Set Theory

JKSSB Panchayat Account Assistant · Mathematics/Statistics · 15 practice questions with answers and explanations: 4 Easy, 6 Medium, 5 Hard.

Sample questions

Sample Easy question 1

What symbol represents the intersection of two sets?

  1. ∩
  2. ∈
  3. ∪
  4. ⊆
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Answer: A. The intersection symbol ∩ represents elements common to both sets.

Sample Medium question 2

According to De Morgan's law, (A ∪ B)′ equals:

  1. A′ ∪ B′
  2. A′ ∩ B′
  3. A ∩ B
  4. A′ − B′
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Answer: B. The complement of a union is the intersection of the complements: (A ∪ B)′ = A′ ∩ B′.

Sample Hard question 3

If a set has n elements, how many subsets does it have (including the empty set)?

  1. 2ⁿ
  2. n
  3. n²
  4. 2n
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Answer: A. A set with n elements has 2ⁿ possible subsets.

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