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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 411 · 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 30 grown-ups, 20 drink tea, 18 drink coffee and 11 drink both. How many drink only tea?
  2. 2.In a group of 25 children, 16 play cricket, 5 play football and 2 play both. How many play at least one of the two?
  3. 3.In a group of 23 children, 12 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 47 grown-ups, 27 drink tea, 24 drink coffee and 11 drink both. How many drink exactly one of the two?
  5. 5.In a group of 40 children, 17 sing Hindi songs, 23 sing English songs and 6 sing both. How many sing only English songs?
  6. 6.In a group of 31 children, 19 play cricket, 21 play football and 12 play both. How many play at least one of the two?
  7. 7.In a group of 28 children, 13 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 34 grown-ups, 29 drink tea, 16 drink coffee and 12 drink both. How many drink exactly one of the two?
  9. 9.In a group of 21 children, 11 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  10. 10.In a group of 37 grown-ups, 12 drink tea, 14 drink coffee and 4 drink both. How many drink only tea?
  11. 11.In a group of 42 children, 19 play cricket, 19 play football and 10 play both. How many play neither of the two?
  12. 12.In a group of 38 grown-ups, 24 drink tea, 8 drink coffee and 5 drink both. How many drink at least one of the two?
  13. 13.In a group of 44 grown-ups, 23 drink tea, 23 drink coffee and 5 drink both. How many drink only tea?
  14. 14.In a group of 47 children, 18 like mangoes, 25 like bananas and 7 like both. How many like at least one of the two?
  15. 15.In a group of 33 children, 14 play chess, 15 play carrom and 3 play both. How many play only chess?
  16. 16.In a group of 36 children, 11 play cricket, 18 play football and 2 play both. How many play exactly one of the two?
  17. 17.In a group of 39 grown-ups, 15 drink tea, 21 drink coffee and 8 drink both. How many drink neither of the two?
  18. 18.In a group of 32 grown-ups, 15 drink tea, 14 drink coffee and 6 drink both. How many drink only tea?
  19. 19.In a group of 48 grown-ups, 25 drink tea, 26 drink coffee and 7 drink both. How many drink only tea?
  20. 20.In a group of 21 children, 14 play chess, 14 play carrom and 10 play both. How many play only carrom?
  21. 21.In a group of 43 children, 23 play cricket, 13 play football and 6 play both. How many play only cricket?
  22. 22.In a group of 46 children, 19 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 49 grown-ups, 32 drink tea, 17 drink coffee and 12 drink both. How many drink exactly one of the two?
  24. 24.In a group of 27 children, 10 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  25. 25.In a group of 50 children, 31 play cricket, 27 play football and 11 play both. How many play only football?
  26. 26.In a group of 32 grown-ups, 19 drink tea, 5 drink coffee and 2 drink both. How many drink only coffee?
  27. 27.In a group of 44 children, 24 play chess, 13 play carrom and 8 play both. How many play only chess?
  28. 28.In a group of 55 grown-ups, 28 drink tea, 32 drink coffee and 12 drink both. How many drink only coffee?
  29. 29.In a group of 21 children, 11 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing exactly one of the two?
  30. 30.In a group of 34 children, 18 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 46 children, 30 like mangoes, 22 like bananas and 11 like both. How many like neither of the two?
  32. 32.In a group of 41 children, 24 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing neither of the two?
  33. 33.In a group of 36 children, 27 play cricket, 14 play football and 11 play both. How many play at least one of the two?
  34. 34.In a group of 45 grown-ups, 18 drink tea, 20 drink coffee and 5 drink both. How many drink only tea?
  35. 35.In a group of 54 children, 22 like mangoes, 28 like bananas and 10 like both. How many like only bananas?
  36. 36.In a group of 33 children, 12 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  37. 37.In a group of 52 grown-ups, 26 drink tea, 26 drink coffee and 12 drink both. How many drink only coffee?
  38. 38.In a group of 59 children, 28 play chess, 27 play carrom and 8 play both. How many play only carrom?
  39. 39.In a group of 44 children, 20 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 32 children, 14 play cricket, 24 play football and 11 play both. How many play at least one of the two?

Answer key

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

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