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Choose the correct option(s) according to the following table:
$\begin{array}{cccccc}Class& \text{0-20}& \text{20-40}& \text{40-60}& \text{60-80}& \text{80-100}\\ Frequency& \text{10}& \text{7}& \text{16}& \text{18}& \text{8}\end{array}$

A three digit number is 297 more than its reversed number. How many such numbers are possible?

Question 56

Solve the following:

$\frac{x}{5}=\frac{x-1}{6}$

Question 25

Which of the following statements is always true?

(a) $\frac{x-y}{2}$ is a rational number between x and y.

(b) $\frac{x+y}{2}$ is a rational number between x and y.

(c) $\frac{x\ast y}{2}$ is a rational number between x and y.

(d) $\frac{x/y}{2}$ is a rational number between x and y.

Consider set of linear equations :$4x+7y=p$ and $kx+28y=120$, Where $k$ and $p$ are constant number. If these equation are having Infinitely many solution. Then, What will be the value of $k$ and $p$?

A bike was sold for Rs 48,000 and a commission of Rs 8,640 was received by the dealer. Find the rate of commission.

Which of the following is correct number of ways for selecting $n$ different things taken $k$ at a time?

Which shape can be observed in the given Jali pattern?

Prove that in a parallelogram with all four sides equal, the diagonals are perpendicular bisector of each other.

The average age of $20$ cows is $6$ years and the average age of $15$ goats is $5$ years. What is the average age of these animals?

Which of the following equations has a positive solution for $x$?

The value of $(2x+3y{)}^3$ is __________.

What does a geometry box consist of? What are the main instruments used for construction? [1MARK]

Which of the following are algebraic expressions?

Solve
and check result:

What will be the ratio of simple interest earned by a certain amount at the same rate of interest for 3 years and for 9 years?

On the coordinate axes, draw ABCD, such that its vertices are (4, 3), (4, -2), (-2, -2) and (-2, 3) respectively. What is the figure formed?

Find the number of sides in a polygon if the sum of its interior angles is :

(i) ${900}^o$

(ii) ${1620}^o$

(iii) 16 right - angles

(iv) right - angles.

The number of visitors in a trekking arena on a public holiday was 600. On the next day, which was a working day, if there were only 240 visitors, then what was the percentage decrease in number of visitors on the working day?

Express the following fraction as mixed fraction:

$\frac{20}{3}$

(a^m)ⁿ = a^______

A person insures Rs 26,000 through an insurance agent. If the agent gets Rs 650 as the commission, find the rate of commission.

Write true (T)I or false (f) for the followiong statements:
(i) 392 is a perfect cube.
(ii) 8640 is not a perfect cube.
(iii) No cube can end with exactly two zeros.
(iv) There is no perfect cube which ends in 4.
(v) For an integer $a,a^3$ is always greater than $a^2$
(vi) if a and b are integers such that $a^2>b^2,then{a}^3>b^3$
(vii) If a adivides b, then $a^3$ divides $b^3$
(viii) If $a^2$ ends in 9 then $a^3$ ends in 7.
(ix) If $a^2$ ends in 5, then $a^3$ ends in 25.
(x) If $a^2$ ends in an even number of zeros. than $a^3$ ends in an odd number of zeros.

If ∪ = {2, 4, 6, 8, 10, 12, 14, 17}, where ∪ is Universal set and some set A = {1, 4, 6, 9, 11, 12}, then set A^C is ________.

Question 10

In the following question, out of the four options, only one is correct. Write the correct answer:

The value of${\left(\frac{-2}{3}\right)}^4$ is equal to:

(a) $\frac{16}{81}$

(b) $\frac{81}{16}$

(c) $\frac{-16}{81}$

(d) $\frac{81}{-16}$

Find the value of $x$.

$3x+\frac{9}{3}=5x+\frac{5}{9}$

If
21y5
is a multiple of 9, where y
is a digit, what is the value of y?

Question 85(iii)

If principal = Rs. 100000, rate if interest = 10 $\%$ compounded half - yearly.

Interest for next 6 months.

Question 5 (iii)

It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of $Rs20per{m}^2$, find:

(iii) Capacity of the vessel

$[Assume\pi =\frac{22}{7}]$

Arjun sits on the seat which is shaded in the picture. Which of the options give the most accurate location of Arjun in the class?

Which of the following has more than 2 lines of symmetry?

Which of the following is/are nonlinear function(s)?

An army base has some soldiers, such that when they stand in rows and columns they form a square. More soldiers were added to the camp and now the number of rows and columns increased by 1. If there are 625 soldiers now, how many soldiers were added?

The length, breadth and height of a rectangular prism are 10, 6 and 8 centimetres. Narrow metal strips are to be fixed along all its edges. What is the total length of metal strips needed?

Which of the following rational numbers are equivalent to $\frac{9}{4}$?

Prove that : $(m+n{)}^{-1}(m^{-1}+n^{-1})=(mn{)}^{-1}$