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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 323 · 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, 20 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  2. 2.In a group of 27 children, 8 sing Hindi songs, 22 sing English songs and 5 sing both. How many sing only English songs?
  3. 3.In a group of 36 grown-ups, 12 drink tea, 22 drink coffee and 4 drink both. How many drink only tea?
  4. 4.In a group of 40 grown-ups, 17 drink tea, 12 drink coffee and 4 drink both. How many drink only coffee?
  5. 5.In a group of 46 grown-ups, 26 drink tea, 25 drink coffee and 10 drink both. How many drink neither of the two?
  6. 6.In a group of 46 children, 20 like mangoes, 14 like bananas and 3 like both. How many like only bananas?
  7. 7.In a group of 29 children, 24 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing only Hindi songs?
  8. 8.In a group of 35 children, 10 play cricket, 24 play football and 7 play both. How many play only football?
  9. 9.In a group of 23 children, 13 play chess, 11 play carrom and 5 play both. How many play at least one of the two?
  10. 10.In a group of 26 children, 8 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 28 children, 8 play chess, 22 play carrom and 3 play both. How many play at least one of the two?
  12. 12.In a group of 38 children, 19 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 45 children, 11 play chess, 22 play carrom and 3 play both. How many play neither of the two?
  14. 14.In a group of 42 children, 21 play chess, 19 play carrom and 12 play both. How many play neither of the two?
  15. 15.In a group of 35 children, 22 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing only Hindi songs?
  16. 16.In a group of 27 children, 10 play chess, 10 play carrom and 4 play both. How many play only carrom?
  17. 17.In a group of 29 children, 19 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing neither of the two?
  18. 18.In a group of 42 grown-ups, 21 drink tea, 16 drink coffee and 6 drink both. How many drink neither of the two?
  19. 19.In a group of 46 children, 23 like mangoes, 19 like bananas and 4 like both. How many like only bananas?
  20. 20.In a group of 30 children, 16 play cricket, 22 play football and 10 play both. How many play only football?
  21. 21.In a group of 44 grown-ups, 23 drink tea, 21 drink coffee and 3 drink both. How many drink at least one of the two?
  22. 22.In a group of 53 children, 26 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 42 grown-ups, 18 drink tea, 23 drink coffee and 9 drink both. How many drink at least one of the two?
  24. 24.In a group of 28 grown-ups, 16 drink tea, 18 drink coffee and 12 drink both. How many drink only tea?
  25. 25.In a group of 29 children, 12 like mangoes, 16 like bananas and 6 like both. How many like only mangoes?
  26. 26.In a group of 60 children, 29 sing Hindi songs, 30 sing English songs and 10 sing both. How many sing only Hindi songs?
  27. 27.In a group of 36 children, 21 like mangoes, 7 like bananas and 2 like both. How many like exactly one of the two?
  28. 28.In a group of 41 children, 22 like mangoes, 10 like bananas and 3 like both. How many like only mangoes?
  29. 29.In a group of 26 children, 19 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing only English songs?
  30. 30.In a group of 45 children, 23 sing Hindi songs, 28 sing English songs and 10 sing both. How many sing only English songs?
  31. 31.In a group of 25 children, 10 play cricket, 14 play football and 2 play both. How many play exactly one of the two?
  32. 32.In a group of 24 children, 6 play cricket, 17 play football and 3 play both. How many play exactly one of the two?
  33. 33.In a group of 20 children, 11 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing only Hindi songs?
  34. 34.In a group of 46 grown-ups, 15 drink tea, 25 drink coffee and 8 drink both. How many drink only tea?
  35. 35.In a group of 38 grown-ups, 25 drink tea, 15 drink coffee and 7 drink both. How many drink exactly one of the two?
  36. 36.In a group of 31 children, 12 like mangoes, 16 like bananas and 5 like both. How many like only mangoes?
  37. 37.In a group of 32 grown-ups, 15 drink tea, 12 drink coffee and 5 drink both. How many drink at least one of the two?
  38. 38.In a group of 30 children, 15 sing Hindi songs, 21 sing English songs and 10 sing both. How many sing only English songs?
  39. 39.In a group of 57 children, 32 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 45 children, 26 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy only drawing?

Answer key

  1. 11
  2. 17
  3. 8
  4. 8
  5. 5
  6. 11
  7. 16
  8. 17
  9. 19
  10. 6
  11. 27
  12. 21
  13. 15
  14. 14
  15. 18
  16. 6
  17. 4
  18. 11
  19. 15
  20. 12
  21. 41
  22. 42
  23. 32
  24. 4
  25. 6
  26. 19
  27. 24
  28. 19
  29. 3
  30. 18
  31. 20
  32. 17
  33. 4
  34. 7
  35. 26
  36. 7
  37. 22
  38. 11
  39. 32
  40. 19

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