Explore topic-wise InterviewSolutions in Current Affairs.

In the following series, you will be looking at both the letter pattern and the number pattern. Complete the Series using appropriate option given below

निम्नलिखित श्रृंखला में, आप अक्षर पैटर्न और संख्या पैटर्न दोनों देख रहे होंगे। नीचे दिए गए उचित विकल्प का उपयोग करके श्रृंखला को पूरा करें

Q. SCD, TEF, UGH, ____, WKL

A group of students decided to buy a Alarm Clock priced between Rs. 170 to Rs 195. But at the last moment, two students backed out of the decision so that the remaining students had to pay 1 Rupee more than they had planned. If the students paid equal shares, the price of the Alarm Clock is

Calculate the area of the triangle determined by the two vectors $\overrightarrow{A}=3\hat{i}+4\hat{j}and\overrightarrow{B}=-3\hat{i}+7\hat{j}$

If A and B are two independent events such that $P(A\cap B)=\frac{1}{6}$ and $P(\overline{A}\cap \overline{B})=\frac{1}{3},$ then write the values of P(A) and P(B).

Find the ratio in which the line $3x+4y+2=0$ divides the distance between the lines $3x+4y+5=0$ and $3x+4y-5=0$.

Find the area of the region $\left\{\right(x,y);y^2\le 4x,4x^2+4y^2\le 9\}.$

Let $f:(1,3)\to R$ be a function defined by $f\left(x\right)=\frac{x\left[x\right]}{x^2+1}$, where $\left[x\right]$ denotes the greatest integer $\le x$. Then the range of $f$ is :

Write the eccentricity of the hyperbola whose latus-retum is half of its transverse axis.

If the parabola $y^2=4ax$ passes through the point (3,2),then find the length of its latusrectum.

Give three examples of sentence which are not statements. Give reasons for the answers.

The direction ratios of normal to the plane through the points $(0,-1,0)$ and $(0,0,1)$ and making an angle $\frac{\pi }{4}$ with the plane $y-z+5=0$ are :

Let $x^2$ - (m - 3) x + m = 0, m ∈ R be a quadratic equation. The values of m for which both roots lie in between 1 and 2 is given by

A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y) : the difference between x and y is odd, $xϵA,yϵB$}.

Write R in Roster form.

If A = {1, 3, 5, 7, 9, 11, 13, 15, 17}, B ={2, 4, ......, 18} and N, the set of natural numbers is the universal set, then $(A^{\prime }\cup [(A\cup B)\cap B^{\prime }\left]\right)$ is

The term independent of x in the expansion of $(1+x{)}^n(1+\frac{1}{x}{)}^n$ is :

$\int \frac{dx}{x^2-6x+13}=$

Let $A$ be a non-empty set such that $A\times A$ has $16$ elements among which three elements are found to be $(a,b),(b,c)$ and $(c,d)$ and $I_A$ be the identity relation on $A,$ then

Find the equation of the straight line which passes through the point (1, 2) and makes such an angle with the positive direction of x-axis whose sine is $\frac{3}{5}.$

If $\cos y\cos (\frac{\pi }{2}-x)-\cos (\frac{\pi }{2}-y)\cos x+\sin y\cos (\frac{\pi }{2}-x)+\cos x\sin (\frac{\pi }{2}-y)=0$, then which of the following is correct

Consider a LPP given by
Min Z = 6x + 10y
Subjected to x ≥ 6 ; y ≥ 2;
2x + y ≥ 10; x, y ≥ 0
Redundant constraints in this LPP are

Choose the correct statement:

Find the coordinates of the orthocentre of the triangle whose vertices are $(-1,3),(2,-1)$ and $(0,0)$.

Let,
$A=\left[\begin{array}{ccc}4& 6& -1\\ 3& 0& 2\\ 1& -2& 5\end{array}\right],B=\left[\begin{array}{cc}2& 4\\ 0& 1\\ -1& 2\end{array}\right]$
$\text{and}C=\left[\begin{array}{ccc}1& 2& 3\end{array}\right]$
The expression which is not defined is:

If a complex number $z$ satisfies $|2z+10+10i|<5\sqrt{3}-5$, then the least principal argument of $z$ is

If sin(A + b) = sinAcosB + cosAsinB, then value of sin75^o is:

When was India's first official census operation undertaken?

Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:

If the tangent to the curve, $y=x^3+ax-b$ at the point $(1,-5)$ is perpendicular to the line, $-x+y+4=0$, then which one of the following points lies on the curve?

If $tan\theta =\sqrt{\frac{3}{2}}$, the sum of the infinite series 1 + 2 $(1-cos\theta )+3(1-cos\theta {)}^2+4(1-cos\theta {)}^3+....\infty$ is

On the set of real numbers which of the following definitions of * defined a binary operation ?

Write the value of $li{m}_{x\to 0}\frac{f\left(x\right)-f\left(x\right)}{x-c}$

Calculate Net National Product at Factor Cost and Gross National Disposable Income from the following:

$\begin{array}{cc}& \\ & \text{(Rs in crores)}\\ \text{(i) Net current transfers to}& 10\\ \text{the rest of the world}& \\ \text{(ii) Savings of non-departmental}& 60\\ \text{enterprises}& \\ \text{(iii) Net indirect tax}& 90\\ \text{(iv) Income from property and enterpreneurship}& 80\\ \text{accruing to the government administrative departments}& \\ \text{(v) Consumption of fixed capital}& 70\\ \text{(vi) Personal tax}& 100\\ \text{(vii) Corporation tax}& 40\\ \text{(viii) National debt interest}& 30\\ \text{(ix) Current transfer payments by Government}& 50\\ \text{(x) Retained earnings of private corporate sector}& 10\\ \text{(xi) Personal disposable income}& 1,100\end{array}$

The value of x, where x > 0 and $tan\left(se{c}^{-1}\left(\frac{1}{x}\right)\right)=sin\left(ta{n}^{-1}2\right)$ is

If $x^y=e^{x-y}$ then $\frac{dy}{dx}$ is equal to

If $\cot \theta -pq\tan \theta =p-q;p,q\ne 0$, then the general value of $\theta$ is

How many three digit numbers can be formed by using the digits 0, 1, 3, 5, 7 while each digit may be repeated any number of times ?

2(1-2 $si{n}^{2}7\theta$) $sin3\theta$ is equal to

The value of lies in the interval,

The derivative of ${\tan }^{-1}\left(\frac{\sin x-\cos x}{\sin x+\cos x}\right),$ with respect to $\frac{x}{2},$ where $(x\in (0,\frac{\pi }{2}))$ is:

1. $\text{M L}{}^2\text{T}{}^{-4}$
2. $\text{M L}\text{T}{}^{-3}$
3. $\text{M L}{}^3\text{T}{}^{-3}$
4. $\text{M L}{}^2\text{T}{}^{-3}$