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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 222 · 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 38 children, 18 play cricket, 22 play football and 11 play both. How many play only cricket?
  2. 2.In a group of 41 children, 29 play cricket, 17 play football and 10 play both. How many play exactly one of the two?
  3. 3.In a group of 48 grown-ups, 15 drink tea, 23 drink coffee and 4 drink both. How many drink only tea?
  4. 4.In a group of 38 children, 16 play cricket, 16 play football and 2 play both. How many play at least one of the two?
  5. 5.In a group of 32 children, 13 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  6. 6.In a group of 25 children, 10 like mangoes, 10 like bananas and 6 like both. How many like exactly one of the two?
  7. 7.In a group of 53 children, 25 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing exactly one of the two?
  8. 8.In a group of 56 children, 25 sing Hindi songs, 30 sing English songs and 12 sing both. How many sing neither of the two?
  9. 9.In a group of 27 children, 16 play cricket, 15 play football and 7 play both. How many play exactly one of the two?
  10. 10.In a group of 24 grown-ups, 11 drink tea, 16 drink coffee and 6 drink both. How many drink only coffee?
  11. 11.In a group of 50 children, 21 like mangoes, 29 like bananas and 9 like both. How many like at least one of the two?
  12. 12.In a group of 40 children, 15 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 36 grown-ups, 9 drink tea, 24 drink coffee and 6 drink both. How many drink neither of the two?
  14. 14.In a group of 21 children, 14 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing neither of the two?
  15. 15.In a group of 57 children, 22 enjoy drawing, 28 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  16. 16.In a group of 25 children, 8 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  17. 17.In a group of 30 children, 9 like mangoes, 18 like bananas and 5 like both. How many like exactly one of the two?
  18. 18.In a group of 45 children, 13 play cricket, 27 play football and 8 play both. How many play neither of the two?
  19. 19.In a group of 33 children, 26 like mangoes, 15 like bananas and 11 like both. How many like at least one of the two?
  20. 20.In a group of 42 children, 14 play cricket, 23 play football and 9 play both. How many play at least one of the two?
  21. 21.In a group of 43 children, 16 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 30 grown-ups, 13 drink tea, 17 drink coffee and 8 drink both. How many drink neither of the two?
  23. 23.In a group of 16 children, 8 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing neither of the two?
  24. 24.In a group of 28 children, 17 play chess, 15 play carrom and 5 play both. How many play neither of the two?
  25. 25.In a group of 28 children, 14 play chess, 16 play carrom and 6 play both. How many play at least one of the two?
  26. 26.In a group of 31 children, 19 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 41 children, 17 play cricket, 23 play football and 11 play both. How many play neither of the two?
  28. 28.In a group of 43 grown-ups, 22 drink tea, 18 drink coffee and 11 drink both. How many drink exactly one of the two?
  29. 29.In a group of 47 children, 21 enjoy drawing, 22 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 54 children, 28 like mangoes, 28 like bananas and 11 like both. How many like exactly one of the two?
  31. 31.In a group of 40 children, 14 play chess, 23 play carrom and 7 play both. How many play only carrom?
  32. 32.In a group of 34 children, 13 like mangoes, 17 like bananas and 5 like both. How many like exactly one of the two?
  33. 33.In a group of 47 children, 18 play chess, 26 play carrom and 12 play both. How many play only chess?
  34. 34.In a group of 54 children, 25 play cricket, 21 play football and 6 play both. How many play neither of the two?
  35. 35.In a group of 40 children, 25 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 38 children, 15 play cricket, 18 play football and 5 play both. How many play exactly one of the two?
  37. 37.In a group of 49 grown-ups, 24 drink tea, 22 drink coffee and 12 drink both. How many drink only coffee?
  38. 38.In a group of 58 children, 30 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing only English songs?
  39. 39.In a group of 43 children, 21 like mangoes, 20 like bananas and 9 like both. How many like exactly one of the two?
  40. 40.In a group of 52 children, 28 play cricket, 25 play football and 8 play both. How many play exactly one of the two?

Answer key

  1. 7
  2. 26
  3. 11
  4. 30
  5. 19
  6. 8
  7. 28
  8. 13
  9. 17
  10. 10
  11. 41
  12. 4
  13. 9
  14. 3
  15. 42
  16. 18
  17. 17
  18. 13
  19. 30
  20. 28
  21. 14
  22. 8
  23. 2
  24. 1
  25. 24
  26. 3
  27. 12
  28. 18
  29. 14
  30. 34
  31. 16
  32. 20
  33. 6
  34. 14
  35. 19
  36. 23
  37. 10
  38. 20
  39. 23
  40. 37

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