This post contains Class 8 math chapter 7-set creative questions. It is designed to help students understand key concepts, improve problem-solving skills, and prepare effectively for exams through well-structured examples and practice questions.
Class 8 math chapter 7-set creative questions
Question no : 01
U = {x : x, natural number and 2 ≤x < 13};
A = {y : y, even natural number and y2 ≤144};
B = {x: x, is the multiple of 4 and x ≤12}.
a. Express the set A in tabular method.
b. Find the subsets of A ∩ B.
c. Verify the correctness of (A ∪ B)’ = A’ ∩ B’.
Question no : 02
U = {1,2,3,4,5,6,7,8} and
P = {x : x is even natural number and 2 ≤ x < 7}
Q = {x : x is prime number and x < 8}
R = {1, 3, 7}
a. Express the set Q in tabular method .
b. Determine (P ∪ Q) ∩ (Q – R).
c. Show that (P ∩ R)’ = P’ ∪ R’.
Question no : 03
Universal set U = {1, 2, 3, 4, 5, 6, 7, 8}
A = {x : x is odd number and 3 < x < 9},
B = {3, 4, 5}
C = { x : 4 < x < 7}
a. Express A sets in tabular form.
b. With help of stem prove that (A ∪ B)’ = A’∩ B’
c. Find the subset; of (A ∪ C) and its number of subsets.
Question no : 04
U = {x : x is a natural number and x < 8}
A = {x : x is a odd natural number and x < 6}
B = {x : x is a even natural number and x ≤ 6} and C = {2, 5}
a. Express the set U in tabular form.
b. Find (A ∪ B) ∩ (B ∪ C).
Show that, (A ∩ C)’ = A’ ∪ C’.
Question no : 05
U = {1, 2, 3, 4, 5, 6, 7, 8},
A = {1, 2, 3, 5}
B = {x : x is a natural number and 1 < x < 8}
C = {x : x is a even number and 2 ≤ x ≤ 6}
a. Express the set U in set builder form.
b. Show that, A∪B =(A-B)∪(B-A)∪(A∩B).
c. Prove that, (B ∪ C)’ = B’ ∩ C”.
Question no : 06
U = {1, 2, 3, 4, 5, 6, 7, 8},
A = {x: x prime number and x < 10},
B = {4, 5, 6}, C = {1, 3, 4, 6}.
a. Express the set A in tabular form.
b. Find the subsets of the set B and determine (A ∪ B) ∩C.
c. Prove that, (A ∩B)’ = A’ ∪ B’.
Question no : 07
U = {l, 2, 3, 4,5, 6},
A = { x : x ∈ N and x2 – 3x + 2 =0 }
B = { 2, 4, 6}, C = ={1, 3, 5}
a. Determine set A in tabular form.
b. Show that (A∪B) ∩ C = (A∩C) ∪ (B ∩ C)
c. Determine (A’ ∪ B’) ∩ C’.
Question no : 08
A = {x : x is even number and 2 < x < 16},
B = {x: x is factor of 12} and
C = {x : x is a prime factor of 15}
a. Express the set C in tabular method.
b. Determine A ∩ B and A ∪ B.
c. Show that, A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C).
Question no : 09
In a school 65% students passed in Bangla, 55% students passed in English and 40% students passed in both subjects.
(a) Express the stated information by Venn diagram with short explanation. (b) Find out the number of students who failed in both subjects. (c) Find out the intersection set of the sets of factors of number of those students who passed only in Bangla and only in English.
Question no : 10
Read the stem of the following and give the answers of the questions U, A, B and C are four sets, where
U = {x ∈ N : x ≤ 7}
A = {x ∈ N : x < 7 and x is odd number}
B = {x ∈ N : x < 7 and x is even number}
C = {x ∈ N : x ≤5 and x is prime number}
a. Find the set U in tabular method.
b. Find A ∩ (B ∪ C).
c. Justify the correctness of (A ∪ C)’ = A’ ∩ C’.
Question no : 11
If U = {1, 5, 8, 15, 25}, P = {1, 8, 15} and Q = {5, 15, 25}.
a. What is called set? Write down the names of the conventional methods for expressing sets.
b. Find P ∪ Q and P / Q.
c. Show that, (P ∩ Q)’ = P’ ∪ Q’.
Question no : 12
Universal set, U = {x 😡 -is natural number and x ≤6}. The subsets of U are :
A = {x : x is odd number}
B = {x : x is even number}
a. Express the set U is tabular method.
b. Justify the correctness of the following relation — (A ∪ B)’ = A’ ∩ B’.
c. Write the subsets of the set formed with the prime numbers of the universal set.
Q-13
Universal set,U= {x:x is natural number and x≤6}.The subsets of U are—(i) A={x:x is odd number}
B= {x: x is even number}
a. Express the set U is tabular method.
b. Justify the correctness of the following relation—(A∪B)’=A’∩ B’
c. Write the subsets of the set formed with the prime numbers of the universal set
Q-14
U={1,2,3,4,5,6},A={x: x∈N and x2-3x+2=0},B={2,3,6},C=(1,3,5).
a. Determine set A in tabular from.
b. SHOW that(A∩B) ∩C=(A∩C) ∪(B∩C)
c. Determine (A’∪B’) ∪C’.
Q-15
U= {x∈N:x ≤7}
A= {x∈N:x <7 and x is odd number}
B={x∈N:x <7 and x is even number}
C=x∈N:x ≤5 and x is prime number}
a. Find the set U in tabular method.
b. Find, An(B∪C).
c. Justify the correctness of (A∪C)’=A’∩C’.
Q-16
A={x:x is even number and 2<x<16}
B= {x:x is factor of 12} and
C= {x:x is a prime factor of 15}
a. Express the set C in tabular method.
b. Determine A∩B and A ∪B
c. Show that,A∩(B∪C)=(A∩B)∪(A∩C)
Q-17
U={x : x is a natural numbers and x<8} , P= {1,3,5}
Q= {x: x is a natural number and I ≤x≤7}and R=2{2,4,6}.
a. Determine Pc
b. Determine (P∩Q) ∪(Q∪R)
c. Prove that, (Q∪R)’= Q’∩R’
Q-18
U={y:y is a natural number and y≤10}
A= {y:y is multiple of 3 and y<10
B= {y:y is factor of 6}
a. Express set A in tabular method.
b. Determine A∪B and express it in Venn diagram.
c. Show that, (A∩B)’=A’∪B’.
Q-19
A={x:x is a odd number and 3<y≤10}
U= {1,2,3,4,5,6,7,8}
B= {4,5} and C= {5,6}
a. How many methods of expression set there are and express the set A in tabular method.
b. Prove that, (A∪B)’=A’∩B’.
c. Determine the subtracts of the B∪C and write what is the number of subsets.
Q-20
A={3,6,9,12,15,18} and
B= {x:x is factor of 24}
a. Express the set-in building method.
b. Determine∩B and A∪B.
c. Show that,A∪B=(A-B) ∪ (B-A) ∪(A∩B).
Q-21
The following three sets are given in set builder form:
P={x∈N,1<x<10}
Q= {x∈N, x is even number and x≤8}
R= {x∈N, x is multiple of 3 and ≤9}
a. Express set P and Q in tabular form.
b. Show that∪Q = P and find P∩Q and express it in set builder form.
c. Express R in tabular form and show that (P∪Q) ∩R= (P∩R) Q
Q-22
A and B are the sets of all factors of 87 and 108 respectively.
a. Express Set B in tabular form.
b. Express Set A in tabular form and find A∪B and A∩B
c. Find all subsets of (A∩B) and find the complement of these sets.
