There are two numbers. If four times the larger of two numbers is divided by the smaller one, we get 7 as quotient and 0 as remainder. If five times the smaller of two numbers is divided by the larger one, we get 2 as quotient and 24 as remainder. Find the numbers.

A lamp is ^@ 13.2 \space m ^@ above the ground. A boy ^@ 66 \space cm ^@ tall walks away from the base of this post at a speed of ^@ 2 \space m/s^@. Find the length of the shadow of the boy after ^@ 10 \space seconds ^@.

Two vertices of ^@\Delta {ABC}^@ are given by ^@A(-15,-18)^@ and ^@B(-18,-12)^@, and its centroid is ^@G(-15, -13)^@. Find the coordinates of the vertex ^@C^@.

In the given figure, ^@ PQ ^@ is a chord of a circle with centre ^@ O ^@ and ^@ PT ^@ is a tangent at point ^@ P ^@. If ^@\angle QPT ^@ = ^@ 51^\circ ^@, find ^@ \angle PRQ ^@.

A tent of height 8.3 m is in the form of a right circular cylinder of diameter 8 m and height 2.6 m, surmounted by a right circular cone of the same diameter, then the cost of canvas of the tent at the rate of Rs.179 per m^{2} is Rs.

The numbers 1 to 11 are written on 11 pieces of paper and dropped into a box. Three of them are drawn at random. What is the probability that the three pieces of paper picked have numbers that are in arithmetic progression?

Faces of a cube are marked with A,B,C,D,E and F. Two views of cube are as shown below, if face C is opposite to face A, what will be there on the top when B is at the bottom?

In this diagram, the triangle represents men, the square represents accountants and the circle represents sports persons. Find the number of women who are accountants and sports persons.