Mathematics
A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is :
(a) a multiple of 5
(b) a perfect square
(c) a prime number ?
Related Questions
The 5th and 9th term of an Arithmetic Progression are 4 and -12 respectively. Find :
(a) the first term
(b) common difference
(c) sum of 16 terms of the A.P.
A and B are two points on the x-axis and y-axis respectively.
(a) Write down the co-ordinates of A and B.
(b) P is a point on AB such that AP : PB = 3 : 1. Using section formula find the coordinates of point P.
(c) Find the equation of a line passing through P and perpendicular to AB.
A man covers a distance of 100 km, travelling with a uniform speed of x km/hr. Had the speed been 5 km/hr more it would have taken 1 hour less. Find x the original speed.
A solid is in the shape of a hemisphere of radius 7 cm, surmounted by a cone of height 4 cm. The solid is immersed completely in a cylindrical container filled with water to a certain height so that the solid is completely submerged in water. If the radius of the cylinder is 14 cm, find the rise in the water level.
