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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 237 · 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 children, 23 enjoy drawing, 13 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  2. 2.In a group of 48 children, 21 play chess, 22 play carrom and 4 play both. How many play at least one of the two?
  3. 3.In a group of 30 children, 15 enjoy drawing, 17 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 32 children, 16 play cricket, 17 play football and 2 play both. How many play at least one of the two?
  5. 5.In a group of 37 children, 25 like mangoes, 12 like bananas and 8 like both. How many like only bananas?
  6. 6.In a group of 24 children, 17 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 36 children, 20 sing Hindi songs, 13 sing English songs and 4 sing both. How many sing neither of the two?
  8. 8.In a group of 45 children, 23 play chess, 21 play carrom and 4 play both. How many play only chess?
  9. 9.In a group of 40 children, 14 like mangoes, 20 like bananas and 5 like both. How many like only bananas?
  10. 10.In a group of 35 children, 12 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 60 grown-ups, 31 drink tea, 25 drink coffee and 11 drink both. How many drink neither of the two?
  12. 12.In a group of 41 children, 7 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 32 children, 17 like mangoes, 18 like bananas and 6 like both. How many like only bananas?
  14. 14.In a group of 21 children, 13 play chess, 16 play carrom and 10 play both. How many play neither of the two?
  15. 15.In a group of 36 children, 18 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing neither of the two?
  16. 16.In a group of 32 children, 17 like mangoes, 20 like bananas and 10 like both. How many like at least one of the two?
  17. 17.In a group of 31 children, 10 play cricket, 16 play football and 3 play both. How many play at least one of the two?
  18. 18.In a group of 50 children, 30 play cricket, 19 play football and 11 play both. How many play exactly one of the two?
  19. 19.In a group of 47 children, 19 play cricket, 20 play football and 2 play both. How many play only football?
  20. 20.In a group of 37 grown-ups, 22 drink tea, 24 drink coffee and 10 drink both. How many drink exactly one of the two?
  21. 21.In a group of 34 children, 19 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 32 children, 19 play cricket, 14 play football and 8 play both. How many play only football?
  23. 23.In a group of 32 children, 14 like mangoes, 23 like bananas and 6 like both. How many like only bananas?
  24. 24.In a group of 52 children, 29 like mangoes, 29 like bananas and 11 like both. How many like only mangoes?
  25. 25.In a group of 24 children, 11 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing neither of the two?
  26. 26.In a group of 50 children, 20 sing Hindi songs, 26 sing English songs and 10 sing both. How many sing neither of the two?
  27. 27.In a group of 29 children, 7 play chess, 20 play carrom and 3 play both. How many play exactly one of the two?
  28. 28.In a group of 25 children, 15 play chess, 16 play carrom and 9 play both. How many play neither of the two?
  29. 29.In a group of 43 grown-ups, 30 drink tea, 14 drink coffee and 10 drink both. How many drink neither of the two?
  30. 30.In a group of 41 children, 18 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing neither of the two?
  31. 31.In a group of 38 children, 7 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing exactly one of the two?
  32. 32.In a group of 49 grown-ups, 26 drink tea, 31 drink coffee and 11 drink both. How many drink at least one of the two?
  33. 33.In a group of 26 grown-ups, 17 drink tea, 11 drink coffee and 6 drink both. How many drink neither of the two?
  34. 34.In a group of 40 children, 18 play chess, 14 play carrom and 2 play both. How many play only chess?
  35. 35.In a group of 40 children, 20 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing only Hindi songs?
  36. 36.In a group of 41 grown-ups, 23 drink tea, 15 drink coffee and 7 drink both. How many drink only coffee?
  37. 37.In a group of 37 children, 25 enjoy drawing, 13 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 56 children, 29 play chess, 30 play carrom and 12 play both. How many play neither of the two?
  39. 39.In a group of 42 children, 21 enjoy drawing, 18 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 48 grown-ups, 23 drink tea, 14 drink coffee and 3 drink both. How many drink exactly one of the two?

Answer key

  1. 7
  2. 39
  3. 8
  4. 31
  5. 4
  6. 14
  7. 7
  8. 19
  9. 15
  10. 9
  11. 15
  12. 26
  13. 12
  14. 2
  15. 10
  16. 27
  17. 23
  18. 27
  19. 18
  20. 26
  21. 8
  22. 6
  23. 17
  24. 18
  25. 4
  26. 14
  27. 21
  28. 3
  29. 9
  30. 13
  31. 19
  32. 46
  33. 4
  34. 16
  35. 17
  36. 8
  37. 32
  38. 9
  39. 13
  40. 31

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