Set Theory Model Questions Set 1 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) 15
(b) 10
(c) 5
(d) 20
The correct answers to the above question in:
Answer: (a)
Total number of teachers = 30.
Number of teachers who teaches only Math
= 20 – 5 = 15.
Discuss Form
Read more model question set 1 Based Quantitative Aptitude Questions and Answers
Question : 1
Consider the following for the next 04 (four) items that follow : In an examination of Class XII, 55% students passed in Biology, 62% passed in Physics, 60% passed in Chemistry, 25% passed in Physics and Biology, 30% passed in Physics and Chemistry, 28% passed in Biology and Chemistry. Only 2% failed in all the subjects.If the number of students is 360, then how many passed in at least two subjects?
a) 265
b) 263
c) 270
d) 260
Answer »Answer: (c)
Passed in at least two subject
= ${25 - x + 30 - x + 28 - x + x}/{100}$ × 360
= ${83 - 2x}/{100}$ × 360 = 270
Question : 2
Out of 105 students taking an examination English and Mathematics, 80 students pass in English, 75 students pass in Mathematics 10 students fail in both the subjects. How many students fail in only one subject?
a) 35
b) 30
c) 26
d) 45
Answer »Answer: (d)
Number of students failing in Mathematics
= 105 – 75 = 30
Number of students failing in English
= 105 – 80 = 25
∴ Number of students failing in 1 subject
= (25 + 30) – 10 = 45
Question : 3
In a gathering of 100 people, 70 of them can speak Hindi, 60 can speak English and 30 can speak French Further, 30 of them can speak both Hindi and English. 20 can speak both Hindi and French. If x is the number of people who can speak both English and French, then which one of the following is correct? (Assume that everyone can speak at least one of the three languages)
a) x = 9
b) 0 ≤ x < 8
c) 9 < x ≤ 30
d) x = 8
Answer »Answer: (a)
Let n(A) be no. of people who speak Hindi
⇒ n(A) = 70
Let n(B) be no. of people who speak English
⇒ n(B) = 60
Let n(C) be no. of people who speak French
⇒ n(C) = 30
Given n (A ∪ B ∪ C) = 100
n(A ∩ B) = 30, n(A ∪ C) = 20
n (B ∩ C) = x, n(A ∩ B ∩ C) = 1
We know that
n(A ∪ B ∪ C) = n(A) + n(B) + n (C) - n(A ∩ B)
- n (B ∩ C) - n(C ∩ A) - n(A ∩ B ∩ C)
100 = 70 + 60 + 30 – 30 – x – 20 – 1
100 = 109 – x
⇒ x = 109 – 100
⇒ x = 9
∴ Option (a) is correct.
Question : 4
Which one of the following is not correct in respect of the sets A and B?
a) If A ⊆ B, then B ∩ A = A
b) If A ⊆ B, then A ∩ (A – B) = Φ
c) If A ⊆ B, then B ∪ A = B
d) If A ∩ B = Φ, then either A = Φ or B = Φ
Answer »Answer: (d)
If A ∩ B = Φ, then it is not necessary that either A = f or B = f
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
Puzzle Reasoning Questions Answers PDF: IBPS Clerk 2024
Top Reasoning Puzzle Test questions with answers, fully solved explanation and download PDF for IBPS Clerk Prelims 2024. Aptitude MCQ-based practice test
Continue Reading »
Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024
Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam
Continue Reading »
Syllogism Practice Questions Answers PDF - IBPS Clerk 2024
Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam
Continue Reading »
IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers
Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download
Continue Reading »