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Sets and Functions MCQs — Mathematics (page 7)

155 multiple-choice questions on Sets and Functions from Mathematics, each with the correct answer and, where available, a teacher's explanation. Read through them to revise the chapter, then practise the same questions one by one to test yourself.

151. A music playlist has 38 songs: 18 are qawwalis, 24 are pop songs and 8 are tagged as both. How many songs are in at least one of the two groups?

  1. 10
  2. 26
  3. 4
  4. 34

Answer: D) 34

Explanation: At least one = 18 + 24 - 8 = 34; first group only = 10; second group only = 16; exactly one = 26; neither = 38 - 34 = 4. So the answer is 34. SLO M-09-A-14 · Application

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152. The units digits of 3^1, 3^2, 3^3, 3^4, 3^5, ldots are 3, 9, 7, 1, 3, ldots The units digit of 3^20 is:

  1. 9
  2. 1
  3. 7
  4. 3

Answer: B) 1

Explanation: The pattern repeats every 4 powers; 20 is a multiple of 4, so the units digit is the 4th one, 1. SLO M-09-A-10 · Understanding

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153. A tiling pattern has 5 tiles in stage 1, 9 in stage 2 and 13 in stage 3. How many tiles are in stage 10?

  1. 50
  2. 41
  3. 45
  4. 37

Answer: B) 41

Explanation: Add 4 each stage: 4n + 1 = 4(10) + 1 = 41. SLO M-09-A-10 · Understanding

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154. If (x + 1, -2) = (7, y - 2), then:

  1. x = 7, y = -2
  2. x = 8, y = -4
  3. x = 6, y = -4
  4. x = 6, y = 0

Answer: D) x = 6, y = 0

Explanation: Equal ordered pairs have equal first and equal second elements: x + 1 = 7 Rightarrow x = 6 and y - 2 = -2 Rightarrow y = 0. SLO M-09-A-15 · Knowledge

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155. In a Venn diagram of A, B, C inside U, the region outside all three sets is:

  1. (A cup B cup C)'
  2. A cap B cap C
  3. A' cup B' cup C
  4. U - A

Answer: A) (A cup B cup C)'

Explanation: The region outside all three sets is (A cup B cup C)'. SLO M-09-A-12 · Understanding

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