Explore topic-wise InterviewSolutions in Current Affairs.

The fesible region for a LPP is shown in following figure. Find the minimum value of Z =11x +7y.

If $\alpha ,\beta$ are the corresponding roots of the given quadratic equations. Then match the following.

$\frac{d}{dx}[si{n}^{n}x.sin.nx]=$

If $A_k=\left[\begin{array}{cc}k& k-1\\ k-1& k\end{array}\right],$ then $|A_1|+|A_2|+\cdots +|A_{2021}|$ is equal to

The negation of the statement "if $5>7$ then, $6<4$"

If $1,\omega ,{\omega }^2$ are the cube roots of unity, then $(x+y+z)(x+y\omega +z{\omega }^2)(x+y{\omega }^2+z\omega )$ equal to

If the function $f\left(x\right)=\{\begin{array}{cc}a|\pi -x|+1,& x\le 5\\ & \\ b|x-\pi |+3,& x>5\end{array}$

is continuous at $x=5$, then the value of $a-b$ is :

In a survey of $300$ android mobile users, who make video calls, $75$ people said they use only viber, $45$ use only skype and $90$ people use both. The number of people who use neither viber nor skype is

If a variable takes the values $0,1,2,...,n$ with corresponding frequencies as binomial coefficients ${}^n{C}_0,{}^n{C}_1,...,{}^n{C}_n$, then the mean of distribution is

The set of real values of x satisfying $lo{g}_{\frac{1}{2}}(x^2-6x+12)\ge -2$ is

Let A = {1, 2, 3, … , 14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Write down its domain, codomain and range.

The number of elements in the set $\{x\in R:(|x|-3)|x+4|=6\}$ is equal to

Write the number of sulutions of the equation tan x +sec x = 2 cos x in the interval $[0,2\pi ]$.

Integrate the following functions.
$\int \frac{x^{3}sin\left(ta{n}^{-1}{x}^4\right)}{(1+x^8)}dx$

Find the point of intersection of the following pairs of lines :

(i) 2 x - y + 3 = 0 and x + y - 5 = 0 (ii) bx + ay = ab and ax + by = ab. (iii) $y=m_{1}x+\frac{a}{m_1}andy=m_{2}x+\frac{a}{m_2}.$

Which of the following quadratic equations does not have both of its roots lying in the range of $y=3\sin x$?

In a race, the odds in favour of horses A, B, C, D are 1 : 3, 1 : 4, 1 : 5 and

1 : 6 respectively. Find probability that one of them wins the race.

If $\overline{A}$ $\times$ $\overline{B}$ = $\overline{C}$ then which of the following statements is wrong

Let I (n)=2cos n x, $nϵN$, then I(1)I(n+1)-I(n)=___

Let $\overrightarrow{a}=\hat{i}+\hat{j}+\hat{k},\overrightarrow{b}=2\hat{i}+2\hat{j}+\hat{k}$ and $\overrightarrow{c}=5\hat{i}+\hat{j}-\hat{k}$ be three vectors. The area of the region formed by the set of points whose position vector $\overrightarrow{r}$ satisfy the equations $\overrightarrow{r}.\overrightarrow{a}=5$ and $|\overrightarrow{r}-\overrightarrow{b}|+|\overrightarrow{r}-\overrightarrow{c}|=4$ is closest to the integer

If $\cos \frac{x}{2}\cdot \cos \frac{x}{2^2}\cdot \cos \frac{x}{2^3}\cdots \infty =\frac{\sin x}{x},x\in (0,\frac{\pi }{2})$, then $\frac{1}{2^2}{\sec }^2\frac{x}{2}+\frac{1}{2^4}{\sec }^2\frac{x}{2^2}+\frac{1}{2^6}{\sec }^2\frac{x}{2^3}\cdots \infty$ is equal to

$ta{n}^{-1}(x^2+y^2)=a$

Evaluate $\frac{dy}{dx}$

The sum of the roots of equation $z^6+64=0$ whose real part is positive is

Two numbers are selected at random (without replacement) from first six positive integers. Let X denotes the larger of the two numbers obtained. Find the probability distribution of X. Find the mean and variance of this distribution.

If the line, $2x-y+3=0$ is at a distance $\frac{1}{\sqrt{5}}$ and $\frac{2}{\sqrt{5}}$ from the lines $4x-2y+\alpha =0$ and $6x-3y+\beta =0,$ respectively, then the sum of all possible values of $\alpha$ and $\beta$ is

The number of solution(s) of the equationsin(-1)2x - cos(-1)x + tan(-1)2x = pi/2is

(1) Zero (2) One(3) Two (4) Infinitely many

Differentiable function $f:R\to R$ satisfying the equation $f\left(x\right)=(1+x^2)[1+\underset{0}{\overset{x}{\int }}\frac{f\left(t\right)dt}{1+t^2}]$ is -

1. 0

Prove the following by using the principle of mathematical induction for all n ∈ N:

Using elementary transformations, find the inverse of matrix $\left[\begin{array}{cc}4& 5\\ 3& 4\end{array}\right]$, if it exists.

Find $\int \frac{dx}{5-8x-x^2}$

The value of ${16}^{{\log }_{4}3}-3^{{\log }_{27}512}$ is