Explore topic-wise InterviewSolutions in Current Affairs.

The equation of the line shown in the figure is

Represent $\frac{1}{2}$ and $\frac{1}{4}$ on the number line.

In the given figure, AB = 6 and BC = 4. BC is extended to E such that C is the midpoint of BE and join AE. It cuts CD in P. Now consider the two points:
i) P is the midpoint of AE
ii) P is the midpoint of CD

All possible values of x when |3x -4| = 11 are

We have a set of observations :
20, 34 , 42 , 56 , 64 , 29 , 41 , 30 and 35
By how much does the mean change if we include another value, 109 to this set of data.

If the points (2k-3,k+2) lie on the graph of the equation 2x+3y+15=0, find the value of k.

1. 70

(a+b+c)(a+b-c) = ___.

An irrational number between $\frac{1}{7}$ and $\frac{2}{7}$ is

The difference of area of two squares is A. The difference of their perimeters is p. Then the sum of their perimeters is ______ .

Question 1
Points A(5, 3) B(-2, 3) and D(5, -4) are three vertices of a square ABCD. Plot these points on a graph paper and hence, find the coordinates of the vertex C.

If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle is

An exterior angle of a triangle is ${110}^{\circ }$ and its two interior opposite angles are equal. Each of these equal angles is

$\left(a\right){70}^{\circ }$

$\left(b\right){55}^{\circ }$

$\left(c\right){35}^{\circ }$

$\left(d\right)27{\frac{1}{2}}^{\circ }$

Factorise:
$9(2a-b{)}^2-4(2a-b)-13$

Factorise
$16x^4+54x$

If the angles $(2x-10{)}^{\circ }$ and $(x-5{)}^{\circ }$ are complemeniary angles, find x.

Curved surface area of a cone is 308 $c{m}^2$ and its slant height is 14 cm.Find the radius of the base and total surface area of the cone.

Write the equation of the line that is parallel to y-axis and passing through the point

$\left(i\right)(4,0)$ $\left(ii\right)(-2,0)$ $\left(iii\right)(3,5)$ $\left(iv\right)(-4,-3)$

Represent $\sqrt{3.5},\sqrt{9.4}and\sqrt{10.5}$ on the real number line.

How many equilateral triangles can be drawn on a given line segment ?

Find the mean of the following data.

X_{i - 11 12 13 14 15 16 17 18}

_{Fi - 10 1 3 4 8 10 3 1}

_{All of Fi are corresponding to Xi}

Using the information in the given figure, AC = ___ m.

What does $\text{PDF}$ stand for?

A tabular arrangement of data showing their corresponding frequencies is known as ____________________ .

Write the degree of polyonomial X³+2x+1/5-7/2 x²-x⁶

Let set A = {1, 2, 3}, set B = {2, 3, 4}, set C = {4, 5}. Find (A ∩ B) $\times$ C.

If a point C lies between two points A and B such that AC = BC, then prove that AC = AB/2. Explain by drawing the figure.

Question 45
In the following question, state whether the given statement is true (T) or false (F).
XXIX = 31

If $y$ is directly proportional to $x$ then

P & Q are centres of circles of radius 9cm and 2cm respectively. PQ = 17cm. R is the centre of a circle of radius x cm, which touches the above circles externally. Given angle PRQ = 90⁰, write an equation in x and solve it.

If a + b = 8 and a - b = 2, then the value of 2a² + 2b² is

x³ + 3x² + 3x + 1 ÷ x + π

What is vieta jumping? Please explain with proof.

If the sets A and B are defined as

A = {(x, y) : y = $\frac{1}{x}$, 0 ≠ x ∈ R}

B = {(x, y) : y = -x, x ∈ R}, then

If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of the following is true?

If each side of an equilateral triangle is increased by 2 cm, then its area increases by 3√3 cm². The length of its each side and its area are respectively equal to

Simplify:

(i) $\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}+\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}$

(ii) $\frac{1}{2+\sqrt{3}}+\frac{2}{\sqrt{5}-\sqrt{3}}+\frac{1}{2-\sqrt{5}}$

(iii) $\frac{2}{\sqrt{5}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{2}}-\frac{3}{\sqrt{5}+\sqrt{2}}$

Calculate the speed of a car if it covers a distance of 200 km in 120 min.

Find the ratio of the total surface area and lateral surface area of a cube.

If x, y and z are in continued proportion then $z:x::z^2:$ ____.

80 bulbs are selected at random from a lot and their lifetime in hours is recorded as under.

$\begin{array}{cccccc}\text{Lifetime (in hours)}& 300& 500& 700& 900& 1100\\ \text{Frequency}& 10& 12& 23& 25& 10\end{array}$

Our bulb is selected at random from the lot. What is the probability that its life is 1150 hours?

(a) $\frac{1}{80}$

(b) $\frac{7}{16}$

(c) 1

(d) 0

Question 92

State whether the statement is True or False.

Integers are closed under multiplication.

Construct a $△ABC$ in which $BC=3.6cm,AB+AC=4.8cm$ and $\angle B={60}^{\circ }$.

Factorise (x+y)^3-(x-y)^3-6y(x^2-y^2)