Explore topic-wise InterviewSolutions in Current Affairs.

Let $f\left(x\right)=\ln (1+x)-x,x>0.$ Then which of the following is correct

The sum of co-efficients of all even degree terms in $x$ in the expansion of $(x+\sqrt{x^3-1}{)}^6+(x-\sqrt{x^3-1}{)}^6,(x>1)$ is equal to:

Differentiate the
functions with respect to x.

The value of $si{n}^{-1}\left(\frac{2\sqrt{2}}{3}\right)+si{n}^{-1}\left(\frac{1}{3}\right)$ is equal to-

Area lying between the curve y²
= 4x and y = 2x is

A.

B.

C.

D.

The value of the limit $\underset{x\to 0}{\lim }\frac{a^x-b^x}{x}$ a > 0, b > 0, is

$\frac{4+2x}{3}\ge \frac{x}{2}-3$

In a class of $80$ students numbered $1$ to $80$, all odd numbered students opt for cricket, students whose numbers are divisible by $5$ opt for football and students whose numbers are divisible by $7$ opt for hockey. The number of students who do not opt any of the three games, is -

What is the Area of the Rectangle?

Given:

L= 5 +/- 1 units

B= 4 +/- 2 units

(A) +/- (-14)✓ (B) +/- (-12)

(C) +/- (-16) (D) none of these

[The actual answer is 20 +/- 3 units....but the app shows option (A)]

If the roots of the equation $8x^3-14x^2+7x-1=0$ are in G.P., then the roots are

$\text{Write the number of points of intersection of the curves 2y=-1 and y=cosec x.}$

Examine the consistency of the system of equations

$5x-y+4z=5,2x+3y+5z=2,5x-2y+6x=-1$

The sum of each of two sets of three terms in A.P. is 15. The common difference of the first set is greater than that of the second by 1 and the ratio of the products of the terms in the first set and that of the second set is 7:8 the ratio of the smallest terms in two sets of terms is

Let R be the set of all real numbers and let f be a function R to R such that that $f\left(x\right)+(x+\frac{1}{2})f(1-x)=1$ for all x $ϵ$ R.Then 2f(0)+3f(1)is equal to

The line x-1=0 is the directrix of the parabola $y^2-kx+8=0$. Then one of the values of k is

The mean and variance of seven observations are $8$ and $16$ respectiveley. If $5$ of the observations are $2,4,10,12,14,$ then the product of the remaining two observations is:

Mark the correct alternative in each of the following :

$Ina\Delta ABC,ifa=2,\angle B={60}^{\circ }and\angle C={75}^{\circ },thenb=$

The vertex of the parabola $x^2+2y=8x-7$is

If $\frac{3}{5}+\frac{5}{15}+\frac{7}{45}+\frac{9}{135}+\cdots \infty =\frac{a}{b}$ (where $a,b$ are coprime), then the equation of circle with $(a,0)$ and $(0,b)$ as end points of a diameter, is

I.Q. of a person is given by $I=\frac{M}{C}\times 100$, where $M$ is mental age and $C$ is chronological age. If $80\le I\le 140$ for a group of $12$ years old children, then the range of their mental age is

The value of $\underset{x\to 1}{lim}\frac{\left(\ln \right(1+x)-\ln 2)(3\cdot 4^{x-1}-3x)}{\left(\right(7+x{)}^{1/3}-(1+3x{)}^{1/2})\sin \pi x}$ is