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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 25 · 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 28 children, 15 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  2. 2.In a group of 55 children, 27 sing Hindi songs, 28 sing English songs and 8 sing both. How many sing only English songs?
  3. 3.In a group of 48 children, 29 play chess, 22 play carrom and 11 play both. How many play only carrom?
  4. 4.In a group of 31 children, 12 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 47 grown-ups, 24 drink tea, 24 drink coffee and 12 drink both. How many drink only coffee?
  6. 6.In a group of 36 children, 26 play chess, 20 play carrom and 11 play both. How many play only chess?
  7. 7.In a group of 48 children, 26 play chess, 18 play carrom and 7 play both. How many play neither of the two?
  8. 8.In a group of 27 grown-ups, 16 drink tea, 15 drink coffee and 6 drink both. How many drink only coffee?
  9. 9.In a group of 34 children, 19 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing only Hindi songs?
  10. 10.In a group of 35 children, 22 like mangoes, 21 like bananas and 9 like both. How many like only mangoes?
  11. 11.In a group of 49 children, 25 play cricket, 32 play football and 12 play both. How many play neither of the two?
  12. 12.In a group of 26 children, 8 play chess, 21 play carrom and 4 play both. How many play only chess?
  13. 13.In a group of 36 children, 20 play chess, 25 play carrom and 12 play both. How many play at least one of the two?
  14. 14.In a group of 43 grown-ups, 20 drink tea, 31 drink coffee and 11 drink both. How many drink neither of the two?
  15. 15.In a group of 38 grown-ups, 20 drink tea, 24 drink coffee and 9 drink both. How many drink only coffee?
  16. 16.In a group of 41 children, 21 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  17. 17.In a group of 36 children, 14 sing Hindi songs, 30 sing English songs and 11 sing both. How many sing at least one of the two?
  18. 18.In a group of 15 children, 9 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing only English songs?
  19. 19.In a group of 49 children, 29 sing Hindi songs, 26 sing English songs and 12 sing both. How many sing exactly one of the two?
  20. 20.In a group of 24 grown-ups, 12 drink tea, 9 drink coffee and 2 drink both. How many drink neither of the two?
  21. 21.In a group of 30 grown-ups, 5 drink tea, 17 drink coffee and 2 drink both. How many drink only tea?
  22. 22.In a group of 32 children, 16 like mangoes, 24 like bananas and 12 like both. How many like only mangoes?
  23. 23.In a group of 34 children, 16 like mangoes, 10 like bananas and 2 like both. How many like only mangoes?
  24. 24.In a group of 47 children, 14 sing Hindi songs, 23 sing English songs and 4 sing both. How many sing only English songs?
  25. 25.In a group of 45 grown-ups, 24 drink tea, 20 drink coffee and 6 drink both. How many drink neither of the two?
  26. 26.In a group of 39 children, 31 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing only Hindi songs?
  27. 27.In a group of 18 children, 10 play chess, 10 play carrom and 5 play both. How many play exactly one of the two?
  28. 28.In a group of 43 children, 15 play chess, 16 play carrom and 2 play both. How many play exactly one of the two?
  29. 29.In a group of 25 children, 14 play cricket, 13 play football and 7 play both. How many play only cricket?
  30. 30.In a group of 53 grown-ups, 29 drink tea, 31 drink coffee and 12 drink both. How many drink neither of the two?
  31. 31.In a group of 43 children, 16 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 30 children, 20 play chess, 13 play carrom and 10 play both. How many play neither of the two?
  33. 33.In a group of 42 children, 23 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing at least one of the two?
  34. 34.In a group of 26 children, 21 like mangoes, 6 like bananas and 3 like both. How many like exactly one of the two?
  35. 35.In a group of 36 children, 14 enjoy drawing, 10 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 55 grown-ups, 30 drink tea, 20 drink coffee and 10 drink both. How many drink neither of the two?
  37. 37.In a group of 44 grown-ups, 26 drink tea, 22 drink coffee and 9 drink both. How many drink only coffee?
  38. 38.In a group of 50 grown-ups, 24 drink tea, 24 drink coffee and 5 drink both. How many drink neither of the two?
  39. 39.In a group of 36 children, 14 sing Hindi songs, 14 sing English songs and 4 sing both. How many sing at least one of the two?
  40. 40.In a group of 31 children, 14 play cricket, 21 play football and 10 play both. How many play exactly one of the two?

Answer key

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

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