Question1. Define set with example.
Question2. State which of the following collections are sets:
1.
2.
3.
4.
First ten natural numbers.
Good athletes in the world.
All planets in solar system.
Honest students in a class.
Question3. Give an example of representing a set in roster form and in set builder form.
Question4. Write the following sets in set builder form:
1. {5, 10, 15, 20, 25}
2. {violet, indigo, blue, green, yellow, orange, red}
3. {a, e, i, o, u}
Question5. Write the following sets in roster form:
1. {x:x is a consonant in the word calculator}
2. {x: x is a square of an even number 5 and 15}
3. {x: x N and 2
}
Question6. Give two examples each of a finite set and infinite set.
Question7. Define an equal and equivalent set with example.
Question8.Classify the sets into empty sets, finite set and infinite set.
1. A={….-4,-2,0,2,4,…….}
2. B={odd numbers exactly divisible by 2}
3. C={number of students in a school}
Question9.What is the cardinality of the set A={4,4,5,5,6,1,2,8,9}
Question10.
Name cardinality of the following sets:
1. A={}
2. {x: x is a consonant in the word MATHEMATICS}
Question11. Fill in the blanks with symbol
:
1. 7 …….{set of odd numbers}
2. February…….{set of days in a week}
3. -2…..{set of natural numbers}
Question12. Give an example of a disjoint set.
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Question13. Complete the following statement:
If there are ‘n’ elements in a set, then total number of subsets is ……. And number of proper
subsets is ………
Question14. Write all the possible subsets of 1. {3} and 2. {a,e}
Question15.How many subsets and proper subsets do the set containing 3 elements have?
Question16.A true or false:
1. {l} {l,m,n}
2. 1 {x: x is an even number}
3. A={3,6,9,12} and B={ multiple of 3} are equal sets
Question17. Find whether the sets are disjoints or overlapping.
A={x: x is divisible by 5 and x<29, x N}
B={ x is divisible by 2 and x<15, x N}
Question18. If U={ 2,4,6,8,10} , A={4,6,8}, B={2,8} then write the complement of set A
and set B.
Question19. Write all proper subsets of {1,2,a}
Question20 Write the universal set for the following:
1. {Asia, Africa, Europe}
2. {2,3,5,11,13}
Answers:A1. Set is a collection of well defined and distinct objects.
Example: set of even numbers
A2: (1) and (3) are sets. (2) and (4) are not well defined.
A3. A= {1, 3, 5, 7}; A={x: x is an odd number and x<8}
A4.1. {x: x is a multiple of 5 between 4 and 26}
2. {x: x is colour in rainbow}
3. {x: x is a vowel}
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A5.1. {c,l,t,r}
2. {62,82,102,122,142}
3. {2,3,4,5,6,7,8,9}
A6. A= {set of vowels}, B={x: x is an alphabet} are finite sets.
A= {set of even integers} and B={x: x is a natural number} are infinite sets.
A7. Two sets are equal if they have same elements and number of elements is also same.
Example A= {2,3,5,7,11} and B={x:x is a prime number<12}
Two sets are equivalent if the number of elements in both the sets is same.
Example A= {4,5,6} and B= {l,m,n}. Both sets have three elements, therefore, equivalent.
A8. 1. Infinite set; 2. Empty set; 3.finite set.
A9. (A)=7
A10. 1. Zero; 2. 5
A11. 1.
2.
3.
A12. A= {1,2,3} and B={x: x
N an x>4}
A13. 2n and 2n-1
A14. 1. {3} and
2. {a}, {a,e},{e} and
A15. Subsets=8 and proper subsets=7
A16. 1. true; 2. False; 3. False
A17. Since 10 is common, therefore, sets are overlapping.
A18. A’= {2,10} and B’={4,6,10}
A19. {1}, {2}, {a}, {1,2}, {1,a}, {2,a},
A20.
1. {set of continents}
2. {Set of prime numbers}
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