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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 234 · 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 47 children, 28 play cricket, 27 play football and 10 play both. How many play only football?
  2. 2.In a group of 33 children, 17 enjoy drawing, 13 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 38 children, 11 play cricket, 17 play football and 2 play both. How many play only cricket?
  4. 4.In a group of 34 children, 19 play cricket, 15 play football and 10 play both. How many play only football?
  5. 5.In a group of 47 children, 30 enjoy drawing, 23 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  6. 6.In a group of 42 children, 24 like mangoes, 20 like bananas and 5 like both. How many like only mangoes?
  7. 7.In a group of 37 children, 28 like mangoes, 15 like bananas and 10 like both. How many like only bananas?
  8. 8.In a group of 47 grown-ups, 20 drink tea, 25 drink coffee and 12 drink both. How many drink exactly one of the two?
  9. 9.In a group of 20 grown-ups, 7 drink tea, 14 drink coffee and 4 drink both. How many drink only coffee?
  10. 10.In a group of 41 children, 29 play cricket, 16 play football and 9 play both. How many play only football?
  11. 11.In a group of 29 children, 20 play cricket, 17 play football and 9 play both. How many play only cricket?
  12. 12.In a group of 37 children, 26 like mangoes, 15 like bananas and 12 like both. How many like exactly one of the two?
  13. 13.In a group of 36 children, 26 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 34 children, 15 play cricket, 25 play football and 11 play both. How many play exactly one of the two?
  15. 15.In a group of 34 children, 16 play cricket, 25 play football and 8 play both. How many play only cricket?
  16. 16.In a group of 31 children, 19 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 47 grown-ups, 21 drink tea, 20 drink coffee and 2 drink both. How many drink neither of the two?
  18. 18.In a group of 39 children, 23 sing Hindi songs, 15 sing English songs and 6 sing both. How many sing only Hindi songs?
  19. 19.In a group of 48 children, 15 like mangoes, 25 like bananas and 5 like both. How many like only bananas?
  20. 20.In a group of 40 children, 19 play chess, 28 play carrom and 12 play both. How many play only chess?
  21. 21.In a group of 27 children, 15 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 49 children, 20 play chess, 22 play carrom and 3 play both. How many play neither of the two?
  23. 23.In a group of 31 children, 19 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 52 children, 24 like mangoes, 19 like bananas and 6 like both. How many like exactly one of the two?
  25. 25.In a group of 54 children, 29 play cricket, 27 play football and 9 play both. How many play only football?
  26. 26.In a group of 34 children, 16 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  27. 27.In a group of 29 children, 10 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing neither of the two?
  28. 28.In a group of 39 children, 13 enjoy drawing, 19 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 49 children, 18 play cricket, 23 play football and 3 play both. How many play only football?
  30. 30.In a group of 33 children, 26 enjoy drawing, 13 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 32 grown-ups, 12 drink tea, 23 drink coffee and 6 drink both. How many drink at least one of the two?
  32. 32.In a group of 29 children, 16 play cricket, 23 play football and 11 play both. How many play only football?
  33. 33.In a group of 16 children, 8 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  34. 34.In a group of 27 children, 14 play chess, 10 play carrom and 7 play both. How many play only carrom?
  35. 35.In a group of 29 children, 13 play cricket, 20 play football and 10 play both. How many play neither of the two?
  36. 36.In a group of 30 grown-ups, 10 drink tea, 19 drink coffee and 6 drink both. How many drink exactly one of the two?
  37. 37.In a group of 40 children, 24 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 35 children, 20 play chess, 5 play carrom and 2 play both. How many play only carrom?
  39. 39.In a group of 40 children, 25 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing neither of the two?
  40. 40.In a group of 30 children, 13 play chess, 18 play carrom and 6 play both. How many play only chess?

Answer key

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

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