Set Theory Model Questions Set 1 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
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 : 17
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 : 18
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 : 19
If A = {(22n – 3n – 1)|n ∈ N} and B = {9(n – 1)|n ∈ N}, then which one of the following is correct?
a) A = B
b) B ⊂ A
c) A ⊂ B
d) Neither A is a subset of B nor B is a subset of A
Answer »Answer: (c)
Given:
A = {($2^{2n}$ – 3n – 1) | n ε N}
= {0, 9, 54, 243, ...}
and B = {9(n – 1) | n ε N}
= {0, 9, 18, 27, ...}
From the above, it is clear that A ε B.
Question : 20
Let A denote the set of quadrilaterals having two diagonals equal and bisecting each other. Let B denote the set of quadrilaterals having diagonals bisecting each other at 90°. Then A ∩ B denotes
a) the set of squares
b) the set of rhombuses
c) the set of parallelograms
d) the set of rectangles
Answer »Answer: (b)
Externality is a result of an economic activity which is realised by third one. It may be of two types - negative and positive. Pollution caused by a factory is negative one and increase in land price of a plot due to construction of a road.
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Set Theory Model Questions Set 1 Online Quiz
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