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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 205 · 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 54 children, 26 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  2. 2.In a group of 38 children, 21 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 45 children, 23 like mangoes, 29 like bananas and 10 like both. How many like exactly one of the two?
  4. 4.In a group of 42 children, 17 play cricket, 23 play football and 5 play both. How many play at least one of the two?
  5. 5.In a group of 32 children, 23 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing exactly one of the two?
  6. 6.In a group of 40 grown-ups, 20 drink tea, 19 drink coffee and 3 drink both. How many drink neither of the two?
  7. 7.In a group of 32 children, 14 play chess, 17 play carrom and 8 play both. How many play only carrom?
  8. 8.In a group of 43 children, 13 sing Hindi songs, 19 sing English songs and 4 sing both. How many sing at least one of the two?
  9. 9.In a group of 21 children, 12 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 31 children, 7 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 45 children, 27 play cricket, 21 play football and 10 play both. How many play at least one of the two?
  12. 12.In a group of 38 children, 27 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 34 grown-ups, 17 drink tea, 18 drink coffee and 7 drink both. How many drink only coffee?
  14. 14.In a group of 29 grown-ups, 12 drink tea, 21 drink coffee and 7 drink both. How many drink neither of the two?
  15. 15.In a group of 45 children, 21 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 34 children, 24 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 42 children, 21 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing neither of the two?
  18. 18.In a group of 21 children, 7 play chess, 14 play carrom and 3 play both. How many play only carrom?
  19. 19.In a group of 42 children, 19 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing only Hindi songs?
  20. 20.In a group of 26 children, 10 like mangoes, 20 like bananas and 5 like both. How many like exactly one of the two?
  21. 21.In a group of 41 children, 19 play cricket, 26 play football and 8 play both. How many play at least one of the two?
  22. 22.In a group of 21 children, 13 play cricket, 6 play football and 2 play both. How many play at least one of the two?
  23. 23.In a group of 32 children, 20 play cricket, 15 play football and 5 play both. How many play at least one of the two?
  24. 24.In a group of 41 children, 20 sing Hindi songs, 12 sing English songs and 3 sing both. How many sing neither of the two?
  25. 25.In a group of 28 children, 12 like mangoes, 11 like bananas and 8 like both. How many like exactly one of the two?
  26. 26.In a group of 46 children, 27 sing Hindi songs, 25 sing English songs and 7 sing both. How many sing neither of the two?
  27. 27.In a group of 26 children, 10 like mangoes, 18 like bananas and 3 like both. How many like exactly one of the two?
  28. 28.In a group of 56 children, 22 play cricket, 22 play football and 3 play both. How many play exactly one of the two?
  29. 29.In a group of 27 children, 16 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing exactly one of the two?
  30. 30.In a group of 50 children, 27 like mangoes, 27 like bananas and 12 like both. How many like only bananas?
  31. 31.In a group of 39 children, 19 play chess, 21 play carrom and 4 play both. How many play exactly one of the two?
  32. 32.In a group of 37 children, 14 play cricket, 20 play football and 8 play both. How many play only cricket?
  33. 33.In a group of 23 grown-ups, 14 drink tea, 16 drink coffee and 10 drink both. How many drink only coffee?
  34. 34.In a group of 17 children, 9 play cricket, 11 play football and 6 play both. How many play only football?
  35. 35.In a group of 46 children, 27 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing only Hindi songs?
  36. 36.In a group of 44 children, 12 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 45 children, 14 like mangoes, 31 like bananas and 11 like both. How many like exactly one of the two?
  38. 38.In a group of 41 grown-ups, 18 drink tea, 21 drink coffee and 7 drink both. How many drink neither of the two?
  39. 39.In a group of 47 children, 22 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only English songs?
  40. 40.In a group of 23 grown-ups, 8 drink tea, 19 drink coffee and 5 drink both. How many drink neither of the two?

Answer key

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

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