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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 638 · 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 19 children, 6 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  2. 2.In a group of 32 children, 15 like mangoes, 18 like bananas and 10 like both. How many like neither of the two?
  3. 3.In a group of 35 children, 14 like mangoes, 17 like bananas and 8 like both. How many like at least one of the two?
  4. 4.In a group of 47 children, 26 like mangoes, 31 like bananas and 11 like both. How many like only bananas?
  5. 5.In a group of 41 children, 23 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 37 children, 16 like mangoes, 25 like bananas and 10 like both. How many like only mangoes?
  7. 7.In a group of 43 children, 23 like mangoes, 18 like bananas and 10 like both. How many like only bananas?
  8. 8.In a group of 35 children, 22 play cricket, 5 play football and 2 play both. How many play at least one of the two?
  9. 9.In a group of 54 children, 26 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 40 children, 23 play cricket, 13 play football and 3 play both. How many play only football?
  11. 11.In a group of 26 children, 9 like mangoes, 11 like bananas and 4 like both. How many like neither of the two?
  12. 12.In a group of 46 children, 24 like mangoes, 14 like bananas and 4 like both. How many like at least one of the two?
  13. 13.In a group of 41 children, 16 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 32 children, 9 play chess, 19 play carrom and 6 play both. How many play only carrom?
  15. 15.In a group of 39 children, 22 play cricket, 6 play football and 3 play both. How many play only football?
  16. 16.In a group of 22 grown-ups, 7 drink tea, 8 drink coffee and 2 drink both. How many drink at least one of the two?
  17. 17.In a group of 38 children, 19 like mangoes, 27 like bananas and 11 like both. How many like only mangoes?
  18. 18.In a group of 26 grown-ups, 18 drink tea, 10 drink coffee and 7 drink both. How many drink only tea?
  19. 19.In a group of 35 children, 10 play cricket, 20 play football and 4 play both. How many play at least one of the two?
  20. 20.In a group of 40 children, 13 sing Hindi songs, 28 sing English songs and 8 sing both. How many sing neither of the two?
  21. 21.In a group of 41 children, 13 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 21 children, 8 like mangoes, 13 like bananas and 2 like both. How many like only bananas?
  23. 23.In a group of 24 children, 11 play chess, 7 play carrom and 3 play both. How many play exactly one of the two?
  24. 24.In a group of 41 children, 16 play cricket, 20 play football and 4 play both. How many play only football?
  25. 25.In a group of 39 grown-ups, 22 drink tea, 10 drink coffee and 6 drink both. How many drink only coffee?
  26. 26.In a group of 31 children, 8 play cricket, 19 play football and 3 play both. How many play exactly one of the two?
  27. 27.In a group of 37 children, 7 like mangoes, 23 like bananas and 3 like both. How many like only bananas?
  28. 28.In a group of 20 children, 11 play chess, 14 play carrom and 8 play both. How many play at least one of the two?
  29. 29.In a group of 42 children, 17 like mangoes, 23 like bananas and 7 like both. How many like only bananas?
  30. 30.In a group of 39 children, 23 like mangoes, 22 like bananas and 9 like both. How many like only bananas?
  31. 31.In a group of 32 children, 13 like mangoes, 18 like bananas and 9 like both. How many like neither of the two?
  32. 32.In a group of 46 children, 21 play cricket, 19 play football and 2 play both. How many play only football?
  33. 33.In a group of 32 children, 10 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing exactly one of the two?
  34. 34.In a group of 19 grown-ups, 9 drink tea, 6 drink coffee and 3 drink both. How many drink only coffee?
  35. 35.In a group of 43 children, 16 enjoy drawing, 23 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 27 grown-ups, 15 drink tea, 20 drink coffee and 9 drink both. How many drink at least one of the two?
  37. 37.In a group of 43 children, 24 enjoy drawing, 26 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 54 grown-ups, 24 drink tea, 24 drink coffee and 6 drink both. How many drink neither of the two?
  39. 39.In a group of 28 children, 11 play chess, 11 play carrom and 4 play both. How many play exactly one of the two?
  40. 40.In a group of 42 children, 30 play chess, 19 play carrom and 11 play both. How many play neither of the two?

Answer key

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

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