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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 23 · 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 41 children, 17 play cricket, 15 play football and 6 play both. How many play only cricket?
  2. 2.In a group of 38 children, 21 like mangoes, 11 like bananas and 4 like both. How many like only bananas?
  3. 3.In a group of 28 children, 20 play cricket, 16 play football and 11 play both. How many play at least one of the two?
  4. 4.In a group of 18 children, 14 play chess, 8 play carrom and 5 play both. How many play only carrom?
  5. 5.In a group of 40 children, 9 enjoy drawing, 26 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  6. 6.In a group of 23 children, 10 enjoy drawing, 13 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 41 children, 18 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 43 children, 26 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 36 children, 13 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing only Hindi songs?
  10. 10.In a group of 26 children, 10 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 32 children, 17 play cricket, 13 play football and 6 play both. How many play neither of the two?
  12. 12.In a group of 47 children, 17 like mangoes, 21 like bananas and 4 like both. How many like exactly one of the two?
  13. 13.In a group of 30 children, 8 sing Hindi songs, 20 sing English songs and 3 sing both. How many sing at least one of the two?
  14. 14.In a group of 42 children, 15 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 41 children, 20 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 27 children, 15 like mangoes, 10 like bananas and 3 like both. How many like only bananas?
  17. 17.In a group of 47 children, 20 play cricket, 28 play football and 12 play both. How many play only football?
  18. 18.In a group of 51 children, 26 like mangoes, 25 like bananas and 6 like both. How many like at least one of the two?
  19. 19.In a group of 31 children, 13 play cricket, 12 play football and 6 play both. How many play at least one of the two?
  20. 20.In a group of 43 children, 12 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  21. 21.In a group of 27 children, 15 play cricket, 22 play football and 12 play both. How many play only cricket?
  22. 22.In a group of 49 grown-ups, 31 drink tea, 18 drink coffee and 12 drink both. How many drink only tea?
  23. 23.In a group of 37 children, 20 play cricket, 8 play football and 4 play both. How many play exactly one of the two?
  24. 24.In a group of 40 grown-ups, 17 drink tea, 24 drink coffee and 9 drink both. How many drink only tea?
  25. 25.In a group of 22 children, 12 play cricket, 15 play football and 7 play both. How many play only football?
  26. 26.In a group of 27 grown-ups, 12 drink tea, 14 drink coffee and 8 drink both. How many drink only coffee?
  27. 27.In a group of 23 children, 11 play chess, 14 play carrom and 6 play both. How many play exactly one of the two?
  28. 28.In a group of 32 children, 18 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 32 children, 13 play chess, 19 play carrom and 8 play both. How many play neither of the two?
  30. 30.In a group of 59 children, 26 play cricket, 29 play football and 10 play both. How many play at least one of the two?
  31. 31.In a group of 60 children, 31 like mangoes, 25 like bananas and 11 like both. How many like only mangoes?
  32. 32.In a group of 41 children, 23 play cricket, 23 play football and 7 play both. How many play exactly one of the two?
  33. 33.In a group of 46 children, 15 enjoy drawing, 31 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 47 grown-ups, 12 drink tea, 25 drink coffee and 5 drink both. How many drink exactly one of the two?
  35. 35.In a group of 40 children, 17 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 26 children, 19 enjoy drawing, 15 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 29 grown-ups, 8 drink tea, 23 drink coffee and 3 drink both. How many drink exactly one of the two?
  38. 38.In a group of 39 children, 20 play cricket, 17 play football and 4 play both. How many play exactly one of the two?
  39. 39.In a group of 27 children, 18 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 47 grown-ups, 30 drink tea, 19 drink coffee and 11 drink both. How many drink at least one of the two?

Answer key

  1. 11
  2. 7
  3. 25
  4. 3
  5. 11
  6. 11
  7. 20
  8. 33
  9. 6
  10. 4
  11. 8
  12. 30
  13. 25
  14. 26
  15. 4
  16. 7
  17. 16
  18. 45
  19. 19
  20. 30
  21. 3
  22. 19
  23. 20
  24. 8
  25. 8
  26. 6
  27. 13
  28. 9
  29. 8
  30. 45
  31. 20
  32. 32
  33. 20
  34. 27
  35. 26
  36. 12
  37. 25
  38. 29
  39. 24
  40. 38

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