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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 211 · 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 53 grown-ups, 26 drink tea, 26 drink coffee and 7 drink both. How many drink only coffee?
  2. 2.In a group of 39 children, 24 like mangoes, 24 like bananas and 11 like both. How many like only bananas?
  3. 3.In a group of 32 children, 23 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing only Hindi songs?
  4. 4.In a group of 44 children, 17 play cricket, 23 play football and 6 play both. How many play only cricket?
  5. 5.In a group of 38 children, 22 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing only English songs?
  6. 6.In a group of 35 children, 23 play chess, 15 play carrom and 11 play both. How many play only chess?
  7. 7.In a group of 42 children, 16 play chess, 18 play carrom and 3 play both. How many play exactly one of the two?
  8. 8.In a group of 50 grown-ups, 27 drink tea, 22 drink coffee and 10 drink both. How many drink only coffee?
  9. 9.In a group of 38 grown-ups, 15 drink tea, 19 drink coffee and 6 drink both. How many drink only coffee?
  10. 10.In a group of 40 children, 28 play cricket, 15 play football and 8 play both. How many play neither of the two?
  11. 11.In a group of 47 grown-ups, 24 drink tea, 29 drink coffee and 9 drink both. How many drink only tea?
  12. 12.In a group of 30 children, 25 like mangoes, 11 like bananas and 7 like both. How many like exactly one of the two?
  13. 13.In a group of 55 children, 24 play cricket, 26 play football and 7 play both. How many play only cricket?
  14. 14.In a group of 24 children, 14 like mangoes, 8 like bananas and 5 like both. How many like neither of the two?
  15. 15.In a group of 39 children, 27 like mangoes, 16 like bananas and 12 like both. How many like neither of the two?
  16. 16.In a group of 49 children, 28 play cricket, 17 play football and 9 play both. How many play exactly one of the two?
  17. 17.In a group of 56 children, 25 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 14 children, 10 play chess, 6 play carrom and 3 play both. How many play only carrom?
  19. 19.In a group of 49 children, 24 play chess, 16 play carrom and 5 play both. How many play only chess?
  20. 20.In a group of 39 children, 22 play chess, 21 play carrom and 6 play both. How many play only chess?
  21. 21.In a group of 48 children, 21 play cricket, 16 play football and 2 play both. How many play exactly one of the two?
  22. 22.In a group of 26 grown-ups, 14 drink tea, 15 drink coffee and 11 drink both. How many drink only tea?
  23. 23.In a group of 44 children, 30 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing only English songs?
  24. 24.In a group of 20 children, 9 enjoy drawing, 10 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  25. 25.In a group of 20 children, 10 like mangoes, 10 like bananas and 3 like both. How many like neither of the two?
  26. 26.In a group of 35 children, 21 sing Hindi songs, 15 sing English songs and 4 sing both. How many sing neither of the two?
  27. 27.In a group of 36 children, 21 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  28. 28.In a group of 29 children, 24 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing only English songs?
  29. 29.In a group of 53 children, 21 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 31 children, 22 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 45 children, 23 sing Hindi songs, 21 sing English songs and 8 sing both. How many sing only Hindi songs?
  32. 32.In a group of 53 grown-ups, 31 drink tea, 26 drink coffee and 12 drink both. How many drink neither of the two?
  33. 33.In a group of 34 children, 17 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 29 children, 7 play chess, 15 play carrom and 2 play both. How many play only chess?
  35. 35.In a group of 38 children, 12 sing Hindi songs, 24 sing English songs and 6 sing both. How many sing only English songs?
  36. 36.In a group of 27 children, 10 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing exactly one of the two?
  37. 37.In a group of 39 children, 13 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  38. 38.In a group of 56 children, 28 like mangoes, 23 like bananas and 10 like both. How many like at least one of the two?
  39. 39.In a group of 27 children, 17 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing only Hindi songs?
  40. 40.In a group of 36 children, 25 play chess, 17 play carrom and 11 play both. How many play at least one of the two?

Answer key

  1. 19
  2. 13
  3. 15
  4. 11
  5. 7
  6. 12
  7. 28
  8. 12
  9. 13
  10. 5
  11. 15
  12. 22
  13. 17
  14. 7
  15. 8
  16. 27
  17. 45
  18. 3
  19. 19
  20. 16
  21. 33
  22. 3
  23. 3
  24. 7
  25. 3
  26. 3
  27. 19
  28. 4
  29. 12
  30. 20
  31. 15
  32. 8
  33. 23
  34. 5
  35. 18
  36. 12
  37. 12
  38. 41
  39. 13
  40. 31

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