List of top Mathematics Questions

Two dice are tossed. The probability that the total score is a prime number is

What is the value of $i^{99}$ (where $i$ is the imaginary unit)?

If A is a square matrix of order 3 such that the determinant $|A| = 5$, what is the value of the determinant $|2A|$?

If set $A$ has 3 elements and set $B$ has 4 elements, then the number of injective mappings from $A$ to $B$ is

From a pack of 52 cards, two cards are drawn at random. What is the probability that both are Kings?

The integration of $\log x$ with respect to $x$ is

The number of ways in which the letters of the word ``APPLE'' can be arranged is

The value of the limit as $x$ approaches $0$ for $\frac{\sin(5x){x}$ is}

If $A$ is a symmetric matrix, then the transpose of $A'$ is equal to

In a Geometric Progression (G.P.), if the third term is 4, then the product of the first 5 terms is

The derivative of $e^{2x}\sin x$ with respect to $x$ is

If the function $f(x) = x^3 - 3x^2 + 6$ is defined on the interval $[0,4]$, the maximum value is

The slope of the tangent to the curve $y = 3x^4 - 4x$ at $x = 4$ is

The value of $\sin 20^\circ \times \sin 40^\circ \times \sin 60^\circ \times \sin 80^\circ$ is

If vector $\vec{a} = 2\hat{i} + m\hat{j} + \hat{k}$ and vector $\vec{b} = \hat{i} - 2\hat{j} + 3\hat{k}$ are perpendicular to each other, then the value of $m$ is

The value of $\tan 75^\circ - \cot 75^\circ$ is equal to

If $D \subset \mathbb{R}$ and $f : D \to \mathbb{R}$ defined by $f(x) = \frac{x^2+x+a}{x^2-x+a}$ is a surjection then '$a$' lies in the interval

Let \( z=x+iy \) and \( P(x,y) \) be a point on the Argand plane. If \( z \) satisfies the condition \( \text{Arg}\left(\frac{z-3i}{z+2i}\right) = \frac{\pi}{4} \), then the locus of P is

$16 \sin 12^\circ \cos 18^\circ \sin 48^\circ =$

If x and y are two positive real numbers such that xy=4 then the minimum value of \( \sqrt{x+\frac{y^2}{2}} \) is

A function $f: \mathbb{R} \to \mathbb{R}$ defined by $f(x) = \begin{cases} 2x+3, & x \le 4/3 \\ -3x^2+8x, & x>4/3 \end{cases}$ is

The coefficient of variation for the following data is