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

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.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

Question : 2

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 : 3

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 : 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 all the three subjects?

a) 4

b) 5

c) 6

d) 3

Question : 5

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

a) B

b) A

c) Φ

d) B'

Question : 6

The set {2, 4, 16, 256, ...} can be represented as which one of the following?

a) {x ε N| x = $2^{4n}$ , n = 0, 1, 2, ..}

b) {x ε N | x = $2^2^n$, n = 0,1, 2, ...}

c) {x ε N | x = $2^2^n$ , n ε N }

d) {x ε N| x = $2^{2n}$, n = 0, 1, 2....}