The area of a trapezium is 553.5 cm^{2} and the distance between its parallel sides is 27 cm. If one of the parallel sides is of length 17 cm, find the length of the other side.

The Ferris Wheel at the school fair has radius of 10 metres. It revolves at the rate of one revolution per 2 minutes. How many seconds does it take a rider to travel from the bottom of the wheel to a point 5 vertical metres above the bottom?

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 6 cm, 7 cm and 5 cm. Find the area of the triangle.

Hani is a part of the school cricket team and this year he has scored an average of 31 runs. He has played 6 innings so far and his scores in 5 of them are 38, 40, 30, 33, 25. What was his score in the last innings?

There are two solution of acid S_{1} and S_{2}, such that S_{1} contains 60% acid whole S_{2} contains 50% acid. What quantities of S_{1} and S_{2} should me mixed to get 10 liters of solution that contains 57% acid.

In an exam with two subjects, 65% passed the first subject, and 70% passed the second subject. 10% failed in both the subjects. If 387 passed in both subjects, then how many wrote the exam?