A train 400 m long passes a pole in 20 seconds. What is the speed of the train?

In the given figure ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle?

If 2x + 3y - 5z = 18 , 3x + 2y + z = 29 and x + y + 3z = 17 , then what is the value of xy + yz + zx ? 

Three positive numbers are in the ratio of 11 : 12 : 15. If the sum of the squares of those numbers is 1960, then the sum of the numbers is

In an examination, 93% of students passed and 252 failed. The total number of students appearing at the examination was:

If X: Y = 4: 3 and Y: Z = 5: 3. If X+Y+Z = 1584. Find X?

The marked price of a Robot is ₹ 18000. By selling it at a discount of 20%, the loss is 4%. Find the cost price of the Robot.

A, B and C invested capital in the ratio of 3 : 4 : 8. At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. What is the ratio of their invested time?