List of top Mathematics Questions

Calculate the mean deviation about the median for the following data.
Calculate the mean deviation about median for the following data.
$\frac{C_{0}}{1}+\frac{C_{2}}{3}+\frac{C_{4}}{5}+\frac{C_{6}}{7}+ ........ =$
Biconditional statement are given below. The true statment among them is
Bag $I$ contains $3$ white and $3$ red balls and bag $II$ contains $5$ white and $4$ red balls. $A$ bag is taken at random and a ball is drawn from it. If the ball drawn is white, then find the probability that it was drawn from bag $II$.
At ........... point on the parabola $x^2 = 4y$. the rate of increase of the x-coordinate is the same as the rate of the increasing y-coordinate.
At a telephone enquiry system the number of phone calls regarding relevant enquiry follow Poisson distribution with an average of 5 phone calls during 10 minute time intervals. The probability that there is at the most one phone call during a 10-minute time period is
Assuming that straight line work as the plane mirror for a point, find the image of the point $(1, 2)$ in the line $x - 3y + 4 = 0$.
Assume that in a family, each child is equally likely to be a boy or a girl. $A$ family with three children is chosen at random. The probability that the eldest child is a girl given that the family has at least one girl is
Area of the region bounded by $y=|x-1|$ and $y=1$ is
Area of the parallelogram whose diagonals are $\overrightarrow{a}$ and $\overrightarrow{b}$ is
Area of loop of the curve $r = a \sin \, 2 \theta$ is
Area of the equilateral triangle inscribed in the circle $x^2 +y^2 -7x + 9y + 5 = 0$is
Ankur appeared in an examination which has 5 subjects, out of five, in four subjects he got $90, 70, 75, 65$ marks respectively. The minimum & maximum marks he should score in fifth subject so that the average mark is greater than or equal to 70 and less than or equal to 75 is
An urn contains 7 red and 4 blue balls. Two balls are drawn at random with replacement. If the events are independent, then the probability of getting two red balls is
An orthogonal matrix is
An unbiased coin is tossed n times. The probability that head will present itself, odd number of times is
An open tank with a square base and vertical sides is to be constructed from a metal sheet so as to hold a given quantity of water. The cost of the material will be least when depth of the tank is
An open box with a square base is to be made out of a given quantity of a cardboard of area $c^2$ square units. The maximum volume of the box is (in cubic units)
An equation of the plane passing through the points $(3, 2, -1)$, $(3, 4, 2)$ and $(7, 0, 6)$ is $5x + 3y - 2z = \lambda$, where $\lambda$ is
An equilateral triangle is inscribed in the parabola $y^2 = 4x.$ If one vertex of this triangle is the vertex of the parabola, then the length of a side of this triangle is ...........
An edge of a variable cube is increasing at the rate of 10cm/sec. How fast the volume of the cube will increase when the edge is 5 cm long ?
An anti-aircraft gun takes a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shot are 0.4, 0.3, 0.2 and 0.1 respectively. The probability that the gun hits the plane is:
An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in
Amongst all pairs of positive numbers with product $256$, find those whose sum is the least.