List of top Mathematics Questions

The probability of solving a problem by three persons $A, B$ and $C$ independently is $\frac{1}{2}$, $\frac{1}{4}$ and $\frac{1}{3}$ respectively. Then the probability of the problem is solved by any two of them is

If A = {1,2,3,4,5,6}, then the number of subsets of A which contain at least two elements is

The value of $\sin^2 51^\circ + \sin^2 39^\circ$ is

If A and B are two events such that P(A) = \(\frac{1}{3}\), P(B) = \(\frac{1}{2}\) and P(A ∩ B) = \(\frac{1}{6}\), then P(A'/B) is

The area bounded by the curves $\text{y} = \left(\text{x} - 1\right)^{2} \text{, } \text{y} = \left(\text{x} + 1\right)^{2}$ and $\text{y} = \frac{1}{4}$ is

Suppose that the side lengths of a triangle are three consecutive integers and one of the angles is twice another. The number of such triangles is/are

The number of ways of selecting $15$ teams from $15$ men and $15$ women, such that each team consists of a man and a woman, is

The number of discontinuity of the greatest integer function $f\left(x\right)=\left[x\right], \, x\in \left(- \frac{7}{2} , \, 100\right)$ is equal to

If $y=4x-5$ is tangent to the curve $y^{2}=px^{3}+q$ at $\left(\right.2, \, 3\left.\right)$ then $\left(\right.p,q\left.\right)$ is

If $5^{97}$ is divided by $52$ $,$ then the remainder obtained is

The two lines $l x+my=n$ and $l'x+m'y=n'$ are perpendicular if

$\displaystyle \lim_{x\to0}\left(\frac{\tan \,x}{\sqrt{2x +4} - 2}\right)$ is equal to

If ρ=\(x,y)mid x²+y²=1; x,y∈R then ρ is

If in a binomial distribution n=4 and P(X=0)=dfrac1681, then P(X=4) equals

Let f(x) be a polynomial of degree three satisfying f(0)=0, f(1)=0. Also, 0 is a stationary point and f(x) does not have any extremum at x=0. Then the value of int fracf(x)x³-1dx is