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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 360 · 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 29 children, 10 play cricket, 19 play football and 4 play both. How many play at least one of the two?
  2. 2.In a group of 54 children, 24 enjoy drawing, 26 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 36 children, 13 play chess, 12 play carrom and 3 play both. How many play only carrom?
  4. 4.In a group of 35 children, 14 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing exactly one of the two?
  5. 5.In a group of 53 grown-ups, 21 drink tea, 26 drink coffee and 9 drink both. How many drink only tea?
  6. 6.In a group of 40 children, 17 like mangoes, 25 like bananas and 9 like both. How many like neither of the two?
  7. 7.In a group of 57 grown-ups, 29 drink tea, 28 drink coffee and 9 drink both. How many drink neither of the two?
  8. 8.In a group of 31 children, 19 play cricket, 17 play football and 10 play both. How many play only football?
  9. 9.In a group of 37 children, 15 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing neither of the two?
  10. 10.In a group of 25 children, 19 play cricket, 9 play football and 6 play both. How many play only football?
  11. 11.In a group of 44 children, 17 like mangoes, 17 like bananas and 3 like both. How many like exactly one of the two?
  12. 12.In a group of 42 children, 20 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 52 children, 30 play cricket, 31 play football and 11 play both. How many play at least one of the two?
  14. 14.In a group of 41 children, 20 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  15. 15.In a group of 51 children, 17 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 40 children, 19 play cricket, 28 play football and 10 play both. How many play exactly one of the two?
  17. 17.In a group of 28 children, 10 play cricket, 17 play football and 5 play both. How many play exactly one of the two?
  18. 18.In a group of 51 children, 31 sing Hindi songs, 31 sing English songs and 12 sing both. How many sing only Hindi songs?
  19. 19.In a group of 31 children, 10 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 33 children, 17 like mangoes, 19 like bananas and 8 like both. How many like only mangoes?
  21. 21.In a group of 32 children, 18 like mangoes, 7 like bananas and 4 like both. How many like neither of the two?
  22. 22.In a group of 45 children, 27 like mangoes, 20 like bananas and 12 like both. How many like exactly one of the two?
  23. 23.In a group of 18 children, 7 play cricket, 10 play football and 4 play both. How many play only cricket?
  24. 24.In a group of 22 children, 16 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 28 children, 22 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  26. 26.In a group of 40 children, 19 play cricket, 13 play football and 3 play both. How many play only cricket?
  27. 27.In a group of 37 children, 21 like mangoes, 15 like bananas and 3 like both. How many like only mangoes?
  28. 28.In a group of 26 children, 11 like mangoes, 11 like bananas and 4 like both. How many like at least one of the two?
  29. 29.In a group of 37 children, 20 sing Hindi songs, 12 sing English songs and 6 sing both. How many sing only Hindi songs?
  30. 30.In a group of 24 children, 12 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing neither of the two?
  31. 31.In a group of 23 grown-ups, 15 drink tea, 11 drink coffee and 4 drink both. How many drink only coffee?
  32. 32.In a group of 30 grown-ups, 17 drink tea, 13 drink coffee and 10 drink both. How many drink neither of the two?
  33. 33.In a group of 28 children, 7 play cricket, 11 play football and 3 play both. How many play only cricket?
  34. 34.In a group of 49 children, 23 play chess, 17 play carrom and 5 play both. How many play exactly one of the two?
  35. 35.In a group of 26 children, 8 like mangoes, 10 like bananas and 3 like both. How many like exactly one of the two?
  36. 36.In a group of 48 children, 22 play cricket, 20 play football and 5 play both. How many play at least one of the two?
  37. 37.In a group of 36 children, 15 sing Hindi songs, 12 sing English songs and 2 sing both. How many sing only English songs?
  38. 38.In a group of 37 children, 16 play chess, 20 play carrom and 7 play both. How many play exactly one of the two?
  39. 39.In a group of 54 grown-ups, 20 drink tea, 27 drink coffee and 8 drink both. How many drink only tea?
  40. 40.In a group of 47 children, 22 play cricket, 26 play football and 9 play both. How many play only football?

Answer key

  1. 25
  2. 44
  3. 9
  4. 30
  5. 12
  6. 7
  7. 9
  8. 7
  9. 10
  10. 3
  11. 28
  12. 39
  13. 50
  14. 11
  15. 14
  16. 27
  17. 17
  18. 19
  19. 12
  20. 9
  21. 11
  22. 23
  23. 3
  24. 20
  25. 3
  26. 16
  27. 18
  28. 18
  29. 14
  30. 7
  31. 7
  32. 10
  33. 4
  34. 30
  35. 12
  36. 37
  37. 10
  38. 22
  39. 12
  40. 17

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