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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 46 · 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 47 grown-ups, 21 drink tea, 15 drink coffee and 3 drink both. How many drink at least one of the two?
  2. 2.In a group of 45 children, 16 play chess, 26 play carrom and 12 play both. How many play exactly one of the two?
  3. 3.In a group of 34 children, 9 play chess, 23 play carrom and 6 play both. How many play exactly one of the two?
  4. 4.In a group of 32 children, 11 play cricket, 23 play football and 4 play both. How many play exactly one of the two?
  5. 5.In a group of 37 grown-ups, 21 drink tea, 18 drink coffee and 6 drink both. How many drink at least one of the two?
  6. 6.In a group of 29 children, 16 like mangoes, 22 like bananas and 12 like both. How many like exactly one of the two?
  7. 7.In a group of 48 children, 24 sing Hindi songs, 26 sing English songs and 10 sing both. How many sing at least one of the two?
  8. 8.In a group of 45 children, 22 like mangoes, 23 like bananas and 8 like both. How many like only bananas?
  9. 9.In a group of 34 children, 25 play cricket, 18 play football and 12 play both. How many play only football?
  10. 10.In a group of 41 children, 13 play cricket, 22 play football and 4 play both. How many play exactly one of the two?
  11. 11.In a group of 62 children, 31 sing Hindi songs, 30 sing English songs and 12 sing both. How many sing only English songs?
  12. 12.In a group of 44 children, 23 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 44 children, 20 play cricket, 26 play football and 8 play both. How many play exactly one of the two?
  14. 14.In a group of 29 grown-ups, 16 drink tea, 10 drink coffee and 3 drink both. How many drink only tea?
  15. 15.In a group of 28 children, 13 play chess, 18 play carrom and 6 play both. How many play only chess?
  16. 16.In a group of 38 children, 24 play cricket, 21 play football and 11 play both. How many play exactly one of the two?
  17. 17.In a group of 51 grown-ups, 28 drink tea, 28 drink coffee and 8 drink both. How many drink at least one of the two?
  18. 18.In a group of 40 children, 9 play chess, 22 play carrom and 4 play both. How many play at least one of the two?
  19. 19.In a group of 45 grown-ups, 27 drink tea, 16 drink coffee and 12 drink both. How many drink neither of the two?
  20. 20.In a group of 21 children, 14 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 39 grown-ups, 26 drink tea, 16 drink coffee and 9 drink both. How many drink exactly one of the two?
  22. 22.In a group of 29 children, 22 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  23. 23.In a group of 26 children, 6 play cricket, 8 play football and 2 play both. How many play neither of the two?
  24. 24.In a group of 29 children, 8 like mangoes, 22 like bananas and 3 like both. How many like neither of the two?
  25. 25.In a group of 41 children, 22 play chess, 25 play carrom and 7 play both. How many play exactly one of the two?
  26. 26.In a group of 39 grown-ups, 23 drink tea, 10 drink coffee and 4 drink both. How many drink exactly one of the two?
  27. 27.In a group of 28 children, 12 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 25 children, 17 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 38 children, 16 play cricket, 16 play football and 6 play both. How many play neither of the two?
  30. 30.In a group of 54 grown-ups, 24 drink tea, 28 drink coffee and 11 drink both. How many drink only tea?
  31. 31.In a group of 18 children, 9 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 29 children, 21 sing Hindi songs, 6 sing English songs and 2 sing both. How many sing neither of the two?
  33. 33.In a group of 25 children, 6 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 36 grown-ups, 20 drink tea, 13 drink coffee and 2 drink both. How many drink at least one of the two?
  35. 35.In a group of 43 children, 23 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing only Hindi songs?
  36. 36.In a group of 53 grown-ups, 31 drink tea, 30 drink coffee and 11 drink both. How many drink only coffee?
  37. 37.In a group of 33 children, 12 play chess, 22 play carrom and 6 play both. How many play exactly one of the two?
  38. 38.In a group of 37 children, 17 play chess, 28 play carrom and 12 play both. How many play neither of the two?
  39. 39.In a group of 45 grown-ups, 19 drink tea, 14 drink coffee and 3 drink both. How many drink neither of the two?
  40. 40.In a group of 29 grown-ups, 11 drink tea, 24 drink coffee and 7 drink both. How many drink at least one of the two?

Answer key

  1. 33
  2. 18
  3. 20
  4. 26
  5. 33
  6. 14
  7. 40
  8. 15
  9. 6
  10. 27
  11. 18
  12. 19
  13. 30
  14. 13
  15. 7
  16. 23
  17. 48
  18. 27
  19. 14
  20. 3
  21. 24
  22. 2
  23. 14
  24. 2
  25. 33
  26. 25
  27. 14
  28. 2
  29. 12
  30. 13
  31. 6
  32. 4
  33. 4
  34. 31
  35. 16
  36. 19
  37. 22
  38. 4
  39. 15
  40. 28

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