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MAT Venn Diagrams — practice questions

Explore 3 free Venn Diagrams questions in MAT Analyticalability. Open each question or exercise to read its content, reference answers and available explanation.

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Venn Diagrams questions and exercises with answers

Showing questions 1–3 of 3.

In a survey of 100 students, 60 like Maths, 50 like Science, 30 like both. How many like neither?Read the answer and worked solution →Out of 200 candidates, 120 passed English, 80 passed Maths, 50 passed both. How many failed both?Read the answer and worked solution →A class has 40 students. 25 take Hindi, 20 take French, 10 take both. How many take only Hindi?Read the answer and worked solution →

Worked practice questions

In a survey of 100 students, 60 like Maths, 50 like Science, 30 like both. How many like neither?

  1. 10
  2. 30
  3. 40
  4. 20
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Correct answer: D. 20

1. By inclusion-exclusion: like Maths or Science = 60 + 50 − 30 = 80. 2. Like neither = 100 − 80. 3. Answer: 20. _Source: TSICET 2024 PYQ Q.69 (Shift 1, Sets)_

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Out of 200 candidates, 120 passed English, 80 passed Maths, 50 passed both. How many failed both?

  1. 40
  2. 30
  3. 20
  4. 50
Show answer and solution

Correct answer: D. 50

1. Passed at least one = 120 + 80 − 50 = 150. 2. Failed both = 200 − 150 = 50. 3. Answer: 50. _Source: TSICET 2024 PYQ Q.70 (Shift 1, Sets)_

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A class has 40 students. 25 take Hindi, 20 take French, 10 take both. How many take only Hindi?

  1. 25
  2. 20
  3. 10
  4. 15
Show answer and solution

Correct answer: D. 15

1. Only Hindi = total Hindi − both = 25 − 10. 2. = 15. 3. Answer: 15. _Source: TSICET 2024 PYQ Q.71 (Shift 1, Sets)_

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