Explore topic-wise InterviewSolutions in Current Affairs.

The points A$(-2,3,5),B(1,2,3)andC(7,0,-1)$ are _____

In an examination, question paper consists of $15$ questions with two sections $A$ and $B$ containing $6$ and $9$ questions respectively. In how many ways can a student attempt $8$ questions, selecting at least $3$ questions from each section ?

The sequence whose $n^{th}$ term is $\frac{3+(-1{)}^n}{3^n},$ is

If $a^2+b^2+c^2=1$ and $x^2+y^2+z^2=1,$ where $a,b,c,x,y,z\ge 0,$ then the maximum value of $ax+by+cz$ is

(2n +7)
< (n + 3)²

The element $a_{23}$ in the matrix $A={\left[\begin{array}{ccc}1& \omega & {\omega }^2\\ \omega & 1& {\omega }^2\\ {\omega }^2& \omega & 1\end{array}\right]}_{}$ is, (where $\omega$ and ${\omega }^2$ are cube roots of unity)

A function f(x) is given as f(x) = 5. Find the average rate of change of f(x) in the interval [1000, 1025]

Calculate the distance covered by car C before overtaking car A. [3 MARKS]

The standard deviation of first 10 natural numbers is

If $a_1,a_2,a_3$ .... a_{n} are in A. P., then the common difference is--

Find the sum to n
terms of the series

Using $4$ different elements, the number of different matrices can be formed, is

If the acute angle between two line is $\frac{\pi }{4}$ and slope of one of them

is $\frac{1}{2}$. Find the slope of the other line.

There are $n$ urns each containing $3n+1$ balls such that $i^{\text{th}}$ urn contains $i$ white, $(i+1)$ green and $(3n–2i)$ red balls. Let $U_i$ be the event of selecting $i^{\text{th}}$ urn, where $i=1,2,3,...,n$ and $G$ denotes the event of getting a green ball. If If $P\left(U_i\right)\propto i^2,$ then $\underset{n\to \infty }{lim}P\left(G\right)$ is

The value of $\int \frac{x-\sin x}{1-\cos x}dx$ is equal to

(where $C$ is integration constant)

Let $f\left(x\right)=7{\tan }^{8}x+7{\tan }^{6}x-3{\tan }^{4}x-3{\tan }^{2}x$ for all $x\in (-\frac{\pi }{2},\frac{\pi }{2}).$ Then the correct expression(s) is(are)

$\sin {47}^{\circ }-\sin {25}^{\circ }+\sin {61}^{\circ }-\sin {11}^{\circ }=$

If common tangents of $x^2+y^2=r^2$ and $\frac{x^2}{16}+\frac{y^2}{9}=1$ form a square, then the length of the diagonal of the square is

If $|x^2+3x-4|=|x+4|$, then $x=$

Let A be a non-singular square matrix of order $3\text{and}B=adj\left(adj\right(adj\left(A^{–1}\right)){)}^{–1}\text{and}C=adj(adj\left(adj\right(B^{–1}\left)\right){)}^{–1}$. Then

${lim}_{x\to \infty }{\left\{\frac{3x-4}{3x+2}\right\}}^{\frac{x+1}{3}}$

Show that the points A(1, 3, 4), B)-1, 6, 10), C(-7, 4, 7) and D(-5, 1, 1) are the vertices of a rhombus.

A.

B.

C.

D.

The domain of the function $f\left(x\right)=\sqrt{{0.625}^{4-3x}-{1.6}^{x(x+8)}}$ is

Which of the following is a complex number?

Find
the inverse of each of the matrices, if it exists.

By using
properties of determinants, show that:

(1) The sum of all the values of $r$ satisfying ${}^{39}{C}_{3r-1}{-}^{39}{C}_{r^2}{=}^{39}{C}_{r^2-1}{-}^{39}{C}_{3r}\text{is}{\alpha }_1.$



(2) If ${}^{2n+3}{C}_{2n}{-}^{2n+2}{C}_{2n-1}=15.(2n+1)$ then the value of $n$ is ${\alpha }_2.$



(3) If ${}^{56}{P}_{r+6}{:}^{54}{P}_{r+3}=30800:1$ then value of $r$ is ${\alpha }_3.$



(4) ${}^{n+2}{C}_8{:}^{n-2}{P}_4=57:16$ then the value of $n$ is ${\alpha }_4.$



$\begin{array}{cccc}& \text{List-I}& & \text{List-II}\\ \left(I\right)& \text{The value of}{\alpha }_1\text{is}& \left(P\right)& 41\\ \left(II\right)& \text{The value of}{\alpha }_2\text{is}& \left(Q\right)& 8\\ \left(III\right)& \text{The value of}{\alpha }_3\text{is}& \left(R\right)& 14\\ \left(IV\right)& \text{The value of}{\alpha }_4\text{is}& \left(S\right)& 19\end{array}$



$\text{Which of the following is only INCORRECT Combination?}$

The number of solution(s) of the equation $\tan x\tan 4x=1$ for $0<x<\pi$ is

Which of the following equations have real & equal roots
(1) $4x^2+20x+25=0$
(2) $6x^2-9x-4=0$
(3) $4x^2+9x+5=0$