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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 403 · 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 18 grown-ups, 7 drink tea, 12 drink coffee and 4 drink both. How many drink exactly one of the two?
  2. 2.In a group of 37 children, 22 sing Hindi songs, 16 sing English songs and 2 sing both. How many sing neither of the two?
  3. 3.In a group of 45 children, 23 like mangoes, 16 like bananas and 9 like both. How many like at least one of the two?
  4. 4.In a group of 31 grown-ups, 20 drink tea, 12 drink coffee and 4 drink both. How many drink only coffee?
  5. 5.In a group of 47 children, 15 like mangoes, 19 like bananas and 2 like both. How many like only mangoes?
  6. 6.In a group of 22 children, 9 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing neither of the two?
  7. 7.In a group of 22 children, 18 play cricket, 10 play football and 7 play both. How many play neither of the two?
  8. 8.In a group of 21 grown-ups, 9 drink tea, 14 drink coffee and 6 drink both. How many drink only coffee?
  9. 9.In a group of 30 children, 7 like mangoes, 22 like bananas and 4 like both. How many like neither of the two?
  10. 10.In a group of 41 children, 22 play chess, 21 play carrom and 3 play both. How many play only carrom?
  11. 11.In a group of 28 children, 13 play cricket, 10 play football and 7 play both. How many play at least one of the two?
  12. 12.In a group of 33 children, 16 play cricket, 16 play football and 11 play both. How many play only football?
  13. 13.In a group of 34 children, 24 play chess, 16 play carrom and 9 play both. How many play only carrom?
  14. 14.In a group of 32 children, 26 play cricket, 12 play football and 7 play both. How many play at least one of the two?
  15. 15.In a group of 20 children, 12 like mangoes, 10 like bananas and 6 like both. How many like only bananas?
  16. 16.In a group of 41 children, 14 like mangoes, 26 like bananas and 11 like both. How many like only bananas?
  17. 17.In a group of 41 children, 19 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing neither of the two?
  18. 18.In a group of 45 children, 24 play cricket, 26 play football and 8 play both. How many play only cricket?
  19. 19.In a group of 45 children, 18 like mangoes, 23 like bananas and 4 like both. How many like only bananas?
  20. 20.In a group of 46 children, 29 play chess, 19 play carrom and 9 play both. How many play exactly one of the two?
  21. 21.In a group of 24 children, 18 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing neither of the two?
  22. 22.In a group of 35 grown-ups, 12 drink tea, 26 drink coffee and 6 drink both. How many drink at least one of the two?
  23. 23.In a group of 26 children, 12 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing only Hindi songs?
  24. 24.In a group of 43 children, 11 enjoy drawing, 24 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  25. 25.In a group of 29 children, 12 play chess, 11 play carrom and 4 play both. How many play exactly one of the two?
  26. 26.In a group of 27 children, 7 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 48 children, 30 like mangoes, 24 like bananas and 12 like both. How many like neither of the two?
  28. 28.In a group of 37 children, 16 play chess, 26 play carrom and 9 play both. How many play exactly one of the two?
  29. 29.In a group of 35 children, 15 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 39 children, 25 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 44 grown-ups, 24 drink tea, 28 drink coffee and 11 drink both. How many drink exactly one of the two?
  32. 32.In a group of 33 grown-ups, 15 drink tea, 11 drink coffee and 6 drink both. How many drink only tea?
  33. 33.In a group of 30 children, 18 sing Hindi songs, 14 sing English songs and 4 sing both. How many sing only English songs?
  34. 34.In a group of 41 children, 22 play chess, 17 play carrom and 8 play both. How many play only carrom?
  35. 35.In a group of 39 children, 22 play cricket, 19 play football and 5 play both. How many play neither of the two?
  36. 36.In a group of 36 children, 22 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  37. 37.In a group of 47 children, 18 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  38. 38.In a group of 24 grown-ups, 8 drink tea, 13 drink coffee and 5 drink both. How many drink only tea?
  39. 39.In a group of 51 children, 24 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing only Hindi songs?
  40. 40.In a group of 27 children, 13 play cricket, 21 play football and 8 play both. How many play only cricket?

Answer key

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

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