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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 270 · 40 questions
TalentJR

How to think it through (Middle first): Put “both” in the overlap. Only A = A − both; only B = B − both; at least one = A + B − both. Neither = total − at least one; exactly one = only A + only B.

NameDateTime takenScore ___ / 40
  1. 1.In a group of 46 children, 21 play chess, 29 play carrom and 10 play both. How many play only chess?
  2. 2.In a group of 36 children, 26 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 37 children, 28 like mangoes, 15 like bananas and 11 like both. How many like at least one of the two?
  4. 4.In a group of 26 grown-ups, 13 drink tea, 16 drink coffee and 4 drink both. How many drink only coffee?
  5. 5.In a group of 43 children, 25 like mangoes, 25 like bananas and 12 like both. How many like at least one of the two?
  6. 6.In a group of 38 children, 20 play chess, 19 play carrom and 7 play both. How many play only chess?
  7. 7.In a group of 33 children, 16 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  8. 8.In a group of 41 children, 15 play chess, 22 play carrom and 7 play both. How many play neither of the two?
  9. 9.In a group of 35 grown-ups, 18 drink tea, 20 drink coffee and 10 drink both. How many drink only coffee?
  10. 10.In a group of 34 children, 19 like mangoes, 6 like bananas and 2 like both. How many like only mangoes?
  11. 11.In a group of 27 grown-ups, 16 drink tea, 8 drink coffee and 4 drink both. How many drink exactly one of the two?
  12. 12.In a group of 44 children, 12 play chess, 22 play carrom and 4 play both. How many play neither of the two?
  13. 13.In a group of 30 children, 20 play chess, 13 play carrom and 7 play both. How many play only carrom?
  14. 14.In a group of 49 children, 24 play chess, 18 play carrom and 6 play both. How many play exactly one of the two?
  15. 15.In a group of 44 children, 22 play chess, 23 play carrom and 8 play both. How many play at least one of the two?
  16. 16.In a group of 30 children, 13 like mangoes, 11 like bananas and 7 like both. How many like at least one of the two?
  17. 17.In a group of 48 children, 25 play chess, 25 play carrom and 6 play both. How many play neither of the two?
  18. 18.In a group of 19 children, 14 play cricket, 11 play football and 8 play both. How many play neither of the two?
  19. 19.In a group of 34 children, 13 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing neither of the two?
  20. 20.In a group of 47 children, 26 play cricket, 25 play football and 10 play both. How many play only football?
  21. 21.In a group of 24 children, 10 like mangoes, 9 like bananas and 6 like both. How many like neither of the two?
  22. 22.In a group of 57 grown-ups, 22 drink tea, 28 drink coffee and 8 drink both. How many drink only tea?
  23. 23.In a group of 46 children, 26 enjoy drawing, 21 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  24. 24.In a group of 28 grown-ups, 8 drink tea, 19 drink coffee and 3 drink both. How many drink neither of the two?
  25. 25.In a group of 45 children, 26 play chess, 18 play carrom and 12 play both. How many play neither of the two?
  26. 26.In a group of 51 grown-ups, 28 drink tea, 21 drink coffee and 12 drink both. How many drink neither of the two?
  27. 27.In a group of 36 children, 15 play cricket, 22 play football and 10 play both. How many play exactly one of the two?
  28. 28.In a group of 35 children, 20 play cricket, 20 play football and 10 play both. How many play only football?
  29. 29.In a group of 45 children, 20 play chess, 18 play carrom and 8 play both. How many play only carrom?
  30. 30.In a group of 54 children, 29 like mangoes, 20 like bananas and 9 like both. How many like only bananas?
  31. 31.In a group of 34 children, 21 play chess, 7 play carrom and 3 play both. How many play neither of the two?
  32. 32.In a group of 34 children, 24 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 21 children, 8 like mangoes, 16 like bananas and 4 like both. How many like only mangoes?
  34. 34.In a group of 60 children, 31 like mangoes, 27 like bananas and 12 like both. How many like at least one of the two?
  35. 35.In a group of 40 children, 18 like mangoes, 10 like bananas and 3 like both. How many like at least one of the two?
  36. 36.In a group of 25 grown-ups, 15 drink tea, 11 drink coffee and 3 drink both. How many drink only coffee?
  37. 37.In a group of 37 children, 28 play cricket, 11 play football and 8 play both. How many play exactly one of the two?
  38. 38.In a group of 46 children, 24 like mangoes, 20 like bananas and 7 like both. How many like only bananas?
  39. 39.In a group of 52 children, 27 play cricket, 20 play football and 7 play both. How many play only football?
  40. 40.In a group of 39 children, 11 like mangoes, 22 like bananas and 8 like both. How many like neither of the two?

Answer key

  1. 11
  2. 31
  3. 32
  4. 12
  5. 38
  6. 13
  7. 1
  8. 11
  9. 10
  10. 17
  11. 16
  12. 14
  13. 6
  14. 30
  15. 37
  16. 17
  17. 4
  18. 2
  19. 14
  20. 15
  21. 11
  22. 14
  23. 38
  24. 4
  25. 13
  26. 14
  27. 17
  28. 10
  29. 10
  30. 11
  31. 9
  32. 33
  33. 4
  34. 46
  35. 25
  36. 8
  37. 23
  38. 13
  39. 13
  40. 14

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