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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 677 · 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 33 children, 18 like mangoes, 22 like bananas and 12 like both. How many like neither of the two?
  2. 2.In a group of 34 children, 16 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 31 children, 14 like mangoes, 18 like bananas and 2 like both. How many like only bananas?
  4. 4.In a group of 23 children, 9 play cricket, 7 play football and 2 play both. How many play exactly one of the two?
  5. 5.In a group of 21 children, 8 like mangoes, 10 like bananas and 2 like both. How many like neither of the two?
  6. 6.In a group of 22 children, 10 play cricket, 6 play football and 3 play both. How many play at least one of the two?
  7. 7.In a group of 48 children, 21 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 37 grown-ups, 16 drink tea, 16 drink coffee and 9 drink both. How many drink only tea?
  9. 9.In a group of 55 children, 30 play cricket, 27 play football and 10 play both. How many play exactly one of the two?
  10. 10.In a group of 36 children, 15 play cricket, 12 play football and 2 play both. How many play exactly one of the two?
  11. 11.In a group of 39 children, 19 play cricket, 24 play football and 12 play both. How many play only football?
  12. 12.In a group of 36 children, 21 play cricket, 25 play football and 11 play both. How many play neither of the two?
  13. 13.In a group of 35 children, 14 play cricket, 16 play football and 3 play both. How many play at least one of the two?
  14. 14.In a group of 47 children, 14 play chess, 31 play carrom and 11 play both. How many play neither of the two?
  15. 15.In a group of 51 children, 16 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 36 children, 19 play chess, 16 play carrom and 6 play both. How many play only carrom?
  17. 17.In a group of 46 children, 28 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing exactly one of the two?
  18. 18.In a group of 38 grown-ups, 23 drink tea, 8 drink coffee and 4 drink both. How many drink only coffee?
  19. 19.In a group of 36 children, 26 play cricket, 13 play football and 7 play both. How many play only cricket?
  20. 20.In a group of 29 grown-ups, 14 drink tea, 22 drink coffee and 9 drink both. How many drink at least one of the two?
  21. 21.In a group of 45 children, 21 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 28 grown-ups, 23 drink tea, 14 drink coffee and 10 drink both. How many drink only tea?
  23. 23.In a group of 45 children, 18 enjoy drawing, 31 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 34 grown-ups, 24 drink tea, 16 drink coffee and 12 drink both. How many drink only coffee?
  25. 25.In a group of 40 children, 23 play cricket, 8 play football and 4 play both. How many play at least one of the two?
  26. 26.In a group of 24 children, 12 like mangoes, 7 like bananas and 3 like both. How many like only bananas?
  27. 27.In a group of 41 children, 22 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  28. 28.In a group of 42 children, 20 play chess, 20 play carrom and 3 play both. How many play only carrom?
  29. 29.In a group of 30 children, 15 play cricket, 6 play football and 3 play both. How many play only cricket?
  30. 30.In a group of 39 children, 18 like mangoes, 16 like bananas and 5 like both. How many like exactly one of the two?
  31. 31.In a group of 35 children, 14 enjoy drawing, 26 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 31 children, 18 like mangoes, 7 like bananas and 4 like both. How many like neither of the two?
  33. 33.In a group of 37 children, 16 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 45 children, 15 like mangoes, 19 like bananas and 4 like both. How many like neither of the two?
  35. 35.In a group of 47 children, 18 like mangoes, 18 like bananas and 3 like both. How many like at least one of the two?
  36. 36.In a group of 34 grown-ups, 13 drink tea, 30 drink coffee and 10 drink both. How many drink only coffee?
  37. 37.In a group of 57 children, 25 enjoy drawing, 28 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 40 children, 14 play cricket, 19 play football and 8 play both. How many play only football?
  39. 39.In a group of 40 children, 24 like mangoes, 13 like bananas and 10 like both. How many like only bananas?
  40. 40.In a group of 38 children, 17 sing Hindi songs, 30 sing English songs and 11 sing both. How many sing neither of the two?

Answer key

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

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