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

Question : 11

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}

Answer »

Question : 12

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

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Question : 13

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 :

What is the number of people who read at least two newspapers?

a) 14, 000

b) 13, 000

c) 12, 000

d) 15, 000

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Question : 14

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 »

Question : 15

In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then what percent passed in both the subjects ?

a) 48

b) 58

c) 77

d) 23

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