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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 255 · 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 40 grown-ups, 17 drink tea, 19 drink coffee and 11 drink both. How many drink only tea?
  2. 2.In a group of 35 grown-ups, 15 drink tea, 18 drink coffee and 9 drink both. How many drink neither of the two?
  3. 3.In a group of 22 children, 11 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 34 children, 16 play cricket, 18 play football and 5 play both. How many play only football?
  5. 5.In a group of 23 children, 15 like mangoes, 16 like bananas and 11 like both. How many like neither of the two?
  6. 6.In a group of 34 children, 22 like mangoes, 11 like bananas and 3 like both. How many like only bananas?
  7. 7.In a group of 26 children, 16 play chess, 15 play carrom and 11 play both. How many play exactly one of the two?
  8. 8.In a group of 29 children, 6 play cricket, 13 play football and 2 play both. How many play only football?
  9. 9.In a group of 29 children, 12 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 46 children, 25 play cricket, 20 play football and 9 play both. How many play at least one of the two?
  11. 11.In a group of 41 children, 12 enjoy drawing, 22 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 43 children, 17 play cricket, 26 play football and 10 play both. How many play only cricket?
  13. 13.In a group of 59 children, 26 sing Hindi songs, 28 sing English songs and 9 sing both. How many sing only Hindi songs?
  14. 14.In a group of 21 children, 15 play chess, 14 play carrom and 10 play both. How many play only carrom?
  15. 15.In a group of 39 grown-ups, 14 drink tea, 22 drink coffee and 10 drink both. How many drink exactly one of the two?
  16. 16.In a group of 39 children, 24 like mangoes, 15 like bananas and 11 like both. How many like only mangoes?
  17. 17.In a group of 27 children, 14 enjoy drawing, 19 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 38 children, 17 play cricket, 15 play football and 4 play both. How many play neither of the two?
  19. 19.In a group of 43 children, 19 play cricket, 25 play football and 5 play both. How many play neither of the two?
  20. 20.In a group of 55 children, 30 play chess, 31 play carrom and 11 play both. How many play only chess?
  21. 21.In a group of 46 children, 23 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 28 children, 15 sing Hindi songs, 12 sing English songs and 6 sing both. How many sing exactly one of the two?
  23. 23.In a group of 42 children, 15 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing only Hindi songs?
  24. 24.In a group of 26 children, 12 play chess, 12 play carrom and 7 play both. How many play only chess?
  25. 25.In a group of 42 children, 23 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  26. 26.In a group of 42 children, 22 play chess, 18 play carrom and 7 play both. How many play only chess?
  27. 27.In a group of 25 grown-ups, 13 drink tea, 16 drink coffee and 10 drink both. How many drink only coffee?
  28. 28.In a group of 29 children, 14 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 45 grown-ups, 23 drink tea, 27 drink coffee and 10 drink both. How many drink exactly one of the two?
  30. 30.In a group of 45 children, 12 play cricket, 25 play football and 6 play both. How many play neither of the two?
  31. 31.In a group of 43 children, 21 play cricket, 27 play football and 8 play both. How many play only cricket?
  32. 32.In a group of 62 children, 31 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 42 children, 22 enjoy drawing, 16 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 34 children, 8 sing Hindi songs, 21 sing English songs and 5 sing both. How many sing only English songs?
  35. 35.In a group of 39 children, 19 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  36. 36.In a group of 30 children, 21 like mangoes, 17 like bananas and 9 like both. How many like only mangoes?
  37. 37.In a group of 40 children, 20 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing exactly one of the two?
  38. 38.In a group of 41 children, 13 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 37 children, 17 play cricket, 17 play football and 6 play both. How many play neither of the two?
  40. 40.In a group of 37 children, 16 sing Hindi songs, 30 sing English songs and 11 sing both. How many sing only Hindi songs?

Answer key

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

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