List of top Mathematics Questions

If $ \left| \begin{matrix} x+7 & 5 \\ x+-3 & 3 \\ \end{matrix} \right|=26, $ then x is equal to
The value of $ \int{\frac{2+\sin x}{1+\cos x}}\,{{e}^{x/2}}dx $ is
The value of $ \cos \left( \frac{3\pi }{2}+x \right)\,\cos \,(2\pi +x)\left\{ \cot \left( \frac{3\pi }{2}-x \right)+\cot \,(2\pi +x) \right\} $ is
How many four digit numbers are there with distinct digits?
There are $12$ points in a plane. The number of straight lines joining any two of them, when $3$ of them are collinear, is
If $\begin{bmatrix} x+7 & 5 \\[0.3em] x-3 & 3 \end{bmatrix}=26,$ then $x$ =
The cartesian product $ A\times A $ has $9$ elements among which are found $ (-1,0) $ and $ (0,1), $ then set $A$ = ?
A survey shows that $63\%$ of the Americans like cheese where as $76\%$ like apples. If $x\%$ of the Americans like both cheese and apples, then the value of $x$ is
The value of $ \int_{0}^{\pi /2}{\frac{dx}{1+\tan x}} $ is
If $ A=\left[ \begin{matrix} 3 & -4 \\ 1 & -1 \\ \end{matrix} \right], $ then $ (A-A') $ is equal to (where, $A'$ is transpose of matrix $A$)
Which of the following is not a function?
The value of $ \left| \begin{matrix} {{a}^{2}} & 2ab & {{b}^{2}} \\ {{b}^{2}} & {{a}^{2}} & 2ab \\ 2ab & {{b}^{2}} & {{a}^{2}} \\ \end{matrix} \right| $ is
If $ \theta =\frac{\pi }{{{2}^{n}}+1}, $ then the value of $ {{2}^{n}}\cos \theta \,\cos \,2\theta \,\cos \,{{2}^{2}}\theta .....\cos {{2}^{n-1}}\theta $ is
The value of $ \frac{d}{dx}[{{x}^{n}}\,{{\log }_{a}}\,x{{e}^{x}}] $ is
Using the principal values, the value of $ {{\sin }^{-1}}\left\{ \sin \frac{5\pi }{6} \right\}+{{\tan }^{-1}}\left\{ \tan \frac{\pi }{6} \right\} $ = ?
If $ {{S}_{n}} $ denotes the sum of first $n$ terms of $A.P.$ $ , $ such that $ \frac{{{S}_{m}}}{{{S}_{n}}}=\frac{{{m}^{2}}}{{{n}^{2}}}, $ then $ \frac{{{a}_{m}}}{{{a}_{n}}} $ is equal to
$ \underset{x\to 0}{\mathop{\lim }}\,\,{{\left\{ \tan \left( \frac{\pi }{4}+x \right) \right\}}^{1/x}} $ is equal to
If the determinant of the adjoint of a (real) matrix of order $3$ is $25$, then the determinant of the inverse of the matrix is
How many numbers with no more than three digits can be formed using only the digits $1$ through $7$ with no digit used more than once in a given number?
If the area of the auxiliary circle of the ellipse $\frac {x^2}{a^2}+\frac {y^2}{b^2}=1 (a >\, b)$ is twice the area of the ellipse, then the eccentricity of the ellipse is
Five persons entered the lift cabin on the ground floor of an eight floor house. Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first, then the probability of all $5$ persons leaving at different floors is
If $x, y, z$ are in A.P. and $\tan^{-1}x, \tan^{-1}y$ and $\tan^{-1}z$ are also in A.P., then
The intercepts on $x-axis$ made by tangents to the curve, $y = \displaystyle\int_0^x |t| dt, x \in R$, which are parallel to the line $y = 2x$, are equal to
Let $T_n$ be the number of all possible triangles formed by joining vertices of an $n$-sided regular polygon. If $T_{n+1} - T_n = 10$, then the value of $n$ is
Consider : Statement-I : $(p \wedge \sim q) \wedge ( \sim p\wedge q)$ is a fallacy. Statement-II : $(p\to q) \leftrightarrow (\sim q \to \sim p)$ is a tautology.