Chapter 1 sets pyqs
1 Mark Questions
Define a set with an example.
Write the set-builder form of A={2,4,6,8,10 }.
If A={1,2,3 }and B={2,3,4 }, find A ∩ B.
State the difference between finite and infinite sets.
2 Mark Questions
Write all subsets of A={a , b }.
If A={1,2,3,4 }, B={2,4,6 }, find A ∪ B and A ∩ B.
Draw a Venn diagram to illustrate A ∪ B and A ∩ B.
If n(U )=50 , n( A )=23 , n( B)=28 , n( A ∩ B)=12, find n( A ∪ B).
3 Mark Questions
If A={1,2,3,4,5 }, B={2,4,6 }, and C={1,2 }, verify: A ∩( B ∪C)=( A ∩ B)∪( A ∩ C).
In a group of 100 students, 72 like tea, 43 like coffee, and 20 like both. Find how many like: i)
Tea only ii) Coffee only iii) Neither tea nor coffee
If A={x : x is a prime number less than 10}, write A .
Prove that ( A ∪ B ¿' = A' ∩ B' .
4–5 Mark Questions
In a survey of 60 people, 25 read newspaper A, 26 read newspaper B, 26 read newspaper C,
9 read A and B, 8 read B and C, 11 read C and A, and 3 read all three. Find how many read: i)
Only A ii) Only B iii) Only C iv) None of the newspapers
If A={1,2,3,4 }, B={2,4,6,8} , and C={1,3,5,7 } , verify distributive law:
A ∩( B ∪ C)=( A ∩ B)∪( A ∩ C).
Using Venn diagrams, prove: A ∪(B ∩C)=( A ∪B)∩( A ∪ C ).
In a class of 50 students, 30 study Mathematics, 25 study Physics, and 20 study Chemistry. 10
study both Mathematics and Physics, 8 study both Physics and Chemistry, 5 study both
Mathematics and Chemistry, and 3 study all three subjects. Find how many study: i) Only
Mathematics ii) Only Physics iii) Only Chemistry iv) At least two subjects.
Key Concepts Covered
Types of sets (finite, infinite, equal, subsets, power set).
1 Mark Questions
Define a set with an example.
Write the set-builder form of A={2,4,6,8,10 }.
If A={1,2,3 }and B={2,3,4 }, find A ∩ B.
State the difference between finite and infinite sets.
2 Mark Questions
Write all subsets of A={a , b }.
If A={1,2,3,4 }, B={2,4,6 }, find A ∪ B and A ∩ B.
Draw a Venn diagram to illustrate A ∪ B and A ∩ B.
If n(U )=50 , n( A )=23 , n( B)=28 , n( A ∩ B)=12, find n( A ∪ B).
3 Mark Questions
If A={1,2,3,4,5 }, B={2,4,6 }, and C={1,2 }, verify: A ∩( B ∪C)=( A ∩ B)∪( A ∩ C).
In a group of 100 students, 72 like tea, 43 like coffee, and 20 like both. Find how many like: i)
Tea only ii) Coffee only iii) Neither tea nor coffee
If A={x : x is a prime number less than 10}, write A .
Prove that ( A ∪ B ¿' = A' ∩ B' .
4–5 Mark Questions
In a survey of 60 people, 25 read newspaper A, 26 read newspaper B, 26 read newspaper C,
9 read A and B, 8 read B and C, 11 read C and A, and 3 read all three. Find how many read: i)
Only A ii) Only B iii) Only C iv) None of the newspapers
If A={1,2,3,4 }, B={2,4,6,8} , and C={1,3,5,7 } , verify distributive law:
A ∩( B ∪ C)=( A ∩ B)∪( A ∩ C).
Using Venn diagrams, prove: A ∪(B ∩C)=( A ∪B)∩( A ∪ C ).
In a class of 50 students, 30 study Mathematics, 25 study Physics, and 20 study Chemistry. 10
study both Mathematics and Physics, 8 study both Physics and Chemistry, 5 study both
Mathematics and Chemistry, and 3 study all three subjects. Find how many study: i) Only
Mathematics ii) Only Physics iii) Only Chemistry iv) At least two subjects.
Key Concepts Covered
Types of sets (finite, infinite, equal, subsets, power set).
