Explore topic-wise InterviewSolutions in Current Affairs.

The equation x log x = 3 - x has, in the interval (1, 3),

The maximum value of ${\left(\frac{1}{x}\right)}^x$ is

1. 1.93

Value of $\underset{x\to 0}{lim}\frac{x\log (1+7x)}{1-\cos 3x}=$

The number of solutions of the equation $3^x=4-x^2$ is

The radius of a circle is increasing at the rate of 0.7 cm/s What is the rate of increase of its circumference?

Find the area under given curves and given lines.

(a) $y=x^2;x=1,x=2$ and X - axis (b) $y=x^4;x=1,x=5$ and X - axis.

Find out Gross National Product at Market Price.

$\begin{array}{cc}& \text{(Rs. in crore)}\\ \text{(i) Private final}& 1,000\\ \text{consumption expenditure}& \\ \text{(ii) Depreciation}& 100\\ \text{(iii) Net national}& 1,500\\ \text{disposable income}& \\ \text{(iv) Closing Stock}& 20\\ \text{(v) Government final}& 300\\ \text{consumption expenditure}& \\ \text{(vi) Net indirect tax}& 50\\ \text{(vii) Opening stock}& 20\\ \text{(viii) Net domestic fixed}& 110\\ \text{capital formation}& \\ \text{(ix)Net exports}& 15\end{array}$

$\text{The value of}{lim}_{x\to 0}\frac{1-co{s}^{3}x}{xsinxcosx}$

The number of Non-differentiable points of the function $f\left(x\right)=|5^{|x|}-4|$ is

If $f\left(x\right)=\frac{1-\sin x}{\sin 2x},x\ne \frac{\pi }{2}$ is continuous at $x=\frac{\pi }{2},$ then the value of $f\left(\frac{\pi }{2}\right)$ is

The range of $\theta$ for which $2{\cos }^2\theta +\sin \theta \le 2$ if $\theta \in \left(\frac{\pi }{2},\frac{3\pi }{2}\right]$ is

If $z$ and $\omega$ are two complex numbers such that $|z\omega |=1$ and $\arg \left(z\right)-\arg \left(\omega \right)=\frac{\pi }{2},$ then

1. 3

If $\theta$ is the amplitude of $\frac{a+ib}{a-ib},\text{then tan}\theta$

Let $a,b,cϵR$. If $a{x}^2+bx+c=0$ has two real roots $A$ and $B$ where $A<-1$ and $B>1$, then

Let S be the set of all rational numbers except 1 and * be defined on S by a * b = a + b $-$ ab, for all a, b $\in$ S.

Prove that:

(i) * is a binary operation on S

(ii) * is commutative as well as associative. [CBSE 2014]

The value of $sin\theta +cos\theta$ will be greatest when

The sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ....., is ___.

If two sets $A$ and $B$ are such that $n\left(A\right)=20$, $n(A\cap B)=4$, and $n(A\cup B)=42$, then

The length of the diameter of the circle which touches the $x$ -axis at the point $(1,0)$ and passes through the

point $(2,3)$ is :

If $\underset{n\to \infty }{lim}\frac{n^2\cdot 2^n}{n^2(x-5{)}^n+n^2\cdot 2^{n+1}+99}=\frac{1}{2}$, then the range of $x$ is

A person goes to office by car,train,bus or scooter the probability of which being $\frac{1}{7},\frac{3}{7},\frac{2}{7},\frac{1}{7}$ respectively. Probability that he reaches office late if he takes car,train,bus or scooter is $\frac{2}{9},\frac{1}{9},\frac{4}{9}$,and $\frac{1}{9}$ respectively.Given that he reached office on time what is the probability that he travelled by car?

Let $A=\{x:x\ne 0,-4\le x\le 4\}$ and $f:A\to R$ be defined by $f\left(x\right)=\frac{|x|}{x}$, then the range of $f$ is

A survey conducted in a city reveals that $48$% children like cricket while $77$% children like football. Then the percentage of children who like both cricket and football can be

The set of solutions for $\frac{3+x}{3-x}\ge 0$ is

How many different numbers of six digits can be formed from the digits 3,1,7,0,9,5 when repetition of digits is not allowed ?

If the points A(9, 8, -10), B(3, 2, -4) and C(5, 4, -6) be collinear, then the point C divides the line AB in the ratio

1. 6

equals

Parametric equation of the circle $x^2+y^2-6x+8y+16=0$ are

Two circles, each of radius 5 units, touch each other at (1, 2). If the equation of their common tangent is 4x + 3y – 10 = 0 then equation of one such circle is

Suppose a population A has 100 observations 101, 102,……200 and another population B has 100 observation 151, 152….., 250. If $V_A,V_B$ represent the variances of the two populations respectively, then $\frac{V_A}{V_B}$ is

In a community it is found that $52\%$ people like prime video and $73\%$ like Netflix and $x\%$ like both, then $x$ can be