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Find the cardinal number of the following sets :

(i)$A_1=\{-2,-1,1,3,5\}$

(ii)$A_2=\{x:x\in Nand3\le x<7\}$

(iii)$A_3=\{p:p\in Wand2p-3<8\}$

(iv)$A_4=\{b:b\in Zand-7<3b-1\le 2\}$ $\text{Cardinal~Number~of~set~:The number of elements in a set is called its Cardinal Number.}$

While representing natural numbers, the number line extends ______ .

Which of the following numbers lie

$\text{between}\frac{3}{4}\text{and}\frac{7}{4}?$

The marks of a student in different subjects are given below :

$\begin{array}{cccccc}\text{Subject}& \text{Hindi}& \text{English}& \text{Maths}& \text{Science}& \text{Social science}\\ \text{Marks}& 43& 56& 80& 65& 50\end{array}$

Draw a bar graph from the above information.

Please note that this question is from the chapter TIME AND WORK.

​​​​​​Varun and Arun can plough a field in 12 hours and 18 hours respectively. Varun ploughs the field for 4 hours after that he leaves and then Arun ploughs the remaining field. How long did Arun take to plough the remaining field ?

The answer is 12 hours

please try to give the solution correctly and.. mention the formula used

- Regards Mahima

​

Soumitro and his friends made deep drawings.

Which of the following is the deep drawing of a cube?

Question 142

13 and 31 is a strange pair of numbers, such that their squares 169 and 961 are also a mirror image of each other. Can you find two other such pairs?

The pie chart given below represents the number of stationery items sold in a month at a shop. If the total no. of items sold was 1080, find the number of pens, notebooks, books and other items sold.

Given universal set = $\{x\in Z:-6<x\le 6\},N=\{n:nisanon-negativenumber\}andP=\{x:xisanon-positivenumber\}Find:\left(i\right)N^{‘}\left(ii\right)P^{‘}$

Question 21

Write the correct answer from the given four options.

A perfect square number having n digits, where n is even, will have square root with

a) $(n+1)$ digit

b) $\frac{n}{2}$ digit

c) $\frac{n}{3}$ digit

d) $\left(\frac{n+1}{2}\right)$ digit

Question 81 (b)

Express each of the following in single exponential form.
$2^4\times 4^2$

Set of natural numbers, $A=\{x:xϵN\}$ is a proper subset of which of the following?

If we start at (0,0) on a rectangular coordinate system, and move left 9 and down 15, where are we?

A polygon comes under which of the following categories?

Question 92

Express $3^{-5}\times 3^{-4}$ as a power of 3 with positive exponent.

Find the missing term in the sequence
97, 86, 73, 58, 45, (?)

The denominator of a rational number is greater than its numerator by 3. If the numerator is increased by 7 and the denominator is decreased by 1, then the new number becomes $\frac{3}{2}$. Find the original number.

Question 112(iii)

Sonia picks up a card from the given cards



Find the probability of getting a G card ?

What will be the unit
digit of the squares of the following numbers?

(i) 81 (ii) 272

(iii) 799 (iv) 3853

(v) 1234 (vi) 26387

(vii) 52698 (viii) 99880

(ix) 12796 (x) 55555

Question 126

A rectangular sheet of paper is rolled in two different ways to form two different cylinders. Find the volume of cylinders in each case if the sheet measures $44cm\times 33cm$

Question 14

In a frequency distribution with classes 0-10, 10-20 etc., the size of the class intervals is 10. The lower limit of fourth class is:

(a) 40

(b) 50

(c) 20

(d) 30

The radius and height of a right circular cone are in the ratio 3:4. Then the ratio of total surface area of the cone to its curved surface area is

If $O$ is the centre of the circle, find $\angle ABC$ in the figure given below.

For
each of the given solid, the three views are given. Identify for each
solid the corresponding top, front and side views.

Find the surface area of the following figure if it is folded along the dotted lines. (all the measurements are in cm)

$\text{In rhombus ABCD ;}\left(i\right)if\angle ={74}^{\circ };find\angle Band\angle C.\left(ii\right)ifAD=7.5cm;findBCandCD.$

In the given figure, G is the point of concurrence of medians of ∆DEF. Take point H on ray DG such that D-G-H and DG = GH, then prove that
GEHF is a parallelogram.

Find the value of x from the given figure.

Here is a histogram which is made up of bricks. 1 brick = 10,500. Carefully observe the histogram and answer the questions that follow:

In which years are the no. of CDs sold the same?