Explore topic-wise InterviewSolutions in Current Affairs.

_____ is a collection of numbers that gives us meaningful information.

Two natural numbers $p$ and $q$ are picked from the number line, on which $p$ lies to the right of $q$. Then, $\frac{p}{q}$ is a/an ___.

The circumference of a circular garden is 66 m find its diameter

How many jars each holding 1.75 kg of jams can be filled from vessal containing 100 kg of jam, and how much remain?

_{The adjacent sides of a parallelogram are 15 cam and 8 cm .If the distance between the longer side is 4 cm ,find the distance between the shorter sides}

Question 1
Construct $\Delta$ XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

1. 90

Give four rational numbers equivalent to:

$\frac{-2}{7}$

Question 2

A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.

A mat in the shape of a parallelogram has a height of 4 cm and a base of 3 cm. How much would it cost to cover a parallelogram shaped hall with an area of 180 sq. cm with mats, if each mat costs Rs.7?

Consider the following figure.

It is given that $\stackrel{⟷}{PB}$ and $\stackrel{⟷}{RC}$ are parallel lines. Find x

Sum of the digits of a two digit number is 9. When we interchange the digits the new number is 27 greater than the earlier number. Find the number. [3 MARKS]

A box contains balls of black, blue and green colours. If the ratio of black and blue balls is 5 : 6 and the green balls are 10 more than the black balls, find the number of blue balls if total number of balls are 42.

$3^{-2}$ is equal to

16 soda bottle machines together produce 1856 soda bottles per hour. How many more machines are required to produce 2088 bottles per hour?

While referring to the map of a state, Ram wished to calculate the distance between two cities. He noticed the scale written on the map; 1 cm = 1000 km. He then measured the distance between the required cities. It came out to be 11.5 cm. What was the actual distance that Ram calculated.

Express 3375 in exponential form.

A road crossing two or more roads gives an idea of _________ line.

Find the value of : $\frac{x^{a(b-c)}}{x^{b(a-c)}}÷(\frac{x^b}{x^a}{)}^c$

Question 1 (iii)
State the property that is used in each of the following statements:

If $\angle 4+\angle 5={180}^{\circ }$, then a||b.

If we subtract $-4x^{2}y$ from $2x^{2}y$ we get:

Prove that any two sides of a triangle are together greater than twice the median drawn to the third side. [4 MARKS]

If $\Delta DEF\cong \Delta BCA$, then the part of $\Delta BCA$ that correspond to $\angle E$ is:

If car covers 16 km in x litres of petrol, and in 1 litre of petrol, it can cover x km. How much distance will it cover in 5 litres of petrol?

Choose the correct statement.

The degree of the polynomial $2-8x^{0}y{z}^3+xy+4xyz$ is ___

Which of the following represents associative property?

For constructing $\Delta LMN$ exactly identical to $\Delta ABC$, choose from the options, the minimum measurements required.

Consider two strings AB and CD of lengths 5 cm and 20 cm respectively. Find $\frac{1}{4}$ of CD and hence find the ratio of one-fourth of CD to AB

Which of the following figures exhibit rotational symmetry?

With A and B as centres and any radius greater than half of AB, draw arcs on either side of AB so that they meet in X and Y as shown. Join XY

These are the two statements:
Statement 1: AB is the perpendicular bisector of XY
Statement 2: XY is the perpendicular bisector of AB
Choose the correct option from below.

ABCD is a square. AC and BD intersect at O. State the measure of $\angle AOB$.

In $\Delta$DEF, an exterior angle at F is (8x + 15). If the two non-adjacent interior angles are (4x + 5) and (3x + 20), find the value of that exterior angle (in degrees).

Given two squares of the same length. One square has a triangle in it with its vertices coinciding with three vertices of the square. The other square contains a circle touching all mid points of the sides of the square.Which of these two will have a greater area and what is the difference in the areas if the length of the given square is 4m?
[4 MARKS]

The incentre of the triangle with vertices (1, $\sqrt{3}$), (0, 0) and (2, 0) is

If the HCF of 60 and 168 is 12, what is the LCM?

A pencil costs ₹ 5 more than the cost of an eraser. If the cost of an eraser is $x$ (in rupees), then the cost of a pencil in rupees would be _______.

Question 82

In the given figure are the following pairs of angles adjacent? Justify your answer.

Arrange the numbers in descending order $\frac{7}{4},\frac{2}{3},\frac{3}{4},\frac{8}{5},\frac{9}{2}.$

Simplify $\frac{a{b}^2{c}^3\times a^4{b}^5{c}^{-6}}{a^{-7}{b}^{-8}{c}^9\times a^{10}{b}^{11}{c}^{-12}\times a^{13}{b}^{-14}{c}^{15}}$