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If $60\%$ people in a city like cricket, $30\%$ like football and the remaining like other games, then what percent of the people like other games? If the total number of people are $50$ lakh, find the exact number who like each type of game

Question 1(v)
State whether the number given below is a perfect cube or not:
46656

Question 7 (i)
In a right triangle ABC, B =90^o.

If AB= 6cm, BC= 8cm, find AC.

In the given figure, the value of 'x' and 'y' is:

x$\%$ of y is $y\%$ of ? (a) x (b)100 x (c)$\frac{x}{100}$ (d) $\frac{y}{100}$

$\text{Wasim bought two cricket bats for Rs.560 and Rs. 240 respectively,He sells the first bat at a gain of}15\%\text{and the second one at a loss of}5\%\text{Find his gain or loss per cent in the whole transaction.}$

Write the quotient and remainder when we divide.

$(2x^3+x^2-5x-2)$ by $(2x+3)$

A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of the road roller is 84 cm and its length is 1 m.

Question 78

State whether the following statement is true or false:

Cube of an odd number is even.

Match the two columns
$\begin{array}{ccc}& \text{Column-I \& Column-II}& \\ & \text{(A)The class mark of the class interval}& \text{(p)}13\\ & \text{145-150 is}& \\ & \text{(B)In a frequency distribution, the mid – value of a}& \text{(q)22.5–27.5}\\ & \text{class is 10 and width of each class is 6. The upper}& \\ & \text{limit of the class is}& \\ & \text{(C)The class marks of a frequency distribution are}& \text{(r)147.5}\\ & \text{15, 20, 25, 30, .....}\text{The class corresponding to the class}& \\ & \text{mark 25 is}& \end{array}$

Choose the correct option:

In a colony, number of rooms in an apartment is equal to the number of apartments. If the total number of rooms in the colony is 2401, what is the number of apartments?

The distance of point (0, a) where a is any real number, from the Y-axis is___.

In the given figure, $AD=BC,$ $\Delta ABC\cong \Delta ADC$ by which the following congruency?

The following diagram shows parallel lines cut by a transversal. Find $x.$

In a rhombus ABCD, if BC = 8.5 cm, then AB = ?

Question 8

Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown) Did she have any cord left?
$(Take\pi =3.14)$

(a) Find out the number of line segments in the following figure. [4 MARKS]

(b) Find the values of angles x, y and z in each of the following:

The length of a pencil is 15 cm and its radius is 3 cm. Find the ratio of its length to diameter.

The volume of a rectangular tank is $6.92m^3$.If the tank is completely filled with water, how many litres of water does it contain?

The square root of 1.96 equals to

The cost of a machine decreases by 10 % every year. Find the price after 2 years ,if the initial cost of the machine was ₹ 30000.

One of the factors of $(a^2-b^2)(c^2-d^2)-4abcd$ is ______.

Evaluate $\frac{15}{28}$ $\times$ $\frac{56}{45}$.

If area of a square plate is 100 m², then what is the side length of the square plate and its perimeter respectively?

Question 90

The radius and height of a cylinder are in the ratio 3 : 2 and its volume is $19404c{m}^3$. Find its radius and height.

Shakti used addition to solve a word problem about the weekly cost of commuting by toll for Rs.15 each day. Raksh solved the same problem by multiplying. They both got the correct answer. How it is possible? [3 MARKS]

Factorise : $16-9x^2$

Draw the perpendicular bisector of a line segment of length 7 cm and also find and mark the midpoint. [2 MARKS]

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.

Statement 1: It is possible to construct a unique triangle when the measurements of two sides and non-included angle are given.

Statement 2: It is possible to construct a triangle when the measurements of two sides and included angle are given.

Choose the correct option.

The cost price of an article is 30 percent less than its selling price. Find, the profit or the loss as percent.

Total number of edges a cylinder is ________.

($p^3{q}^6-p^6{q}^3)÷p^3{q}^3$ = _________.

You said in the module that Pythagorean triplet having an even digit should be divided by two and get an odd number,what if it is a number like 16

$\text{Insert five ratinal numbers between}\frac{3}{5}and\frac{2}{3}.$

A man sold a pendrive at a profit of 16%. Had the pendrive been bought at 10% less price and sold for Rs.28 less; the man would have had a profit of 25%. Find the cost price of the pendrive.

Find the value of x for which ${\left(\frac{4}{9}\right)}^4\times {\left(\frac{4}{9}\right)}^{-7}={\left(\frac{4}{9}\right)}^{2x-1}$

$14x^2-53x+45by7x-9$

Compute the value of ${35}^2+5^2$

The digit in tens place of a two digit number is three times that in the units place. If the digits are reversed, the new number will be $36$ less than the original number. Find the original number. Check your solution.

Compute the value of ${12}^2+8^2$

Question 109(iv)
Verify the property $x\times (y\times z)=(x\times y)\times z$ of rational numbers by using
$x=0,y=\frac{1}{2}$ and $z=\frac{1}{4}$
and what is the name of this property?

Question 100(ii)

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
Which weight group has the highest frequency ?