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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 583 · 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 41 children, 20 enjoy drawing, 31 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  2. 2.In a group of 25 grown-ups, 14 drink tea, 7 drink coffee and 4 drink both. How many drink only coffee?
  3. 3.In a group of 38 children, 19 play chess, 30 play carrom and 12 play both. How many play neither of the two?
  4. 4.In a group of 40 grown-ups, 23 drink tea, 19 drink coffee and 10 drink both. How many drink only coffee?
  5. 5.In a group of 24 grown-ups, 13 drink tea, 13 drink coffee and 6 drink both. How many drink at least one of the two?
  6. 6.In a group of 41 children, 24 play cricket, 18 play football and 4 play both. How many play neither of the two?
  7. 7.In a group of 41 children, 19 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing only English songs?
  8. 8.In a group of 29 children, 11 like mangoes, 21 like bananas and 4 like both. How many like exactly one of the two?
  9. 9.In a group of 19 grown-ups, 13 drink tea, 7 drink coffee and 2 drink both. How many drink neither of the two?
  10. 10.In a group of 52 children, 31 like mangoes, 27 like bananas and 11 like both. How many like at least one of the two?
  11. 11.In a group of 30 children, 16 like mangoes, 14 like bananas and 2 like both. How many like only bananas?
  12. 12.In a group of 36 grown-ups, 25 drink tea, 15 drink coffee and 11 drink both. How many drink neither of the two?
  13. 13.In a group of 29 children, 15 play chess, 10 play carrom and 6 play both. How many play at least one of the two?
  14. 14.In a group of 32 children, 14 like mangoes, 16 like bananas and 7 like both. How many like at least one of the two?
  15. 15.In a group of 22 children, 8 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  16. 16.In a group of 40 grown-ups, 19 drink tea, 26 drink coffee and 12 drink both. How many drink at least one of the two?
  17. 17.In a group of 33 grown-ups, 13 drink tea, 20 drink coffee and 8 drink both. How many drink at least one of the two?
  18. 18.In a group of 27 children, 11 play cricket, 10 play football and 3 play both. How many play only cricket?
  19. 19.In a group of 39 children, 21 like mangoes, 13 like bananas and 6 like both. How many like exactly one of the two?
  20. 20.In a group of 37 children, 22 play cricket, 24 play football and 11 play both. How many play only football?
  21. 21.In a group of 45 children, 21 play chess, 28 play carrom and 8 play both. How many play only carrom?
  22. 22.In a group of 26 children, 9 sing Hindi songs, 17 sing English songs and 6 sing both. How many sing only Hindi songs?
  23. 23.In a group of 32 children, 16 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing only Hindi songs?
  24. 24.In a group of 48 children, 15 play cricket, 27 play football and 9 play both. How many play only cricket?
  25. 25.In a group of 33 children, 9 play chess, 22 play carrom and 4 play both. How many play at least one of the two?
  26. 26.In a group of 45 children, 25 like mangoes, 28 like bananas and 9 like both. How many like only bananas?
  27. 27.In a group of 42 grown-ups, 19 drink tea, 20 drink coffee and 5 drink both. How many drink neither of the two?
  28. 28.In a group of 43 grown-ups, 20 drink tea, 21 drink coffee and 11 drink both. How many drink neither of the two?
  29. 29.In a group of 36 children, 19 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 46 children, 26 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 41 children, 22 play cricket, 16 play football and 5 play both. How many play neither of the two?
  32. 32.In a group of 22 children, 11 play chess, 11 play carrom and 4 play both. How many play only chess?
  33. 33.In a group of 33 children, 13 play cricket, 19 play football and 10 play both. How many play exactly one of the two?
  34. 34.In a group of 30 children, 10 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  35. 35.In a group of 39 children, 14 play cricket, 23 play football and 6 play both. How many play neither of the two?
  36. 36.In a group of 30 children, 6 play chess, 21 play carrom and 3 play both. How many play at least one of the two?
  37. 37.In a group of 34 children, 17 like mangoes, 12 like bananas and 7 like both. How many like exactly one of the two?
  38. 38.In a group of 17 children, 10 play cricket, 7 play football and 3 play both. How many play only football?
  39. 39.In a group of 25 children, 17 play cricket, 12 play football and 7 play both. How many play only cricket?
  40. 40.In a group of 35 grown-ups, 17 drink tea, 6 drink coffee and 3 drink both. How many drink only tea?

Answer key

  1. 29
  2. 3
  3. 1
  4. 9
  5. 20
  6. 3
  7. 16
  8. 24
  9. 1
  10. 47
  11. 12
  12. 7
  13. 19
  14. 23
  15. 3
  16. 33
  17. 25
  18. 8
  19. 22
  20. 13
  21. 20
  22. 3
  23. 11
  24. 6
  25. 27
  26. 19
  27. 8
  28. 13
  29. 8
  30. 15
  31. 8
  32. 7
  33. 12
  34. 25
  35. 8
  36. 24
  37. 15
  38. 4
  39. 10
  40. 14

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