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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 63 · 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 32 children, 23 enjoy drawing, 14 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  2. 2.In a group of 46 grown-ups, 23 drink tea, 26 drink coffee and 10 drink both. How many drink only tea?
  3. 3.In a group of 41 children, 25 play chess, 26 play carrom and 11 play both. How many play only chess?
  4. 4.In a group of 35 children, 16 enjoy drawing, 13 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 44 grown-ups, 28 drink tea, 11 drink coffee and 8 drink both. How many drink at least one of the two?
  6. 6.In a group of 51 children, 22 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  7. 7.In a group of 32 grown-ups, 10 drink tea, 14 drink coffee and 4 drink both. How many drink only coffee?
  8. 8.In a group of 31 grown-ups, 22 drink tea, 11 drink coffee and 5 drink both. How many drink only tea?
  9. 9.In a group of 35 children, 14 play cricket, 24 play football and 8 play both. How many play only cricket?
  10. 10.In a group of 32 children, 14 play chess, 18 play carrom and 7 play both. How many play at least one of the two?
  11. 11.In a group of 24 children, 14 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing neither of the two?
  12. 12.In a group of 18 children, 13 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 36 children, 13 sing Hindi songs, 17 sing English songs and 4 sing both. How many sing neither of the two?
  14. 14.In a group of 40 children, 24 play chess, 22 play carrom and 7 play both. How many play only chess?
  15. 15.In a group of 36 children, 27 sing Hindi songs, 19 sing English songs and 11 sing both. How many sing only Hindi songs?
  16. 16.In a group of 38 grown-ups, 21 drink tea, 20 drink coffee and 5 drink both. How many drink neither of the two?
  17. 17.In a group of 38 children, 20 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 30 children, 13 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 37 children, 22 play cricket, 17 play football and 3 play both. How many play at least one of the two?
  20. 20.In a group of 32 children, 16 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing only Hindi songs?
  21. 21.In a group of 35 children, 17 play chess, 23 play carrom and 10 play both. How many play exactly one of the two?
  22. 22.In a group of 49 children, 28 play cricket, 27 play football and 9 play both. How many play only cricket?
  23. 23.In a group of 43 children, 10 play chess, 24 play carrom and 4 play both. How many play exactly one of the two?
  24. 24.In a group of 31 children, 9 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  25. 25.In a group of 25 children, 8 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  26. 26.In a group of 31 children, 15 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing neither of the two?
  27. 27.In a group of 29 children, 16 play cricket, 12 play football and 3 play both. How many play neither of the two?
  28. 28.In a group of 36 grown-ups, 15 drink tea, 17 drink coffee and 11 drink both. How many drink exactly one of the two?
  29. 29.In a group of 38 children, 16 play cricket, 17 play football and 3 play both. How many play only cricket?
  30. 30.In a group of 35 children, 13 play chess, 23 play carrom and 10 play both. How many play only carrom?
  31. 31.In a group of 43 children, 13 play chess, 26 play carrom and 10 play both. How many play at least one of the two?
  32. 32.In a group of 40 children, 13 enjoy drawing, 28 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 52 children, 29 sing Hindi songs, 29 sing English songs and 9 sing both. How many sing only Hindi songs?
  34. 34.In a group of 39 children, 21 play cricket, 11 play football and 5 play both. How many play only cricket?
  35. 35.In a group of 38 children, 20 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  36. 36.In a group of 28 children, 17 play cricket, 8 play football and 3 play both. How many play exactly one of the two?
  37. 37.In a group of 38 children, 19 play cricket, 23 play football and 7 play both. How many play at least one of the two?
  38. 38.In a group of 29 children, 16 like mangoes, 16 like bananas and 11 like both. How many like at least one of the two?
  39. 39.In a group of 42 grown-ups, 28 drink tea, 23 drink coffee and 12 drink both. How many drink only coffee?
  40. 40.In a group of 37 children, 9 play chess, 23 play carrom and 3 play both. How many play at least one of the two?

Answer key

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

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