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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 115 · 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 35 grown-ups, 13 drink tea, 27 drink coffee and 9 drink both. How many drink exactly one of the two?
  2. 2.In a group of 20 children, 13 play cricket, 9 play football and 3 play both. How many play at least one of the two?
  3. 3.In a group of 40 children, 22 play chess, 15 play carrom and 7 play both. How many play only chess?
  4. 4.In a group of 34 children, 11 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  5. 5.In a group of 25 grown-ups, 8 drink tea, 5 drink coffee and 2 drink both. How many drink neither of the two?
  6. 6.In a group of 31 children, 21 play chess, 10 play carrom and 3 play both. How many play only chess?
  7. 7.In a group of 44 children, 19 play chess, 25 play carrom and 8 play both. How many play exactly one of the two?
  8. 8.In a group of 27 children, 17 play cricket, 13 play football and 10 play both. How many play only cricket?
  9. 9.In a group of 44 children, 22 play chess, 16 play carrom and 9 play both. How many play exactly one of the two?
  10. 10.In a group of 30 grown-ups, 22 drink tea, 13 drink coffee and 10 drink both. How many drink at least one of the two?
  11. 11.In a group of 36 children, 6 play cricket, 20 play football and 2 play both. How many play only cricket?
  12. 12.In a group of 57 children, 28 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 45 children, 25 play cricket, 14 play football and 5 play both. How many play neither of the two?
  14. 14.In a group of 44 children, 25 like mangoes, 15 like bananas and 6 like both. How many like at least one of the two?
  15. 15.In a group of 22 children, 5 play cricket, 6 play football and 2 play both. How many play at least one of the two?
  16. 16.In a group of 57 children, 30 like mangoes, 23 like bananas and 11 like both. How many like only bananas?
  17. 17.In a group of 43 children, 19 sing Hindi songs, 21 sing English songs and 9 sing both. How many sing at least one of the two?
  18. 18.In a group of 24 children, 14 play cricket, 10 play football and 2 play both. How many play only cricket?
  19. 19.In a group of 25 children, 10 like mangoes, 13 like bananas and 6 like both. How many like exactly one of the two?
  20. 20.In a group of 46 children, 19 play cricket, 21 play football and 9 play both. How many play at least one of the two?
  21. 21.In a group of 41 children, 16 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing neither of the two?
  22. 22.In a group of 23 children, 10 sing Hindi songs, 13 sing English songs and 5 sing both. How many sing only English songs?
  23. 23.In a group of 27 children, 22 like mangoes, 15 like bananas and 12 like both. How many like neither of the two?
  24. 24.In a group of 23 children, 16 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 38 children, 14 play chess, 18 play carrom and 2 play both. How many play only chess?
  26. 26.In a group of 27 grown-ups, 11 drink tea, 14 drink coffee and 7 drink both. How many drink only coffee?
  27. 27.In a group of 39 children, 15 play cricket, 12 play football and 2 play both. How many play only football?
  28. 28.In a group of 41 children, 20 play chess, 19 play carrom and 3 play both. How many play only carrom?
  29. 29.In a group of 31 children, 14 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  30. 30.In a group of 35 children, 7 play cricket, 23 play football and 4 play both. How many play only football?
  31. 31.In a group of 39 children, 30 play cricket, 18 play football and 10 play both. How many play only football?
  32. 32.In a group of 45 grown-ups, 17 drink tea, 24 drink coffee and 5 drink both. How many drink only coffee?
  33. 33.In a group of 35 grown-ups, 31 drink tea, 15 drink coffee and 12 drink both. How many drink only tea?
  34. 34.In a group of 51 children, 24 sing Hindi songs, 23 sing English songs and 9 sing both. How many sing only English songs?
  35. 35.In a group of 28 children, 16 like mangoes, 16 like bananas and 6 like both. How many like only bananas?
  36. 36.In a group of 54 children, 28 sing Hindi songs, 23 sing English songs and 10 sing both. How many sing at least one of the two?
  37. 37.In a group of 20 children, 13 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 33 children, 15 like mangoes, 14 like bananas and 2 like both. How many like at least one of the two?
  39. 39.In a group of 29 children, 13 like mangoes, 14 like bananas and 7 like both. How many like only bananas?
  40. 40.In a group of 28 grown-ups, 12 drink tea, 21 drink coffee and 9 drink both. How many drink at least one of the two?

Answer key

  1. 22
  2. 19
  3. 15
  4. 22
  5. 14
  6. 18
  7. 28
  8. 7
  9. 20
  10. 25
  11. 4
  12. 44
  13. 11
  14. 34
  15. 9
  16. 12
  17. 31
  18. 12
  19. 11
  20. 31
  21. 13
  22. 8
  23. 2
  24. 19
  25. 12
  26. 7
  27. 10
  28. 16
  29. 29
  30. 19
  31. 8
  32. 19
  33. 19
  34. 14
  35. 10
  36. 41
  37. 19
  38. 27
  39. 7
  40. 24

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