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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 8 · 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 31 children, 6 play cricket, 22 play football and 3 play both. How many play neither of the two?
  2. 2.In a group of 42 children, 29 like mangoes, 23 like bananas and 11 like both. How many like exactly one of the two?
  3. 3.In a group of 41 grown-ups, 16 drink tea, 18 drink coffee and 5 drink both. How many drink only coffee?
  4. 4.In a group of 44 children, 20 play cricket, 28 play football and 8 play both. How many play at least one of the two?
  5. 5.In a group of 41 children, 14 sing Hindi songs, 25 sing English songs and 8 sing both. How many sing neither of the two?
  6. 6.In a group of 44 children, 28 play chess, 19 play carrom and 8 play both. How many play only carrom?
  7. 7.In a group of 25 grown-ups, 12 drink tea, 10 drink coffee and 7 drink both. How many drink neither of the two?
  8. 8.In a group of 39 grown-ups, 18 drink tea, 23 drink coffee and 4 drink both. How many drink only coffee?
  9. 9.In a group of 38 children, 19 play chess, 17 play carrom and 7 play both. How many play only carrom?
  10. 10.In a group of 40 children, 29 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 30 children, 15 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 34 children, 27 like mangoes, 16 like bananas and 11 like both. How many like only bananas?
  13. 13.In a group of 44 children, 22 enjoy drawing, 29 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 57 children, 24 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  15. 15.In a group of 49 children, 25 play chess, 23 play carrom and 8 play both. How many play only chess?
  16. 16.In a group of 46 children, 22 sing Hindi songs, 15 sing English songs and 4 sing both. How many sing neither of the two?
  17. 17.In a group of 31 children, 13 play cricket, 19 play football and 5 play both. How many play at least one of the two?
  18. 18.In a group of 50 children, 16 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  19. 19.In a group of 38 children, 25 play chess, 19 play carrom and 12 play both. How many play exactly one of the two?
  20. 20.In a group of 53 grown-ups, 25 drink tea, 24 drink coffee and 10 drink both. How many drink at least one of the two?
  21. 21.In a group of 42 grown-ups, 14 drink tea, 19 drink coffee and 2 drink both. How many drink exactly one of the two?
  22. 22.In a group of 49 children, 21 play chess, 16 play carrom and 3 play both. How many play exactly one of the two?
  23. 23.In a group of 38 grown-ups, 20 drink tea, 20 drink coffee and 3 drink both. How many drink only coffee?
  24. 24.In a group of 36 grown-ups, 24 drink tea, 16 drink coffee and 12 drink both. How many drink at least one of the two?
  25. 25.In a group of 36 grown-ups, 13 drink tea, 21 drink coffee and 3 drink both. How many drink at least one of the two?
  26. 26.In a group of 33 children, 10 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 48 children, 19 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 34 children, 5 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 47 children, 27 play cricket, 24 play football and 8 play both. How many play only cricket?
  30. 30.In a group of 54 children, 23 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing at least one of the two?
  31. 31.In a group of 31 children, 17 play cricket, 11 play football and 5 play both. How many play only football?
  32. 32.In a group of 40 children, 18 sing Hindi songs, 19 sing English songs and 10 sing both. How many sing at least one of the two?
  33. 33.In a group of 49 grown-ups, 16 drink tea, 25 drink coffee and 5 drink both. How many drink only coffee?
  34. 34.In a group of 31 children, 11 play chess, 10 play carrom and 3 play both. How many play neither of the two?
  35. 35.In a group of 33 children, 11 play chess, 23 play carrom and 4 play both. How many play exactly one of the two?
  36. 36.In a group of 27 grown-ups, 11 drink tea, 12 drink coffee and 8 drink both. How many drink only coffee?
  37. 37.In a group of 50 children, 27 enjoy drawing, 21 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 19 children, 7 play chess, 9 play carrom and 4 play both. How many play at least one of the two?
  39. 39.In a group of 48 children, 20 play cricket, 20 play football and 7 play both. How many play exactly one of the two?
  40. 40.In a group of 36 children, 16 enjoy drawing, 26 enjoy dancing and 10 enjoy both. How many enjoy only dancing?

Answer key

  1. 6
  2. 30
  3. 13
  4. 40
  5. 10
  6. 11
  7. 10
  8. 19
  9. 10
  10. 20
  11. 10
  12. 5
  13. 17
  14. 43
  15. 17
  16. 13
  17. 27
  18. 19
  19. 20
  20. 39
  21. 29
  22. 31
  23. 17
  24. 28
  25. 31
  26. 10
  27. 17
  28. 16
  29. 19
  30. 39
  31. 6
  32. 27
  33. 20
  34. 13
  35. 26
  36. 4
  37. 16
  38. 12
  39. 26
  40. 16

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