List of top Mathematics Questions

If six persons are to be selected to form a committee from a group of seven women and four men so that at least three women are there on the committee, then the number of ways it can be done, is

The number of 3-digit even numbers that can be formed with the digits 0, 1, 2, 3, 4, 5, 6 are

The $3^{\text{rd}}$ and $6^{\text{th}}$ terms of a G.P. are, respectively 108 and -32. Then the first term is

The imaginary part of $\frac{\cos 50^{\circ}+i\sin 50^{\circ}}{\cos 50^{\circ}-i\sin 50^{\circ}}$ is equal to

The value of $\left(\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^{3}+\left(\frac{\sqrt{3}}{2}-\frac{i}{2}\right)^{3}$ is equal to

The three geometric means between 4 and 324 are

The domain of the function $f(x)=\sin^{-1}(\sqrt{2-x})$ is

The range of $f(x)=[\cos x]$, where $[x]$ is the greatest integer less than or equal to $x$, is

If $f(x)=x+1$, and $g(x)=x^{3}$, then $f^{-1}(g(x))$ is equal to

The inverse function of $f(x) = ax + 1$, $x \in \mathbb{R}$ is itself. Then the value of $a$ is

The equation $\text{Im}(1-i)z=1$ represents the line

Let $A=\{1,2,3\}$ and $B=\{1,2,3,4\}$ and let $R:A\rightarrow B$ be a relation. If $R=\{(1,2), (2,3), (3,4)\}$, then $R\circ R$ is

Evaluate the integral: \(\int \frac{x}{x + 2} \, dx\).

Let \( A = \{1, 2, 3, 4, 5\} \) and \( B = \{a, b, c\} \). Then the number of functions which are not onto are:

A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

The number of distinct real solutions of the equation \[ x|x + 4| + 3|x + 2| + 10 = 0 \] is

Let $[x]$ be the greatest integer function. Then $\int_{-4}^{4}(x-[x])dx$ is equal to

$\int_{0}^{5}\frac{(x+8)^{2026}}{(x+8)^{2026}+(13-x)^{2026}}dx$ is equal to

$\int e^{x}(2e^{x}+\sin x+\cos x+2)dx$ is equal to

$\int\left(\frac{1}{1+e^{t}}\right)dt$ is equal to

$\int_{\pi/6}^{\pi/3}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}dx$ is equal to

$\int\frac{1}{(1+x^{2})\tan^{-1}\left(\frac{1+x}{1-x}\right)}dx$ is equal to

$\int_{0}^{1}\left(\frac{x^{15}}{1+x^{32}}\right)[\cos(\tan^{-1}x^{16})]dx$ is equal to

Consider the circle $x^{2}+y^{2}=1$. The point on the circle which is nearest from the point (1,1), is

$\int\frac{y^{2}-3y+2}{y^{2}+y}dy$ is equal to