Explore topic-wise InterviewSolutions in Current Affairs.

Give possible expression for the length and breadth of the rectangle having $35y^2+13y-12$ as its area.

If $x^g$+$\frac{1}{x^a}$ is a polynomial in one variable and if it is given that g = a, for what value of 'a' is this a polynomial?

In the circle given below which point(s) has/have a chord of contact.

Two rectangular sheets, each of sides 10 centimetres and 6 centimetres are rolled to form cylinders one along the longer edge and the other along the shorter edge, to make two cylindrical cans. Which has the larger capacity?

In a right triangle ABC, if sin A = 3/5, what is cos A?

Question 4

Represent $\sqrt{9.3}$ on the number line.

In fig. if x>y, show that LM > LN.

Find the identity of the operation a ${}^{\ast }$ b = $\frac{ab}{4}$

Consider the following three statements.

Statement-1 : The x-coordinate is called ordinate.

Statement-2 : The y-coordinate is called abscissa.

Statement-3 : To express the coordinates of a point in the cartesian plane, the abscissa comes first and then the ordinate comes.

Which of the following is true?

A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD and AD are P, Q, R and S respectively.

If quadrilateral ABCD is a rectangle, what can be said about quadrilateral PQRS?

The x-intercept of the line 3y = 12 is

Using coordinates geometry prove that diagonals of a rhombus are perpendicular to each other

When $q\left(x\right)=2x^3-5x^2+3x+7$ is divided by $x+2$, then the remainder is $R_1$. The value of $R_1^2$ is

Which of the following options is equal to the given expresssion?

$\frac{cot({90}^{\circ }-\theta )}{cose{c}^2\theta }\times \frac{sec\theta .co{t}^3\theta }{si{n}^2({90}^{\circ }-\theta )}$

What should come in the blank in the following sequence?

1, 4, 27, 16, ___, 36

The percentage of attandance of different class in a year in a school is given below:

$\begin{array}{ccccccc}\text{Class}& X& IX& VIII& VII& VI& V\\ \text{Attendance}& 30& 62& 85& 92& 76& 55\end{array}$

What is the probability that the class attendence is more than 75%?

If $a+b+c=8$ and $ab+bc+ca=20$, then the value of $a^3+b^3+c^3–3abc$ is ___

$P_1\left(x\right)=3x^2+10x+8$ and
$P_2\left(x\right)=x^3+x^2+2x+t$
are two polynomials.
When one of the factors of $P_1\left(x\right)$ divides $P_2\left(x\right)$, 2 is the remainder obtained.

That factor is also a factor of the polynomial $P_3\left(x\right)=(x+2)2$.

Find the value of ‘t’.

The radius and the height of a right circular cone are in the ratio 5:12.If its volume is 314 cubic metre,find the slant height and radius $(Use\pi =3.14)$

A metal pipe is 77 cm long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm.

(i) Inner curved surface area,

(ii) Outer curved surface area,

(iii) Total surface area.

The number of cubes of side 3 cm that can be cut from a cuboid of dimensions $9cm\times 9cm\times 6cm,$ is

The value of $x$ which will satisfy the equation:

$x\times cos\left(a\right)\times cos({90}^{\circ }-a)\times tan({90}^{\circ }-a)\times sec\left(a\right)\times cosec\left(a\right)\times tan\left(a\right)=1$ is ___

If $sin\theta =\frac{4}{5}$, find the value of $cos\theta$ and $tan\theta$ .

Question 115(vi)

Express the following in standard form:
Express 5 tonnes in g.

In a circle of radius 7 cm, the distance of a chord of length 9 cm from the centre is