List of top Mathematics Questions

If $3x = a + b + c$, then the value of $[(x-a)^3+(x-b)^3+(x-c)^3-3(x-a)(x-b)(x-c)]$ is :

In figure, O is the centre of the circle such that $\angle AOC=130^\circ$, then $\angle ABC=\dots\dots$

If the ratio of mode and median of a certain data is $6:5$, then find the ratio of its mean and median :
Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is :
The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is $5\sqrt{5$ cm. Its surface area is :}
Vertical cross-section of a right circular cylinder is always a :
The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is :
If one angle of a parallelogram is $24^\circ$ less than twice the smallest angle, then the measure of the largest angle of the parallelogram is :
The value of m for which $\left[\left\{\left(\frac{1}{7^2}\right)^{-2}\right\}^{-\frac{1}{3}}\right]^{\frac{1{4}} = 7^m$ is:}
If $\sqrt{13 - a\sqrt{10} = \sqrt{8} + \sqrt{5}$ then a = .........}
If $(x^{140} + 2x^{151} + K)$ is divisible by $(x+1)$ then the value of K is :
The value of $ \frac{(2.3)^3 - 0.027{(2.3)^2 + 0.69 + 0.09} $ is:}
If $ \frac{a{b} + \frac{b}{a} = 1 $, then $ a^3 + b^3 = $}
If the graph of the equation $ 4x + 3y = 12 $ cuts the coordinate axes at $ A $ and $ B $, then the hypotenuse of right triangle $ \triangle AOB $ is of length:
Two points having the same abscissae but different ordinates lie on:
An irrational number between 2 and 2.5 is:
A dice is thrown twice. The probability that 5 will not come up either time is:
One card is drawn from a well-shuffled deck of 52 cards. The probability of getting a face card is:
Which of the following cannot be the probability of an event?

A student observes the following spinner. What is the probability of obtaining the red colour.

The empirical relationship among the three measures of central tendency (median, mode, and mean) is:
If the median of the series exceeds the mean by 3, then the number by which the mode exceeds its mean is:
A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q So that OQ=12 cm, height PQ is :
If the angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is $30^\circ$, then the height of the tower is :
To draw a pair of tangents to a circle which are inclined to each other at an angle of $ 50^\circ $, it is required to draw tangents at end points of those two radii of the circle. What should be the angle between these two radii?