Explore topic-wise InterviewSolutions in Current Affairs.

Number of goals scored by Ronaldo in champions league for past 10 years are as follows. {1, 3, 8, 4, 7, 6, 10, 12, 17, 10} Find the mean deviation about the mean.

The shortest distance between the line $x-y=1$ and the curve $x^2=2y$ is :

If $A$ is an involutory matrix and $(I+A{)}^n=aI+bA,(I\text{is unit matrix}),a,b\in R.$ Then $(a+b)=$

What kind of function is f(x) =3x?

Let R be a relation on the set N of natural numbers defined by nRm

⇔ n is a factor of m (i.e. n(m). Then R is

The approximate value of $(7.995{)}^{\frac{1}{3}}$ correct to four decimal places is

A box has 7 red and 4 blue balls. Two balls are drawn at random with replacement and an event is defined as '2 red balls are drawn. Find number of favorable outcomes.

Find the
intervals in which the function f given byis

(i) increasing
(ii) decreasing

If the domain of the function $f\left(x\right)=\frac{{\cos }^{-1}\sqrt{x^2-x+1}}{\sqrt{{\sin }^{-1}\left(\frac{2x-1}{2}\right)}}$ is the interval $(\alpha ,\beta ],$ then $\alpha +\beta$ is equal to:

If $\overrightarrow{a},\overrightarrow{b},\sqrt{3}\overrightarrow{a}-\overrightarrow{b}$ are unit vectors, then acute angle between the vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ is

By considering the graph of quadratic polynomial $y=a{x}^2+bx+c$ as shown below.

Which among the following conclusions is/are correct?

If the line through $A(-2,6)$ and $B(4,8)$ is perpendicular to the the line through the points $C(8,12)$ and $D(x,24),$ then the value of $x$ is:

If $I_1{\int }_0^{\pi }\frac{sin884xsin1122x}{sinx}dx$ and $I_2{\int }_0^1\frac{x^{238}\left(x^{1768-1}\right)}{x^2-1}dx$, then $\frac{I_1}{I_2}$ is equal to

If the system of linear equations $x+y+z=6,x+2y+3z=14and2x+5y+\lambda z=\mu ,(\lambda ,\mu ϵR)$ has no solution, then

Which of the following is an identity relation on the set $A=\{a,b,c\}$?

Adjoint of matrix $A=\left[\begin{array}{cc}4& 5\\ 6& 7\end{array}\right]$ is



[2 marks]

If events $E_1,E_2,...,E_n$ represent a partition of sample space S.
Then which of the following is/are correct?

1. 10.8

Find the sum of the cubes of the first $n$ natural numbers.

If $2f\left(x^2\right)+3f\left(\frac{1}{x^2}\right)=x^2-1,$ then the domain of the function $f$ is

If normals drawn to $y^2=12x$ makes an angle of $45°$ with $x-$axis, then foot of the normals is/are

If the angles of a triangle be in the ratio 1 : 2 : 7, then the ratio of its greatest side to the least side is

Let A = {3,6,12,15,18,21},

B= {4,8,12,16,20} and C = {2,4,6,8,10,12,14,16}

Find :

(i) A - B (ii) A - C

The value of $\tan \left(2{\cos }^{-1}\frac{3}{5}\right)$ is

${lim}_{x\to 0}\frac{\sqrt{1+x}-\sqrt{1-x}}{2x}$

A particle starts from a point $z_0=1+i$, where $i=\sqrt{i}$. It moves horizontally away from origin by $2$ units and then vertically away from origin by $3$ units to reach a point $z_1$. From $z_1$ particle moves $\sqrt{5}$ units in the direction of $2\hat{i}+\hat{j}$ and then it moves through an angle of ${\text{cosec}}^{-1}\sqrt{2}$ in anticlockwise direction of a circle with centre at origin to reach a point $z_2$. The $\arg z_2$ is given by

Differentiate given problems w.r.t.x.

$si{n}^{3}x+co{s}^{6}x$.