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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 536 · 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 28 grown-ups, 15 drink tea, 15 drink coffee and 12 drink both. How many drink neither of the two?
  2. 2.In a group of 32 children, 14 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  3. 3.In a group of 25 children, 14 play cricket, 5 play football and 2 play both. How many play at least one of the two?
  4. 4.In a group of 19 children, 8 like mangoes, 10 like bananas and 3 like both. How many like exactly one of the two?
  5. 5.In a group of 34 children, 14 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  6. 6.In a group of 34 grown-ups, 13 drink tea, 26 drink coffee and 7 drink both. How many drink exactly one of the two?
  7. 7.In a group of 35 children, 26 like mangoes, 10 like bananas and 7 like both. How many like neither of the two?
  8. 8.In a group of 16 children, 9 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  9. 9.In a group of 49 children, 27 sing Hindi songs, 21 sing English songs and 12 sing both. How many sing only English songs?
  10. 10.In a group of 32 grown-ups, 10 drink tea, 22 drink coffee and 2 drink both. How many drink only coffee?
  11. 11.In a group of 47 children, 21 like mangoes, 26 like bananas and 10 like both. How many like exactly one of the two?
  12. 12.In a group of 40 grown-ups, 16 drink tea, 24 drink coffee and 4 drink both. How many drink only coffee?
  13. 13.In a group of 40 children, 23 like mangoes, 13 like bananas and 3 like both. How many like only mangoes?
  14. 14.In a group of 28 children, 17 play chess, 19 play carrom and 10 play both. How many play only carrom?
  15. 15.In a group of 47 grown-ups, 29 drink tea, 26 drink coffee and 11 drink both. How many drink neither of the two?
  16. 16.In a group of 47 grown-ups, 31 drink tea, 26 drink coffee and 11 drink both. How many drink only tea?
  17. 17.In a group of 51 children, 24 like mangoes, 19 like bananas and 6 like both. How many like neither of the two?
  18. 18.In a group of 29 children, 17 enjoy drawing, 19 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 31 children, 21 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 46 children, 25 enjoy drawing, 21 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  21. 21.In a group of 28 children, 12 play chess, 16 play carrom and 3 play both. How many play exactly one of the two?
  22. 22.In a group of 48 children, 24 enjoy drawing, 18 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  23. 23.In a group of 38 children, 9 like mangoes, 21 like bananas and 2 like both. How many like only bananas?
  24. 24.In a group of 41 children, 20 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing neither of the two?
  25. 25.In a group of 18 children, 7 sing Hindi songs, 6 sing English songs and 3 sing both. How many sing exactly one of the two?
  26. 26.In a group of 38 children, 22 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 43 children, 15 play chess, 28 play carrom and 10 play both. How many play only chess?
  28. 28.In a group of 29 children, 19 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 35 children, 21 play cricket, 14 play football and 7 play both. How many play exactly one of the two?
  30. 30.In a group of 45 children, 20 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 14 grown-ups, 9 drink tea, 7 drink coffee and 3 drink both. How many drink at least one of the two?
  32. 32.In a group of 42 grown-ups, 23 drink tea, 22 drink coffee and 8 drink both. How many drink exactly one of the two?
  33. 33.In a group of 46 children, 24 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 37 children, 18 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing neither of the two?
  35. 35.In a group of 32 grown-ups, 23 drink tea, 19 drink coffee and 11 drink both. How many drink neither of the two?
  36. 36.In a group of 52 children, 29 sing Hindi songs, 17 sing English songs and 9 sing both. How many sing at least one of the two?
  37. 37.In a group of 40 children, 20 like mangoes, 16 like bananas and 5 like both. How many like at least one of the two?
  38. 38.In a group of 53 children, 19 play chess, 22 play carrom and 2 play both. How many play at least one of the two?
  39. 39.In a group of 40 children, 18 like mangoes, 28 like bananas and 11 like both. How many like at least one of the two?
  40. 40.In a group of 57 children, 29 sing Hindi songs, 25 sing English songs and 12 sing both. How many sing only English songs?

Answer key

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

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