List of top Mathematics Questions

If the mean of 1,3,4,5,7,4 is \(m\) and mean of 3,2,2,4,3,3,\(p\) is \((m-1)\) and median is \(q\) then \( p+q = \)
If \( \alpha, \beta \) are the zeroes of the polynomial :
\( f(x) = x^2 - p(x+1) - C \) such that \( (\alpha+1)(\beta+1) = 0 \) then C=
In \( \triangle ABC \) and \( \triangle DEF \), \( \angle A = \angle E = 40^\circ \) and AB : ED = AC : EF and \( \angle F = 65^\circ \) then \( \angle B = ? \)
Two coins are tossed simultaneously. The probability of getting atmost one head is :
The length, width and height of a rectangular solid are in the ratio of 3:2:1. If the volume of the solid is 48 cm\(^3\). The total surface area at the solid is :
If the diameter of the base of a closed right circular cylinder be equal to its height, h, then its whole surface area is :
If the radius of the base of a right circular cone is \(3r\) and its height is equal to the radius of the base, then its volume is :
If the ratio of volumes of two spheres is 1:8, then the ratio of their surface area is :
Let \(l\) be the lower class limit of a class-interval in a frequency distribution and \(m\) be the mid point of the class. Then the upper class limit of the class is :
A square and an equilateral triangle have equal perimeters. If the diagonal of the square is \(12\sqrt{2}\) cm, then area of the equilateral triangle is :
If the bisectors of the acute angles of a right triangle meet at O, then the angle at O, between the two bisectors is :
If two interior angles, on the same side of a transversal intersecting two parallel lines, are in the ratio 2 : 3, then the measure of the larger angle is :
The chord of a circle is equal to its radius. The angle subtended by this chord at the minor arc of the circle, is :
If \( \triangle ABC \cong \triangle ACB \), then \( \triangle ABC \) is Isosceles with :
The figure formed by joining the mid points of the adjacent sides of a rectangle is :
Diagonals AC and BD of trapezium ABCD, in which AB\(||\)DC intersect each other at O. The triangle which is equal in area of \( \triangle \text{AOD} \) is :
If a,b,c are positive real numbers, then \( \sqrt{a^{-1}b} \times \sqrt{b^{-1}c} \times \sqrt{c^{-1}a} \) is equal to :
if aex+bey=c; pex+qey=d and

 the the value of (x, y) is
An aeroplane flying at a constant speed, parallel to the horizontal ground, $\sqrt{3} \, km$ above it, is observed at an elevation of $60^{\circ}$ from a point on the ground. If, after five seconds, its elevation from the same point, is $30^{\circ}$, then the speed (in km/hr) of the aeroplane, is :
Two sets $A$ and $B$ are as under: $A = \{(a, b) \in R \times R : |a - 5| < 1$ and $|b - 5| < 1\} $; $B = \{(a, b) \in R \times R : 4(a - 6)2 + 9(b - 5)^2 \leq 36\}$. Then
The number of numbers between $2,000$ and $5,000$ that can be formed with the digits $0, 1, 2, 3, 4$ (repetition of digits is not allowed) and are multiple of $3$ is :
The curve satisfying the differential equation, $(x^2 - y^2) dx + 2xydy = 0$ and passing through the point $(1, 1)$ is :
A box contains 5 black and 4 white balls. A ball is drawn at random and its colour is noted. The ball is then put back in the box along with two additional balls of its opposite colour. If a ball is drawn again from the box, then the probability? that the ball drawn now is black, is :
The number of solutions of sin2x+4cosx= 2+ sinx, in [π- ,4π ] is
If $\tan \, A$ and $\tan \, B$ are the roots of the quadratic equation, $3x^2 - 10x - 25 = 0$, then the value of $3 \, \sin^2(A + B) -10 \, \sin ( A + B)?\cos(A + B)-25 \cos^2(A+B) $ is :