Set Theory Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts

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....}

Question : 7

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

a) B

b) A

c) Φ

d) B'

Question : 8

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 : 9

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 : 10

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