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Quiz Chapter 11: Introduction to Set

10 questions · Form 1 Mathematics Bab 10: Introduction to Set

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. Which statement correctly describes the relationship between ϕ and set A?

  1. A ⊂ ϕ
  2. ϕ ∈ A
  3. ϕ ⊂ A
  4. n(ϕ) = 1
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Answer: C

The empty set ϕ is a subset of every set, written as ϕ ⊂ A.

2. A set has 32 subsets. How many elements are in this set?

  1. 4
  2. 5
  3. 6
  4. 16
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Answer: B

2^n = 32 => 25 = 32, so n = 5 elements.

3. Given ξ = {x : x is an integer, 1 ≤ x ≤ 10}, A = {odd numbers}, and B = {multiples of 3}. Find n(A').

  1. 5
  2. 4
  3. 6
  4. 10
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Answer: A

ξ = {1..10}. A = {1, 3, 5, 7, 9}. A' = {2, 4, 6, 8, 10}. Therefore n(A') = 5.

4. Which set notation describes set Q = {2, 3, 5, 7, 11}?

  1. {x : x is an odd number less than 12}
  2. {x : x is a prime number less than 12}
  3. {x : x is a factor of 11}
  4. {x : x is a whole number less than 12}
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Answer: B

2, 3, 5, 7, and 11 are all prime numbers less than 12.

5. If set S has 3 elements, how many subsets does it have?

  1. 3
  2. 6
  3. 8
  4. 9
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Answer: C

Number of subsets = 2^n = 23 = 8.

6. Given ξ = {1, 2, 3, 4, 5, 6, 7, 8} and A = {2, 4, 6, 8}. What is the relationship between A and ξ?

  1. A = ξ
  2. A ⊂ ξ
  3. ξ ⊂ A
  4. A' = ξ
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Answer: B

All elements of A belong to universal set ξ, so A is a subset of ξ (A ⊂ ξ).

7. If set X = {a, b}, which of the following is NOT a subset of X?

  1. ϕ
  2. {a}
  3. {a, b}
  4. {a, b, c}
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Answer: D

{a, b, c} contains element 'c' which is not present in set X.

8. How many elements are in the set P = {x : x is a perfect square, 10 < x < 30}?

  1. 2
  2. 3
  3. 4
  4. 5
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Answer: A

Perfect squares between 10 and 30 are 16 (4²) and 25 (5²). So P = {16, 25} and n(P) = 2.

9. Given set B = {x : x is a multiple of 5 and x < 25}. Which of the following is TRUE?

  1. 25 ∈ B
  2. 15 ∉ B
  3. 20 ∈ B
  4. 0 ∈ B
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Answer: C

B = {5, 10, 15, 20}. Since 20 is in set B, 20 ∈ B is true.

10. If n(ξ) = 20 and n(A) = 7, find n(A').

  1. 13
  2. 27
  3. 14
  4. 7
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Answer: A

n(A') = n(ξ) - n(A) = 20 - 7 = 13.

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