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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 568 · 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 25 children, 18 play cricket, 5 play football and 2 play both. How many play only football?
  2. 2.In a group of 27 grown-ups, 15 drink tea, 20 drink coffee and 12 drink both. How many drink neither of the two?
  3. 3.In a group of 41 children, 11 play cricket, 22 play football and 4 play both. How many play only cricket?
  4. 4.In a group of 29 grown-ups, 15 drink tea, 12 drink coffee and 8 drink both. How many drink exactly one of the two?
  5. 5.In a group of 20 children, 13 play chess, 10 play carrom and 5 play both. How many play at least one of the two?
  6. 6.In a group of 23 children, 7 like mangoes, 10 like bananas and 3 like both. How many like exactly one of the two?
  7. 7.In a group of 49 children, 30 enjoy drawing, 17 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 50 children, 20 play cricket, 18 play football and 3 play both. How many play neither of the two?
  9. 9.In a group of 28 children, 10 play chess, 12 play carrom and 6 play both. How many play exactly one of the two?
  10. 10.In a group of 46 children, 32 sing Hindi songs, 23 sing English songs and 12 sing both. How many sing neither of the two?
  11. 11.In a group of 34 grown-ups, 18 drink tea, 13 drink coffee and 9 drink both. How many drink only coffee?
  12. 12.In a group of 42 children, 14 sing Hindi songs, 27 sing English songs and 8 sing both. How many sing neither of the two?
  13. 13.In a group of 44 children, 19 like mangoes, 17 like bananas and 2 like both. How many like exactly one of the two?
  14. 14.In a group of 35 children, 11 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 60 children, 29 play cricket, 31 play football and 12 play both. How many play exactly one of the two?
  16. 16.In a group of 38 children, 9 sing Hindi songs, 19 sing English songs and 2 sing both. How many sing only Hindi songs?
  17. 17.In a group of 24 children, 7 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing only English songs?
  18. 18.In a group of 40 grown-ups, 26 drink tea, 16 drink coffee and 6 drink both. How many drink only coffee?
  19. 19.In a group of 36 children, 7 play cricket, 18 play football and 3 play both. How many play exactly one of the two?
  20. 20.In a group of 31 children, 15 like mangoes, 9 like bananas and 3 like both. How many like neither of the two?
  21. 21.In a group of 52 children, 23 play cricket, 23 play football and 6 play both. How many play only cricket?
  22. 22.In a group of 50 children, 20 play cricket, 27 play football and 9 play both. How many play only football?
  23. 23.In a group of 28 children, 15 play chess, 10 play carrom and 5 play both. How many play exactly one of the two?
  24. 24.In a group of 33 grown-ups, 7 drink tea, 18 drink coffee and 2 drink both. How many drink neither of the two?
  25. 25.In a group of 31 children, 9 play cricket, 20 play football and 3 play both. How many play neither of the two?
  26. 26.In a group of 59 grown-ups, 29 drink tea, 28 drink coffee and 10 drink both. How many drink exactly one of the two?
  27. 27.In a group of 35 children, 16 sing Hindi songs, 19 sing English songs and 10 sing both. How many sing only Hindi songs?
  28. 28.In a group of 45 children, 20 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing at least one of the two?
  29. 29.In a group of 42 children, 29 enjoy drawing, 20 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  30. 30.In a group of 38 children, 15 play cricket, 23 play football and 8 play both. How many play only football?
  31. 31.In a group of 37 children, 8 play chess, 20 play carrom and 3 play both. How many play at least one of the two?
  32. 32.In a group of 25 children, 17 play cricket, 6 play football and 2 play both. How many play only cricket?
  33. 33.In a group of 45 children, 16 enjoy drawing, 29 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 30 children, 21 play chess, 10 play carrom and 7 play both. How many play neither of the two?
  35. 35.In a group of 36 children, 13 like mangoes, 20 like bananas and 10 like both. How many like only bananas?
  36. 36.In a group of 39 children, 8 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 33 children, 11 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 52 children, 19 sing Hindi songs, 29 sing English songs and 11 sing both. How many sing neither of the two?
  39. 39.In a group of 26 children, 7 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 37 children, 24 play cricket, 7 play football and 4 play both. How many play only cricket?

Answer key

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

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