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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 261 · 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 40 children, 22 like mangoes, 9 like bananas and 3 like both. How many like at least one of the two?
  2. 2.In a group of 51 children, 27 enjoy drawing, 23 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 31 children, 19 play cricket, 11 play football and 8 play both. How many play only football?
  4. 4.In a group of 34 children, 21 play cricket, 5 play football and 2 play both. How many play at least one of the two?
  5. 5.In a group of 32 children, 21 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 41 children, 25 play cricket, 15 play football and 6 play both. How many play exactly one of the two?
  7. 7.In a group of 23 children, 6 play cricket, 15 play football and 2 play both. How many play exactly one of the two?
  8. 8.In a group of 26 children, 11 sing Hindi songs, 19 sing English songs and 8 sing both. How many sing neither of the two?
  9. 9.In a group of 50 children, 24 play cricket, 22 play football and 10 play both. How many play only cricket?
  10. 10.In a group of 44 children, 21 play cricket, 23 play football and 5 play both. How many play only cricket?
  11. 11.In a group of 49 children, 18 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing only Hindi songs?
  12. 12.In a group of 29 grown-ups, 15 drink tea, 22 drink coffee and 9 drink both. How many drink only coffee?
  13. 13.In a group of 27 grown-ups, 12 drink tea, 19 drink coffee and 8 drink both. How many drink at least one of the two?
  14. 14.In a group of 40 grown-ups, 8 drink tea, 23 drink coffee and 3 drink both. How many drink only coffee?
  15. 15.In a group of 49 children, 24 play cricket, 32 play football and 12 play both. How many play only football?
  16. 16.In a group of 40 grown-ups, 17 drink tea, 31 drink coffee and 11 drink both. How many drink only coffee?
  17. 17.In a group of 37 children, 11 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing exactly one of the two?
  18. 18.In a group of 40 children, 12 like mangoes, 22 like bananas and 4 like both. How many like neither of the two?
  19. 19.In a group of 38 grown-ups, 14 drink tea, 24 drink coffee and 8 drink both. How many drink neither of the two?
  20. 20.In a group of 37 children, 17 play cricket, 21 play football and 5 play both. How many play at least one of the two?
  21. 21.In a group of 31 grown-ups, 8 drink tea, 21 drink coffee and 4 drink both. How many drink only coffee?
  22. 22.In a group of 24 children, 14 play cricket, 16 play football and 7 play both. How many play at least one of the two?
  23. 23.In a group of 36 grown-ups, 23 drink tea, 13 drink coffee and 7 drink both. How many drink only tea?
  24. 24.In a group of 29 children, 23 play cricket, 11 play football and 8 play both. How many play neither of the two?
  25. 25.In a group of 45 children, 10 play chess, 24 play carrom and 4 play both. How many play exactly one of the two?
  26. 26.In a group of 43 children, 13 play cricket, 28 play football and 9 play both. How many play only cricket?
  27. 27.In a group of 30 children, 20 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  28. 28.In a group of 60 children, 30 play chess, 29 play carrom and 10 play both. How many play at least one of the two?
  29. 29.In a group of 36 grown-ups, 23 drink tea, 15 drink coffee and 10 drink both. How many drink neither of the two?
  30. 30.In a group of 25 children, 7 play cricket, 20 play football and 3 play both. How many play only football?
  31. 31.In a group of 52 children, 20 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 26 children, 17 play chess, 16 play carrom and 8 play both. How many play only carrom?
  33. 33.In a group of 42 children, 22 enjoy drawing, 16 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 39 grown-ups, 21 drink tea, 17 drink coffee and 3 drink both. How many drink exactly one of the two?
  35. 35.In a group of 49 children, 25 sing Hindi songs, 26 sing English songs and 7 sing both. How many sing only Hindi songs?
  36. 36.In a group of 30 children, 14 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing neither of the two?
  37. 37.In a group of 24 children, 12 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 47 children, 26 like mangoes, 21 like bananas and 8 like both. How many like at least one of the two?
  39. 39.In a group of 49 children, 18 play cricket, 28 play football and 11 play both. How many play only football?
  40. 40.In a group of 33 children, 21 play chess, 17 play carrom and 7 play both. How many play only carrom?

Answer key

  1. 28
  2. 42
  3. 3
  4. 24
  5. 15
  6. 28
  7. 17
  8. 4
  9. 14
  10. 16
  11. 6
  12. 13
  13. 23
  14. 20
  15. 20
  16. 20
  17. 24
  18. 10
  19. 8
  20. 33
  21. 17
  22. 23
  23. 16
  24. 3
  25. 26
  26. 4
  27. 5
  28. 49
  29. 8
  30. 17
  31. 15
  32. 8
  33. 24
  34. 32
  35. 18
  36. 13
  37. 19
  38. 39
  39. 17
  40. 10

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