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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 84 · 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 49 grown-ups, 20 drink tea, 24 drink coffee and 4 drink both. How many drink neither of the two?
  2. 2.In a group of 25 grown-ups, 17 drink tea, 16 drink coffee and 9 drink both. How many drink neither of the two?
  3. 3.In a group of 27 children, 12 play cricket, 14 play football and 7 play both. How many play neither of the two?
  4. 4.In a group of 29 children, 14 play cricket, 15 play football and 4 play both. How many play only football?
  5. 5.In a group of 46 children, 25 like mangoes, 30 like bananas and 12 like both. How many like only bananas?
  6. 6.In a group of 43 children, 14 play cricket, 30 play football and 10 play both. How many play exactly one of the two?
  7. 7.In a group of 48 children, 26 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 31 children, 17 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  9. 9.In a group of 31 children, 14 play chess, 20 play carrom and 10 play both. How many play only carrom?
  10. 10.In a group of 26 children, 14 play cricket, 9 play football and 5 play both. How many play neither of the two?
  11. 11.In a group of 48 grown-ups, 24 drink tea, 27 drink coffee and 7 drink both. How many drink at least one of the two?
  12. 12.In a group of 40 children, 17 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 27 children, 11 like mangoes, 15 like bananas and 7 like both. How many like only bananas?
  14. 14.In a group of 22 children, 9 play cricket, 9 play football and 2 play both. How many play exactly one of the two?
  15. 15.In a group of 47 grown-ups, 23 drink tea, 21 drink coffee and 3 drink both. How many drink exactly one of the two?
  16. 16.In a group of 21 children, 11 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing neither of the two?
  17. 17.In a group of 39 grown-ups, 21 drink tea, 14 drink coffee and 3 drink both. How many drink neither of the two?
  18. 18.In a group of 41 children, 22 like mangoes, 20 like bananas and 5 like both. How many like at least one of the two?
  19. 19.In a group of 46 children, 27 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 47 children, 21 play chess, 23 play carrom and 3 play both. How many play neither of the two?
  21. 21.In a group of 35 children, 16 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 56 children, 25 sing Hindi songs, 22 sing English songs and 5 sing both. How many sing neither of the two?
  23. 23.In a group of 20 children, 6 play chess, 8 play carrom and 2 play both. How many play at least one of the two?
  24. 24.In a group of 31 children, 15 sing Hindi songs, 23 sing English songs and 9 sing both. How many sing exactly one of the two?
  25. 25.In a group of 22 children, 14 like mangoes, 12 like bananas and 6 like both. How many like only mangoes?
  26. 26.In a group of 44 children, 28 play cricket, 12 play football and 8 play both. How many play exactly one of the two?
  27. 27.In a group of 50 children, 28 play chess, 26 play carrom and 10 play both. How many play exactly one of the two?
  28. 28.In a group of 21 children, 16 play cricket, 16 play football and 12 play both. How many play at least one of the two?
  29. 29.In a group of 37 children, 13 play chess, 14 play carrom and 2 play both. How many play at least one of the two?
  30. 30.In a group of 38 grown-ups, 18 drink tea, 13 drink coffee and 2 drink both. How many drink neither of the two?
  31. 31.In a group of 27 children, 10 like mangoes, 21 like bananas and 7 like both. How many like exactly one of the two?
  32. 32.In a group of 49 children, 30 play chess, 23 play carrom and 12 play both. How many play only carrom?
  33. 33.In a group of 47 children, 16 play cricket, 28 play football and 8 play both. How many play only football?
  34. 34.In a group of 21 children, 6 play cricket, 10 play football and 2 play both. How many play only football?
  35. 35.In a group of 40 children, 19 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing exactly one of the two?
  36. 36.In a group of 15 children, 6 play cricket, 9 play football and 3 play both. How many play only football?
  37. 37.In a group of 42 grown-ups, 26 drink tea, 24 drink coffee and 12 drink both. How many drink only tea?
  38. 38.In a group of 42 children, 27 like mangoes, 18 like bananas and 12 like both. How many like only mangoes?
  39. 39.In a group of 48 grown-ups, 17 drink tea, 19 drink coffee and 2 drink both. How many drink exactly one of the two?
  40. 40.In a group of 30 children, 7 like mangoes, 18 like bananas and 2 like both. How many like only mangoes?

Answer key

  1. 9
  2. 1
  3. 8
  4. 11
  5. 18
  6. 24
  7. 35
  8. 5
  9. 10
  10. 8
  11. 44
  12. 8
  13. 8
  14. 14
  15. 38
  16. 7
  17. 7
  18. 37
  19. 37
  20. 6
  21. 4
  22. 14
  23. 12
  24. 20
  25. 8
  26. 24
  27. 34
  28. 20
  29. 25
  30. 9
  31. 17
  32. 11
  33. 20
  34. 8
  35. 28
  36. 6
  37. 14
  38. 15
  39. 32
  40. 5

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