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CAT Sets Questions with Answers & Explanations

17 Sets questions from the Quantitative Ability section of CAT, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

If n(A) = 29, n(B) = 26 and n(A ∩ B) = 12, what is n(A ∪ B)?

  1. A67
  2. B43
  3. C55
  4. D31
Show answer
Answer: (B) 43 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 43.
Question 2

If n(A) = 37, n(B) = 43 and n(A ∩ B) = 21, what is n(A ∪ B)?

  1. A59
  2. B80
  3. C101
  4. D38
Show answer
Answer: (A) 59 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 59.
Question 3

If n(A) = 57, n(B) = 51 and n(A ∩ B) = 39, what is n(A ∪ B)?

  1. A30
  2. B108
  3. C69
  4. D147
Show answer
Answer: (C) 69 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 69.
Question 4

If n(A) = 32, n(B) = 39 and n(A ∩ B) = 11, what is n(A ∪ B)?

  1. A49
  2. B71
  3. C60
  4. D82
Show answer
Answer: (C) 60 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 60.
Question 5

If n(A) = 20, n(B) = 22 and n(A ∩ B) = 8, what is n(A ∪ B)?

  1. A26
  2. B50
  3. C34
  4. D42
Show answer
Answer: (C) 34 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 34.
Question 6

If n(A) = 25, n(B) = 53 and n(A ∩ B) = 9, what is n(A ∪ B)?

  1. A69
  2. B78
  3. C87
  4. D60
Show answer
Answer: (A) 69 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 69.
Question 7

If n(A) = 20, n(B) = 56 and n(A ∩ B) = 12, what is n(A ∪ B)?

  1. A76
  2. B52
  3. C64
  4. D88
Show answer
Answer: (C) 64 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 64.
Question 8

If n(A) = 44, n(B) = 56 and n(A ∩ B) = 11, what is n(A ∪ B)?

  1. A100
  2. B89
  3. C78
  4. D111
Show answer
Answer: (B) 89 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 89.
Question 9

If n(A) = 24, n(B) = 35 and n(A ∩ B) = 13, what is n(A ∪ B)?

  1. A72
  2. B46
  3. C59
  4. D33
Show answer
Answer: (B) 46 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 46.
Question 10

If n(A) = 59, n(B) = 39 and n(A ∩ B) = 11, what is n(A ∪ B)?

  1. A76
  2. B87
  3. C109
  4. D98
Show answer
Answer: (B) 87 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 87.

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Question 11

If n(A) = 33, n(B) = 52 and n(A ∩ B) = 7, what is n(A ∪ B)?

  1. A85
  2. B92
  3. C78
  4. D71
Show answer
Answer: (C) 78 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 78.
Question 12

If n(A) = 47, n(B) = 52 and n(A ∩ B) = 42, what is n(A ∪ B)?

  1. A141
  2. B15
  3. C99
  4. D57
Show answer
Answer: (D) 57 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 57.
Question 13

If n(A) = 22, n(B) = 34 and n(A ∩ B) = 14, what is n(A ∪ B)?

  1. A42
  2. B56
  3. C70
  4. D28
Show answer
Answer: (A) 42 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 42.
Question 14

If n(A) = 23, n(B) = 39 and n(A ∩ B) = 13, what is n(A ∪ B)?

  1. A75
  2. B49
  3. C36
  4. D62
Show answer
Answer: (B) 49 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 49.
Question 15

If n(A) = 35, n(B) = 37 and n(A ∩ B) = 21, what is n(A ∪ B)?

  1. A93
  2. B30
  3. C72
  4. D51
Show answer
Answer: (D) 51 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 51.
Question 16

If n(A) = 24, n(B) = 52 and n(A ∩ B) = 6, what is n(A ∪ B)?

  1. A82
  2. B64
  3. C76
  4. D70
Show answer
Answer: (D) 70 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 70.
Question 17

If n(A) = 53, n(B) = 46 and n(A ∩ B) = 13, what is n(A ∪ B)?

  1. A99
  2. B86
  3. C73
  4. D112
Show answer
Answer: (B) 86 n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 86.

These are RankerClub practice questions written in the CAT pattern. They are not official SSC/IBPS/RRB papers.

More Quantitative Ability topics

Number System 22 Qs Algebra 19 Qs Profit, Loss & Discount 19 Qs Geometry 19 Qs Mensuration 18 Qs Coordinate Geometry 18 Qs Simple & Compound Interest 17 Qs Trigonometry 17 Qs

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