List of top Mathematics Questions

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.
All the letters of the word are arranged in different possible ways. The number of such arrangements in which no two vowels are adjacent to each other is
After simplification, what is the number of terms in the expansion of $[(3x + y)^5]^4 - [(3x-y)^4]^5$ ?
ABCD is a convex quadrilateral. 3, 4, 5 and 6 points are marked on the sides AB, BC, CD and DA respectively . The number of triangles with vertices on different sides is
ABC is a triangle and AD is the median. If the coordinates of A are ( 4, 7, - 8)and the coordinates of centroid of the triangle ABC are (1, 1, 1), what are the coordinates of D?
A wire of length $36 \,m$ is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the lengths of the two pieces, so that the combined area of the square and the circle is minimum?
A vertical lamp-post 6 m height stands at a distance of 2 m from a wall, 4 m high. A 1 -5 m tall man starts to walk away from the wall on the other side of the wall in line with the lamp-post. The maximum distance to which the man can walk, remains in the shadow is
A variable plane which remains at a constant distance 3p from the origin cut the coordinate axes at A, B and C. The locus of the centroid of triangle ABC is
A urn contains 9 red, 7 white and 4 black balls. Out of them, one is drawn at random. The probability that the ball drawn will be a red or black, is
A tree is broken by wind and its upper part touches the ground at a point 10 metres from the foot of the tree and makes an angle of 45$^\circ$ with the ground. The entire length of the tree is
A town has total population $25000$, out of which $13000$ read ??he Hindustan Times and $10500$ read ??he Indian Express?