Explore topic-wise InterviewSolutions in Current Affairs.

How many words, with or without meaning, can be formed by using all the letters of the word `DELHI', using each letter exactly once ?

The general solution of the equation ${\sin }^3\frac{x}{2}-{\cos }^3\frac{x}{2}=\frac{\cos x\times (2+\mathrm{sinx})}{3}$ is

The coefficient of $x^7$ in the expression $(1+x{)}^{10}+x(1+x{)}^9+x^2(1+x{)}^8+\dots +x^{10}$ is :

Prove that

is an increasing function of θ in.

Function f(x) is defined in [a, b]. If the function is continuous throughout the interval [a, b] then which among the following are correct

If the area of an equilateral triangle inscribed in the circle, $x^2+y^2+10x+12y+c=0$ is $27\sqrt{3}$ sq. units then $c$ is equal to :

Number of points where $f\left(x\right)=\left[x\right]{\sin }^2\left(\pi x\right)$ is not differentiable if $x\in (-7,10)$ is (where $[.]$ denotes the greatest integer function)

The number of solution(s) of the equation $|x-3|=x^3$ is

${lim}_{x\to 0}\frac{cosax-cosbx}{coscx-cosdx}$

If $f\left(x\right)={\sin }^{6}x+{\cos }^{6}x,x\in R,$ then $f\left(x\right)$ lies in the interval

If $f\left(x\right)=\frac{x^3}{4}-\sin \pi x+3,x\in [-2,2].$Then $f\left(x\right)$ can be equal to

The curve represented by the equation Re($\frac{1}{z}$) = 2 is:

The point ([P + 1], [P]) lies in the region bounded by curves $x^2+y^2-2x-15=0$ and $x^2+y^2-2x-7=0$, {[∙] denotes greatest integer function} then

${lim}_{x\to \frac{\pi }{2}}\frac{(\frac{\pi }{2}-x)sinx-2cosx}{(\frac{\pi }{2}-x)+cotx}$

If $4{\sin }^2\theta +2(\sqrt{3}+1)\cos \theta =4+\sqrt{3}$, then the general solution is

The solution of the differential equation $e^x(x+1)dx+(y{e}^y-x{e}^x)dy=0$ with initial condition $y\left(0\right)=0,$ is

The number of pencils solds on $5$ days is visually represented as:





How many more pencils were sold on Day III than on Day IV?

The function $f\left(x\right)=\tan x$ where $x\in (\frac{-\pi }{4},\frac{\pi }{4})$.

Find the equation of the parabola that satisfies the following conditions: Focus (0, –3); directrix y = 3

Anmol was cutting a piece of paper with a pair of scissors. He observed that as he increases the angle of the scissors, the vertically opposite angle ___.

$$\begin{array}{cc}\underset{–}{ComplexNumber}& \underset{–}{PrincipalArgument\left(inradians\right)}\\ 1)1+i& a)\frac{3\pi }{4}\\ 2)1-i& b)\frac{\pi }{4}\\ 3)-1+i& c)\frac{-3\pi }{4}\\ 4)-l-i& d)\frac{-\pi }{4}\end{array}$$

If variance of first $n$ natural number is $10$ and variance of first $m$ even natural number is $16$, then the value of $m+n$ is

Number of $4$ digit numbers that can be formed using the digits $0,1,2,3,4,5$ which are divisible by $6$ when repetition of digits is not allowed are

If $f\left(x\right)=sin\left[{\pi }^2\right]x+sin[-\pi {]}^{2}x$, where [x] denotes teh greatest integer less than or equal to x, then,

The set of real values of $x$, for which $h\left(x\right)=1+2x^2+4x^4+6x^6+\cdots +100x^{100}$ is concave downward is