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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 313 · 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 children, 17 like mangoes, 21 like bananas and 11 like both. How many like neither of the two?
  2. 2.In a group of 33 children, 15 like mangoes, 13 like bananas and 10 like both. How many like neither of the two?
  3. 3.In a group of 37 children, 19 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 27 children, 15 play cricket, 15 play football and 12 play both. How many play only football?
  5. 5.In a group of 29 children, 18 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing only English songs?
  6. 6.In a group of 42 children, 26 play chess, 14 play carrom and 7 play both. How many play only carrom?
  7. 7.In a group of 37 children, 9 play cricket, 21 play football and 5 play both. How many play at least one of the two?
  8. 8.In a group of 24 children, 13 play cricket, 6 play football and 2 play both. How many play neither of the two?
  9. 9.In a group of 36 grown-ups, 17 drink tea, 19 drink coffee and 11 drink both. How many drink only coffee?
  10. 10.In a group of 42 children, 18 like mangoes, 27 like bananas and 7 like both. How many like exactly one of the two?
  11. 11.In a group of 28 children, 10 play chess, 20 play carrom and 7 play both. How many play only carrom?
  12. 12.In a group of 58 children, 24 like mangoes, 24 like bananas and 5 like both. How many like only mangoes?
  13. 13.In a group of 27 grown-ups, 11 drink tea, 10 drink coffee and 3 drink both. How many drink at least one of the two?
  14. 14.In a group of 36 children, 25 play chess, 13 play carrom and 10 play both. How many play only carrom?
  15. 15.In a group of 56 grown-ups, 27 drink tea, 29 drink coffee and 12 drink both. How many drink at least one of the two?
  16. 16.In a group of 35 children, 13 like mangoes, 22 like bananas and 6 like both. How many like neither of the two?
  17. 17.In a group of 36 children, 17 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only Hindi songs?
  18. 18.In a group of 27 children, 8 play cricket, 13 play football and 2 play both. How many play only cricket?
  19. 19.In a group of 35 grown-ups, 16 drink tea, 20 drink coffee and 4 drink both. How many drink at least one of the two?
  20. 20.In a group of 37 children, 12 play cricket, 26 play football and 6 play both. How many play at least one of the two?
  21. 21.In a group of 43 children, 14 enjoy drawing, 22 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 42 children, 21 play cricket, 17 play football and 5 play both. How many play at least one of the two?
  23. 23.In a group of 51 children, 26 play cricket, 19 play football and 6 play both. How many play only football?
  24. 24.In a group of 49 grown-ups, 20 drink tea, 24 drink coffee and 6 drink both. How many drink only coffee?
  25. 25.In a group of 39 children, 26 sing Hindi songs, 23 sing English songs and 12 sing both. How many sing neither of the two?
  26. 26.In a group of 28 children, 10 play chess, 24 play carrom and 7 play both. How many play at least one of the two?
  27. 27.In a group of 25 children, 15 play cricket, 16 play football and 9 play both. How many play only football?
  28. 28.In a group of 37 children, 17 enjoy drawing, 22 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 58 children, 29 like mangoes, 29 like bananas and 12 like both. How many like only bananas?
  30. 30.In a group of 29 children, 15 like mangoes, 11 like bananas and 5 like both. How many like neither of the two?
  31. 31.In a group of 28 children, 14 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing only English songs?
  32. 32.In a group of 51 children, 23 like mangoes, 28 like bananas and 8 like both. How many like at least one of the two?
  33. 33.In a group of 24 children, 15 enjoy drawing, 17 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 38 children, 14 play cricket, 28 play football and 11 play both. How many play neither of the two?
  35. 35.In a group of 36 children, 11 enjoy drawing, 26 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  36. 36.In a group of 20 children, 7 sing Hindi songs, 14 sing English songs and 3 sing both. How many sing only English songs?
  37. 37.In a group of 28 children, 17 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing exactly one of the two?
  38. 38.In a group of 20 children, 13 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 58 children, 30 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 32 children, 9 play cricket, 17 play football and 3 play both. How many play neither of the two?

Answer key

  1. 4
  2. 15
  3. 23
  4. 3
  5. 7
  6. 7
  7. 25
  8. 7
  9. 8
  10. 31
  11. 13
  12. 19
  13. 18
  14. 3
  15. 44
  16. 6
  17. 14
  18. 6
  19. 32
  20. 32
  21. 15
  22. 33
  23. 13
  24. 18
  25. 2
  26. 27
  27. 7
  28. 13
  29. 17
  30. 8
  31. 3
  32. 43
  33. 20
  34. 7
  35. 7
  36. 11
  37. 15
  38. 4
  39. 10
  40. 9

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