point in time, It would be a good idea to stop here.

1. #### IPMAT 2020 Sample Paper - IPM Rohtak Quants

Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.

1. $$frac{400}{23}\\$ hrs 2. $\frac{400}{27}\\$ hrs 3. $\frac{200}{23}\\$ hrs 4. $\frac{200}{27}\\$ hrs 2. #### IPMAT 2020 Sample Paper - IPM Rohtak Quants Work done by P in one day is double the work done by Q in one day and work done by Q in one day is thrice the work done by R in one day. If P, Q and R together can complete the work in 30 days then in how many days P alone can do the work? 1. 52 days 2. 42 days 3. 30 days 4. 50 days 3. #### IPMAT 2020 Question Paper - IPM Rohtak Quants In a factory there are three types of machines b1, b2, and b3 which produces 20%, 15%, and 32% of the total products respectively. Further, machines b1, b2, and b3 which produces 3%, 7%, and 2% defective products respectively. Find the percentage of non-defective products? 1. 46% 2. 30% 3. 53% 4. 64% 4. #### IPMAT 2020 Question Paper - IPM Rohtak Quants Imagine that there are four hundred and fifty nine managers in a hotel. If the number of managers is enlarged by 36, the expenses of the food increased by Rs. eighty one per day while the average spending per head decreased by one. Find the original spending of the hotel on food? 1. 7344 2. 7244 3. 7044 4. 7444 5. #### IPMAT 2020 Question Paper - IPM Indore Quants Three workers working together need 1 hour to construct a wall. The first worker, working alone, can construct the wall twice as fast at the third worker, and can complete the task an hour sooner than the second worker. Then, the average time in hours taken by the three workers, when working alone, to construct the wall is 1. $\frac{√33 + 4}{3}$ 2. $\frac{√33 + 5}{3}$ 3. $\frac{√33 + 6}{3}$ 4. $\frac{√33 + 7}{3}$ ###### Prepare for CAT 2022 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Online Coaching | CAT Arithmetic Videos On YouTube #### Other useful sources for Arithmetic Questions | Pipes Cisterns; Time and Work Sample Questions ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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