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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 532 · 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 32 grown-ups, 10 drink tea, 24 drink coffee and 7 drink both. How many drink only coffee?
  2. 2.In a group of 45 children, 20 like mangoes, 25 like bananas and 5 like both. How many like exactly one of the two?
  3. 3.In a group of 38 children, 13 like mangoes, 15 like bananas and 3 like both. How many like neither of the two?
  4. 4.In a group of 41 children, 17 play chess, 23 play carrom and 8 play both. How many play neither of the two?
  5. 5.In a group of 47 children, 17 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 27 children, 9 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  7. 7.In a group of 42 grown-ups, 28 drink tea, 21 drink coffee and 9 drink both. How many drink only tea?
  8. 8.In a group of 36 children, 16 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing only Hindi songs?
  9. 9.In a group of 39 children, 10 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 23 children, 8 play cricket, 10 play football and 4 play both. How many play at least one of the two?
  11. 11.In a group of 32 children, 15 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing only Hindi songs?
  12. 12.In a group of 39 children, 23 play cricket, 19 play football and 12 play both. How many play at least one of the two?
  13. 13.In a group of 26 children, 8 like mangoes, 9 like bananas and 4 like both. How many like exactly one of the two?
  14. 14.In a group of 56 children, 26 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  15. 15.In a group of 28 children, 24 play chess, 7 play carrom and 4 play both. How many play only carrom?
  16. 16.In a group of 25 grown-ups, 17 drink tea, 10 drink coffee and 3 drink both. How many drink at least one of the two?
  17. 17.In a group of 27 grown-ups, 13 drink tea, 8 drink coffee and 2 drink both. How many drink only coffee?
  18. 18.In a group of 34 children, 17 play chess, 15 play carrom and 5 play both. How many play only carrom?
  19. 19.In a group of 39 children, 27 like mangoes, 15 like bananas and 12 like both. How many like at least one of the two?
  20. 20.In a group of 39 children, 26 like mangoes, 13 like bananas and 8 like both. How many like neither of the two?
  21. 21.In a group of 37 grown-ups, 26 drink tea, 14 drink coffee and 8 drink both. How many drink neither of the two?
  22. 22.In a group of 44 children, 28 play chess, 20 play carrom and 12 play both. How many play at least one of the two?
  23. 23.In a group of 38 children, 15 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  24. 24.In a group of 44 children, 15 sing Hindi songs, 23 sing English songs and 8 sing both. How many sing neither of the two?
  25. 25.In a group of 43 children, 20 play cricket, 11 play football and 2 play both. How many play exactly one of the two?
  26. 26.In a group of 38 children, 17 play cricket, 13 play football and 4 play both. How many play only football?
  27. 27.In a group of 40 children, 22 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing only English songs?
  28. 28.In a group of 32 grown-ups, 7 drink tea, 21 drink coffee and 2 drink both. How many drink exactly one of the two?
  29. 29.In a group of 48 grown-ups, 25 drink tea, 19 drink coffee and 10 drink both. How many drink neither of the two?
  30. 30.In a group of 39 children, 12 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 25 children, 14 like mangoes, 7 like bananas and 4 like both. How many like neither of the two?
  32. 32.In a group of 37 children, 20 like mangoes, 10 like bananas and 4 like both. How many like only mangoes?
  33. 33.In a group of 39 children, 23 like mangoes, 13 like bananas and 9 like both. How many like exactly one of the two?
  34. 34.In a group of 35 children, 13 like mangoes, 18 like bananas and 5 like both. How many like exactly one of the two?
  35. 35.In a group of 43 grown-ups, 13 drink tea, 25 drink coffee and 6 drink both. How many drink at least one of the two?
  36. 36.In a group of 51 grown-ups, 31 drink tea, 26 drink coffee and 11 drink both. How many drink exactly one of the two?
  37. 37.In a group of 44 children, 28 play chess, 23 play carrom and 11 play both. How many play only chess?
  38. 38.In a group of 23 children, 16 play cricket, 11 play football and 6 play both. How many play only cricket?
  39. 39.In a group of 28 children, 10 play chess, 18 play carrom and 6 play both. How many play only chess?
  40. 40.In a group of 34 children, 12 play cricket, 15 play football and 2 play both. How many play only football?

Answer key

  1. 17
  2. 35
  3. 13
  4. 9
  5. 6
  6. 13
  7. 19
  8. 10
  9. 19
  10. 14
  11. 5
  12. 30
  13. 9
  14. 42
  15. 3
  16. 24
  17. 6
  18. 10
  19. 30
  20. 8
  21. 5
  22. 36
  23. 8
  24. 14
  25. 27
  26. 9
  27. 8
  28. 24
  29. 14
  30. 8
  31. 8
  32. 16
  33. 18
  34. 21
  35. 32
  36. 35
  37. 17
  38. 10
  39. 4
  40. 13

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