Explore topic-wise InterviewSolutions in Current Affairs.

If the Nominal GDP is Rs 1,200 and Price Index (with base = 100) is 120. Calculate Real GDP.

Three children are selected at random from a group of 6 boys and 4 girls. It is known that in this group exactly one girl and one boy belong to same parent. The probability that the selected group of children have no blood relations, is equal to

If the roots of $a(b-c)x^2+b(c-a)x+c(a-b)$ = 0 be equal then a,b,c are in

If a,b,c are in A.P., then $\frac{a}{bc},\frac{1}{c},\frac{2}{b}$ are in

If $z=1+\cos \frac{6\pi }{5}+i\sin \frac{6\pi }{5}$ , then

Let A $(\frac{1}{2},0),B(\frac{3}{2},0),C(\frac{5}{2},0)$ be the given points and P be a point satisfying max (PA+PB,PB+PC)< 2.

The area of the region of the point P is

Equation of line passing through the point (2, 3, 1) and parallel to the line of intersection of the plane x – 2y – z + 5 = 0 and x + y + 3z = 6 is

Find the general situation of $si{n}^{-1}\left(dy/dx\right)=x+y$ using variable separable method.

If $\overrightarrow{A}$ = $3\hat{i}+\hat{j}+2\hat{k}$ and $\overrightarrow{B}$ = $2\hat{i}-2\hat{j}+4\hat{k}$ then find the value of $|\overrightarrow{A}\times \overrightarrow{B}|$.

Find the values of m for which the roots of quadratic equation $x^2$ - (m - 3) x + m = 0 lies between 1 and 2.

If $\cos \alpha +2\cos \beta +3\cos \gamma =\sin \alpha +2\sin \beta +3\sin \gamma =0,$ then

The complete solution set of $4\cot 2\theta ={\cot }^2\theta -{\tan }^2\theta$ is

Find the distance between the points P and Q having coordinates (-2, 3, 1) and (2, 1, 3.)

Differentiate the following questions w.r.t. x.

$e^{x^3}$

Find the principal values of the following questions:

$ta{n}^{-1}(-1)$

Evaluate the definite integrals.
${\int }_1^2(4x^3-5x^2+6x+9)dx$

$\int \frac{x}{\sqrt{x}+1}dx$

Evaluate the definite integrals.
${\int }_0^1\frac{1}{\sqrt{1+x}-\sqrt{x}}dx.$

$co{s}^{-1}\left(cos\frac{7\pi }{6}\right)$ is equal to
a) $\frac{7\pi }{6}$
b) $\frac{5\pi }{6}$
c) $\frac{\pi }{3}$
d) $\frac{\pi }{6}$

If A ={1,2,3,4}, define relations on A which have properties of being
(i) Reflexive, transitive but not symmetric.

(ii) symmetric but neither reflexive nor transitive.

(iii) reflexive,symmetric and transitive.

Show that the semi-vertical angle of the right circular cone of given surface area and maximum volume is $si{n}^{-1}\left(\frac{1}{3}\right)$

Prepare double column cash book from teh following information for September 2010

$\begin{array}{ccc}& & \text{Rs.}\\ 1& \text{Cash in hand}& 7,500\\ & \text{Bank overdraft}& 3,500\\ 3& \text{Paid wages}& 200\\ 5& \text{Cash sales}& 7,000\\ 10& \text{Cash deposited into bank}& 4,000\\ 15& \text{Goods purchased and paid by cheque}& 2,000\\ 20& \text{Paid rent}& 500\\ 25& \text{Drew from bank for personal use}& 500\\ 30& \text{Salary paid}& 1,000\end{array}$

Let ‘E’ be the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$ and 'C' be the circle $x^2+y^2=9$. Let P and Q be the points (1, 2) and (2, 1) respectively. Then:

The greatest integer among following by which the number 5^5+7^5 is divisible?

a) 6

b) 8

c) 11

d) 12

I am not sure from which chapter this question belongs to.....

If cos(a+b)=4/5, sin(a-b)=5/13 and 0<a,b<pi/4, then tan2a=?

$ta{n}^{-1}a+ta{n}^{-1}b$, where a>0,b>0,ab>1, is equal to

The value of $(127{)}^{1/3}$ to four decimal places is

Minimize Z = x + 2y, subject to constraints are 2x + y $\ge$ 3, x + 2y $\ge$ 6 and x, y $\ge$ 0. Show that the minimum of Z occurs at more than two points.

The odds against a certain event is 5 : 2 and the odds in favour of another event is 6 : 5. If both the events are independent, then the probability that at least one of the events will happen is

Let $z_1$ satisfy the condition $|z-3|=2$ and $z_2$ satisfy the equation $|z-1|+|z+1|=3$. If $|z_1-z_2{|}_{min}=m$ and $|z_1-z_2{|}_{max}=M$, then which of the following is/are correct?

The vectors $\overrightarrow{x}$ and $\overrightarrow{y}$ satisfy the equation $p\overrightarrow{x}+q\overrightarrow{y}=\overrightarrow{a}$ (where $p,q$ are scalar constants and $\overrightarrow{a}$ is a known vector). It is given that $\overrightarrow{x}.\overrightarrow{y}\ge \frac{|\overrightarrow{a}{|}^2}{4pq}$, then $\frac{|\overrightarrow{x}|}{|\overrightarrow{y}|}$ is equal to ($pq>0$)

Foot of the perpendicular drawn from the point $(1,3,4)$ to the plane $2x–y+z+3=0$ is

If a, b, c are in AP, prove that $(a-c{)}^2=4(b^2-ac)$.

Prove that: $si{n}^2\frac{\pi }{18}+si{n}^2\frac{\pi }{9}+si{n}^2\frac{7\pi }{18}+si{n}^2\frac{4\pi }{9}=2$

If $\alpha ,\beta$ are different values of x satisfying a cos x + b sin x = c then $tan\left(\frac{\alpha +\beta }{2}\right)=$

Mark the correct alternative in each of the following :

$Inany\Delta ABC,\text{the value of 2ac}sin\left(\frac{A-B+C}{2}\right)is$

Let $f:R^{+}\to R$, where $R^{+}$ is the set of all positive real numbers, be such that $f\left(x\right)=lo{g}_{e}x$, Determine
i) The image set of the domain of f
ii) $\{x:f(x)=-2\}$
iii) Whether $f\left(xy\right)=f\left(x\right)+f\left(y\right)$ holds.

For all complex numbers $z_1,z_2$ satisfying $|z_1|=12$ and $|z_2-3-4i|=5$, the minimum value of $|z_1-z_2|$ is

If $sin\theta =\frac{3}{5},tan\theta =\frac{1}{2}and\frac{\pi }{2}<\theta <\pi <=\frac{3\pi }{2},$ find the value of 8 $tan\theta -\sqrt{5}sec\varphi$.

Find the points on z-axis which are at a distance $\sqrt{21}$ from the point (1, 2, 3)

A man is known to speak truth 3 out of 4 times. He throws a dice and reports that it is a six. The probability that it is actually a six is: