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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 36 · 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 40 children, 10 play chess, 25 play carrom and 5 play both. How many play only chess?
  2. 2.In a group of 44 children, 23 play chess, 29 play carrom and 10 play both. How many play only carrom?
  3. 3.In a group of 34 children, 24 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing only English songs?
  4. 4.In a group of 35 grown-ups, 12 drink tea, 24 drink coffee and 5 drink both. How many drink only tea?
  5. 5.In a group of 45 children, 22 play cricket, 11 play football and 3 play both. How many play at least one of the two?
  6. 6.In a group of 51 children, 23 play chess, 29 play carrom and 10 play both. How many play exactly one of the two?
  7. 7.In a group of 36 children, 22 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 29 grown-ups, 20 drink tea, 13 drink coffee and 9 drink both. How many drink neither of the two?
  9. 9.In a group of 30 children, 26 play chess, 12 play carrom and 9 play both. How many play at least one of the two?
  10. 10.In a group of 33 grown-ups, 22 drink tea, 15 drink coffee and 10 drink both. How many drink only tea?
  11. 11.In a group of 26 children, 22 play chess, 6 play carrom and 3 play both. How many play exactly one of the two?
  12. 12.In a group of 47 children, 24 play cricket, 28 play football and 10 play both. How many play exactly one of the two?
  13. 13.In a group of 28 children, 10 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing neither of the two?
  14. 14.In a group of 37 children, 15 like mangoes, 24 like bananas and 4 like both. How many like only mangoes?
  15. 15.In a group of 27 grown-ups, 20 drink tea, 16 drink coffee and 12 drink both. How many drink exactly one of the two?
  16. 16.In a group of 26 children, 11 sing Hindi songs, 19 sing English songs and 7 sing both. How many sing only English songs?
  17. 17.In a group of 27 children, 11 play cricket, 9 play football and 4 play both. How many play exactly one of the two?
  18. 18.In a group of 35 children, 17 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  19. 19.In a group of 24 children, 17 like mangoes, 6 like bananas and 3 like both. How many like exactly one of the two?
  20. 20.In a group of 61 grown-ups, 32 drink tea, 26 drink coffee and 12 drink both. How many drink at least one of the two?
  21. 21.In a group of 47 children, 24 play chess, 14 play carrom and 5 play both. How many play only chess?
  22. 22.In a group of 38 children, 18 play cricket, 24 play football and 7 play both. How many play exactly one of the two?
  23. 23.In a group of 42 grown-ups, 21 drink tea, 25 drink coffee and 5 drink both. How many drink at least one of the two?
  24. 24.In a group of 44 children, 22 like mangoes, 11 like bananas and 3 like both. How many like neither of the two?
  25. 25.In a group of 30 children, 11 play cricket, 23 play football and 8 play both. How many play only cricket?
  26. 26.In a group of 52 children, 20 play cricket, 23 play football and 3 play both. How many play exactly one of the two?
  27. 27.In a group of 46 children, 29 play cricket, 20 play football and 11 play both. How many play only football?
  28. 28.In a group of 19 children, 9 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 35 children, 15 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  30. 30.In a group of 47 children, 24 like mangoes, 17 like bananas and 8 like both. How many like only mangoes?
  31. 31.In a group of 15 children, 5 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing only English songs?
  32. 32.In a group of 19 children, 10 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 44 children, 27 play chess, 23 play carrom and 11 play both. How many play at least one of the two?
  34. 34.In a group of 41 grown-ups, 23 drink tea, 17 drink coffee and 3 drink both. How many drink exactly one of the two?
  35. 35.In a group of 44 grown-ups, 23 drink tea, 18 drink coffee and 11 drink both. How many drink at least one of the two?
  36. 36.In a group of 50 grown-ups, 28 drink tea, 27 drink coffee and 8 drink both. How many drink only coffee?
  37. 37.In a group of 34 children, 21 like mangoes, 8 like bananas and 4 like both. How many like only mangoes?
  38. 38.In a group of 37 children, 16 like mangoes, 18 like bananas and 3 like both. How many like exactly one of the two?
  39. 39.In a group of 40 children, 20 play cricket, 19 play football and 12 play both. How many play at least one of the two?
  40. 40.In a group of 47 children, 19 like mangoes, 30 like bananas and 10 like both. How many like only bananas?

Answer key

  1. 5
  2. 19
  3. 5
  4. 7
  5. 30
  6. 32
  7. 13
  8. 5
  9. 29
  10. 12
  11. 22
  12. 32
  13. 11
  14. 11
  15. 12
  16. 12
  17. 12
  18. 32
  19. 17
  20. 46
  21. 19
  22. 28
  23. 41
  24. 14
  25. 3
  26. 37
  27. 9
  28. 18
  29. 11
  30. 16
  31. 5
  32. 4
  33. 39
  34. 34
  35. 30
  36. 19
  37. 17
  38. 28
  39. 27
  40. 20

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