Explore topic-wise InterviewSolutions in Current Affairs.

If p, q, n are three positive real numbers and p > q then which of the following is correct.

10% bulbs manufactured by a company are defective. The probability that out of a sample of 5 blubs, none is defective, is

$\frac{1-i}{1+i}$ is equal to

The range of the expression $f\left(x\right)=\frac{x^3+x^2+x-3}{x-1}$ is

The angle (in degree) between the hour hand and the minute hand in a circular clock at $03:25$ hours is

The argument of the complex number $\frac{1+i}{1-i}$ where $i=\sqrt{-1}$, is

Choose the correct answer.
$\int \frac{1}{9x-4x^2}dx$ equals to
$\left(a\right)\frac{1}{9}si{n}^{-1}\left(\frac{9x-8}{8}\right)+C\left(b\right)\frac{1}{2}si{n}^{-1}\left(\frac{8x-9}{9}\right)+C\left(c\right)\frac{1}{3}si{n}^{-1}\left(\frac{9x-8}{8}\right)+C\left(d\right)\frac{1}{2}si{n}^{-1}\left(\frac{9x-8}{9}\right)+C$

Find the area of the region bounded by
the curves y = x² + 2, y = x,
x = 0 and x = 3

If the Boolen expression $(p\Rightarrow q)\iff (q\ast (\sim p\left)\right)$ is a tautology, then the Boolean expression $p\ast (\sim q)$ is equivalent to:

If $A\times B=\left\{\right(1,1),(1,2),(1,3),(3,1),(3,2),(3,3),(4,1),(4,2),(4,3\left)\right\}$ then

In a $△ABC$, if $\cos A\cos B\cos C=\frac{\sqrt{3}-1}{8}$ and $\sin A\sin B\sin C=\frac{3+\sqrt{3}}{8}$, then



The value of $\tan A+\tan B+\tan C$ is

Let $\alpha ,\beta$ be the roots of the quadratic equation $3x^2+10x+2=0$, then the quadratic equation whose roots are $\frac{\alpha }{\alpha +5},\frac{\beta }{\beta +5}$, is

If,
find the values of x
and y.

If $y=\sqrt{\frac{1-\cos 2x}{1+\cos 2x}},x\in \left(0,\frac{\pi }{2}\right)\cup \left(\frac{\pi }{2},\pi \right)$, then $\frac{dy}{dx}$ is equal to

If curve $\frac{dy}{dx}=\frac{y^2\cot x}{2(1-y\ln \sqrt{\sin x})}$ passes through $(\frac{\pi }{2},10)$ and $x\in (0,\pi )$ then $\left[\frac{y\left(\frac{\pi }{3}\right)}{10}\right]=$, where $[.]$ is the greatest integer function

Write the value of ${lim}_{x\to \infty }\frac{1+2+3+\cdots +n}{n^2}$

The value of the integral ${\int }_3^6\frac{\sqrt{x}}{\sqrt{9-x}+\sqrt{x}}dxis$

If $lo{g}_a\left(ab\right)=x$, then $lo{g}_b\left(ab\right)$ is equal to

If the points A,B and C have position vectors (2,1,1), (6,-1,2) and (14,-5,P) respectively and if they are collinear, then P =

Evaluate the Given limit:

Which of the following set of values of $x$ satisfies the equation $2^{2{\sin }^{2}x-3\sin x+1}+2^{2-2{\sin }^{2}x+3\sin x}=9$
(where $n\in Z$)

The co-efficent of $a^8{b}^4{c}^9{d}^9$ in $(abc+abd+acd+bcd{)}^{10}$ is

If there are exactly two distinct linear functions which map's from $[-1,1]\text{to}[0,2].$ Then those functions are

(a) A ball is dropped from a height of 30m. After striking the surface it rises to $\frac{2}{3}$ of its height. Again it falls on the surface and this time it covered only $\frac{2}{5}$ of its previous height. It continued for next two times and it only covered half of its previous height. Find the distance covered by the ball.

(b) Which of the following inequalities are correct?

(i) $\frac{-1}{5}<\frac{-3}{5}$

(ii) $\frac{-3}{5}<\frac{-1}{5}$

(iii) $\frac{3}{5}>\frac{1}{5}$

[4 MARKS]

Let ${\cos }^{-1}\left(x\right)+{\cos }^{-1}\left(2x\right)+{\cos }^{-1}\left(3x\right)=\pi .$ If $x$ satisfies the cubic equation $a{x}^3+b{x}^2+cx-1=0,$ then $a+b+c$ has the value equal to

If the angle of intersection of the circles $x^2+y^2+x+y=0$ and $x^2+y^2+x-y=0$ is $\theta$, then the equation of the line passing through $(1,2)$ and making an angle $\theta$ with the $y$-axis is

Let the $n^{th}$ terms of an A.P., G.P. and H.P. be $a,b,c$ respectively. If the first and the $(2n-1{)}^{th}$ terms of the A.P., G.P. and H.P. are equal, then which of the following is/are correct?

The number of ways in which six + signs and four – signs can be arranged in a row so that no two – sings occur together is

Which of the following is a valid first order formula? (Here $\alpha$ and $\beta$ are first order formulae with x as their only free variable)

If A = (a, b, c), B = (x, y, z). Find B $\times$ A

Find the adjoint of given matrix.

$\left[\begin{array}{ccc}1& -1& 2\\ 2& 3& 5\\ -2& 0& 1\end{array}\right]$

If two ropes of equal length are divided into $18$ and $27$ pieces of equal size, then the length of the ropes can be

If the value of determinant $\left|\begin{array}{ccc}-16& 20& 36\\ 20& -25& 45\\ 36& 45& -81\end{array}\right|$ is $\Delta ,$ then $\sqrt{\Delta }$ equals to