Explore topic-wise InterviewSolutions in Current Affairs.

If a set has 7 proper subsets, then it contains ____ elements.

I.Q. of a person is given by $I=\frac{M}{C}\times 100$, where $M$ is mental age and $C$ is chronological age. If $80\le I\le 140$ for a group of $12$ years old children, then their mental age can be

A lady gives a dinner party for six guests. The number of ways in which they may be selected from among ten friends if wto of the friends will not attend the party together is

Differentiate the
functions with respect to x.

Find the equations of the bisectors of the angles between the coordinate axes.

Evaluate the following :

$\left(i\right)i^{457}\left(ii\right)i^{528}\left(iii\right)\frac{1}{i^{58}}\left(iv\right)i^{37}+\frac{1}{i^{47}}\left(v\right){(i^{41}+\frac{1}{i^{257}})}^9\left(vi\right)(i^{77}+i^{70}+i^{87}+i^{414}{)}^3(vii)i^{30}+i^{40}+i^{60}(viii)i^{49}+i^{68}+i^{89}+i^{110}$

$1-\frac{si{n}^2\theta }{1+cot\theta }-\frac{co{s}^2\theta }{1+tan\theta }$

Which of the following pairs of straight lines intersects at right angles?

The sides $AC$ and $AB$ of a $△ABC$ touches the conjugate hyperbola of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ at $C$ and $B.$ If the vertex $A$ lies on the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1,$ then the side $BC$ always touches

A family of lines is given by $(1+2\lambda )x+(1-\lambda )y+\lambda =0,$ $\lambda$ being the parameter. The line belonging to this family at the maximum distance from the point $(1,4)$ is

If ${(5-\sqrt{21})}^{2n+1}$ and f = R –$[\left[R\right]$, where $\left[R\right]$denotes the greatest integer less than or equal to R, then R$(1-f)$ =

Given that $tanA,tanB$ are the roots of the equation $x^2-px+q=0$, then the value of $si{n}^2(A+B)$ is

If tan A=2tanB+cotB, then 2tan(A-B)=

1. 1

The equation of the parabola whose focus is the point (0, 0) and the tangent at the vertex is x-y+1=0 is

There are two prime numbers $p$ so that $5p$ can be expressed in the form of $\left[\frac{n^2}{5}\right]$ for some positive integer $n,$ where $[.]$ denotes the greatest integer function. The sum of these two prime numbers is

If $f\left(x\right)$ is continuous and differentiable over $[-2,5]$ and $-4\le f^{\prime }\left(x\right)\le 3$ for all $x$ in $(-2,5),$ then the greatest possible value of $f\left(5\right)-f(-2)$ is

If $\left|\begin{array}{ccc}2x^2+x& 3x-5& 4x+3\\ x+5& -x^2& 6x-6\\ 2x-3& 5x+6& -3x\end{array}\right|=a{x}^5+b{x}^4+c{x}^3+d{x}^2+ex+f\forall x\in R,$ then the value of $f$ is

Pick out a demonstrative pronoun for the blank.

_____ is the school which I will go to next year.

Let u, v, w, z be complex number such that |u| < 1, |v| = 1 and $w=\frac{v(u-z)}{(\overline{u}z-1)}$ then

The number of points at which $f\left(x\right)=\frac{1}{log|x|}$ is discontinuous is.

The least and the greatest distance of the point (10, 7) for the circle $x^2+y^2–4x–2y–20=$ are

The acute angle between the lines joining the points $(0,0),(3,2)$ and $(2,2),(3,4)$ is

If f(x)=x-1/x+1 than proved that f(2x)=3f(x)+1/f(x)+3

In a $\Delta ABC$; the value of $\frac{co{s}^2\frac{B-C}{2}}{(b+c{)}^2}+\frac{si{n}^2\frac{B-C}{2}}{(b-c{)}^2}$ is

The set of values of $k$ for which the equation $x^4+(k-1)x^3+x^2+(k-1)x+1=0$ has $2$ positive and $2$ negative roots is

The comjugate of a complex number is $\frac{1}{i-1}$. Then that complex number is

Find the
direction cosines of the vector