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) {a, b} ⊆ {{a}, b, c}
(b) {a} ⊆ {{a}, b, c}
(c) {a} ε {{a}, {b}, c}
(d) a ⊆ {{a}, b, c}
The correct answers to the above question in:
Answer: (c)
Here, {a} is an element of {{a}, {b}, {c}}.
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Read more model question set 1 Based Quantitative Aptitude Questions and Answers
Question : 1
If A is a non-empty subset of a set E, then what is E ∪ (A ∩ Φ) – (A – Φ) equal to?
a) f
b) Complement of A
c) A
d) E
Answer »Answer: (b)
E ∪ (A ∩ Φ) – (A – Φ)
= E ∪ Φ – A = E – A = A'
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) 14, 000
b) 13, 000
c) 12, 000
d) 15, 000
Answer »Answer: (c)
As we can see from the above venn diagram the number of people who read two or more newspapers are 1% + 1% + 3% + 7% = 12% = 12/100 × 100000 = 12000
Question : 3
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.What percentage of students passed in exactly one subject?
a) 25
b) 23
c) 21
d) 27
Answer »Answer: (b)
Percentage of students passed in exactly one subject
= 7 + x + 2 + x + 2 + x = 11 + 3x = 11 + 12 = 23%
Question : 4
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.What is the ratio of number of students who passed in both Physics and Chemistry to number of students who passed in both Biology and Physics but not Chemistry?
a) 9 : 7
b) 10 : 7
c) 7 : 10
d) 7 : 9
Answer »Answer: (b)
Ratio = ${30}/{2 - x} = {30}/{25 - 4} = {30}/{21} ={10}/7$
Question : 5
Consider the following statements:
I. Set of points of a given line is a finite set.
II. Intelligent students in a class is a set.
III. Good books in a school library is a set.
Which of the above statements is/are not correct?
a) Both I and II
b) Both II and III
c) Only I
d) I, II and III
Answer »Answer: (d)
I. The set of points of a given line is not a finite set.
II. Here, we cannot decide, which students are intelligent.
III. Here, we cannot decide, which books are good a school library.
Question : 6
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.What percentage of students passed in all the three subjects?
a) 4
b) 5
c) 6
d) 3
Answer »Answer: (a)
Total passed student = 98%
7 + x + 2 + x + 2+ x + 30 – x + 25 – x + 28 – x + x = 98
94 + x = 98 ; x = 4%
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