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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 123 · 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 31 grown-ups, 8 drink tea, 14 drink coffee and 4 drink both. How many drink only coffee?
  2. 2.In a group of 56 children, 30 sing Hindi songs, 25 sing English songs and 11 sing both. How many sing neither of the two?
  3. 3.In a group of 38 children, 13 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing neither of the two?
  4. 4.In a group of 33 children, 15 play chess, 7 play carrom and 2 play both. How many play only chess?
  5. 5.In a group of 22 children, 14 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing neither of the two?
  6. 6.In a group of 32 children, 13 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 38 children, 19 play cricket, 8 play football and 3 play both. How many play exactly one of the two?
  8. 8.In a group of 30 children, 19 play cricket, 13 play football and 4 play both. How many play exactly one of the two?
  9. 9.In a group of 51 grown-ups, 31 drink tea, 20 drink coffee and 11 drink both. How many drink only tea?
  10. 10.In a group of 29 children, 20 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  11. 11.In a group of 44 children, 22 like mangoes, 27 like bananas and 12 like both. How many like only bananas?
  12. 12.In a group of 48 children, 26 sing Hindi songs, 29 sing English songs and 11 sing both. How many sing only English songs?
  13. 13.In a group of 31 children, 17 play chess, 15 play carrom and 11 play both. How many play only carrom?
  14. 14.In a group of 43 grown-ups, 24 drink tea, 13 drink coffee and 6 drink both. How many drink only coffee?
  15. 15.In a group of 36 grown-ups, 15 drink tea, 27 drink coffee and 10 drink both. How many drink only tea?
  16. 16.In a group of 35 children, 26 play cricket, 17 play football and 10 play both. How many play only football?
  17. 17.In a group of 31 grown-ups, 9 drink tea, 24 drink coffee and 5 drink both. How many drink at least one of the two?
  18. 18.In a group of 41 children, 11 like mangoes, 22 like bananas and 4 like both. How many like only mangoes?
  19. 19.In a group of 33 children, 14 play cricket, 26 play football and 11 play both. How many play neither of the two?
  20. 20.In a group of 44 children, 23 sing Hindi songs, 18 sing English songs and 7 sing both. How many sing only English songs?
  21. 21.In a group of 34 grown-ups, 23 drink tea, 10 drink coffee and 4 drink both. How many drink only coffee?
  22. 22.In a group of 42 children, 9 play chess, 23 play carrom and 5 play both. How many play at least one of the two?
  23. 23.In a group of 56 grown-ups, 27 drink tea, 28 drink coffee and 11 drink both. How many drink only coffee?
  24. 24.In a group of 57 children, 29 play cricket, 28 play football and 12 play both. How many play only football?
  25. 25.In a group of 28 children, 8 like mangoes, 23 like bananas and 4 like both. How many like only mangoes?
  26. 26.In a group of 27 children, 19 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 40 children, 24 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing at least one of the two?
  28. 28.In a group of 44 grown-ups, 23 drink tea, 29 drink coffee and 11 drink both. How many drink neither of the two?
  29. 29.In a group of 46 children, 23 play cricket, 28 play football and 8 play both. How many play exactly one of the two?
  30. 30.In a group of 23 children, 8 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing at least one of the two?
  31. 31.In a group of 44 children, 23 play cricket, 17 play football and 8 play both. How many play only cricket?
  32. 32.In a group of 30 children, 15 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing at least one of the two?
  33. 33.In a group of 44 children, 23 like mangoes, 18 like bananas and 8 like both. How many like at least one of the two?
  34. 34.In a group of 51 children, 28 like mangoes, 19 like bananas and 10 like both. How many like neither of the two?
  35. 35.In a group of 44 children, 20 play chess, 30 play carrom and 11 play both. How many play only carrom?
  36. 36.In a group of 27 children, 10 play chess, 19 play carrom and 3 play both. How many play only carrom?
  37. 37.In a group of 29 children, 14 like mangoes, 17 like bananas and 9 like both. How many like at least one of the two?
  38. 38.In a group of 48 children, 21 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing at least one of the two?
  39. 39.In a group of 36 grown-ups, 15 drink tea, 24 drink coffee and 11 drink both. How many drink only tea?
  40. 40.In a group of 42 children, 18 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?

Answer key

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

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