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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 72 · 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 34 children, 8 play cricket, 24 play football and 5 play both. How many play exactly one of the two?
  2. 2.In a group of 49 children, 14 play cricket, 22 play football and 2 play both. How many play at least one of the two?
  3. 3.In a group of 34 children, 20 play cricket, 22 play football and 12 play both. How many play neither of the two?
  4. 4.In a group of 38 children, 25 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing at least one of the two?
  5. 5.In a group of 48 children, 21 sing Hindi songs, 17 sing English songs and 2 sing both. How many sing neither of the two?
  6. 6.In a group of 29 children, 11 play cricket, 10 play football and 2 play both. How many play neither of the two?
  7. 7.In a group of 29 children, 13 like mangoes, 24 like bananas and 10 like both. How many like only bananas?
  8. 8.In a group of 32 children, 7 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  9. 9.In a group of 28 children, 18 play cricket, 17 play football and 12 play both. How many play exactly one of the two?
  10. 10.In a group of 45 children, 13 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing neither of the two?
  11. 11.In a group of 42 children, 19 sing Hindi songs, 19 sing English songs and 6 sing both. How many sing only English songs?
  12. 12.In a group of 40 children, 22 play cricket, 6 play football and 3 play both. How many play exactly one of the two?
  13. 13.In a group of 18 grown-ups, 13 drink tea, 8 drink coffee and 4 drink both. How many drink at least one of the two?
  14. 14.In a group of 60 children, 28 play chess, 28 play carrom and 11 play both. How many play neither of the two?
  15. 15.In a group of 35 children, 18 like mangoes, 8 like bananas and 2 like both. How many like at least one of the two?
  16. 16.In a group of 37 children, 11 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  17. 17.In a group of 37 children, 20 play cricket, 19 play football and 6 play both. How many play neither of the two?
  18. 18.In a group of 31 grown-ups, 18 drink tea, 15 drink coffee and 10 drink both. How many drink at least one of the two?
  19. 19.In a group of 27 children, 14 play chess, 12 play carrom and 6 play both. How many play at least one of the two?
  20. 20.In a group of 38 children, 22 play cricket, 19 play football and 10 play both. How many play neither of the two?
  21. 21.In a group of 32 children, 13 enjoy drawing, 20 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 18 children, 6 play chess, 9 play carrom and 2 play both. How many play exactly one of the two?
  23. 23.In a group of 33 children, 12 like mangoes, 11 like bananas and 5 like both. How many like at least one of the two?
  24. 24.In a group of 43 children, 27 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  25. 25.In a group of 31 children, 14 like mangoes, 6 like bananas and 2 like both. How many like exactly one of the two?
  26. 26.In a group of 42 children, 31 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 53 children, 29 play chess, 19 play carrom and 10 play both. How many play neither of the two?
  28. 28.In a group of 50 children, 24 like mangoes, 20 like bananas and 9 like both. How many like only bananas?
  29. 29.In a group of 27 children, 16 play chess, 13 play carrom and 7 play both. How many play only chess?
  30. 30.In a group of 18 children, 8 like mangoes, 11 like bananas and 3 like both. How many like only mangoes?
  31. 31.In a group of 36 children, 17 like mangoes, 24 like bananas and 10 like both. How many like only mangoes?
  32. 32.In a group of 48 children, 28 play chess, 19 play carrom and 12 play both. How many play only carrom?
  33. 33.In a group of 30 children, 10 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 38 children, 19 play cricket, 13 play football and 2 play both. How many play at least one of the two?
  35. 35.In a group of 27 grown-ups, 12 drink tea, 13 drink coffee and 7 drink both. How many drink neither of the two?
  36. 36.In a group of 45 children, 24 enjoy drawing, 21 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 31 grown-ups, 13 drink tea, 21 drink coffee and 7 drink both. How many drink only coffee?
  38. 38.In a group of 47 children, 21 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only Hindi songs?
  39. 39.In a group of 44 grown-ups, 25 drink tea, 16 drink coffee and 8 drink both. How many drink neither of the two?
  40. 40.In a group of 39 children, 13 play cricket, 17 play football and 3 play both. How many play only cricket?

Answer key

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

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