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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 404 · 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 26 children, 11 play cricket, 14 play football and 3 play both. How many play only cricket?
  2. 2.In a group of 47 children, 25 play cricket, 20 play football and 7 play both. How many play only cricket?
  3. 3.In a group of 32 children, 14 play chess, 15 play carrom and 9 play both. How many play only carrom?
  4. 4.In a group of 42 children, 17 like mangoes, 13 like bananas and 3 like both. How many like neither of the two?
  5. 5.In a group of 38 children, 18 like mangoes, 25 like bananas and 7 like both. How many like at least one of the two?
  6. 6.In a group of 45 children, 15 like mangoes, 23 like bananas and 5 like both. How many like only mangoes?
  7. 7.In a group of 37 grown-ups, 13 drink tea, 11 drink coffee and 2 drink both. How many drink only coffee?
  8. 8.In a group of 30 grown-ups, 17 drink tea, 19 drink coffee and 12 drink both. How many drink exactly one of the two?
  9. 9.In a group of 21 children, 9 like mangoes, 12 like bananas and 2 like both. How many like only mangoes?
  10. 10.In a group of 45 children, 21 like mangoes, 18 like bananas and 4 like both. How many like only bananas?
  11. 11.In a group of 36 children, 18 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 44 children, 22 play chess, 22 play carrom and 2 play both. How many play exactly one of the two?
  13. 13.In a group of 23 children, 12 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing neither of the two?
  14. 14.In a group of 40 children, 20 play cricket, 17 play football and 5 play both. How many play at least one of the two?
  15. 15.In a group of 41 children, 20 play cricket, 14 play football and 8 play both. How many play exactly one of the two?
  16. 16.In a group of 50 children, 23 play cricket, 25 play football and 7 play both. How many play only cricket?
  17. 17.In a group of 19 children, 6 play chess, 13 play carrom and 3 play both. How many play exactly one of the two?
  18. 18.In a group of 40 children, 17 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 39 children, 19 play cricket, 16 play football and 4 play both. How many play at least one of the two?
  20. 20.In a group of 39 children, 22 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing only English songs?
  21. 21.In a group of 25 grown-ups, 16 drink tea, 16 drink coffee and 9 drink both. How many drink exactly one of the two?
  22. 22.In a group of 31 children, 17 play chess, 9 play carrom and 6 play both. How many play only chess?
  23. 23.In a group of 37 children, 23 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing exactly one of the two?
  24. 24.In a group of 37 children, 20 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 52 grown-ups, 26 drink tea, 28 drink coffee and 12 drink both. How many drink only coffee?
  26. 26.In a group of 41 children, 11 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing only Hindi songs?
  27. 27.In a group of 38 children, 21 play cricket, 21 play football and 11 play both. How many play only football?
  28. 28.In a group of 34 children, 21 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 46 children, 22 like mangoes, 21 like bananas and 9 like both. How many like only bananas?
  30. 30.In a group of 54 children, 30 like mangoes, 23 like bananas and 11 like both. How many like exactly one of the two?
  31. 31.In a group of 28 grown-ups, 21 drink tea, 16 drink coffee and 12 drink both. How many drink only coffee?
  32. 32.In a group of 45 children, 20 like mangoes, 18 like bananas and 7 like both. How many like at least one of the two?
  33. 33.In a group of 60 children, 27 sing Hindi songs, 27 sing English songs and 7 sing both. How many sing at least one of the two?
  34. 34.In a group of 33 grown-ups, 20 drink tea, 13 drink coffee and 4 drink both. How many drink neither of the two?
  35. 35.In a group of 41 grown-ups, 21 drink tea, 15 drink coffee and 6 drink both. How many drink only coffee?
  36. 36.In a group of 30 children, 14 play cricket, 11 play football and 6 play both. How many play neither of the two?
  37. 37.In a group of 30 children, 16 play cricket, 15 play football and 4 play both. How many play neither of the two?
  38. 38.In a group of 32 children, 25 play chess, 13 play carrom and 7 play both. How many play only carrom?
  39. 39.In a group of 41 children, 9 play cricket, 24 play football and 4 play both. How many play only cricket?
  40. 40.In a group of 24 children, 9 play chess, 9 play carrom and 2 play both. How many play exactly one of the two?

Answer key

  1. 8
  2. 18
  3. 6
  4. 15
  5. 36
  6. 10
  7. 9
  8. 12
  9. 7
  10. 14
  11. 24
  12. 40
  13. 3
  14. 32
  15. 18
  16. 16
  17. 13
  18. 14
  19. 31
  20. 12
  21. 14
  22. 11
  23. 24
  24. 13
  25. 16
  26. 8
  27. 10
  28. 1
  29. 12
  30. 31
  31. 4
  32. 31
  33. 47
  34. 4
  35. 9
  36. 11
  37. 3
  38. 6
  39. 5
  40. 14

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