Explore topic-wise InterviewSolutions in Current Affairs.

A bag contains twelve pairs of socks and four socks are picked up at random. The probability that there is a least one pair is equal to

The planes: 2x −
y + 4z = 5 and 5x − 2.5y + 10z
= 6 are

(A) Perpendicular (B) Parallel (C) intersect
y-axis

(C) passes through

The reflection of the point (4, -13) about the line $5x+y+6=0$ is

If the slope of normal at any point on the curve $y=y\left(x\right)$ is propotional to the difference in its abscissa and ordinate and passing through origin, then the curve is ?

(Assume propotionality constant $=1$)

Find the equation of a curve passing through origin and satisfying the differential equation $(1+x^2)\frac{dy}{dx}+2xy=4x^2$

Let $x=my+c$ is normal to $x^2=4y$, if $k^2+mk+m=0$ has only one real value of $k$,then value(s) of $c$ is/are

If $A$ and $B$ are two non singular square matrices of same order, then $|A^{-1}BA|$ is

If the straight lines $\frac{x-1}{2}=\frac{y+1}{K}=\frac{z}{2}$ and $\frac{x+1}{5}=\frac{y+1}{2}=\frac{z}{K}$ are coplanar, then the plane(s) containing these two lines is/are

A unit vector in the plane of the vectors 2i + j + k, i - j + k and orthogonal to 5i + 2j + 6k is

If $\frac{3}{5}+\frac{5}{15}+\frac{7}{45}+\frac{9}{135}+\dots =\frac{a}{b},$ then
(where $a$ and $b$ are coprime)

Let $f:R\to R$ be a periodic function such that

$f(T+x)=1+{[1-3f(x)+3f^2(x)-f^3(x\left)\right]}^{1/3},$ where $T$ is a fixed positive number. Then period of $f\left(x\right)$ is

Rectangle is inscribed inside a semi-circle of radius $r$. The sides of rectangle with maximum area are

Two athletes A and B participate in a race along with other athletes. If the chance of A winning the race is $\frac{1}{6}$ and that of B winning the same race is $\frac{1}{8}$, then the chance that neither A nor B wins the race, is

In a triangle $ABC\angle A={60}^{\circ },\angle B={40}^{\circ }$ and $\angle C={80}^{\circ }$ If P is the centre of the circumcircle of triangle $ABC$ with radius unity, then the radius of the circumcircle of triangle $BPC$ is

If $|a|<1$ and $|b|<1$, then the sum of the series

$1+(1+a)b+(1+a+a^2)b^2+(1+a+a^2+a^3)b^3+\cdots$ is

Fifteen identical balls have to be put in five different boxes. Each box can contain any number of balls. The total number of ways of putting the balls into the boxes so that each box contains at least two balls is equal to $k$. Then which of the following is/are divisor of $k$:

If a set has 7 proper subsets, then it contains ____ elements.

The differential equation of family of curves $x^2=4b(y+b),b\in R$ is

If $A$ is a $3\times 3$ matrix and $detA=5,$ then $det\left(adjA\right)$ is equal to

If a circle $S=0$ touches the parabola $y^2=4x$ at the point $(1,-2)$ and is passing through the origin, then the radius of $S=0$ is equal to

Number of real solution $(x,y)$ of the equation $x^2+\frac{1}{x^2}=2^{1-y^2}$ is

If $f\left(x\right)=\{\begin{array}{cc}\frac{{\sin }^3\left(\sqrt{x}\right)\cdot \log (1+3x)}{{\left({\tan }^{-1}\sqrt{x}\right)}^2(e^{5\sqrt{x}}-1)x},& x\ne 0\\ a,& x=0\end{array}$

is continuous in $[0,1]$, then $a=$

If the radius of the circumcircle of the triangle $TPQ$, where $PQ$ is chord of contact corresponding to point $T$ with respect to circle $x^2+y^2-2x+4y-11=0$, is $6$ units, then minimum distance of $T$ from the director circle of the given circle is

If $t^2+t+1=0$, then ${(t+\frac{1}{t})}^2+{(t^2+\frac{1}{t^2})}^2+{(t^3+\frac{1}{t^3})}^2....+{(t^{27}+\frac{1}{t^{27}})}^2$ is equal to