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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 694 · 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 50 grown-ups, 19 drink tea, 28 drink coffee and 10 drink both. How many drink only tea?
  2. 2.In a group of 41 children, 25 like mangoes, 18 like bananas and 9 like both. How many like exactly one of the two?
  3. 3.In a group of 29 children, 19 like mangoes, 19 like bananas and 10 like both. How many like at least one of the two?
  4. 4.In a group of 32 children, 11 play cricket, 10 play football and 3 play both. How many play only cricket?
  5. 5.In a group of 47 children, 23 play chess, 17 play carrom and 4 play both. How many play at least one of the two?
  6. 6.In a group of 42 children, 21 sing Hindi songs, 17 sing English songs and 6 sing both. How many sing neither of the two?
  7. 7.In a group of 34 children, 12 like mangoes, 26 like bananas and 6 like both. How many like only mangoes?
  8. 8.In a group of 40 children, 13 sing Hindi songs, 19 sing English songs and 5 sing both. How many sing only English songs?
  9. 9.In a group of 21 children, 8 play cricket, 8 play football and 3 play both. How many play neither of the two?
  10. 10.In a group of 30 children, 16 like mangoes, 15 like bananas and 8 like both. How many like exactly one of the two?
  11. 11.In a group of 42 grown-ups, 28 drink tea, 20 drink coffee and 12 drink both. How many drink only tea?
  12. 12.In a group of 32 children, 18 sing Hindi songs, 22 sing English songs and 9 sing both. How many sing only Hindi songs?
  13. 13.In a group of 43 children, 27 play cricket, 16 play football and 9 play both. How many play exactly one of the two?
  14. 14.In a group of 44 children, 23 like mangoes, 9 like bananas and 3 like both. How many like only mangoes?
  15. 15.In a group of 35 children, 15 like mangoes, 19 like bananas and 12 like both. How many like at least one of the two?
  16. 16.In a group of 36 children, 14 like mangoes, 23 like bananas and 10 like both. How many like only bananas?
  17. 17.In a group of 31 grown-ups, 10 drink tea, 22 drink coffee and 5 drink both. How many drink neither of the two?
  18. 18.In a group of 22 children, 7 like mangoes, 8 like bananas and 2 like both. How many like neither of the two?
  19. 19.In a group of 43 children, 17 play cricket, 28 play football and 9 play both. How many play at least one of the two?
  20. 20.In a group of 38 children, 19 like mangoes, 20 like bananas and 12 like both. How many like only bananas?
  21. 21.In a group of 47 children, 24 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 41 children, 23 play chess, 20 play carrom and 5 play both. How many play only chess?
  23. 23.In a group of 47 children, 27 play cricket, 14 play football and 9 play both. How many play at least one of the two?
  24. 24.In a group of 37 grown-ups, 19 drink tea, 10 drink coffee and 2 drink both. How many drink at least one of the two?
  25. 25.In a group of 31 grown-ups, 17 drink tea, 13 drink coffee and 6 drink both. How many drink neither of the two?
  26. 26.In a group of 50 grown-ups, 22 drink tea, 21 drink coffee and 6 drink both. How many drink only coffee?
  27. 27.In a group of 38 children, 22 play chess, 25 play carrom and 10 play both. How many play at least one of the two?
  28. 28.In a group of 38 children, 16 play chess, 25 play carrom and 12 play both. How many play only carrom?
  29. 29.In a group of 28 children, 19 play chess, 19 play carrom and 12 play both. How many play only carrom?
  30. 30.In a group of 51 children, 20 play chess, 27 play carrom and 7 play both. How many play neither of the two?
  31. 31.In a group of 39 children, 17 like mangoes, 11 like bananas and 3 like both. How many like at least one of the two?
  32. 32.In a group of 32 grown-ups, 23 drink tea, 14 drink coffee and 7 drink both. How many drink at least one of the two?
  33. 33.In a group of 30 children, 13 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 36 grown-ups, 28 drink tea, 15 drink coffee and 12 drink both. How many drink at least one of the two?
  35. 35.In a group of 15 children, 11 play cricket, 7 play football and 4 play both. How many play at least one of the two?
  36. 36.In a group of 29 children, 11 like mangoes, 9 like bananas and 4 like both. How many like at least one of the two?
  37. 37.In a group of 43 children, 23 play cricket, 24 play football and 8 play both. How many play at least one of the two?
  38. 38.In a group of 37 children, 19 play cricket, 20 play football and 11 play both. How many play exactly one of the two?
  39. 39.In a group of 35 children, 24 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 39 grown-ups, 7 drink tea, 21 drink coffee and 4 drink both. How many drink exactly one of the two?

Answer key

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

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