Set Theory Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

Which one of the following is a correct statement?

a) {a, b} ⊆ {{a}, b, c}

b) {a} ⊆ {{a}, b, c}

c) {a} ε {{a}, {b}, c}

d) a ⊆ {{a}, b, c}

Question : 2

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

Question : 3

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 :

a) 14, 000

b) 13, 000

c) 12, 000

d) 15, 000

Question : 4

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

Question : 5

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

Question : 6

What is {[(A ∪ B)' ∩ A]} - (A - B) equal to?

a) B

b) A

c) Φ

d) B'