Sets Theory – Exercise Questions And Answers & Set Practice
Set Theory Questions And Answers, Set Theory Questions For Aptitude, Set Theory Question Bank, Sets Questions And Answers,
Set Theory Questions Exercise for Practice
Question (1):- In a group of 90 students 65 students like tea and 35 students like coffee then how many students like both tea and coffee.
- A) 40 B) 20
- C) 30 D) 10
Answer:- n(C U T) = 90; n(T) = 65, n(C) = 35
So n(C U T) = n(C) + n(T) – n(C ∩ T)
= 90 = 35 + 65 – n(C ∩ T)
n(C ∩ T) = 100 – 90 = 10
so option number (D) is right.
Set Theory – Aptitude Questions And Answers
Question (2):- In a group of 1500 people 800 people talk in Hindi and 900 people talk in English then how many people speak both Hindi and English.
- A) 200 B) 400
- C) 300 D) 600
Answer:- Number of people who speak both
= 1500 = 800 + 900 – n(H ∩ E)
n(H ∩ E) = 1700 – 1500 = 200
So option number (A) is right.
Set Theory Questions For Aptitude
Question (3):- If in a set 8 members are present then bow many subset of that set.
- A) 256 B) 512
- C) 128 D) none of these
Answer:- Number of subset = 28 = 256
So option number (A) is right.
Set Theory Question Bank
Question (4):- How many members are present in any power set?
- A) 0 B) 1
- C) 2 D) ф
Answer:- (A)
Sets Questions And Answer
Question (5):- How many subset of an empty set?
- A) 0 B) 1
- C) 2 D) none f these
Answer:- Number of subset of an empty set
= 2n = 20 = 1
So option number (B) is right.
Questions On Set For Class 10
Question (6):-A∩(B-A)is equal to?
- A) 1 B) 0
- C) 2 D) ф
Answer:- Let A = {1, 2, 3, 4} and B = {1, 2, 3, 4, 5, 6}
B – A = {5, 6}
So A ∩ (B – A) = ф
So option number (D) is right.
Set Theory Exercises With Answers
Question (7):- In a group of 60 students. 45 students speak Hindi and 25 students can speak English and Hindi both then how many students can speak only English.
- A) 25 B) 35
- C) 45 D) 15
Answer:- n(H U E) = 60, n(H) = 45, n(H ∩ E) = 25.
n(H U E) = n(H) + n(E) – n(H ∩ E)
So total numbers of people who speak only English
= 60 = 45 + n(E) – 25 = 40 – 25 = 15
So option number (D) is right.
Set Theory Practice Questions And Answers
Question (8):- In a city which population is 60000 there 35000 people read Hindi news paper 25000 people read English news paper and 8000 people read Hindi and English news paper then how many people not read any news paper?
- A) 9000 B) 10000
- C) 8000 D) 12000
Answer:- Total people who read news paper
35000 + 25000 – 8000 = 52000
So numbers of people who do not read news paper
= 60000 – 52000 = 8000
So option number (C) is right.
Set Theory Questions Answers
Question (9):- In a school 400 students speak Hindi 200 can speak English 200 can speak both Hindi and English then find the total number of students in That school.
- A) 500 B) 200
- C) 400 D) 700
Answer:- n(H) = 400; n(E) = 200; n(H∩E) = 200
So n(H U E) = n(H) + n(E) – n(H∩E)
Total number of students of that school
= 400 + 200 – 200 = 400
So option number (C) is right.
Set Theory Practice Questions And Answers
Question (10):- In a group of 50 people 35 people eat mango and 5 people eat mango and banana both then how many people eat only banana?
- A) 35 B) 40
- C) 20 D) 25
Answer:-n (m ∪b)= 50;n(m)= 35;
n(m∩b)= 5
∴n (m ∪b)= n(m)+n(b)-n(m∩b)
50 = 30 + n(b) – 5
n(b) = 25
So 25 people eat only banana.
So option number (D) is right.
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