Explore topic-wise InterviewSolutions in Current Affairs.

A fortune teller has numbers from $1-7$ in his box. He draws $3$ numbers from it. What is the probability that the number picked is of alternate order as odd-even-odd or even-odd-even?

What best can be concluded about the number of candidates sitting for the separate test for BIE who were at or above the 90th percentile overall in CET?

What will be quadratic equation in x when the roots have arithmetic mean A and the geometric mean G?

What will be the equation of that chord of hyperbola $25x^2-16y^2=400$, whose mid-point is (5, 3)?

If one end of diameter of the circle $x^2+y^2–6x+4y–12=0$ is (7, -5) , then other end of diameter is

Calculate the APP and MPP of a factor from the following table of its TPP schedule :

$\begin{array}{ccccccccc}\text{Level of Factor}& 0& 1& 2& 3& 4& 5& 6& 7\\ \text{Employment}& & & & & & & & \\ \text{TPP}& 0& 5& 12& 20& 28& 35& 40& 42\end{array}$

Sin⁴theta/ p + cos⁴theta/q = 1/p+m

PT: sin^2m+2 theta/ p^{​​​​​​m} + cos^{​​​​2m+2}theta/ q^{​​​​​​m} = 1/(p+q)^m

$sinnx={\sum }_{r=0}^n{a}_{r}si{n}^{r}x$ where n is an odd natural number, then

If $z=\sqrt{\frac{1+i}{1-i}},$ then the modulus of $z$ is

How many different numbers of six digits each can be formed from the digits 4, 5,6, 7, 8, 9 when repetition of digits is not allowed?

If the line $ax+by+c=0,ab\ne 0$, is a tangent to the curve $xy=1-2x$, then

Find direction cosines of y-axis.

The general solution of the differential equation $x\frac{dy}{dx}+2y=x^2$ is y= .

The value of $\frac{1}{2-3i}+7+8i$ is

Values of x for which the sixth term of the expansion of
$E={(3^{lo{g}_3\sqrt{9^{|x-2|}}}+7^{\left(\frac{1}{5}\right)lo{g}_7\left[\right(4){.3}^{|x-2|}-9]})}^7$ is 567, are

Area of the triangle formed by the lines x-y=0, x+y=0 and any tangent to the hyperbola
$x^2-y^2=a^2$ is

The complete solution set of the inequality ${\log }_5(x^2-2)<{\log }_5(\frac{3}{2}|x|-1)$ is

A hyperbola passing through origin has 3x – 4y – 1=0 and 4x – 3y – 6 = 0 as its asymptotes. Then the equations of its transverse and conjugate axes are

What is inverse trigonometric functions?

Air is being pumped into a spherical balloon at a constant rate such that its radius increases constantly with respect to time according to the equation $r\left(t\right)=0.5t^2+r_{\circ },$ (where $r$ is in $\text{cm},t$ is in $\text{minute}$ and $r_{\circ }$ is the initial radius of the balloon). Then the rate of change of its volume after $2\text{minute}$ is

(Assume that the initial radius of the balloon is $2\text{cm}$)

The number of real or complex solutions of $x^2-6|x|+8=0$ is

There are 6 red balls and 8 green balls in a bag. 5 balls are drawn at random and placed in a red box, the remaining 9 balls are put in a green box. The probability that the number of red balls in the green box plus the number of green balls in the red box is not a prime number is

A variable chord is drawn through the origin to the circle $x^2+y^2-2ax=0$. Locus of the centre of the circle drawn on this chord as diameter is

The equation of the line with slope $-\frac{3}{2}$ and which is concurrent with the lines $4x+3y-7=0$ and $8x+5y-1=0$ is

Let P$(6,3)$ be a point on the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$.If the normal at the point P intersects the x axis at (9, 0) , then the eccentricity of the hyperbola is:

In a three dimensional space the equation $x^2-5x+6=0$ represents

Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B(4, 5) and C(6, 3).

The middle point of the line segment joining (3, -1)and (1, 1) is shifted by two units (in the sense of increasing y) Perpendicular to the line segment. Then, the coordinates of the point in the new position are

For the matrix, $A=\left[\begin{array}{cc}1& 5\\ 6& 7\end{array}\right]$, verify that
(A-A')is a skew-symmetric matrix.

Find the value of k, if area of triangle is 4 sq unit and vertices are

$(k,0),(4,0)(0,2)$

$(-2,0),(0,4),(0,k)$

The value of the expression $1.(2-w)(2-w^2)+2.(3-w)(3-w^2)+..........+(n-1)(n-w)(n-w^2),$
where ω is an imaginary cube root of unity , is

If then x is

${\int }_0^{\frac{2}{3}}\frac{1}{4+9x^2}dx=$

If $\overrightarrow{u}=3\hat{i}-5\hat{j}+9\hat{k}\text{and}\overrightarrow{v}=3\hat{i}+4\hat{j}+0k;$ What is the component of $\overrightarrow{u}$ along the direction of $\overrightarrow{v}$?

Tara is the little in purple dress and this is her family. How is her father's sister related to her?

If the system of linear equations
$2x+2y+3z=a$
$3x-y+5z=b$
$x-3y+2z=c$
where $a,b,c$ are non-zero real numbers, has more than one solution, then:

Prove that:
(i) $\frac{1}{sin(x-a)sin(x-b)}=\frac{cot(x-a)-cot(x-b)}{sin(a-b)}$
(ii) $\frac{1}{sin(x-a)cos(x-b)}=\frac{cot(x-a)+tan(x-b)}{cos(a-b)}$

If $\left[2sinx\right]+\left[cosx\right]=-3$ then the range of the function $f\left(x\right)=sinx+\sqrt{3}cosxin[0,2\pi ]$ is (where $[\cdot ]$ denotes greatest integer function)

A die is rolled four times. If the probability that product of first 3 outcomes is equal to fourth outcome is p, then $\left[\frac{1}{\sqrt{p}}\right]$ is equal to (where [.] denotes greatest integer function) ___.

The equation of the plane containing the line of intersection of the planes 2x - y = 0 and y - 3z = 0 and perpendicular to the plane 4x + 5y - 3z - 8 = 0 is

There are $2n$ terms in an A.P., whose first term is $a$ and common difference is $d$. The sum of the odd terms is $24$ and the sum of the even terms is $30$. If the last term exceeds the first term by $10\frac{1}{2}$, then which of the following is (are) CORRECT?