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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 210 · 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 45 children, 27 play cricket, 23 play football and 9 play both. How many play neither of the two?
  2. 2.In a group of 28 grown-ups, 12 drink tea, 15 drink coffee and 6 drink both. How many drink neither of the two?
  3. 3.In a group of 22 children, 12 play chess, 7 play carrom and 3 play both. How many play only carrom?
  4. 4.In a group of 41 children, 19 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  5. 5.In a group of 54 children, 23 like mangoes, 25 like bananas and 6 like both. How many like only bananas?
  6. 6.In a group of 41 children, 17 play cricket, 32 play football and 12 play both. How many play exactly one of the two?
  7. 7.In a group of 45 children, 24 like mangoes, 25 like bananas and 12 like both. How many like only bananas?
  8. 8.In a group of 32 children, 20 play cricket, 13 play football and 6 play both. How many play only football?
  9. 9.In a group of 48 children, 22 like mangoes, 15 like bananas and 3 like both. How many like neither of the two?
  10. 10.In a group of 38 children, 20 sing Hindi songs, 21 sing English songs and 9 sing both. How many sing only Hindi songs?
  11. 11.In a group of 47 children, 15 play cricket, 22 play football and 2 play both. How many play only cricket?
  12. 12.In a group of 27 children, 15 play chess, 11 play carrom and 2 play both. How many play only chess?
  13. 13.In a group of 51 children, 28 enjoy drawing, 23 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 40 children, 25 play cricket, 16 play football and 11 play both. How many play exactly one of the two?
  15. 15.In a group of 49 grown-ups, 25 drink tea, 26 drink coffee and 6 drink both. How many drink exactly one of the two?
  16. 16.In a group of 43 children, 16 play cricket, 25 play football and 9 play both. How many play only cricket?
  17. 17.In a group of 22 children, 14 play cricket, 13 play football and 8 play both. How many play neither of the two?
  18. 18.In a group of 50 children, 20 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 43 children, 18 sing Hindi songs, 19 sing English songs and 8 sing both. How many sing exactly one of the two?
  20. 20.In a group of 41 children, 15 like mangoes, 27 like bananas and 11 like both. How many like only bananas?
  21. 21.In a group of 40 children, 22 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing only Hindi songs?
  22. 22.In a group of 34 grown-ups, 21 drink tea, 8 drink coffee and 4 drink both. How many drink exactly one of the two?
  23. 23.In a group of 28 children, 13 play cricket, 15 play football and 2 play both. How many play only football?
  24. 24.In a group of 40 children, 27 play chess, 12 play carrom and 9 play both. How many play exactly one of the two?
  25. 25.In a group of 37 grown-ups, 18 drink tea, 20 drink coffee and 8 drink both. How many drink only coffee?
  26. 26.In a group of 51 children, 21 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 25 children, 14 play chess, 19 play carrom and 10 play both. How many play at least one of the two?
  28. 28.In a group of 31 children, 17 play chess, 17 play carrom and 4 play both. How many play only carrom?
  29. 29.In a group of 41 children, 18 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 31 children, 20 play chess, 6 play carrom and 3 play both. How many play exactly one of the two?
  31. 31.In a group of 30 children, 16 play cricket, 21 play football and 10 play both. How many play exactly one of the two?
  32. 32.In a group of 30 children, 21 play chess, 14 play carrom and 10 play both. How many play at least one of the two?
  33. 33.In a group of 52 children, 22 play cricket, 24 play football and 6 play both. How many play only cricket?
  34. 34.In a group of 38 children, 22 like mangoes, 18 like bananas and 7 like both. How many like only mangoes?
  35. 35.In a group of 31 children, 21 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 35 grown-ups, 8 drink tea, 25 drink coffee and 5 drink both. How many drink exactly one of the two?
  37. 37.In a group of 38 children, 12 sing Hindi songs, 25 sing English songs and 8 sing both. How many sing exactly one of the two?
  38. 38.In a group of 21 children, 11 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing neither of the two?
  39. 39.In a group of 38 grown-ups, 17 drink tea, 13 drink coffee and 6 drink both. How many drink only coffee?
  40. 40.In a group of 43 children, 22 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing only Hindi songs?

Answer key

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

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