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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 304 · 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 35 children, 10 play chess, 25 play carrom and 6 play both. How many play at least one of the two?
  2. 2.In a group of 53 grown-ups, 21 drink tea, 32 drink coffee and 12 drink both. How many drink at least one of the two?
  3. 3.In a group of 35 children, 24 like mangoes, 12 like bananas and 6 like both. How many like exactly one of the two?
  4. 4.In a group of 42 children, 22 play chess, 29 play carrom and 10 play both. How many play at least one of the two?
  5. 5.In a group of 51 children, 28 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing exactly one of the two?
  6. 6.In a group of 46 children, 16 play cricket, 27 play football and 11 play both. How many play neither of the two?
  7. 7.In a group of 32 children, 14 like mangoes, 24 like bananas and 10 like both. How many like neither of the two?
  8. 8.In a group of 47 children, 31 play cricket, 19 play football and 12 play both. How many play at least one of the two?
  9. 9.In a group of 41 children, 13 enjoy drawing, 25 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 32 children, 18 play chess, 11 play carrom and 2 play both. How many play only chess?
  11. 11.In a group of 42 children, 15 play chess, 27 play carrom and 7 play both. How many play only chess?
  12. 12.In a group of 35 grown-ups, 18 drink tea, 13 drink coffee and 7 drink both. How many drink exactly one of the two?
  13. 13.In a group of 43 children, 25 enjoy drawing, 19 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 27 children, 9 play chess, 16 play carrom and 4 play both. How many play only chess?
  15. 15.In a group of 32 children, 12 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 28 children, 12 play cricket, 14 play football and 2 play both. How many play only football?
  17. 17.In a group of 38 children, 19 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing neither of the two?
  18. 18.In a group of 39 children, 28 play cricket, 19 play football and 9 play both. How many play at least one of the two?
  19. 19.In a group of 49 children, 26 play chess, 30 play carrom and 12 play both. How many play only chess?
  20. 20.In a group of 52 grown-ups, 28 drink tea, 29 drink coffee and 10 drink both. How many drink only coffee?
  21. 21.In a group of 39 children, 23 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 30 grown-ups, 9 drink tea, 23 drink coffee and 6 drink both. How many drink only coffee?
  23. 23.In a group of 45 children, 15 play cricket, 26 play football and 8 play both. How many play exactly one of the two?
  24. 24.In a group of 25 children, 7 sing Hindi songs, 5 sing English songs and 2 sing both. How many sing neither of the two?
  25. 25.In a group of 39 grown-ups, 16 drink tea, 15 drink coffee and 7 drink both. How many drink only tea?
  26. 26.In a group of 51 children, 30 play cricket, 25 play football and 12 play both. How many play only football?
  27. 27.In a group of 45 grown-ups, 12 drink tea, 27 drink coffee and 9 drink both. How many drink only coffee?
  28. 28.In a group of 37 children, 21 enjoy drawing, 12 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 55 children, 25 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  30. 30.In a group of 41 children, 26 play cricket, 15 play football and 8 play both. How many play at least one of the two?
  31. 31.In a group of 35 children, 18 enjoy drawing, 14 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 48 grown-ups, 27 drink tea, 16 drink coffee and 8 drink both. How many drink at least one of the two?
  33. 33.In a group of 30 children, 17 like mangoes, 12 like bananas and 6 like both. How many like only mangoes?
  34. 34.In a group of 25 children, 6 play chess, 12 play carrom and 3 play both. How many play exactly one of the two?
  35. 35.In a group of 44 children, 18 play chess, 20 play carrom and 2 play both. How many play at least one of the two?
  36. 36.In a group of 25 children, 11 like mangoes, 7 like bananas and 3 like both. How many like only bananas?
  37. 37.In a group of 37 children, 24 play chess, 13 play carrom and 7 play both. How many play exactly one of the two?
  38. 38.In a group of 46 grown-ups, 21 drink tea, 26 drink coffee and 7 drink both. How many drink only coffee?
  39. 39.In a group of 25 children, 9 play chess, 15 play carrom and 2 play both. How many play exactly one of the two?
  40. 40.In a group of 25 children, 16 like mangoes, 13 like bananas and 5 like both. How many like only bananas?

Answer key

  1. 29
  2. 41
  3. 24
  4. 41
  5. 37
  6. 14
  7. 4
  8. 38
  9. 26
  10. 16
  11. 8
  12. 17
  13. 9
  14. 5
  15. 13
  16. 12
  17. 13
  18. 38
  19. 14
  20. 19
  21. 28
  22. 17
  23. 25
  24. 15
  25. 9
  26. 13
  27. 18
  28. 10
  29. 12
  30. 33
  31. 12
  32. 35
  33. 11
  34. 12
  35. 36
  36. 4
  37. 23
  38. 19
  39. 20
  40. 8

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