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Logical Reasoning - Venn Diagrams and Sets — Logical Reasoning Questions & Practice

Practise 2,787 Logical Reasoning - Venn Diagrams and Sets questions from Logical Reasoning for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

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Practice questions on Logical Reasoning - Venn Diagrams and Sets — with answers

Try each question first, then open the answer. Explanations are included.

1. In a survey of 188 people, 119 people play Chess and 111 people play Carrom. If 99 people do both, how many people do exactly one of the two activities?

  1. A33
  2. B32
  3. C35
  4. D37
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Answer: B

Exactly one = Only-first + Only-second = (119-99) + (111-99) = 20 + 12 = 32.

2. In a survey of 108 people, 36 people play Badminton and 53 people play Tennis. If 5 people do both, how many people do at least one of the two activities?

  1. A84
  2. B79
  3. C86
  4. D89
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Answer: A

At least one = 36 + 53 - 5 (both, counted twice, subtracted once) = 84.

3. In a survey of 128 people, 63 people speak Hindi and 60 people speak English. If 47 people do both, how many people do neither activity?

  1. A49
  2. B52
  3. C53
  4. D47
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Answer: B

Neither = Total - At least one = 128 - (63 + 60 - 47) = 128 - 76 = 52.

4. In a survey of 120 people, 60 people use Android phones and 66 people use laptops. If 48 people do both, how many people use Android phones only?

  1. A12
  2. B7
  3. C10
  4. D15
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Answer: A

Only use Android phones = (People who use Android phones) - (People who do both) = 60 - 48 = 12.

5. In a survey of 236 people, 75 people use Facebook and 136 people use Instagram. If 21 people do both, how many people do neither activity?

  1. A46
  2. B45
  3. C43
  4. D51
Show answer

Answer: A

Neither = Total - At least one = 236 - (75 + 136 - 21) = 236 - 190 = 46.

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