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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 40 · 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 34 children, 16 play cricket, 6 play football and 3 play both. How many play at least one of the two?
  2. 2.In a group of 35 children, 16 play chess, 19 play carrom and 8 play both. How many play only carrom?
  3. 3.In a group of 25 grown-ups, 10 drink tea, 15 drink coffee and 4 drink both. How many drink only coffee?
  4. 4.In a group of 39 grown-ups, 12 drink tea, 20 drink coffee and 5 drink both. How many drink only tea?
  5. 5.In a group of 31 grown-ups, 12 drink tea, 7 drink coffee and 2 drink both. How many drink only coffee?
  6. 6.In a group of 31 children, 13 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  7. 7.In a group of 41 children, 18 play chess, 23 play carrom and 12 play both. How many play only chess?
  8. 8.In a group of 46 grown-ups, 24 drink tea, 29 drink coffee and 10 drink both. How many drink only tea?
  9. 9.In a group of 48 grown-ups, 27 drink tea, 25 drink coffee and 7 drink both. How many drink exactly one of the two?
  10. 10.In a group of 44 children, 16 play cricket, 22 play football and 7 play both. How many play only football?
  11. 11.In a group of 27 children, 6 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 29 children, 14 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 28 grown-ups, 14 drink tea, 19 drink coffee and 10 drink both. How many drink neither of the two?
  14. 14.In a group of 22 children, 10 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing exactly one of the two?
  15. 15.In a group of 31 children, 15 like mangoes, 14 like bananas and 10 like both. How many like only mangoes?
  16. 16.In a group of 32 children, 16 like mangoes, 16 like bananas and 5 like both. How many like only mangoes?
  17. 17.In a group of 24 children, 18 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  18. 18.In a group of 28 grown-ups, 17 drink tea, 12 drink coffee and 9 drink both. How many drink neither of the two?
  19. 19.In a group of 24 children, 16 play cricket, 10 play football and 5 play both. How many play only football?
  20. 20.In a group of 50 children, 17 play chess, 26 play carrom and 8 play both. How many play at least one of the two?
  21. 21.In a group of 40 children, 13 play cricket, 22 play football and 3 play both. How many play at least one of the two?
  22. 22.In a group of 31 grown-ups, 23 drink tea, 12 drink coffee and 6 drink both. How many drink only tea?
  23. 23.In a group of 32 children, 19 play cricket, 21 play football and 12 play both. How many play neither of the two?
  24. 24.In a group of 38 children, 13 like mangoes, 30 like bananas and 10 like both. How many like exactly one of the two?
  25. 25.In a group of 32 grown-ups, 17 drink tea, 13 drink coffee and 8 drink both. How many drink only coffee?
  26. 26.In a group of 40 children, 15 like mangoes, 18 like bananas and 8 like both. How many like at least one of the two?
  27. 27.In a group of 25 children, 18 play chess, 8 play carrom and 2 play both. How many play neither of the two?
  28. 28.In a group of 57 children, 30 like mangoes, 24 like bananas and 12 like both. How many like only mangoes?
  29. 29.In a group of 36 children, 29 play chess, 16 play carrom and 11 play both. How many play exactly one of the two?
  30. 30.In a group of 39 children, 24 play cricket, 13 play football and 7 play both. How many play only football?
  31. 31.In a group of 40 children, 24 like mangoes, 21 like bananas and 8 like both. How many like at least one of the two?
  32. 32.In a group of 28 children, 20 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  33. 33.In a group of 27 grown-ups, 17 drink tea, 6 drink coffee and 3 drink both. How many drink only coffee?
  34. 34.In a group of 38 children, 17 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 39 grown-ups, 23 drink tea, 17 drink coffee and 9 drink both. How many drink only tea?
  36. 36.In a group of 42 children, 21 play chess, 18 play carrom and 7 play both. How many play only carrom?
  37. 37.In a group of 33 children, 10 play chess, 20 play carrom and 3 play both. How many play exactly one of the two?
  38. 38.In a group of 26 children, 14 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 23 grown-ups, 14 drink tea, 10 drink coffee and 3 drink both. How many drink neither of the two?
  40. 40.In a group of 40 children, 17 play chess, 23 play carrom and 10 play both. How many play only carrom?

Answer key

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

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