The area of a trapezium is 148.5 cm^{2} and the distance between its parallel sides is 27 cm. If one of the parallel sides is of length 6 cm, find the length of the other side.

Given a circle, a circumscribed square is one that completely encloses the circle, and an inscribed square is completely enclosed by the circle, as shown below

If the the difference in the areas of the two squares is 28 sq. m., then what is the area of the circle in sq. m.? Assume π =

A sphere and a right circular cylinder have the same radius. If the volume of the sphere is one fifth of the volume of the cylinder, what is the ratio of the height of the cylinder to its radius?

Tony is a part of the school cricket team and this year he has scored an average of 47 runs. He has played 5 innings so far and his scores in 4 of them are 44, 55, 43, 44. What was his score in the last innings?

A survey of ^@ 800 ^@ kids of a school was conducted and it was found that ^@240^@ kids like tea while ^@560^@ dislike it. Out of these kids, one kid is selected at random.
What is the probability that the selected kid does not like tea?

The sides of a triangular field are 10 m, 13 m and 13 m. Find the number of rose beds that can be prepared in the field, if each rose bed, on an average needs 800 cm^{2} space.