Idea of a Set

Q.

What is the formula of $\frac{1-\cos x}{\sin x}$?

Q.

If $A,B$ and $C$ are any $3$ sets then $A\times (B\cup C)$ is equal to

1. $(A\times B)\cup (A\times C)$

2. $(A\cup B)\times (A\cup C)$

3. $(A\times B)\cap (A\times C)$

4. None of these

Q.

Let $U=\{1,2,3,4,5,6,7,8,9,10\},A=\{1,2,5,\},B=\{6,7\}$ then $A\cap B$ is

1. $B$

2. $A$

3. $A$

4. $B$

Q.

The value of ${\int }_{-2}^2\left|3x^2-3x-6\right|dx$ is

Q.

If $e^{i\theta }=\cos \theta +i\sin \theta$, then in triangle ABC value of $e^{iA}.e^{iB}.e^{iC}$ is

1. $-i$

2. $1$

3. $-1$

4. None of these

Q.

$IfAisanyset,then$

1. $A\bigcup A’=ɸ$

2. $A\bigcup A’=U$

3. $A\bigcap A’=U$

4. $Noneofthese$

Q.

For a set $A$ consider the following statements:

$1.A\cup P\left(A\right)=P\left(A\right)$

$2.\left\{A\right\}\cap P\left(A\right)=A$

$3.P\left(A\right)-\{A\}=P\left(A\right)$ where $P$ denotes power set.

Which of the statements given above is/are correct?

1. $1$Only

2. $2$ Only

3. $3$ Only

4. $1,2,3$

Q.

An inspector rejected 0.08% of the motors as defective. How many motors he had to examine to reject 2 motors?

1. 25

2. 25000

3. 250

4. 2500

Q. If m is a natural number, then 2m denotes a multiple of 2.

1. True
2. False

Q. Can you book a session

Q.

Select three balls and put into a circle, total sum of them must be$30$. Only $2\%$ people can solve this Question. Are you among of them$2\%$ people?

Q.

In a certain town$30\%$ families own a scooter and $40\%$ own a car, $50\%$ own neither a scooter nor a car. $2000$families own both a scooter and car consider the following statements in this regard

1)$20\%$ of families own both scooters and cars.

2) $35\%$ of families own either a car or a scooter.

3)$10000$ families live in town.

Which of the above statement are correct?

1. $2$ and $3$

2. $1,2$ and $3$

3. $1$ and $2$

4. $1$ and $3$

Q.

In Diagrammatic presentation, which of the following is not used:

1. Diagrams

2. Tables

3. Graphs

4. Figures

Q.

Write the expression of:-

$-7$added to the product of $4andx$

Q.

What is the value of the figure below in the tally chart? [2 MARKS]

Q.

Write each given set in the Set Builder Form.

$\left\{May,March\right\}$

Q.

What is the value of the figure below in the tally chart?[2 MARKS]

Q.

The collection of "All the easy problems in our textbook" is ______.

1. a well defined set

2. a finite set

3. not a set

4. an infinite set

Q.

Write each given set in the Set Builder Form.

$\left\{Tuesday,Thursday\right\}$

Q.

Write each expression as a verbal expression :

$r+41$

Q.

Write any two differences between a collection and a set.

Q.

You are playing laser tag. The table shows how many points you gain or lose when you tag or are tagged by another player in different locations. You are tagged three times on the back, twice on the shoulder, and twice on the laser. You tag two players on the front, four players on the back, and one player on the laser. What is your score?

Tag Locations	Points Gained	Points Lost
Front	$200$	$50$
Back	$100$	$25$
Shoulder	$50$	$12$
Laser	$50$	$12$

Q. A group of $123$ workers went to a canteen for coffee, ice-cream and tea. $42$ workers took ice-cream, $36$ took tea and $30$ took coffee. $15$ workers purchased ice cream and tea, $10$ ice cream and coffee and $4$ coffee and tea but not ice cream, while $11$ took ice cream and tea but not coffee. Determine how many workers did not purchase anything ?

Q.

The collection of intelligent students in a class is ______.

1. A null set

2. A singleton set

3. Not a well defined collection

4. A finite set

Q.

Check the given collection is set? If not a set, give reason

All vowels

Q.

Write the following in mathematical form using signs and symbols :

$x$ taken away from the sum of $y$and $z$.

Q. Let $A,B\subseteq U$ be a universal set.

1. $60,43$
2. $50,36$
3. $60,38$
4. $70,44$

Q. In a survey of $200$ students of a higher secondary school, it was found that $120$ studied mathematics; $90$ studied physics; and $70$ studied chemistry; $40$ studied mathematics and physics; $30$ studied physics and chemistry ; $50$ studied chemistry and mathematics, and $20$ studied none of these subjects. Find the number of students who studied all the three subjects.

Q. Benjamin's monthly salary is 250 dollars. He spent 60% of his salary. How much money did he spend?

1. 40 dollars
2. 20 dollars
3. 150 dollars
4. 200 dollars

Q.

In the video it says that in bodmas the O stands for order but in our school we have learned that it stands for of , Why? What is the difference