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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 672 · 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 36 children, 13 play chess, 19 play carrom and 8 play both. How many play neither of the two?
  2. 2.In a group of 47 grown-ups, 21 drink tea, 21 drink coffee and 4 drink both. How many drink neither of the two?
  3. 3.In a group of 32 children, 14 play cricket, 10 play football and 7 play both. How many play at least one of the two?
  4. 4.In a group of 36 children, 16 like mangoes, 24 like bananas and 7 like both. How many like only mangoes?
  5. 5.In a group of 41 children, 12 like mangoes, 16 like bananas and 2 like both. How many like neither of the two?
  6. 6.In a group of 44 children, 22 play cricket, 16 play football and 9 play both. How many play exactly one of the two?
  7. 7.In a group of 23 children, 12 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 35 children, 19 play cricket, 25 play football and 11 play both. How many play only football?
  9. 9.In a group of 23 grown-ups, 6 drink tea, 18 drink coffee and 2 drink both. How many drink only coffee?
  10. 10.In a group of 49 grown-ups, 31 drink tea, 25 drink coffee and 11 drink both. How many drink only tea?
  11. 11.In a group of 22 children, 13 play chess, 6 play carrom and 3 play both. How many play only chess?
  12. 12.In a group of 41 children, 9 play cricket, 22 play football and 5 play both. How many play only cricket?
  13. 13.In a group of 39 grown-ups, 17 drink tea, 18 drink coffee and 8 drink both. How many drink at least one of the two?
  14. 14.In a group of 31 children, 11 like mangoes, 22 like bananas and 3 like both. How many like neither of the two?
  15. 15.In a group of 44 children, 26 play chess, 22 play carrom and 12 play both. How many play only carrom?
  16. 16.In a group of 17 children, 11 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing exactly one of the two?
  17. 17.In a group of 41 grown-ups, 15 drink tea, 27 drink coffee and 8 drink both. How many drink neither of the two?
  18. 18.In a group of 27 children, 22 like mangoes, 8 like bananas and 5 like both. How many like at least one of the two?
  19. 19.In a group of 40 children, 18 like mangoes, 25 like bananas and 12 like both. How many like at least one of the two?
  20. 20.In a group of 57 children, 22 like mangoes, 31 like bananas and 11 like both. How many like at least one of the two?
  21. 21.In a group of 34 children, 17 play cricket, 13 play football and 8 play both. How many play neither of the two?
  22. 22.In a group of 35 children, 9 play cricket, 18 play football and 3 play both. How many play at least one of the two?
  23. 23.In a group of 32 children, 6 play chess, 18 play carrom and 3 play both. How many play exactly one of the two?
  24. 24.In a group of 54 grown-ups, 28 drink tea, 27 drink coffee and 11 drink both. How many drink neither of the two?
  25. 25.In a group of 25 children, 7 play cricket, 14 play football and 4 play both. How many play neither of the two?
  26. 26.In a group of 31 grown-ups, 24 drink tea, 18 drink coffee and 12 drink both. How many drink only coffee?
  27. 27.In a group of 40 children, 13 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 36 children, 23 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 48 children, 23 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 41 children, 25 play cricket, 13 play football and 6 play both. How many play exactly one of the two?
  31. 31.In a group of 42 children, 21 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing neither of the two?
  32. 32.In a group of 41 grown-ups, 19 drink tea, 27 drink coffee and 11 drink both. How many drink only coffee?
  33. 33.In a group of 37 grown-ups, 18 drink tea, 21 drink coffee and 4 drink both. How many drink only coffee?
  34. 34.In a group of 44 children, 21 like mangoes, 19 like bananas and 6 like both. How many like only mangoes?
  35. 35.In a group of 57 grown-ups, 29 drink tea, 30 drink coffee and 11 drink both. How many drink only coffee?
  36. 36.In a group of 36 children, 10 play cricket, 17 play football and 6 play both. How many play at least one of the two?
  37. 37.In a group of 31 children, 13 play chess, 23 play carrom and 8 play both. How many play only chess?
  38. 38.In a group of 42 grown-ups, 22 drink tea, 20 drink coffee and 11 drink both. How many drink only tea?
  39. 39.In a group of 34 children, 23 sing Hindi songs, 17 sing English songs and 8 sing both. How many sing at least one of the two?
  40. 40.In a group of 38 children, 17 like mangoes, 24 like bananas and 4 like both. How many like only mangoes?

Answer key

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

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