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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 361 · 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 39 grown-ups, 20 drink tea, 29 drink coffee and 11 drink both. How many drink only tea?
  2. 2.In a group of 31 grown-ups, 23 drink tea, 12 drink coffee and 8 drink both. How many drink exactly one of the two?
  3. 3.In a group of 35 grown-ups, 16 drink tea, 22 drink coffee and 12 drink both. How many drink only coffee?
  4. 4.In a group of 29 children, 11 play chess, 10 play carrom and 5 play both. How many play at least one of the two?
  5. 5.In a group of 27 children, 15 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing only Hindi songs?
  6. 6.In a group of 25 children, 16 enjoy drawing, 20 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 41 children, 15 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 43 children, 25 play chess, 18 play carrom and 12 play both. How many play at least one of the two?
  9. 9.In a group of 27 children, 13 play chess, 19 play carrom and 7 play both. How many play only chess?
  10. 10.In a group of 39 grown-ups, 26 drink tea, 13 drink coffee and 10 drink both. How many drink at least one of the two?
  11. 11.In a group of 29 children, 19 play cricket, 13 play football and 8 play both. How many play at least one of the two?
  12. 12.In a group of 51 children, 28 play chess, 23 play carrom and 11 play both. How many play only chess?
  13. 13.In a group of 41 children, 12 like mangoes, 23 like bananas and 8 like both. How many like neither of the two?
  14. 14.In a group of 49 children, 26 like mangoes, 26 like bananas and 10 like both. How many like exactly one of the two?
  15. 15.In a group of 43 children, 29 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 38 children, 12 play cricket, 24 play football and 6 play both. How many play exactly one of the two?
  17. 17.In a group of 40 children, 31 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing at least one of the two?
  18. 18.In a group of 29 children, 14 play chess, 21 play carrom and 9 play both. How many play only chess?
  19. 19.In a group of 24 children, 12 sing Hindi songs, 17 sing English songs and 6 sing both. How many sing neither of the two?
  20. 20.In a group of 34 children, 11 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing neither of the two?
  21. 21.In a group of 61 children, 31 play cricket, 29 play football and 12 play both. How many play only football?
  22. 22.In a group of 24 children, 11 play cricket, 12 play football and 4 play both. How many play exactly one of the two?
  23. 23.In a group of 33 grown-ups, 22 drink tea, 14 drink coffee and 10 drink both. How many drink at least one of the two?
  24. 24.In a group of 45 children, 21 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing at least one of the two?
  25. 25.In a group of 28 children, 10 like mangoes, 9 like bananas and 2 like both. How many like at least one of the two?
  26. 26.In a group of 19 children, 10 play chess, 9 play carrom and 2 play both. How many play only chess?
  27. 27.In a group of 54 children, 31 play chess, 31 play carrom and 11 play both. How many play only carrom?
  28. 28.In a group of 27 grown-ups, 13 drink tea, 17 drink coffee and 8 drink both. How many drink only tea?
  29. 29.In a group of 13 grown-ups, 8 drink tea, 6 drink coffee and 3 drink both. How many drink at least one of the two?
  30. 30.In a group of 35 children, 9 sing Hindi songs, 18 sing English songs and 6 sing both. How many sing exactly one of the two?
  31. 31.In a group of 48 grown-ups, 23 drink tea, 22 drink coffee and 12 drink both. How many drink at least one of the two?
  32. 32.In a group of 27 children, 13 play chess, 10 play carrom and 3 play both. How many play only carrom?
  33. 33.In a group of 59 children, 25 play cricket, 30 play football and 11 play both. How many play neither of the two?
  34. 34.In a group of 44 grown-ups, 19 drink tea, 23 drink coffee and 3 drink both. How many drink neither of the two?
  35. 35.In a group of 30 children, 13 sing Hindi songs, 18 sing English songs and 4 sing both. How many sing neither of the two?
  36. 36.In a group of 33 children, 15 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing only English songs?
  37. 37.In a group of 41 children, 18 play cricket, 21 play football and 3 play both. How many play only cricket?
  38. 38.In a group of 29 grown-ups, 23 drink tea, 12 drink coffee and 9 drink both. How many drink only tea?
  39. 39.In a group of 25 children, 12 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 37 children, 26 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing only Hindi songs?

Answer key

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

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