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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 657 · 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 30 grown-ups, 22 drink tea, 9 drink coffee and 5 drink both. How many drink only tea?
  2. 2.In a group of 32 children, 22 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 43 children, 18 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 37 children, 22 like mangoes, 10 like bananas and 7 like both. How many like only bananas?
  5. 5.In a group of 19 grown-ups, 13 drink tea, 14 drink coffee and 9 drink both. How many drink at least one of the two?
  6. 6.In a group of 46 children, 19 like mangoes, 17 like bananas and 4 like both. How many like at least one of the two?
  7. 7.In a group of 34 children, 26 like mangoes, 13 like bananas and 10 like both. How many like only bananas?
  8. 8.In a group of 60 children, 32 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing at least one of the two?
  9. 9.In a group of 45 children, 18 play chess, 18 play carrom and 5 play both. How many play only carrom?
  10. 10.In a group of 34 grown-ups, 20 drink tea, 11 drink coffee and 8 drink both. How many drink at least one of the two?
  11. 11.In a group of 50 children, 26 play cricket, 19 play football and 6 play both. How many play at least one of the two?
  12. 12.In a group of 47 children, 25 sing Hindi songs, 29 sing English songs and 12 sing both. How many sing neither of the two?
  13. 13.In a group of 26 grown-ups, 14 drink tea, 17 drink coffee and 9 drink both. How many drink only coffee?
  14. 14.In a group of 35 grown-ups, 20 drink tea, 11 drink coffee and 8 drink both. How many drink only tea?
  15. 15.In a group of 28 children, 9 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  16. 16.In a group of 28 children, 15 play chess, 17 play carrom and 11 play both. How many play exactly one of the two?
  17. 17.In a group of 19 children, 11 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing at least one of the two?
  18. 18.In a group of 55 children, 27 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 34 children, 21 play cricket, 14 play football and 8 play both. How many play only football?
  20. 20.In a group of 53 children, 31 like mangoes, 24 like bananas and 11 like both. How many like only bananas?
  21. 21.In a group of 26 children, 12 like mangoes, 12 like bananas and 7 like both. How many like neither of the two?
  22. 22.In a group of 19 children, 13 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 19 children, 14 play cricket, 13 play football and 9 play both. How many play neither of the two?
  24. 24.In a group of 46 children, 13 sing Hindi songs, 27 sing English songs and 7 sing both. How many sing only English songs?
  25. 25.In a group of 37 children, 17 play cricket, 17 play football and 11 play both. How many play exactly one of the two?
  26. 26.In a group of 35 children, 16 play cricket, 12 play football and 4 play both. How many play at least one of the two?
  27. 27.In a group of 44 children, 24 play cricket, 25 play football and 8 play both. How many play exactly one of the two?
  28. 28.In a group of 30 children, 25 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 35 children, 15 play cricket, 14 play football and 6 play both. How many play exactly one of the two?
  30. 30.In a group of 20 children, 13 play cricket, 7 play football and 2 play both. How many play exactly one of the two?
  31. 31.In a group of 34 children, 11 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 43 children, 27 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing neither of the two?
  33. 33.In a group of 33 children, 10 play chess, 17 play carrom and 4 play both. How many play at least one of the two?
  34. 34.In a group of 41 children, 10 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 36 grown-ups, 24 drink tea, 9 drink coffee and 4 drink both. How many drink exactly one of the two?
  36. 36.In a group of 37 children, 18 enjoy drawing, 21 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 45 children, 27 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 44 children, 21 play chess, 31 play carrom and 11 play both. How many play exactly one of the two?
  39. 39.In a group of 41 children, 20 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 21 children, 10 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy only drawing?

Answer key

  1. 17
  2. 19
  3. 7
  4. 3
  5. 18
  6. 32
  7. 3
  8. 48
  9. 13
  10. 23
  11. 39
  12. 5
  13. 8
  14. 12
  15. 13
  16. 10
  17. 15
  18. 35
  19. 6
  20. 13
  21. 9
  22. 9
  23. 1
  24. 20
  25. 12
  26. 24
  27. 33
  28. 19
  29. 17
  30. 16
  31. 30
  32. 9
  33. 23
  34. 16
  35. 25
  36. 29
  37. 41
  38. 30
  39. 13
  40. 4

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