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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 422 · 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 31 grown-ups, 13 drink tea, 16 drink coffee and 3 drink both. How many drink only coffee?
  2. 2.In a group of 50 grown-ups, 22 drink tea, 20 drink coffee and 6 drink both. How many drink only tea?
  3. 3.In a group of 34 children, 15 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 36 children, 17 like mangoes, 22 like bananas and 8 like both. How many like at least one of the two?
  5. 5.In a group of 25 children, 18 play cricket, 13 play football and 10 play both. How many play only cricket?
  6. 6.In a group of 36 children, 21 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 44 children, 19 play cricket, 20 play football and 4 play both. How many play exactly one of the two?
  8. 8.In a group of 57 children, 27 play chess, 26 play carrom and 7 play both. How many play at least one of the two?
  9. 9.In a group of 30 grown-ups, 17 drink tea, 18 drink coffee and 10 drink both. How many drink at least one of the two?
  10. 10.In a group of 34 children, 21 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing exactly one of the two?
  11. 11.In a group of 34 children, 7 play cricket, 23 play football and 4 play both. How many play neither of the two?
  12. 12.In a group of 43 grown-ups, 17 drink tea, 17 drink coffee and 4 drink both. How many drink neither of the two?
  13. 13.In a group of 28 children, 9 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing exactly one of the two?
  14. 14.In a group of 25 children, 9 sing Hindi songs, 18 sing English songs and 4 sing both. How many sing neither of the two?
  15. 15.In a group of 34 children, 16 play chess, 20 play carrom and 7 play both. How many play only carrom?
  16. 16.In a group of 37 children, 25 like mangoes, 13 like bananas and 5 like both. How many like only bananas?
  17. 17.In a group of 26 children, 9 sing Hindi songs, 12 sing English songs and 6 sing both. How many sing only English songs?
  18. 18.In a group of 35 children, 16 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing only English songs?
  19. 19.In a group of 43 children, 13 like mangoes, 29 like bananas and 9 like both. How many like at least one of the two?
  20. 20.In a group of 48 grown-ups, 18 drink tea, 23 drink coffee and 3 drink both. How many drink neither of the two?
  21. 21.In a group of 59 children, 24 sing Hindi songs, 25 sing English songs and 5 sing both. How many sing exactly one of the two?
  22. 22.In a group of 23 children, 7 like mangoes, 11 like bananas and 2 like both. How many like only bananas?
  23. 23.In a group of 24 grown-ups, 8 drink tea, 16 drink coffee and 3 drink both. How many drink only tea?
  24. 24.In a group of 45 children, 18 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 33 children, 13 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing exactly one of the two?
  26. 26.In a group of 39 children, 14 play chess, 21 play carrom and 8 play both. How many play at least one of the two?
  27. 27.In a group of 49 children, 29 like mangoes, 19 like bananas and 12 like both. How many like only bananas?
  28. 28.In a group of 34 grown-ups, 13 drink tea, 10 drink coffee and 4 drink both. How many drink only tea?
  29. 29.In a group of 36 children, 18 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 43 children, 13 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 40 children, 19 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 38 children, 17 play cricket, 24 play football and 8 play both. How many play only cricket?
  33. 33.In a group of 14 children, 10 play chess, 10 play carrom and 7 play both. How many play only carrom?
  34. 34.In a group of 28 children, 12 play cricket, 15 play football and 8 play both. How many play only cricket?
  35. 35.In a group of 45 children, 19 like mangoes, 24 like bananas and 11 like both. How many like only bananas?
  36. 36.In a group of 58 children, 23 play chess, 30 play carrom and 10 play both. How many play only carrom?
  37. 37.In a group of 23 grown-ups, 16 drink tea, 10 drink coffee and 5 drink both. How many drink only tea?
  38. 38.In a group of 58 children, 25 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  39. 39.In a group of 46 children, 19 like mangoes, 27 like bananas and 10 like both. How many like only mangoes?
  40. 40.In a group of 30 children, 25 play chess, 9 play carrom and 5 play both. How many play neither of the two?

Answer key

  1. 13
  2. 16
  3. 20
  4. 31
  5. 8
  6. 24
  7. 31
  8. 46
  9. 25
  10. 13
  11. 8
  12. 13
  13. 21
  14. 2
  15. 13
  16. 8
  17. 6
  18. 4
  19. 33
  20. 10
  21. 39
  22. 9
  23. 5
  24. 32
  25. 19
  26. 27
  27. 7
  28. 9
  29. 6
  30. 21
  31. 9
  32. 9
  33. 3
  34. 4
  35. 13
  36. 20
  37. 11
  38. 45
  39. 9
  40. 1

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