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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 39 · 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, 6 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  2. 2.In a group of 38 children, 14 play cricket, 21 play football and 7 play both. How many play neither of the two?
  3. 3.In a group of 27 children, 15 play chess, 6 play carrom and 2 play both. How many play only carrom?
  4. 4.In a group of 46 children, 31 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  5. 5.In a group of 43 children, 18 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 41 grown-ups, 6 drink tea, 22 drink coffee and 2 drink both. How many drink only coffee?
  7. 7.In a group of 25 children, 14 play cricket, 12 play football and 7 play both. How many play only cricket?
  8. 8.In a group of 50 grown-ups, 18 drink tea, 26 drink coffee and 8 drink both. How many drink at least one of the two?
  9. 9.In a group of 30 grown-ups, 11 drink tea, 19 drink coffee and 8 drink both. How many drink exactly one of the two?
  10. 10.In a group of 28 children, 13 play cricket, 19 play football and 7 play both. How many play neither of the two?
  11. 11.In a group of 45 children, 18 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 39 children, 12 play chess, 22 play carrom and 5 play both. How many play neither of the two?
  13. 13.In a group of 37 children, 24 like mangoes, 22 like bananas and 11 like both. How many like exactly one of the two?
  14. 14.In a group of 47 children, 22 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  15. 15.In a group of 30 children, 17 sing Hindi songs, 14 sing English songs and 3 sing both. How many sing neither of the two?
  16. 16.In a group of 42 grown-ups, 26 drink tea, 13 drink coffee and 9 drink both. How many drink only tea?
  17. 17.In a group of 30 children, 7 play cricket, 14 play football and 3 play both. How many play neither of the two?
  18. 18.In a group of 51 children, 27 like mangoes, 28 like bananas and 10 like both. How many like only bananas?
  19. 19.In a group of 40 children, 25 play cricket, 12 play football and 8 play both. How many play neither of the two?
  20. 20.In a group of 43 grown-ups, 17 drink tea, 29 drink coffee and 9 drink both. How many drink exactly one of the two?
  21. 21.In a group of 46 children, 24 play cricket, 25 play football and 7 play both. How many play neither of the two?
  22. 22.In a group of 54 grown-ups, 22 drink tea, 22 drink coffee and 3 drink both. How many drink only coffee?
  23. 23.In a group of 49 children, 25 like mangoes, 26 like bananas and 8 like both. How many like only mangoes?
  24. 24.In a group of 44 grown-ups, 18 drink tea, 25 drink coffee and 5 drink both. How many drink exactly one of the two?
  25. 25.In a group of 32 grown-ups, 9 drink tea, 19 drink coffee and 5 drink both. How many drink at least one of the two?
  26. 26.In a group of 26 children, 14 play cricket, 6 play football and 2 play both. How many play at least one of the two?
  27. 27.In a group of 31 children, 17 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  28. 28.In a group of 38 children, 21 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing at least one of the two?
  29. 29.In a group of 60 children, 29 play cricket, 28 play football and 12 play both. How many play at least one of the two?
  30. 30.In a group of 30 children, 11 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing only Hindi songs?
  31. 31.In a group of 34 children, 13 sing Hindi songs, 25 sing English songs and 7 sing both. How many sing neither of the two?
  32. 32.In a group of 51 children, 32 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 49 children, 27 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  34. 34.In a group of 28 children, 10 play chess, 8 play carrom and 5 play both. How many play neither of the two?
  35. 35.In a group of 36 grown-ups, 16 drink tea, 23 drink coffee and 9 drink both. How many drink neither of the two?
  36. 36.In a group of 43 children, 23 play cricket, 30 play football and 12 play both. How many play only cricket?
  37. 37.In a group of 25 children, 13 play chess, 13 play carrom and 5 play both. How many play only carrom?
  38. 38.In a group of 37 children, 25 enjoy drawing, 17 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 32 children, 21 play chess, 6 play carrom and 2 play both. How many play neither of the two?
  40. 40.In a group of 36 grown-ups, 19 drink tea, 11 drink coffee and 4 drink both. How many drink only tea?

Answer key

  1. 19
  2. 10
  3. 4
  4. 38
  5. 28
  6. 20
  7. 7
  8. 36
  9. 14
  10. 3
  11. 16
  12. 10
  13. 24
  14. 8
  15. 2
  16. 17
  17. 12
  18. 18
  19. 11
  20. 28
  21. 4
  22. 19
  23. 17
  24. 33
  25. 23
  26. 18
  27. 9
  28. 31
  29. 45
  30. 5
  31. 3
  32. 20
  33. 8
  34. 15
  35. 6
  36. 11
  37. 8
  38. 7
  39. 7
  40. 15

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