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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 242 · 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 28 children, 21 play cricket, 11 play football and 7 play both. How many play only football?
  2. 2.In a group of 39 children, 20 play cricket, 19 play football and 8 play both. How many play exactly one of the two?
  3. 3.In a group of 48 children, 22 sing Hindi songs, 15 sing English songs and 4 sing both. How many sing neither of the two?
  4. 4.In a group of 42 children, 15 enjoy drawing, 18 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 14 children, 10 sing Hindi songs, 10 sing English songs and 7 sing both. How many sing only Hindi songs?
  6. 6.In a group of 38 children, 27 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 52 grown-ups, 24 drink tea, 30 drink coffee and 12 drink both. How many drink exactly one of the two?
  8. 8.In a group of 45 grown-ups, 23 drink tea, 24 drink coffee and 4 drink both. How many drink only tea?
  9. 9.In a group of 39 grown-ups, 23 drink tea, 10 drink coffee and 6 drink both. How many drink only tea?
  10. 10.In a group of 42 children, 18 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  11. 11.In a group of 34 children, 14 play cricket, 19 play football and 8 play both. How many play only football?
  12. 12.In a group of 55 children, 28 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 28 children, 17 sing Hindi songs, 15 sing English songs and 7 sing both. How many sing at least one of the two?
  14. 14.In a group of 43 children, 21 like mangoes, 22 like bananas and 3 like both. How many like only bananas?
  15. 15.In a group of 49 children, 27 sing Hindi songs, 25 sing English songs and 11 sing both. How many sing at least one of the two?
  16. 16.In a group of 41 children, 15 like mangoes, 19 like bananas and 6 like both. How many like neither of the two?
  17. 17.In a group of 45 children, 27 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 33 children, 21 like mangoes, 15 like bananas and 9 like both. How many like at least one of the two?
  19. 19.In a group of 30 children, 13 like mangoes, 23 like bananas and 8 like both. How many like at least one of the two?
  20. 20.In a group of 32 children, 17 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  21. 21.In a group of 31 children, 22 sing Hindi songs, 11 sing English songs and 3 sing both. How many sing only Hindi songs?
  22. 22.In a group of 44 children, 22 play cricket, 19 play football and 10 play both. How many play at least one of the two?
  23. 23.In a group of 42 children, 15 play chess, 25 play carrom and 11 play both. How many play exactly one of the two?
  24. 24.In a group of 47 grown-ups, 14 drink tea, 24 drink coffee and 6 drink both. How many drink only tea?
  25. 25.In a group of 40 children, 18 play chess, 12 play carrom and 5 play both. How many play only carrom?
  26. 26.In a group of 44 children, 17 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing exactly one of the two?
  27. 27.In a group of 61 children, 27 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing only Hindi songs?
  28. 28.In a group of 35 children, 14 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing neither of the two?
  29. 29.In a group of 30 children, 6 play cricket, 23 play football and 3 play both. How many play at least one of the two?
  30. 30.In a group of 26 grown-ups, 14 drink tea, 9 drink coffee and 2 drink both. How many drink exactly one of the two?
  31. 31.In a group of 20 grown-ups, 7 drink tea, 7 drink coffee and 3 drink both. How many drink at least one of the two?
  32. 32.In a group of 32 grown-ups, 24 drink tea, 9 drink coffee and 4 drink both. How many drink only coffee?
  33. 33.In a group of 37 children, 16 like mangoes, 22 like bananas and 11 like both. How many like only bananas?
  34. 34.In a group of 51 children, 24 like mangoes, 24 like bananas and 9 like both. How many like at least one of the two?
  35. 35.In a group of 31 children, 11 play cricket, 22 play football and 4 play both. How many play at least one of the two?
  36. 36.In a group of 50 children, 24 like mangoes, 22 like bananas and 6 like both. How many like only mangoes?
  37. 37.In a group of 45 children, 27 like mangoes, 21 like bananas and 7 like both. How many like only bananas?
  38. 38.In a group of 37 grown-ups, 22 drink tea, 18 drink coffee and 12 drink both. How many drink only coffee?
  39. 39.In a group of 38 grown-ups, 16 drink tea, 23 drink coffee and 7 drink both. How many drink exactly one of the two?
  40. 40.In a group of 30 children, 14 play cricket, 15 play football and 6 play both. How many play neither of the two?

Answer key

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

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