Explore topic-wise InterviewSolutions in Current Affairs.

Rearrange the following sentences (A), (B), (C), (D), (E) and (F) to make a meaningful paragraph and answer the questions which follow:

Let $A$ and $B$ be two sets such that $A\cup B=A.$ Then $A\cap B$ is

Using differentials, find the approximate value of each of the following:

$(\frac{17}{81}{)}^{\frac{1}{4}}$

$(33{)}^{\frac{-1}{5}}$

The unit vector perpendicular to the plane $\overrightarrow{r}\cdot (2\hat{i}+\hat{j}+2\hat{k})=5$ is

The sum of $(1+x)+(1+x+x^2)+(1+x+x^2+x^3)+\dots$ upto $n$ terms is

Match the given functions in the first column with their first derivatives.

The 4th term of a G.P. is square of its second term, and the first term is - 3. Find its 7th term.

The image of the line $\frac{x-1}{3}=\frac{y-3}{1}=\frac{z-4}{-5}$ in the plane 2x - y + z + 3 = 0 is the line

The point where the origin has to be shifted so that the equation $y^2+4y+8x-2=0$ will not contain $y$ and the constant term is

The slope of tangent of a curve, passing through $(3,4)$ at any point is the reciprocal of twice the ordinate of the point. Then the curve also passes through:

The diameters of a circle are along $2x+y-7=0$ and $x+3y-11=0$ Then the equation of this circle, which also passes through (5,7) is

The eccentricity of the ellipse $\frac{x^2}{16}+\frac{y^2}{25}=1$ is

If two fair coins are flipped and at least one of the outcomes is known to be a head. What is the probability that both outcomes are heads?

The value of ${\log }_7\left({\log }_7\sqrt{7\left(\sqrt{7\sqrt{7}}\right)}\right)$ is:

The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then

The value of $\frac{C_1}{2}$ + $\frac{C_3}{4}$ + $\frac{C_5}{6}$ + ...... is equal to

The diameters of circles (in mm) drawn in a design are given
below:

If $\overrightarrow{a}$ is a perpendicular to $\overrightarrow{b}$ and $\overrightarrow{c},\left|\overrightarrow{a}\right|=2,\left|\overrightarrow{b}\right|=3,\left|\overrightarrow{c}\right|=4$ and the angle between $\overrightarrow{b}$ and $\overrightarrow{c}\text{is}\frac{2\pi }{3},\text{then}\left|\right[\overrightarrow{a}\overrightarrow{b}\overrightarrow{c}\left]\right|$ is equal to

Among the given options, for what value of $dx$ will the area under the curve be most precise to the true value

$\frac{1+2i+3i^2}{1-2i+3i^2}\text{equals}$

If $\underset{0}{\overset{1}{\int }}\left(\cos \right(\left[x\right]+\left[2x\right]+\left[3x\right])dx=a+b\cos 1+c\cos 2+d\cos 3,$ then which of the following statement(s) is/are true $?$

If a tangent on ellipse at $A(1,1)$ intersects its directrix at $B(7,–7)$ and $S$ be the corresponding focus of ellipse and $C(\alpha ,\beta )$ is the circumcentre of $△SAB,$ then

If $\overrightarrow{a}\times \overrightarrow{b}=\overrightarrow{a}\times \overrightarrow{c},\overrightarrow{a}\ne \overrightarrow{0}$ and $\overrightarrow{b}\ne \overrightarrow{c},$ then

The latus rectum of parabola $y^2=5x+4y+1$ is

If $x+{\log }_{10}(1+2^x)=x{\log }_{10}5+{\log }_{10}6$ then the value of $x$ is

The intercepts made on the axes by the plane which bisects the line joining the points (1, 2, 3) and (-3, 4, 5) at right angles are

Let $f$ and $g$ be differentiable function satisfying $g^{\prime }\left(a\right)=2,g\left(a\right)=b$ and $g$ is the inverse of $f$. Then $f^{\prime }\left(b\right)$ is equal to

If $co{s}^{-1}x+co{s}^{-1}y+co{s}^{-1}z=\pi \text{then prove that}{x}^2+y^2+z^2+2xy=1$ .

The value of ${\tan }^{-1}(-\sqrt{3})$ is