Set Theory Model Questions Set 2 Practice Questions Answers Test with Solutions & More Shortcuts
Set Theory PRACTICE TEST [2 - EXERCISES]
Set Theory Model Questions Set 1
Set Theory Model Questions Set 2
Question : 16
In an examination, 35% students failed in Hindi, 45% students failed in English and 20% students failed in both the subjects. What is the percentage of students passing in both the subjects?
a) 30
b) 20
c) 0
d) 40
Answer »Answer: (d)
Let the total number of students be 100%
Number of students failed in Hindi = 35%
Number of students failed in English = 45%
Number of students failed in both the subjects = 20%
Total number of students failed = (35 + 45 – 20)% = 60%
Number of students passing in both the subjects = (100 – 60)% = 40%
Question : 17
Let A = {7, 8, 9, 10, 11, 12} and B = {7, 10, 14, 15}. What is the number of elements in (A–B) and (B–A) respectively ?
a) 2 and 2
b) 4 and 2
c) 2 and 4
d) 4 and 4
Answer »Answer: (b)
A = {7, 8, 9, 10, 11, 12}; B = {7, 10, 14, 15}
(A – B) = {8, 9, 11, 12} (B – A) = {14, 15}
n (A – B) = 4; n (B – A) = 2
Question : 18
In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% candidates failed in both English and Mathematics, what percentage of candidates passed in both the subjects?
a) 23%
b) 21%
c) 18%
d) 25%
Answer »Answer: (a)
Total number of candidates = 100%
Percentage of candidates passed in both the subjects
= {100 – (25 + 17 + 35)}% = 23%
Question : 19
Let A and B be finite non-empty sets with the number of elements in A = m and number of elements in B = n. Let m > n. If for some integer k ≥ 1, the number of nonempty subsets of A = $2^k$ + the number of non-empty subsets of B, then which one of the following is correct?
a) m = n + p for some odd prime number p
b) m = n + 1
c) m = n + 2
d) m = n + t for some composite number t
Answer »Answer: (b)
A and B are non-empty set
A = m elements
B = n elements
m > n, A > B
m = n + 1
Question : 20
If A = (x : x is a multiple of 7),
B = (x : x is a multiple of 5) and
C = (X : x is a multiple of 35),
then which one of the following is a null set ?
a) (A ∩ B) ∩ C
b) (A– B) – C
c) (A – B) ∪ C
d) (A ∩ B) – C
Answer »Answer: (d)
A = {7, 14, 21.............}
B = {5, 10, 15..............}
C = {35, 70, 105..............}
(A ∩ B) = {35, 70, 105.......} i.e. LCM of 7 and 5 i.e. multiple of 35
A ∩ B – C = Φ
IMPORTANT quantitative aptitude EXERCISES
Set Theory Model Questions Set 2 Online Quiz
Click to Start..quantitative aptitude CATEGORIES
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
100+ Quadratic Equation Questions Answers PDF for Bank
Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
IBPS Aptitude Linear Equations MCQ Questions Answers PDF
Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »