10 men can complete a piece of work in 15 days. They started work and after five days 10 women joined them and the work has finished in next 5 days. In how many days can 25 women finish the same piece of work?

A car worth Rs 30,000 was sold by A to B at 10 % profit. B sold the car back to A at 5 % loss. In the entire transaction.

If a + b = -2 and a - b = 12, find b. 

Rajesh goes to his office at the speed of 25km/hr and return to his home at the speed of 20 km/hr. If he takes total 9 hours, then what is the distance between his office and home?

If $$ {\sqrt{3}\ CosA=SinA}$$ then what is the value of Cot A?

There are 11 members in a family out of which there are 4 males and remaining females. The family has hired three cars for a trip to zoo. The members are to be seated in the cars in such a way that there are not more than four members in one car and there is at least one male in each car. How many different ways can the members travel?

Four numbers are in the ratio 1 : 2 : 3 : 4 . Their sum is 16. The sum of the first and fourth number is equal to: 

A passenger train covers the distance between stations A and B, 50 minutes faster than a goods train. Find this distance between A and B if the average speed of the passenger train is 60 km/h and that of goods train is 20 km/h?