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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 113 · 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 44 grown-ups, 12 drink tea, 23 drink coffee and 6 drink both. How many drink neither of the two?
  2. 2.In a group of 26 grown-ups, 8 drink tea, 16 drink coffee and 5 drink both. How many drink exactly one of the two?
  3. 3.In a group of 40 children, 24 like mangoes, 18 like bananas and 11 like both. How many like exactly one of the two?
  4. 4.In a group of 30 children, 9 play chess, 19 play carrom and 2 play both. How many play neither of the two?
  5. 5.In a group of 29 children, 16 play cricket, 8 play football and 2 play both. How many play exactly one of the two?
  6. 6.In a group of 43 children, 10 sing Hindi songs, 24 sing English songs and 5 sing both. How many sing only Hindi songs?
  7. 7.In a group of 50 children, 22 like mangoes, 20 like bananas and 3 like both. How many like at least one of the two?
  8. 8.In a group of 36 children, 18 play chess, 9 play carrom and 2 play both. How many play only carrom?
  9. 9.In a group of 32 children, 18 like mangoes, 14 like bananas and 6 like both. How many like only mangoes?
  10. 10.In a group of 43 children, 21 play chess, 24 play carrom and 4 play both. How many play only carrom?
  11. 11.In a group of 36 children, 23 play cricket, 17 play football and 10 play both. How many play neither of the two?
  12. 12.In a group of 53 children, 29 play chess, 27 play carrom and 12 play both. How many play only carrom?
  13. 13.In a group of 29 children, 9 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 22 children, 15 like mangoes, 7 like bananas and 2 like both. How many like neither of the two?
  15. 15.In a group of 33 children, 19 play chess, 19 play carrom and 10 play both. How many play neither of the two?
  16. 16.In a group of 48 children, 27 enjoy drawing, 19 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 19 children, 9 like mangoes, 12 like bananas and 5 like both. How many like only bananas?
  18. 18.In a group of 37 children, 10 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 56 children, 29 sing Hindi songs, 29 sing English songs and 12 sing both. How many sing only English songs?
  20. 20.In a group of 47 children, 19 play chess, 20 play carrom and 2 play both. How many play at least one of the two?
  21. 21.In a group of 46 children, 26 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 36 children, 12 like mangoes, 12 like bananas and 3 like both. How many like only bananas?
  23. 23.In a group of 42 children, 22 play cricket, 19 play football and 6 play both. How many play at least one of the two?
  24. 24.In a group of 31 children, 15 play chess, 14 play carrom and 6 play both. How many play at least one of the two?
  25. 25.In a group of 30 children, 12 like mangoes, 23 like bananas and 9 like both. How many like neither of the two?
  26. 26.In a group of 39 children, 15 play chess, 12 play carrom and 2 play both. How many play only chess?
  27. 27.In a group of 36 children, 19 play cricket, 12 play football and 2 play both. How many play only cricket?
  28. 28.In a group of 33 children, 18 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 36 grown-ups, 27 drink tea, 13 drink coffee and 9 drink both. How many drink neither of the two?
  30. 30.In a group of 31 children, 24 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing neither of the two?
  31. 31.In a group of 39 children, 26 like mangoes, 23 like bananas and 11 like both. How many like exactly one of the two?
  32. 32.In a group of 38 grown-ups, 16 drink tea, 19 drink coffee and 11 drink both. How many drink only coffee?
  33. 33.In a group of 39 children, 16 enjoy drawing, 19 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 42 children, 18 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 41 children, 27 enjoy drawing, 17 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 40 children, 18 like mangoes, 18 like bananas and 4 like both. How many like only bananas?
  37. 37.In a group of 35 children, 19 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 46 grown-ups, 21 drink tea, 24 drink coffee and 5 drink both. How many drink exactly one of the two?
  39. 39.In a group of 42 children, 22 enjoy drawing, 20 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  40. 40.In a group of 46 children, 30 play cricket, 22 play football and 11 play both. How many play exactly one of the two?

Answer key

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

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