UG-CLAT entrance exam Question Bank Solutions for Mathematics

A can do a piece of work in 20 days and B can do the same work in 15 days. How long will they take to finish the work, if both work together?

A can complete a piece of work in 18 days and B can complete the same work in half time taken by A. Then, working together, what part of the same work they can complete in a day?

A and B together can do a piece of work in 12 days, while B alone can finish it in 30 days. A alone can finish the work in

Aarti can do a piece of work in 6 days. In how many days will she complete three times of work of the same type?

A and B can do a piece of work in 6 and 12 days, respectively. They (both) will complete the work in how many days?

A water tank has three taps A, B and C. A fills four buckets in 24 minutes, B fills 8 buckets in 1 hour and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 litres of water what is the capacity of the tank?

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

A does 80% of work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same work in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be

Twenty women can do a piece of work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days, will 10 women complete it?

A and B can together finish work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days, A alone can finish the work?

A, B and C can do a piece of work in 20, 30 and 60 days, respectively. In how many days can A do the work, if he is assisted by B and C on every third day?

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for ₹ 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

A, B and C can do a piece of work in 20, 24 and 30 days, respectively. They undertook to do the piece of work for ₹5400. They begin the work together but B left 2 days before the completion of work and C left 5 days before the completion of work. The share of A from the assured money is

A, B, and C get  ₹5400 for doing work in 36 days. A and C get ₹1880 for doing the same work in 20 days, which B and C get ₹3040 for doing the same work in 40 days. Find the amount received by C per day.

Pipes P and Q can fill a tank in 5 and 6 h respectively. Pipe R can empty it in 12 h. If all the three pipes are opened together, then the tank will be filled in :

Two pipes P and Q can fill a tank in 15 min and 20 min, respectively. Both the pipes are opened together but after 4 min, pipe P is turned off. What is the total time required to fill the tank?

15 men can do a work in 20 days. If there are 25 men, how many days will it take to complete the work?

Ram can do a work in 60 days and the same work Sohan can finish in 40 days. If both of them work together, then in how many days will the work be over?