Set Theory Model Questions Set 2 Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 2 EXERCISES
The following question based on Set Theory topic of quantitative aptitude
(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
The correct answers to the above question in:
Answer: (b)
A and B are non-empty set
A = m elements
B = n elements
m > n, A > B
m = n + 1
Discuss Form
Read more model question set 2 Based Quantitative Aptitude Questions and Answers
Question : 1
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
Question : 2
Consider the following for the next three (03) items : In a certain town of population size 1,00,000 three types of newspapers (I, II and III) are available. The percentages of the people in the town who read these papers are as follows :
Newspaper | Proportion of readers |
I | 10 % |
II | 30 % |
III | 5 % |
Both I and II | 8 % |
Both II and III | 4 % |
Both I and III | 2 % |
All the three (I, II and III) | 1 % |
a) 66, 000
b) 64, 000
c) 62, 000
d) 68, 000
Answer »Answer: (d)
Number of people who do not read any of these newspaper = total population – number of people who read atleast one of these newspapers.
number of people who read atleast one of these newspapers = 1% + 1% + 3% + 1% + 7% + 19% = 32% of total population = 32000
required number of people = 100000 – 32000 = 68000
Question : 3
If A = {x : $x^2$ – 6x + 8 = 0} and B = {x : $2x^2$ + 3x – 2 = 0} Then, which one of the following is correct?
a) Neither A ⊆ B nor B ⊆ A
b) B ⊆ A
c) A ⊆ B
d) A = B
Answer »Answer: (a)
Given, A ≡ $x^2$ – 6x + 8 = 0
⇒ (x – 4) (x – 2) = 0
⇒ x = 4, 2
and B ≡ $2x^2$ + 3x – 2 = 0
⇒ (2x – 1) (x + 2) = 0
⇒ x = $1/2$ , –2
Hence, neither A ⊆ B nor B ⊆ A.
Question : 4
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 : 5
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 : 6
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%
GET Set Theory PRACTICE TEST EXERCISES
Set Theory Model Questions Set 1
Set Theory Model Questions Set 2
Set Theory Shortcuts and Techniques with Examples
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
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 »