CAT Time & Work questions (2023–2025) — actual Quant questions with solutions

Teams A, B, and C consist of five, eight, and ten members, respectively such that the members within each team is equally productive. Working separately teams A , B and C can complete certain job in 40 hours , 50 hours and  4 hours respectively Two members from team A, three members from team B, and one member from team C together starts the work and the member from team C left the work after 23 hours. The number of additional member(s) required from team B , that would be required to replace the member from team C , to finish the job in next one hour is :

The rate of water flow through three pipes A, B and C are in the ratio 4 : 9 : 36. An empty tank can be filled by pipe A in 15 hours. If all  pipes are used simultaneously to fill up this empty tank, the time, in minutes, taken to fill up the tank entirely tank completely is nearest to :

Ankita is twice as efficient as Bipin, while Bipin is twice as efficient as Chandan. All three of them start together on a job, and Bipin leaves the job after 20 days. If the job got completed in 60 days, the number of days needed by Chandan to complete the job alone is

Arun, Varun and Tarun, if working alone, can complete a task in 24, 21, and 15 days, respectively. They charge Rs 2160, Rs 2400, and Rs 2160 per day, respectively, even if they are employed for a partial day. On any given day, any workers may or may not be employed to work. If the task needs to be completed in 10 days or less, then the minimum possible amount, in rupees, required to be paid for the entire task is

Renu would take 15 days working 4 hours per day to complete a certain task whereas Seema would take 8 days working 5 hours per day to complete the same task. They decide to work together to complete this task. Seema agrees to work fordouble the number of hours per day as Renu, while Renu agrees to work for double the number of days as Seema. If Renu works 2 hours per day, then the number of days Seema will work, is

Renu would take 15 days working 4 hours per day to complete a certain task whereas Seema would take 8 days working 5 hours per day to complete the same task. They decide to work together to complete this task. Seema agrees to work for double the number of hours per day as Renu, while Renu agrees to work for double the number of days as Seema. If Renu works 2 hours per day, then the number of days Seema will work is:

Amal and Vimal can complete a task in 150 days; Vimal and Sunil in 100. Work pattern alternates. Find total days to complete the task.

Sam alone does work in 20 days. Mohit is 2× Sam, 3× Ayna. They work alternately in pattern: Sam+Mohit, Sam+Ayna, Mohit+Ayna. What fraction of total work is done by Sam?

Rahul, Rakshita and Gurmeet, working together, would have taken more than 7 days to finish a job. On the other hand, Rahul and Gurmeet, working together would have taken less than 15 days to finish the job. However, they all worked together for 6 days, followed by Rakshita, who worked alone for 3 more days to finish the job. If Rakshita had worked alone on the job then the number of days she would have taken to finish the job, cannot be

Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only 60% of his usual work on a day, Suhani must do 150% of her usual work on that day to exactly make up for it. Then, the number of days required by the faster worker to complete the job working alone is

Pipes A and C are fill pipes while Pipe B is a drain pipe of a tank. Pipe B empties the full tank in one hour less than the time taken by Pipe A to fill the empty tank. When pipes A, Band C are turned on together, the empty tank is filled in two hours. If pipes B and C are turned on together when the tank is empty and Pipe B is turned off after one hour, then Pipe C takes another one hour and 15 minutes to fill the remaining tank. If Pipe A can fill the empty tank in less than five hours, then the time taken, in minutes, by Pipe C to fill the empty tank is