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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 33 · 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 43 children, 23 like mangoes, 24 like bananas and 11 like both. How many like at least one of the two?
  2. 2.In a group of 21 children, 15 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing neither of the two?
  3. 3.In a group of 32 children, 10 play chess, 26 play carrom and 6 play both. How many play at least one of the two?
  4. 4.In a group of 37 children, 14 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 53 children, 30 play cricket, 30 play football and 10 play both. How many play only cricket?
  6. 6.In a group of 46 children, 23 play cricket, 18 play football and 5 play both. How many play at least one of the two?
  7. 7.In a group of 25 grown-ups, 8 drink tea, 20 drink coffee and 5 drink both. How many drink only coffee?
  8. 8.In a group of 44 grown-ups, 13 drink tea, 25 drink coffee and 9 drink both. How many drink at least one of the two?
  9. 9.In a group of 39 children, 18 play cricket, 24 play football and 11 play both. How many play neither of the two?
  10. 10.In a group of 18 grown-ups, 9 drink tea, 5 drink coffee and 2 drink both. How many drink at least one of the two?
  11. 11.In a group of 38 children, 14 like mangoes, 21 like bananas and 2 like both. How many like only mangoes?
  12. 12.In a group of 26 children, 9 play cricket, 17 play football and 6 play both. How many play exactly one of the two?
  13. 13.In a group of 45 children, 19 play chess, 20 play carrom and 9 play both. How many play neither of the two?
  14. 14.In a group of 55 children, 29 play cricket, 25 play football and 9 play both. How many play only cricket?
  15. 15.In a group of 52 children, 20 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  16. 16.In a group of 40 children, 12 play cricket, 24 play football and 6 play both. How many play only cricket?
  17. 17.In a group of 31 children, 17 play chess, 17 play carrom and 8 play both. How many play only carrom?
  18. 18.In a group of 26 children, 19 play chess, 14 play carrom and 10 play both. How many play neither of the two?
  19. 19.In a group of 39 children, 17 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  20. 20.In a group of 31 children, 17 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing at least one of the two?
  21. 21.In a group of 30 children, 17 play chess, 17 play carrom and 8 play both. How many play only chess?
  22. 22.In a group of 42 children, 24 play chess, 12 play carrom and 8 play both. How many play at least one of the two?
  23. 23.In a group of 58 children, 26 play chess, 24 play carrom and 6 play both. How many play exactly one of the two?
  24. 24.In a group of 29 children, 11 enjoy drawing, 13 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 29 grown-ups, 12 drink tea, 11 drink coffee and 3 drink both. How many drink only coffee?
  26. 26.In a group of 39 grown-ups, 27 drink tea, 10 drink coffee and 7 drink both. How many drink exactly one of the two?
  27. 27.In a group of 34 grown-ups, 13 drink tea, 19 drink coffee and 3 drink both. How many drink only tea?
  28. 28.In a group of 34 grown-ups, 16 drink tea, 15 drink coffee and 8 drink both. How many drink at least one of the two?
  29. 29.In a group of 48 grown-ups, 30 drink tea, 14 drink coffee and 10 drink both. How many drink only tea?
  30. 30.In a group of 50 grown-ups, 28 drink tea, 29 drink coffee and 9 drink both. How many drink neither of the two?
  31. 31.In a group of 44 children, 20 play cricket, 12 play football and 3 play both. How many play exactly one of the two?
  32. 32.In a group of 28 children, 14 sing Hindi songs, 12 sing English songs and 9 sing both. How many sing neither of the two?
  33. 33.In a group of 39 children, 29 like mangoes, 15 like bananas and 12 like both. How many like only bananas?
  34. 34.In a group of 25 children, 14 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 47 children, 24 play chess, 30 play carrom and 11 play both. How many play only carrom?
  36. 36.In a group of 31 children, 14 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  37. 37.In a group of 38 children, 25 play cricket, 24 play football and 12 play both. How many play only cricket?
  38. 38.In a group of 34 children, 12 like mangoes, 27 like bananas and 7 like both. How many like exactly one of the two?
  39. 39.In a group of 37 grown-ups, 16 drink tea, 16 drink coffee and 9 drink both. How many drink only coffee?
  40. 40.In a group of 31 children, 10 like mangoes, 25 like bananas and 5 like both. How many like exactly one of the two?

Answer key

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

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