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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. 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.

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. 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.

4. 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.

5. 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.

6. If A ⊂ B, which of the following statements is ALWAYS TRUE?

  1. Every element of B is in A
  2. Every element of A is in B
  3. n(A) is greater than n(B)
  4. A' = B
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Answer: B

By definition of a subset, if A ⊂ B, every element of set A is also an element of set B.

7. Let ξ = {all letters in 'MALAYSIA'}. Find n(ξ).

  1. 8
  2. 5
  3. 6
  4. 7
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Answer: B

Unique letters in 'MALAYSIA' are {M, A, L, Y, S}. So n(ξ) = 5.

8. Which of the following represents an empty set?

  1. {0}
  2. { ϕ }
  3. ϕ
  4. { null }
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Answer: C

The empty set is represented either by the symbol ϕ or empty curly braces {}.

9. Given set T = {factors of 12}. Which number is NOT an element of T?

  1. 3
  2. 4
  3. 5
  4. 6
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Answer: C

Factors of 12 are {1, 2, 3, 4, 6, 12}. 5 is not a factor of 12, so 5 ∉ T.

10. Let ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 3, 5, 7}. Find A'.

  1. {1, 4, 6, 8, 9}
  2. {2, 3, 5, 7}
  3. {1, 2, 3, 4, 5}
  4. {6, 7, 8, 9}
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Answer: A

The complement A' consists of all elements in universal set ξ that are NOT in set A, which are {1, 4, 6, 8, 9}.

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