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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 252 · 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 44 children, 22 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  2. 2.In a group of 25 children, 18 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing at least one of the two?
  3. 3.In a group of 46 grown-ups, 22 drink tea, 20 drink coffee and 9 drink both. How many drink at least one of the two?
  4. 4.In a group of 50 children, 32 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 40 grown-ups, 20 drink tea, 22 drink coffee and 4 drink both. How many drink only tea?
  6. 6.In a group of 36 children, 22 sing Hindi songs, 19 sing English songs and 10 sing both. How many sing neither of the two?
  7. 7.In a group of 41 children, 18 play cricket, 18 play football and 3 play both. How many play at least one of the two?
  8. 8.In a group of 31 children, 10 play cricket, 12 play football and 3 play both. How many play only football?
  9. 9.In a group of 47 children, 29 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 39 children, 29 play chess, 17 play carrom and 12 play both. How many play at least one of the two?
  11. 11.In a group of 24 children, 14 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing exactly one of the two?
  12. 12.In a group of 26 children, 17 play chess, 7 play carrom and 3 play both. How many play exactly one of the two?
  13. 13.In a group of 43 children, 23 play cricket, 15 play football and 7 play both. How many play exactly one of the two?
  14. 14.In a group of 37 children, 9 sing Hindi songs, 19 sing English songs and 2 sing both. How many sing only Hindi songs?
  15. 15.In a group of 17 children, 7 play cricket, 7 play football and 2 play both. How many play only cricket?
  16. 16.In a group of 37 grown-ups, 13 drink tea, 21 drink coffee and 9 drink both. How many drink at least one of the two?
  17. 17.In a group of 37 children, 14 like mangoes, 27 like bananas and 7 like both. How many like at least one of the two?
  18. 18.In a group of 36 grown-ups, 13 drink tea, 17 drink coffee and 8 drink both. How many drink only coffee?
  19. 19.In a group of 33 children, 15 like mangoes, 17 like bananas and 10 like both. How many like only mangoes?
  20. 20.In a group of 47 children, 23 play chess, 15 play carrom and 3 play both. How many play only chess?
  21. 21.In a group of 26 children, 10 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing only English songs?
  22. 22.In a group of 38 children, 21 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 37 grown-ups, 17 drink tea, 17 drink coffee and 11 drink both. How many drink at least one of the two?
  24. 24.In a group of 32 children, 18 like mangoes, 21 like bananas and 9 like both. How many like at least one of the two?
  25. 25.In a group of 42 children, 26 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing neither of the two?
  26. 26.In a group of 36 grown-ups, 13 drink tea, 12 drink coffee and 4 drink both. How many drink at least one of the two?
  27. 27.In a group of 40 children, 19 play chess, 26 play carrom and 8 play both. How many play only carrom?
  28. 28.In a group of 49 children, 17 play chess, 30 play carrom and 12 play both. How many play at least one of the two?
  29. 29.In a group of 44 children, 28 like mangoes, 15 like bananas and 10 like both. How many like only mangoes?
  30. 30.In a group of 23 children, 14 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 29 children, 16 like mangoes, 12 like bananas and 2 like both. How many like only bananas?
  32. 32.In a group of 56 grown-ups, 21 drink tea, 30 drink coffee and 10 drink both. How many drink exactly one of the two?
  33. 33.In a group of 28 children, 5 like mangoes, 15 like bananas and 2 like both. How many like only mangoes?
  34. 34.In a group of 26 children, 10 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 47 children, 28 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 33 children, 9 play chess, 17 play carrom and 4 play both. How many play exactly one of the two?
  37. 37.In a group of 30 children, 14 play chess, 8 play carrom and 5 play both. How many play only carrom?
  38. 38.In a group of 31 children, 22 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing exactly one of the two?
  39. 39.In a group of 40 children, 22 play chess, 13 play carrom and 6 play both. How many play only chess?
  40. 40.In a group of 43 children, 17 play chess, 16 play carrom and 3 play both. How many play at least one of the two?

Answer key

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

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