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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 291 · 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 36 children, 10 play cricket, 20 play football and 6 play both. How many play exactly one of the two?
  2. 2.In a group of 28 children, 10 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 19 children, 9 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 47 grown-ups, 13 drink tea, 24 drink coffee and 4 drink both. How many drink only coffee?
  5. 5.In a group of 40 children, 21 play chess, 18 play carrom and 7 play both. How many play only carrom?
  6. 6.In a group of 18 children, 10 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing only Hindi songs?
  7. 7.In a group of 37 children, 7 play cricket, 19 play football and 2 play both. How many play only cricket?
  8. 8.In a group of 19 grown-ups, 6 drink tea, 5 drink coffee and 2 drink both. How many drink neither of the two?
  9. 9.In a group of 46 children, 24 play cricket, 26 play football and 10 play both. How many play neither of the two?
  10. 10.In a group of 37 children, 17 play cricket, 10 play football and 3 play both. How many play neither of the two?
  11. 11.In a group of 36 children, 26 like mangoes, 14 like bananas and 8 like both. How many like at least one of the two?
  12. 12.In a group of 40 children, 22 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing neither of the two?
  13. 13.In a group of 48 children, 18 play cricket, 20 play football and 4 play both. How many play exactly one of the two?
  14. 14.In a group of 32 grown-ups, 18 drink tea, 13 drink coffee and 2 drink both. How many drink only coffee?
  15. 15.In a group of 36 children, 15 play cricket, 13 play football and 2 play both. How many play exactly one of the two?
  16. 16.In a group of 25 children, 9 play cricket, 11 play football and 6 play both. How many play neither of the two?
  17. 17.In a group of 36 children, 15 play cricket, 25 play football and 7 play both. How many play only cricket?
  18. 18.In a group of 32 children, 20 like mangoes, 17 like bananas and 6 like both. How many like at least one of the two?
  19. 19.In a group of 17 children, 12 like mangoes, 12 like bananas and 8 like both. How many like exactly one of the two?
  20. 20.In a group of 22 grown-ups, 14 drink tea, 7 drink coffee and 3 drink both. How many drink only coffee?
  21. 21.In a group of 53 children, 18 play chess, 26 play carrom and 6 play both. How many play exactly one of the two?
  22. 22.In a group of 35 children, 28 enjoy drawing, 16 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 33 grown-ups, 26 drink tea, 13 drink coffee and 9 drink both. How many drink at least one of the two?
  24. 24.In a group of 22 children, 14 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing only Hindi songs?
  25. 25.In a group of 45 children, 27 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  26. 26.In a group of 27 children, 11 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  27. 27.In a group of 33 children, 19 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  28. 28.In a group of 37 children, 10 like mangoes, 18 like bananas and 4 like both. How many like neither of the two?
  29. 29.In a group of 36 grown-ups, 19 drink tea, 22 drink coffee and 7 drink both. How many drink only coffee?
  30. 30.In a group of 41 children, 23 play cricket, 24 play football and 7 play both. How many play exactly one of the two?
  31. 31.In a group of 24 children, 15 play chess, 8 play carrom and 2 play both. How many play only carrom?
  32. 32.In a group of 47 grown-ups, 25 drink tea, 12 drink coffee and 5 drink both. How many drink neither of the two?
  33. 33.In a group of 49 children, 22 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 45 children, 24 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing only English songs?
  35. 35.In a group of 39 children, 20 like mangoes, 20 like bananas and 7 like both. How many like only mangoes?
  36. 36.In a group of 41 children, 25 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  37. 37.In a group of 47 grown-ups, 23 drink tea, 26 drink coffee and 11 drink both. How many drink only coffee?
  38. 38.In a group of 32 children, 11 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing only Hindi songs?
  39. 39.In a group of 37 children, 15 like mangoes, 15 like bananas and 6 like both. How many like neither of the two?
  40. 40.In a group of 27 children, 10 play cricket, 14 play football and 6 play both. How many play at least one of the two?

Answer key

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

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