# Worksheet on Cardinal Properties of Sets

In worksheet on cardinal properties of sets we will solve 10 different types of questions on sets.

1. If A and B are two sets such that n(A) = 15, n(B) = 21 and n(A ∪ B) 36, find n(A ∩ B).

2. If P and Q are two sets such that P ∪ Q has 20 elements, P has 9 elements and Q has 16 elements. How many elements does P ∩ Q have?

3. In a group of 300 people, 150 can speak French and 200 can speak German. How many can speak both French and German?

4. If X and Y are two sets such that X has 30 elements, Y has 41 elements and X ∩ Y has 15 elements. How many elements does X ∪ Y have?

5. If A and B are two sets such that A has 35 elements, A ∪ B has 80 elements and A∩B has 10 elements, how many elements does B have?

6. In a group, 50 persons play basketball, 20 play football and 10 play both. How many play at least one of the two games?

7. There are 600 people residing in a campus. Out of these, 340 people take the Hindustan Times and 270 people take The Times of India. There are 70 persons who take both the papers. Find the number of persons who do not take either of the two papers.

8. In an exam, 70 girls secured first class marks in Science or Math. Out of these, 40 girls secured first class marks in Math and 10 girls in Science and Math. How many girls secured first class marks in Science only?

9. In a group of 90 people, 41 like jogging, 30 like swimming and 8 like jogging and swimming both.

Find:

(a) how many like jogging only?

(b) how many like swimming only?

(c) how many like at least one of them?

(d) how many like none of them?

10. In a group of persons, 23 like vanilla ice cream, 19 like strawberry ice cream and 8 like both the ice creams.

Find:

(a) the number of persons in the group.

(b) the number of persons who like vanilla ice cream only.

(c) the number of persons who like strawberry ice cream only.

Answers for worksheet on cardinal properties of sets are given below to check the exact answer.

1. 0

2. 5

3. 50

4. 56

5. 55

6. 60

7. 60

8. 30

9. (a) 33
(b) 22
(c) 63
(d) 27

10. (a) 34
(b) 15
(c) 11

Sets and Venn-diagrams - Worksheets

Worksheet on Set Theory

Worksheet on Elements of a Set

Worksheet on Representation on Set

Worksheet on Set Operations

Worksheet to Find the Cardinal Number of the Sets

Worksheet on Cardinal Properties of Sets

Worksheet on Sets using Venn Diagram

Worksheet on Union and Intersection using Venn Diagram

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Addition and Subtraction of Fractions | Solved Examples | Worksheet

Jul 18, 24 03:08 PM

Addition and subtraction of fractions are discussed here with examples. To add or subtract two or more fractions, proceed as under: (i) Convert the mixed fractions (if any.) or natural numbers

2. ### Worksheet on Simplification | Simplify Expressions | BODMAS Questions

Jul 18, 24 01:19 AM

In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

3. ### Fractions in Descending Order |Arranging Fractions an Descending Order

Jul 18, 24 01:15 AM

We will discuss here how to arrange the fractions in descending order. Solved examples for arranging in descending order: 1. Arrange the following fractions 5/6, 7/10, 11/20 in descending order. First…

4. ### Fractions in Ascending Order | Arranging Fractions | Worksheet |Answer

Jul 18, 24 01:02 AM

We will discuss here how to arrange the fractions in ascending order. Solved examples for arranging in ascending order: 1. Arrange the following fractions 5/6, 8/9, 2/3 in ascending order. First we fi…