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) 48
(b) 58
(c) 77
(d) 23
The correct answers to the above question in:
Answer: (d)
venn diagram of no. of failed students
No. of students failed in English only = 52 – 17 = 35
No. of students failed in maths only = 42 – 17 = 25
Total no. of failed students in either of the subjects
= 35 + 17 + 25 = 77
No. of passed student in both subjects = 100 – 77
= 23
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Read more model question set 1 Based Quantitative Aptitude Questions and Answers
Question : 1
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) 30, 000
b) 25, 000
c) 20, 000
d) 35, 000
Answer »Answer: (c)
The number of people who read only 1, only II and only II are
1% + 19% + 0% = 20% of total population = 20/100 × 100000 = 20000
Question : 2
The set of integers is closed with respect to which one of the following?
a) Both addition and Multiplication
b) Multiplication only
c) Addition only
d) Division
Answer »Answer: (a)
The set of integers is closed with respect to addition and multiplication.
e.g., Let z = {..., –3, –2, –1, 0, 1, 2, 3, ...}
1 + 2 = 3 and –2 – 1 = –3
(for addition)
1 × 2 = 2 and 2 × 1 = 2
(for multiplication)
Hence, the number of subsets is 5.
Question : 3
The set S = {x ε N : x + 3 = 3} is a
a) infinite set
b) singleton set
c) null set
d) None of the above
Answer »Answer: (c)
Given:
S = x ε N : {x + 3 = 3}
S = { }
Thus, S is a null set.
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 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 : 5
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 : 6
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'
GET Set Theory PRACTICE TEST EXERCISES
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