AILET entrance exam Question Bank Solutions for Mathematics

The Bubna dam has four inlets. Through the first three inlets, the dam can be filled in 12 minutes; through the second, the third and the fourth inlet, it can be filled in 15 minutes; and through the first and the first inlet, in 20 minutes. How much time will it take all the four inlets to fill up the dam?

A train travels with a speed of 20 m/s in the first 10 minutes, goes 8.5 kms in the next 10 minutes, 11 kms in the next 10 minutes, 8.5 kms in the next 10 and 6 kms in the next 10 minutes. What is the average speed of the train in kilometer per hour for the journey described?

India's Republic day in 1996 fell on Friday. Which weekday it will be celebrated in the year 2000?

An express train travels at an average speed of 120 km per hour, stopping for 4 minutes after every 80 kms. How long will it take the train to reach a destination 960 km away?

A clock gains 5 minutes every hour. Then the angle traversed by the second's hand in one minute will be

A student rides a bicycle at 8 kms/hr and reaches the school 2.5 minutes late. The next day he increases the speed to 10 kms/hr and reaches school 5 minutes early. How far is the school from his house?

Two taps ‘A’ and ‘B’ can fill a water reservoir in 8 and 6 hours respectively. A third tap ‘C’ can empty the tank completely in 24 hours. How long would it take to fill the empty tank when all the taps are open?

Military camp is having the provisions for 300 people consuming 600 grams daily for 75 days. They are joined by 60 more men and the daily ration was reduced by 100 grams. How long will the provisions last approximately?

Ram is traveling by car at a rate of 40 kmph. After 80 km he rests for 20 minutes. How long will he take to cover a distance of 240 kms?

There is a leak in the bottom of a tank. This leak can empty a full tank in 8 hours. When the tank is full, a tap is opened into the tank which admits 6 litres per hour and the tank is now emptied in 12 hours. What is the capacity of the tank?

A and B walk from X to Y, a distance of 27 km at 5 km/hr and 7 km/hr, respectively, B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z?

Amar is twice as fast as Rohit and Rohit is thrice as fast as Chanda is. The journey covered by Chanda in 42 minutes will be covered by Amar in

In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly same speed as before, then by how many metres will S beat N?

A streamer goes downstream from one port to another in 4 hours. It covers the same distance upstream in 5 hours. If the speed of the stream is 2 km/h, the distance between the two ports is

A train running at the rate of 40 km/h passes a man riding parallel to the railway line in the same direction at 25 km/h in 48 seconds. Find the length of the train in metres.

Anju is waiting on the railway station for the arrival of her train. Two trains running in opposite directions cross Anju on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speed is

Neeraj is going to Agra on his bike from Delhi. He overtakes a bus traveling from Delhi to Agra at 4.30 pm. Neeraj reaches Agra at 6 pm. After stopping there for an hour, he starts back towards Delhi and meets the same bus at 7.30 pm which was moving towards Agra at that time. If both the bus and the bike were traveling with uniform speeds on the same route, at what time would the bus reach Agra?

A person crosses a 600m long street in 5 min. What is his speed in km per hour?

If a person walks at 14 km/h instead of 10 km/h, he would have walked 20 km more. The actual distance travelled by him is

In covering a distance of 30 km, Abhay takes 2 h more than Sameer. If Abhay doubles his speed, then he would take 1 h less than Sameer. Abhay's speed is