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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 152 · 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 23 children, 11 like mangoes, 12 like bananas and 6 like both. How many like neither of the two?
  2. 2.In a group of 38 children, 13 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 41 children, 16 sing Hindi songs, 25 sing English songs and 9 sing both. How many sing exactly one of the two?
  4. 4.In a group of 25 grown-ups, 10 drink tea, 7 drink coffee and 3 drink both. How many drink exactly one of the two?
  5. 5.In a group of 32 grown-ups, 22 drink tea, 12 drink coffee and 9 drink both. How many drink only tea?
  6. 6.In a group of 28 children, 19 play cricket, 12 play football and 5 play both. How many play exactly one of the two?
  7. 7.In a group of 36 children, 25 play chess, 14 play carrom and 10 play both. How many play exactly one of the two?
  8. 8.In a group of 52 children, 21 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 44 children, 31 play chess, 16 play carrom and 11 play both. How many play only chess?
  10. 10.In a group of 31 grown-ups, 16 drink tea, 17 drink coffee and 8 drink both. How many drink neither of the two?
  11. 11.In a group of 35 children, 12 sing Hindi songs, 26 sing English songs and 7 sing both. How many sing only Hindi songs?
  12. 12.In a group of 29 children, 15 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 28 grown-ups, 12 drink tea, 16 drink coffee and 8 drink both. How many drink neither of the two?
  14. 14.In a group of 41 children, 25 play chess, 21 play carrom and 8 play both. How many play exactly one of the two?
  15. 15.In a group of 38 children, 12 play cricket, 27 play football and 7 play both. How many play at least one of the two?
  16. 16.In a group of 40 children, 24 sing Hindi songs, 14 sing English songs and 8 sing both. How many sing only English songs?
  17. 17.In a group of 57 children, 24 enjoy drawing, 23 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  18. 18.In a group of 44 grown-ups, 21 drink tea, 20 drink coffee and 10 drink both. How many drink only tea?
  19. 19.In a group of 42 children, 17 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 37 children, 28 play cricket, 15 play football and 10 play both. How many play neither of the two?
  21. 21.In a group of 39 children, 22 like mangoes, 6 like bananas and 3 like both. How many like exactly one of the two?
  22. 22.In a group of 39 children, 20 play chess, 23 play carrom and 8 play both. How many play only chess?
  23. 23.In a group of 46 children, 17 play cricket, 19 play football and 3 play both. How many play neither of the two?
  24. 24.In a group of 36 children, 10 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 29 children, 17 play cricket, 16 play football and 5 play both. How many play neither of the two?
  26. 26.In a group of 25 children, 9 play cricket, 15 play football and 6 play both. How many play only football?
  27. 27.In a group of 22 children, 9 sing Hindi songs, 12 sing English songs and 6 sing both. How many sing only English songs?
  28. 28.In a group of 48 children, 19 enjoy drawing, 29 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 33 children, 16 play chess, 22 play carrom and 9 play both. How many play only carrom?
  30. 30.In a group of 42 children, 11 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing neither of the two?
  31. 31.In a group of 31 grown-ups, 23 drink tea, 16 drink coffee and 12 drink both. How many drink exactly one of the two?
  32. 32.In a group of 40 children, 29 play chess, 15 play carrom and 12 play both. How many play neither of the two?
  33. 33.In a group of 35 children, 20 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing only English songs?
  34. 34.In a group of 38 grown-ups, 15 drink tea, 20 drink coffee and 4 drink both. How many drink only coffee?
  35. 35.In a group of 49 children, 25 play chess, 27 play carrom and 9 play both. How many play neither of the two?
  36. 36.In a group of 42 children, 23 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing exactly one of the two?
  37. 37.In a group of 26 children, 12 play cricket, 18 play football and 5 play both. How many play neither of the two?
  38. 38.In a group of 25 children, 8 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  39. 39.In a group of 32 children, 10 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 34 children, 15 play cricket, 15 play football and 9 play both. How many play at least one of the two?

Answer key

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

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