Explore topic-wise InterviewSolutions in .

Find the remainder when $f\left(x\right)=3x^4+2x^3-\frac{x^2}{3}-\frac{x}{9}+\frac{2}{27}$ is divided by $g\left(x\right)=x+\frac{2}{3}$.

If there are 5 people in the height range 170-175 cm in a class of 50 people, the percentage of people in the height range 170-175 cm is__________.

The median of the distribution $2,3,4,7,5,1,6$ is:

In the given figure, if $\angle DOB$ = 2x - 5° and $\angle AOC$ = 85°, then x = ___.

The time taken, in seconds, to solve a problem by each of 25 pupils is as follows:

16, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 53 ,58, 59, 60, 64, 52, 20

(a) Constuct a frequency distibution fof these data, using a class interval of 10 seconds.

(b) Draw a histogram to represent the frequency distribution .

If there are two triangles, $△$ABC and $△$PQR, such that, AB = QR, BC = PR and CA = PQ, then ___.

Question 2 (i)

Simplify $(3+\sqrt{3})(2+\sqrt{2})$ .

The slant height of a cone with radius 15 cm and height 20 cm is

The mean $\overline{x}$ of a grouped data is given by:

In the figure, $\angle 1={60}^0$ and $\angle 2={\left(\frac{2}{3}\right)}^{th}$ of a right angle. Prove that l ||m.

Refer to the figure given. What is the length of the shadow that is formed by the stick AB?

Following frequency distribution gives the weights of the students of a class.

$\begin{array}{cccccccccc}\text{Weight(in kg)}& 31-35& 36-40& 41-45& 46-50& 51-55& 56-60& 61-65& 66-70& 71-75\\ \text{Number of students}& 3& 6& 13& 9& 11& 7& 4& 2& 1\end{array}$

Find the probability of

(i) choosing a student at random whose weight is atmost 40kg

(ii) choosing a student at random whose weight is greater than 40kg but less than 60kg

(iii) choosing a student at random whose weight is greater than 60kg [3 MARKS]

A part of monthly expenses of a family on milk is fixed which is 1700rs and the remaining varies with the quantity of milk taken extra at the rate of 42rs per liter . taking the quantity of milk required extra as x litters and total expenditure on milk is y rs . write a linear equation in standard form.

Condition satisfied by 2x +3y = -5 and 4x +6y -10 = 0 is:

Anita and Divya preparing for their exam.
Anita says that:
$3\times 5\frac{1}{5}=\frac{78}{5}$.
But, Divya says:
$3\times 5\frac{1}{5}=\frac{76}{5}$.
Which of them is right? ___

Match the following decimal forms to their correct $\frac{p}{q}$ form.

The inclination of the line root3x-y+3=0 with the positive X-axis is

Given $△$ DEF $\sim$ $△$ABC. If AB = 3 cm, BC = 2 cm, CA = 2.5 cm and EF = 4 cm, then the perimeter of $△$DEF is ____.

In order to find the slope of a given straight line , choose two points on the line, separated by a distance _________ the length of the line.

A straight line is an angle with ___ measurement.

In $\Delta PQR$, the angle bisectors of $\angle PQR$ and $\angle PRQ$ meet at O.

If $\angle QPR={80}^{\circ }$, find the measure of $\angle QOR$

The father of your father or mother is your

$IfA=\left[\begin{array}{ccc}2& 1& 3\\ 1& 4& 5\\ 3& 5& 6\end{array}\right]B=\left[\begin{array}{ccc}1& 4& 5\\ 4& 2& 7\\ 5& 8& 3\end{array}\right]$ then which of the following is correct?

The volume of a cuboid is x³ – x² – 2x cubic units. If x=5 what are the dimensions?

In the figure, ABCD is a parallelogram, AB and BC are equal to 15 cm and 6 cm respectively. If DF = 4 cm, what is the value of BE?

Quantity is directly proportional to price, then find the constant of proportionality.

If the sum of two numbers is $55$ and the $\text{H.C.F.}$ and $\text{L.C.M.}$ of these numbers are $5$ and $120$ respectively, then the sum of the reciprocals of the numbers is equal to

When light rays approach the slits as shown in the figure below making an angle $\theta$ with the central axis, the fringe width will be given by :

In a triangle ABC, angle A- angle B=33degree and angle B- angle C=18 degree, then the measure of angle B is?