Application on Cardinality of 2 Sets

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.

Use the Venn diagram to find $A\cup B$.

1. $\{1,2,5\}$

2. $\{3,4,6\}$

3. $\{7,8,9,10\}$

4. $\{1,2,3,4,5,6\}$

Q. A and B are finite sets such that $n\left(A\right)=17$ and $n\left(B\right)=29.$ If A is a subset of B, then $n\left(\right(A\cup B)-(A\cap B\left)\right)$= ___.

1. 12
2. 46
3. 22
4. 14

Q.

In a school, all students play either football or cricket or both. If 250 play football, 300 play cricket and 120 play both the games, then the total number of students in the school is ____.

1. 550

2. 430

3. 400

4. 500

Q.

Out of 200 students who are trying to improve their vocabulary, 120 students read newspaper H, 50 read newspaper T and 30 read both newspaper H and T. Find the number of students

i) who read H but not T

ii) who read T but not H

iii) who don't read any newspaper.

1. 30, 20, 60

2. 90, 20, 60

3. 90, 20, 30

4. 20, 30, 60