AILET entrance exam Question Bank Solutions for Mathematics

Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?

The population of a city is 2,96,000 out which 1,66,000 are males. 50% population is literate. If 70% males are literate, then the number of women who are literate is

A retailer offers the following discount schemes for buyers on articles

1. Two successive discounts of 10%
2.  A discount of 12% followed by a discount of 8%
3. Successive discounts of 15% and 5%.
4.  A discount of 20%.

The selling price will be minimum under the scheme

Madhu takes twice as much time as Uma to complete work and Ramesh does it in the same time as Madhu and Umatogether. If all three working together can finish the work in 6 days, then the time taken by Madhu to finish the work is

Solve the following question and mark the best possible option.
A tank can be filled up by two pipes A and B in 2 hours and 3 hours respectively. A third pipe C can empty the full tank in 6hours. If all the taps can be turned on at the same time, the tank will be full in:

Solve the following question and mark the best possible option.
It takes 8 people working at equal rates to finish work in 96 days. How long will 6 workers take to finish the same work?

Solve the following question and mark the best possible option.
Four gardeners with four grass mowers can mow 400 square meters of ground in four hours. How long would it take for eight gardeners with eight grass mowers to mow 800 square meters of the ground?

Twenty-five workers were employed to complete a compound wall in 12 days. Five workers left after working for 4 days. The remaining 20 workers completed the work. In how many days the total job was completed?

10 men can finish the construction of a hut in 8 days. How many men are needed to finish the same in half a day?

16 men can do a piece of work in 16 days. 4 days after they started the work 8 more men joined them. How many days will they now take to complete the remaining work?

A group of workers accepted to do a piece of work in 25 days. If 6 of them did not turn up for the work and the remaining workers did the work in 40 days, then the original number of workers was

A contractor Abhay Singh employed some men to do a piece of work which can be done by 16 men in 14 days. At the end of 5 days, 7 of the men stopped working and 3 days later half of the remainder stopped working; the rest finished the work in 5 days. What is the number of men originally employed?

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?