n(A∪B) = n(A) + n(B) − n(A∩B)

Q.

What is 6% of 3?

Q.

Write the set $A=\left\{5,10,15,20,25,30\right\}$ in set builder form.

Q. $A$ and $B$ are two sets such that $A$ has $5$ elements, $B$ has $7$ element while $A\cap B$ has $3$ elements, then what will be the $n(A\cup B)$?

1. $12$
2. $9$
3. $35$
4. $2$

Q.

$40\%\mathrm{of}\left[100-20\%\mathrm{of}300\right]$ is equal to:

1. 20

2. 16

3. 140

4. 64

Q.

In a factory 70% of the workers like oranges and 64% likes apples. If each worker likes at least one fruit, What is the minimum percentage of workers who like both the fruits?

__

Q. In a community it is found that $52\%$ people like prime video and $73\%$ like Netflix and $x\%$ like both, then

1. $x\ge 25$
2. $x\le 25$
3. $25\le x\le 52$
4. $x=36$

Q. If $X$ and $Y$ are two sets such that $n\left(X\right)=20,n\left(Y\right)=25\text{and}n\left(XUY\right)=40$, $thenn(X-Y)=$

1. $20$
2. $15$
3. $40$
4. $5$

Q. $\mathrm{Let}A\mathrm{and}B\mathrm{be}\mathrm{two}\mathrm{sets}\mathrm{such}\mathrm{that}n\left(A\right)=20,n(A\cup B)=42\mathrm{and}n(A\cap B)=5.\mathrm{Then},n(B-A)=$

1. $18$
2. $20$
3. $22$
4. $27$

Q. For any two sets $A\&B,$ if $n(A\cup B)=100;n\left(A\right)=45,n\left(B\right)=60,$ then $n(A\cap B)=$

1. $5$
2. $15$
3. $0$

Q. Two newspapers $A$ and $B$ are published in a city. It is known that $25\%$ of the city population reads $A$ and $20\%$ reads $B$ while $8\%$ reads both $A$ and $B$. Further, $30\%$ of those who read $A$ but not $B$ look into advertisements and $40\%$ of those who read $B$ but not $A$ also look into advertisements, while $50\%$ of those who read both $A$ and $B$ look into advertisements. Then the percentage of the population who look into advertisements is :

1. $12.8$
2. $13$
3. $13.5$
4. $13.9$

Q.

What is 6% of 10000?

1. 100

2. 60

3. 600

4. 1000

Q.

In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons speaking at least one of these two languages is

1. 60

2. 40

3. 38

4. 58

Q. In a class of $70$ students, $38$ students like physics, $21$ students like mathematics and $15$ students like both the subjects, then the number of students who like neither of the subjects is

1. $27$
2. $24$
3. $11$
4. $26$

Q. A survey shows that in a city, $45$% citizens like tea, whereas $65$% citizens like coffee. If $x$% like both tea and coffee, then

1. $x=45$
2. $x=10$
3. $10\le x\le 45$
4. $45\le x\le 55$