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In the figure, there is a jogging track that has to be renovated. The cost of renovation is Rs. 15 per square meters. For the circular parts, the inner and outer radii are 6 m and 8 m respectively. If the total cost of renovation is Rs. 2,520, find the length of AB.

Ted is a very studious guy. One of the fields of Mathematics that particularly interests him is Geometry. But he doesn’t know anything about Geometry. Since you have already understood Geometry, you could help Ted. To start with, pick the option which gives the literal meaning of the word Geometry.

Question 4
Starting from (−1) $\times$ 5 ,write various products showing a pattern to show (−1) $\times$ (−1)=1.

${45}^{\circ }$ angle is drawn. The value of its supplementary angle is _____.

15(x-9)-2(x-12)+5(x+6)=0,solve the equation

Question 30
Fill in the blanks to make the statement true
The rhombus is a figure that has ___ lines of symmetry and has a rotational symmetry of order ___.

A card is selected at random from a standard 52 card deck. Assuming all cards are equally likely to be selected, what is the probability that a red king card is selected?

Which of the following sides form a triangle?

In the below given figure identify interior angles

A force of 60 N acts on a body which moves it through a distance of 4 m on a horizontal surface. What is the work done, if the direction of the force is at an angle of ${60}^{\circ }$ to the horizontal surface?

In a party my friends start eating a round piece of pizza. They eat in such a way that after each time they have pizza, the quantity of pizza reduces by half. What type of decrease is this?

Of the three angles of a triangle, one is twice the smallest and another is three times the smallest. Find the angles.

How many lines can pass through one point?

Two Lines intersect

Find the marked price when the selling price is $Rs7200$ and discount $10\%$.

What do we get on converting $150\%$ to a fraction?

If the original size of a picture is $540\times 680$, then which of the following picture sizes is not in proportion with the original size?

What will be the integer which is 8 more than its additive inverse?

Which of the following pair of angles are supplementary?

In the given figure, if $AB||CD,\angle APQ={50}^{\circ }and\angle PRD={127}^{\circ }$, the value of y is:

In the figure below, x = ${30}^{\circ }$. The value of (6y – 3x) is ___.

The ratio of the cost of an item to its quantity is 2 :3 . If the cost of the item is ₹ 450, find the quantity

The sum of the digits of two-digits together with 7 is three times the digits in its tens place. If 8 be subtracted from the number the digits of the number inter change their position. Find the number.

The product of two numbers is $-14m^6{n}^3-21m^4{n}^5+7m^5{n}^4$. If one number is $7m^2{n}^2$, then the other number is

$\text{In what time will the interest on a certain}\text{sum at 7.5\% simple interest be}\frac{3}{4}\text{times of itself?}$

Anita and Divya are preparing for their exam.

Anita says that $3\times 5\frac{1}{5}=\frac{78}{5}$.

Divya says $3\times 5\frac{1}{5}=\frac{76}{5}$.

Who is correct? ___

An examination has 10 questions. Each correct answer gets 1 mark, and for each wrong answer $\frac{1}{2}$ a mark gets reduced. If Anu got 3 answers right, and 7 answers wrong, what would be her total marks?

If $x={\left(\frac{-2}{5}\right)}^{30}÷{\left(\frac{-2}{5}\right)}^{28}$ and $y={\left(\frac{-2}{5}\right)}^2\times {\left(\frac{-2}{5}\right)}^3$, find the value of $(x^3÷y{)}^2$.

If measure of one side is given, which of the following triangle can be constructed?

Simplify and express in exponential form: $\frac{3^{-5}\times {10}^{-5}\times 125}{5^{-7}\times 6^{-5}}$ is :

A triangle of sides AB = 2 cm, BC = 1.5 cm and AC = 1 cm is constructed. Then the measure of the angle A

Amita and Balu applied for a typing job. Amita can type $120$ words per minute while Balu can type $80$ words in $50$ seconds. The employer wants to select the one with a faster typing speed out of the two. Who would get the job?

Ritu buys a scooty and sells it to Priyanka at a loss of 20%. Priyanka sells the scooty to Meenu at a loss of 30%.

If Meenu paid Rs 17,920 for the scooty, then at what price did Ritu buy the scooty?

For any positive integer , $n^3-n$ is always divisible by ___?

Question 70

Fill in the blanks to make the statement true.

$(-69)÷69=$ ___

1. 3

“You are William Playfair!!!” Jack exclaimed with super surprise. “Yes, I am”, he replied. While Jack was still in the state of astonishment, William asked him, “Can you help me again? I have a list of number of people who have attended the Mass and lunch offered at the church for four months. Can you help me compare this data?” According to his list, then, Jack drew a bar chart (which William doesn’t know anything about). It came as:

​Looking at this, William exclaimed - “What a nice chart! We can easily compare the number of people. Thanks” Then Jack smiled and said- “If it’s that easy, tell me in which month the number of people attending Mass is maximum and in which month the number of people attending lunch is minimum?” The correct answer is –

Question 111

In the given figure, Find out which pair of lines are parallel.

Using the information given in the figure, find the values of x and y.

What are the number of significant digits in the following expression : 4.05020

How many plants (approximately) will be there in a circular bed whose outer edge measures 88 cm allowing $4c{m}^2$ for each plant?

Christopher was going home; he saw a burger shop on the way. He stopped there and ordered 8 burgers for him. He can eat 1 burger in 10 min, then how much time will he take to start his journey again towards his home if he leaves the shop right after eating?

The pair of integers (a, b) such that $a÷b$ = -4 is __________.

Match the powers of '3' with their corresponding reduced powers.