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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 477 · 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 29 children, 17 sing Hindi songs, 15 sing English songs and 7 sing both. How many sing neither of the two?
  2. 2.In a group of 38 children, 21 play cricket, 13 play football and 9 play both. How many play only cricket?
  3. 3.In a group of 30 grown-ups, 9 drink tea, 21 drink coffee and 4 drink both. How many drink only coffee?
  4. 4.In a group of 42 grown-ups, 23 drink tea, 23 drink coffee and 6 drink both. How many drink neither of the two?
  5. 5.In a group of 20 children, 12 play cricket, 6 play football and 2 play both. How many play only football?
  6. 6.In a group of 43 children, 18 play chess, 20 play carrom and 8 play both. How many play neither of the two?
  7. 7.In a group of 43 children, 14 play cricket, 22 play football and 3 play both. How many play only cricket?
  8. 8.In a group of 38 children, 17 play chess, 23 play carrom and 8 play both. How many play only carrom?
  9. 9.In a group of 29 children, 23 like mangoes, 10 like bananas and 6 like both. How many like neither of the two?
  10. 10.In a group of 34 children, 8 play cricket, 17 play football and 5 play both. How many play neither of the two?
  11. 11.In a group of 39 children, 9 play chess, 23 play carrom and 5 play both. How many play only carrom?
  12. 12.In a group of 32 children, 15 play cricket, 13 play football and 7 play both. How many play at least one of the two?
  13. 13.In a group of 24 grown-ups, 20 drink tea, 13 drink coffee and 10 drink both. How many drink only tea?
  14. 14.In a group of 42 children, 17 enjoy drawing, 23 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  15. 15.In a group of 38 children, 19 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  16. 16.In a group of 48 children, 24 play cricket, 30 play football and 10 play both. How many play exactly one of the two?
  17. 17.In a group of 40 children, 15 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 27 children, 16 play cricket, 16 play football and 8 play both. How many play only cricket?
  19. 19.In a group of 28 children, 18 sing Hindi songs, 16 sing English songs and 9 sing both. How many sing only Hindi songs?
  20. 20.In a group of 44 children, 13 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only English songs?
  21. 21.In a group of 34 children, 26 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 35 grown-ups, 18 drink tea, 19 drink coffee and 11 drink both. How many drink at least one of the two?
  23. 23.In a group of 45 grown-ups, 14 drink tea, 22 drink coffee and 4 drink both. How many drink exactly one of the two?
  24. 24.In a group of 24 grown-ups, 11 drink tea, 8 drink coffee and 2 drink both. How many drink exactly one of the two?
  25. 25.In a group of 30 children, 21 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing at least one of the two?
  26. 26.In a group of 51 children, 28 play chess, 27 play carrom and 9 play both. How many play only chess?
  27. 27.In a group of 28 grown-ups, 19 drink tea, 19 drink coffee and 12 drink both. How many drink neither of the two?
  28. 28.In a group of 33 children, 14 play chess, 20 play carrom and 2 play both. How many play at least one of the two?
  29. 29.In a group of 33 children, 17 play chess, 25 play carrom and 12 play both. How many play only carrom?
  30. 30.In a group of 34 children, 13 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 36 children, 22 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing only Hindi songs?
  32. 32.In a group of 48 children, 22 play chess, 28 play carrom and 10 play both. How many play only chess?
  33. 33.In a group of 46 grown-ups, 22 drink tea, 20 drink coffee and 3 drink both. How many drink only tea?
  34. 34.In a group of 36 grown-ups, 21 drink tea, 19 drink coffee and 11 drink both. How many drink neither of the two?
  35. 35.In a group of 54 grown-ups, 21 drink tea, 24 drink coffee and 5 drink both. How many drink neither of the two?
  36. 36.In a group of 49 children, 25 play cricket, 27 play football and 12 play both. How many play only cricket?
  37. 37.In a group of 41 grown-ups, 19 drink tea, 13 drink coffee and 2 drink both. How many drink only coffee?
  38. 38.In a group of 35 grown-ups, 17 drink tea, 14 drink coffee and 10 drink both. How many drink at least one of the two?
  39. 39.In a group of 40 children, 13 play cricket, 26 play football and 7 play both. How many play exactly one of the two?
  40. 40.In a group of 51 children, 26 play cricket, 23 play football and 11 play both. How many play exactly one of the two?

Answer key

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

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