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 2 km/hour slower than train B. After 5 hours, trains are 290 km apart. Find the speed of both trains.
A tangent ^@ PQ ^@ at a point ^@ P ^@ of a circle of radius ^@15 \space cm^@ meets a line through the center ^@O^@ at a point ^@Q^@ such that ^@OQ = 23 \space cm^@. What is the length of ^@PQ^@ ?
An umbrella has ^@8^@ ribs which are equally spaced as given in the figure. Assuming the umbrella to be a flat circle of radius ^@ 28 \space cm^@, find the area between two consecutive ribs of the umbrella.^@ \bigg[ \pi = \dfrac { 22 } { 7 } \bigg]^@
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 } { 8 } \space cm^@, find the length of the wire.
In this diagram, the triangle represents women, the square represents doctors and the circle represents employed. Find the number of women who are employed but not doctors.
Japan
