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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 97 · 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 51 children, 29 play cricket, 32 play football and 12 play both. How many play at least one of the two?
  2. 2.In a group of 21 children, 15 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 31 grown-ups, 14 drink tea, 17 drink coffee and 7 drink both. How many drink at least one of the two?
  4. 4.In a group of 37 children, 12 enjoy drawing, 21 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  5. 5.In a group of 22 children, 11 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 45 children, 27 play cricket, 17 play football and 7 play both. How many play neither of the two?
  7. 7.In a group of 39 children, 19 play chess, 18 play carrom and 3 play both. How many play neither of the two?
  8. 8.In a group of 25 grown-ups, 13 drink tea, 17 drink coffee and 6 drink both. How many drink only coffee?
  9. 9.In a group of 43 children, 21 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 37 children, 17 like mangoes, 17 like bananas and 5 like both. How many like only bananas?
  11. 11.In a group of 42 children, 18 play cricket, 21 play football and 8 play both. How many play at least one of the two?
  12. 12.In a group of 32 children, 11 enjoy drawing, 13 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 40 children, 20 like mangoes, 24 like bananas and 11 like both. How many like at least one of the two?
  14. 14.In a group of 45 children, 20 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 24 children, 16 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  16. 16.In a group of 33 children, 7 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 27 children, 20 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing only English songs?
  18. 18.In a group of 58 children, 27 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 38 children, 18 like mangoes, 12 like bananas and 4 like both. How many like only bananas?
  20. 20.In a group of 36 children, 7 play chess, 17 play carrom and 3 play both. How many play only chess?
  21. 21.In a group of 37 children, 20 enjoy drawing, 17 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 37 children, 11 sing Hindi songs, 19 sing English songs and 4 sing both. How many sing neither of the two?
  23. 23.In a group of 39 children, 22 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 38 children, 24 like mangoes, 15 like bananas and 11 like both. How many like neither of the two?
  25. 25.In a group of 46 children, 19 play cricket, 25 play football and 7 play both. How many play at least one of the two?
  26. 26.In a group of 40 children, 26 play chess, 18 play carrom and 8 play both. How many play only carrom?
  27. 27.In a group of 33 children, 24 play chess, 10 play carrom and 4 play both. How many play only carrom?
  28. 28.In a group of 56 children, 27 sing Hindi songs, 29 sing English songs and 9 sing both. How many sing neither of the two?
  29. 29.In a group of 52 grown-ups, 29 drink tea, 20 drink coffee and 9 drink both. How many drink neither of the two?
  30. 30.In a group of 36 children, 20 enjoy drawing, 25 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 22 children, 10 play cricket, 9 play football and 3 play both. How many play neither of the two?
  32. 32.In a group of 33 grown-ups, 9 drink tea, 13 drink coffee and 4 drink both. How many drink neither of the two?
  33. 33.In a group of 31 children, 17 enjoy drawing, 23 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  34. 34.In a group of 38 children, 13 play chess, 22 play carrom and 8 play both. How many play at least one of the two?
  35. 35.In a group of 24 children, 11 like mangoes, 13 like bananas and 8 like both. How many like only bananas?
  36. 36.In a group of 49 grown-ups, 26 drink tea, 26 drink coffee and 10 drink both. How many drink only tea?
  37. 37.In a group of 45 children, 21 play chess, 23 play carrom and 3 play both. How many play only carrom?
  38. 38.In a group of 38 children, 17 play cricket, 18 play football and 3 play both. How many play only cricket?
  39. 39.In a group of 45 children, 26 play cricket, 26 play football and 12 play both. How many play exactly one of the two?
  40. 40.In a group of 25 grown-ups, 7 drink tea, 8 drink coffee and 3 drink both. How many drink only coffee?

Answer key

  1. 49
  2. 1
  3. 24
  4. 28
  5. 7
  6. 8
  7. 5
  8. 11
  9. 18
  10. 12
  11. 31
  12. 21
  13. 33
  14. 9
  15. 15
  16. 21
  17. 3
  18. 17
  19. 8
  20. 4
  21. 8
  22. 11
  23. 27
  24. 10
  25. 37
  26. 10
  27. 6
  28. 9
  29. 12
  30. 33
  31. 6
  32. 15
  33. 1
  34. 27
  35. 5
  36. 16
  37. 20
  38. 14
  39. 28
  40. 5

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