AILET entrance exam Question Bank Solutions

In a call center, 6 employees working for 10 hours complete a certain task. They started working at 11:00 a.m. This continued till 5.00 pm and after that, for each hour one more employee is added till the work gets completed. At what time will they complete the work?

A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?

A water tank has eight pipes fitted into it. Pipes are of two types: Green Pipe and Red Pipe. Green pipes are used to fill the tank and the Red pipes are used to empty the tank. Every Green pipe can fill the tank in 12 hours and every Red pipe can empty it in 36 hours. On opening all the pipes an empty tank is filled in 3 hours. The number of Red pipe is

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?