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In how many ways can the letters of the word 'MALAYALAM' be arranged?

A train 100 m long crosses a platform 125 m long in 15 seconds. What is the speed of the train?

  If TOUR is written as 1234, CLEAR is written as 56784 and SPARE is written as 90847, find the code for CARE 

What is the highest power of 17 that can divide the expression (18^2-1)(18^4-1)(18^6-1)(18^8-1)......(18^6-1)(18^18-1) exactly?

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?

 Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points? 

A can complete a piece of work in 10 days, and B can complete the same work in 15 days. How many days will it take for A and B to complete the work if they work together?

A person takes 20 minutes more to cover a certain distance by decreasing their speed by 20%. What is the time taken to cover the distance at their original speed?