X, Y and Z can complete a piece of work in 36 days, 90 days and 54 days respectively. All the three started the work together but Y left after ten days and X left the work after two more days. In how many days was the entire work completed?

18 men can complete a piece of work in 15 days and 10 women can complete the same work in 36 days. 12 men start working. After nine days, they are replaced by 20 women. In how many days will the remaining work be completed by 20 women?

A pipe P can fill an empty tank in 4 hours 30 minutes. Because of a leak at the bottom of the tank, it took 7 hours 12 minutes to fill the tank. In how many hours can the leak empty the full tank?

A pipe can fill an empty tank in 48 minutes. Another pipe can fill the tank at the rate of 64 litres/minute. A third pipe can empty the tank in 120 minutes. It takes 16 minutes to fill the tank when all the three pipes are opened. Find the capacity of the tank (in litres).

A train can cross a 450 m long bridge in one minute and 20 seconds, whereas it can cross a 750 m long bridge in one minute 40 seconds. What is the length of the train?

A bus was running at a speed of 45 kmph and the speed of the bus increased by 3 kmph at the end of every hour. What is the total distance covered by the bus in the first 12 hours of the journey?

M and N are two stations which are 918 km apart. A train starts from station M at 8:45 a.m. and travels at a speed of 72 kmph towards station N. Another train starts from station N at 11:00 a.m. and travels at a speed of 54 kmph towards station M. At what time would the two trains cross each other?

Train P crosses a stationary train Q in 54 seconds and a bridge of length 1100 m in 72 seconds travelling at the same speed. The length of train P is 900 m. What is the length of train Q?

Excluding the stoppages, the average speed of a train is 120 kmph and including the stoppages, the average speed of the train is 90 kmph. For how many minutes does the train stop per hour?

There is 90 litres of solution of milk and water in which milk forms 80%. How much water must be added to this solution to make it a solution in which milk forms 60%?

Two vessels contain mixtures of milk and water in the ratio 5: 2 in the first vessel and in the ratio 4:3 in the second vessel. In what ratio should these two mixtures be mixed such that the resultant mixture has milk and water in the ratio 2: 1?

A person invests a total of 12,000 in two fixed deposit schemes, one gives simple interest at 8% p.a. and the other gives simple interest at 10% p.a. If he gets a total interest of 3240 in 3 years, find the amount invested in the fixed deposit that gives 10% p.a.

A person purchases a table and a chair for 3000. He makes a profit of 20% on the chair and a profit of 30% on the table. He makes an overall profit of 24%. Find the cost of the table.

A glass has 100 ml of pure milk. 10ml of milk is removed from it and 10 ml of water is added to it. If this operation is repeated another two times, what is the percentage of milk in the vessel?

The ratios of milk to water in three mixtures are 4:1, 5:3 and 7: 3 respectively. If the mixtures are mixed in the ratio 4: 5: 6 then what will be the ratio of milk to water in the final mixture?

2³⁴+ 4¹⁵+ 16⁸ + 8¹¹ is equal to

Which of the following is the greatest?

If x = √21 + √24, y= √19+ √26 and z = √17+ √28, then which of the following holds true?

If a = 5-√24 and b = 5+ √24, then find the value

of 1/a² + 1/b².