Time and work - 1 || Quantitative Aptitude || CAT 2021 || 19 April

Two pipes A and B can fill a cistern in 120 minutes and 150 minutes respectively. There is also an outlet C . If all the three pipes are opened together, the cistern gets filled in 100 minutes. How much time will be taken by C to empty full tank?

Running at the same constant rate, 6 identical machines can produce a total of 180 bottles per hour. How many bottles could 15 such machines produce in 30 minutes?

Anil is twice as good a student as Bharat and is able to finish a work in 30 minutes less than Bharat’s time. Find the time in which both of them can finish the same work together?

Rajesh can check the quality of 1000 items in 5 hours and Rakesh can complete 75% of the same job in 3 hours. How much time is required for both of them to check 1300 items, if Rakesh stops checking after 2 hours ?

Prabul, Sumit and Ravi are assigned to complete the construction of building, which they can complete by working together in 14 days. Their efficiencies are in the ratio 1 : 3 : 4 respectively. After half of the work is completed, any one of them must be withdrawn due to a budget constraint. If their wages per day are in the ratio 2 : 4 : 5 respectively and the work is done at optimal cost, the number of days in which the remaining two persons can complete the construction of building

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

Karan, Vaishali and Nikhil are going to do some work. Karan can do the work in as much time as Vaishali and Nikhil can do while working together. Vaishali can do the work alone in 12 days more than the days in which Karan would do the work alone, while Nikhil can work twice as fast as Vaishali. If Rekha joins the work on the second day and the work is finished on that day itself, find out how many days would Rekha and Nikhil take to complete the whole work by themselves?

One Bakery has to make 810 cakes and another one 900 cakes during the same period of time. In the first bakery, the order was ready 3 days in advance, whereas in the second bakery, 6 days in advance. How many cakes did each bakery make a day if the second bakery made 21 cakes more a day than the first?