Explore topic-wise InterviewSolutions in Current Affairs.

What is the surface area of the cuboidal box which is open at the top, if:
$l=$ length of the cuboid,
$b=$ breadth of the cuboid and
$h=$ height of the cuboid

Find p(0),p(1) and p(2) for each of the following polynomials:
(i) p(y)=y²−y+1
(ii) p(t)=2+t+2t²−t³
(iii) p(x)=x³
(iv) p(x)=(x−1)(x+1)

What is the area of the rhombus $ABCD$, if $AC=12cm$ and $BE=8cm$

Factorize: $16(a+b{)}^2-4a-4b$

If Sachin scores 100 runs and Dravid scores 50 runs, then what percentage of Dravid’s runs did Sachin score?

The following table gives tha number of students in class IX in a school during the academic years 19996-1997 to 2000-2001

Which of the following bar graph shows the correct representation of this data?

Represent 0.344444… in a rational form. [2 MARKS]

Find the fractional form of 0.6363.... using $\frac{1}{11}$ = 0.090909.....

The length of the perpendicular from the origin to the plane passing through three non-collinear points $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ is

The perpendicular bisectors of the sides of a triangle ABC meet at I.

Prove that : IA = IB = IC.

1. 2

The components of a segment of a circle are:

AB is the diameter of the circle with centre at O. P is a point on the circle such that PA = 2PB. If AB = d units, then BP equals

Draw the graph of $y=\left(\frac{|x|}{x}\right)$

The sum of a number and its square is one half times their difference . Find the number

From the given figure,name the following:

(i) Three lines

(ii) One rectilinear figure

(iii) Four concurrent points

Find the area of the shaded region in the given figure where circles are drawn with centres $A,B,C$ and $D$ intersected in pairs at mid-points $P,Q,R$ and $S$ of the sides $AB,BC,CD$ and $DA$ respectively of a square $ABCD$ of side $14cm$. (Use $\pi =\frac{22}{7})$.

Which of the following options is true for the given statements
S1 : $\sqrt{2}$x = 3$\sqrt{y}$ is a linear equation in two variables

S2 : $\sqrt{2}$ x + 3y = $\sqrt{5}$ is a linear equation in two variables

If $x$ and $y$ are distinct rational numbers which of the following is true about $\frac{x+y}{2}$?

State exterior angle theorem.

Two circles of radii $5cm$ and $6cm$ with common centre are drawn. There is a line $AB$ such that it is chord to both the circles. $CD=8cm.$ Find the distance of the chord from centre and the length of $AC$ respectively.

$△$ ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm.$△$ DEF is similar to $△$ABC. If EF = 4 cm, then the perimeter of $△$DEF in cm is equal to ___

Find all the common zeroes of the polynomials $x^3+5x^2-9x-45$ and $x^3+8x^2+15x$.

Every point on the number line represents?

In a circular dartboard of radius 20 cm, there are 5 concentric circles. the radius of each inner concentric circle is 4 cm less than the outer concentric circle. Find the probability that a dart hits anywhere in the smallest circle assuming that the dart doesn't hit on the boundary of any circle.

The mean of the following data $1^2,2^2,3^2,4^2,........n^2$ is

In a series of $2n$ observations, half of them equal $a$ and remaining half equal $-a$. If the standard deviation of the observations is $2$, then $|a|$ equals.

Question 133

In a true-false test containing 50 questions, a student is to be awarded 2 marks for every correct answer and -2 for every incorrect answer and 0 for not supplying any answer. If Yash scored 94 marks in a test, what are the possibilities of his marking correct or wrong answer?

The numbers which have a non-terminating and non-repeating decimal expansion or cannot be represented in the form of $\frac{p}{q}$ (q is not equal to '0') are known as numbers.

If $U=\{1,2,3,4,5\}$ and $A=\{2,5\}$, then $A^{\prime }=$

In $△$ABC, $\angle$A = ${100}^{\circ }$ and AB = AC. Find $\angle$B and $\angle$C. [2 MARKs]

Answer the following questions: [3 MARKS]

(a) In which quadrant will the point lie, if the abscissa is –10 and the ordinate is – 4.
(b) Draw a rectangle PQRS in which vertices P, Q, R and S are (1,4), (-5,4), (-5,-3) and (1,-3) respectively.

When 14 is added to a number, we obtain 72. Which equation shows this relationship?

In a school, there are 8 periods per day each of 1 hour duration. How long would each period be, if 4 more periods are to be added,assuming the number of school hours to be same? [2 MARKS]

The number $(\sqrt{2}{)}^5$ is

If the mean of the following data is 17, then find the value of 'p'.

$\begin{array}{cccccc}{x}_i& \text{10}& \text{p}& \text{18}& \text{21}& \text{25}\\ f_i& \text{10}& \text{15}& \text{7}& \text{9}& \text{9}\end{array}$

Use the following information to answer the next question

What are the respective coordinates of points A and B in the given graph?

The two axes divide the Cartesian plane into __ quadrants.

The triangle BDC is right angled. If BD measures $2\sqrt{2}$ cm, what is the area of the square?

Question 2
A rectangular water tank of base $11m\times 6m$ contains water upto a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank.

In figure, if QT $\perp$ PR, $\angle$TQR = ${40}^{\circ }$, and $\angle$SPR = ${50}^{\circ }$, find the sum of angles x and y.

A circular pond is 17.5 m is of diameter. It is surrounded by a 2m wide path . Find the cost of constructing the path at the rate of $₹25per{m}^2$

The angle of elevation of a cloud from a point h metre above a lake is $\theta$. The angle of depression of its reflection in the lake is ${45}^{\circ }$. The height of the cloud is :