Two tankers contain 550 litres and 310 litres of petrol respectively. A container with maximum capacity is used which can measure the petrol of either tanker in exact number of litres. How many containers of petrol are there in the first tanker.

Three years ago Sander was five times older than his daughter. After three years, Sander will be 9 years more than two times the age of his daughter. Find the present age of Sander and his daughter.

Trains A and B leave station at the same time. Train A travels in West direction and train B travels in North direction. Train A is 0.5 km/hour slower than train B. After 2 hours, trains are 29 km apart. Find the speed of both trains.

In the given figure, tangents ^@ PQ ^@ and ^@ PR ^@ are drawn from an external point ^@ P ^@ to a circle with center ^@ O ^@, such that ^@ \angle RPQ = 60^\circ ^@. A chord ^@ RS ^@ is drawn parallel to the tangent ^@ PQ ^@. What is the measure of ^@ \angle RQS ^@ ?

A car has two wipers which do not overlap. Each wiper has a blade of length ^@ 35 \space cm ^@ sweeping through an angle of ^@ 90^\circ ^@. Find the total area cleaned at each sweep of the blades.

A solid metallic right circular cone ^@18 \space cm^@ high and whose vertical angle is ^@60^\circ^@ is cut into two parts at the middle point of its height by a plane parallel to the base. If the frustum, so obtained, be drawn into a wire of diameter ^@\dfrac { 1 } { 4 } \space cm^@, find the length of the wire.

The following table shows the distribution of the amount that the families living in a colony spend on groceries per month. Find the mean expenditure of a family on groceries.

Coin A is flipped 3 times and coin B is flipped 4 times. What is the probability that the number of heads obtained from flipping the two coins is the same?

A decorative used by the turks is shaped like the frustum of a cone. If the radius of the open side is ^@ 13 \space cm ^@, the radius of the closed base is ^@ 17 \space cm ^@ and its slant height is ^@ 13 \space cm. ^@ Find the area of the material used for making it.