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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 315 · 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 38 children, 17 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  2. 2.In a group of 34 children, 21 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 51 grown-ups, 28 drink tea, 28 drink coffee and 9 drink both. How many drink only coffee?
  4. 4.In a group of 49 children, 15 like mangoes, 27 like bananas and 8 like both. How many like only bananas?
  5. 5.In a group of 39 children, 14 enjoy drawing, 18 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 48 children, 24 play cricket, 32 play football and 12 play both. How many play neither of the two?
  7. 7.In a group of 36 children, 8 play cricket, 20 play football and 5 play both. How many play neither of the two?
  8. 8.In a group of 26 children, 7 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only Hindi songs?
  9. 9.In a group of 22 children, 6 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing exactly one of the two?
  10. 10.In a group of 29 children, 24 play chess, 7 play carrom and 4 play both. How many play neither of the two?
  11. 11.In a group of 29 children, 13 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  12. 12.In a group of 48 children, 27 like mangoes, 22 like bananas and 11 like both. How many like only mangoes?
  13. 13.In a group of 30 children, 14 play cricket, 14 play football and 6 play both. How many play only cricket?
  14. 14.In a group of 37 children, 15 play cricket, 21 play football and 9 play both. How many play neither of the two?
  15. 15.In a group of 57 grown-ups, 27 drink tea, 25 drink coffee and 10 drink both. How many drink neither of the two?
  16. 16.In a group of 54 grown-ups, 30 drink tea, 28 drink coffee and 12 drink both. How many drink only tea?
  17. 17.In a group of 30 children, 20 play chess, 17 play carrom and 11 play both. How many play at least one of the two?
  18. 18.In a group of 30 children, 18 sing Hindi songs, 17 sing English songs and 6 sing both. How many sing exactly one of the two?
  19. 19.In a group of 33 children, 23 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing only Hindi songs?
  20. 20.In a group of 41 grown-ups, 12 drink tea, 21 drink coffee and 7 drink both. How many drink neither of the two?
  21. 21.In a group of 27 children, 12 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing neither of the two?
  22. 22.In a group of 42 children, 20 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 45 children, 22 play chess, 20 play carrom and 12 play both. How many play only carrom?
  24. 24.In a group of 40 grown-ups, 15 drink tea, 25 drink coffee and 5 drink both. How many drink exactly one of the two?
  25. 25.In a group of 50 children, 19 play chess, 28 play carrom and 10 play both. How many play only carrom?
  26. 26.In a group of 22 grown-ups, 14 drink tea, 15 drink coffee and 8 drink both. How many drink exactly one of the two?
  27. 27.In a group of 34 children, 15 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 40 grown-ups, 17 drink tea, 26 drink coffee and 6 drink both. How many drink exactly one of the two?
  29. 29.In a group of 51 children, 25 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 30 children, 14 sing Hindi songs, 22 sing English songs and 8 sing both. How many sing exactly one of the two?
  31. 31.In a group of 38 children, 23 play cricket, 20 play football and 12 play both. How many play neither of the two?
  32. 32.In a group of 32 grown-ups, 16 drink tea, 6 drink coffee and 2 drink both. How many drink at least one of the two?
  33. 33.In a group of 38 children, 21 sing Hindi songs, 18 sing English songs and 6 sing both. How many sing exactly one of the two?
  34. 34.In a group of 38 children, 16 play cricket, 28 play football and 9 play both. How many play neither of the two?
  35. 35.In a group of 30 children, 12 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 20 grown-ups, 10 drink tea, 11 drink coffee and 5 drink both. How many drink neither of the two?
  37. 37.In a group of 50 grown-ups, 17 drink tea, 30 drink coffee and 11 drink both. How many drink exactly one of the two?
  38. 38.In a group of 40 children, 27 sing Hindi songs, 19 sing English songs and 10 sing both. How many sing neither of the two?
  39. 39.In a group of 37 children, 26 sing Hindi songs, 20 sing English songs and 11 sing both. How many sing only English songs?
  40. 40.In a group of 36 children, 12 enjoy drawing, 26 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?

Answer key

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

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