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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 26 · 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 29 grown-ups, 17 drink tea, 19 drink coffee and 11 drink both. How many drink only tea?
  2. 2.In a group of 42 children, 21 play cricket, 16 play football and 3 play both. How many play neither of the two?
  3. 3.In a group of 33 children, 20 play chess, 8 play carrom and 3 play both. How many play neither of the two?
  4. 4.In a group of 30 children, 10 play cricket, 12 play football and 5 play both. How many play only cricket?
  5. 5.In a group of 40 children, 12 like mangoes, 29 like bananas and 9 like both. How many like neither of the two?
  6. 6.In a group of 42 children, 14 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing exactly one of the two?
  7. 7.In a group of 37 children, 17 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 40 children, 9 like mangoes, 20 like bananas and 2 like both. How many like only mangoes?
  9. 9.In a group of 48 children, 26 play cricket, 18 play football and 7 play both. How many play exactly one of the two?
  10. 10.In a group of 40 children, 27 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 51 children, 23 play cricket, 31 play football and 12 play both. How many play at least one of the two?
  12. 12.In a group of 35 children, 30 play cricket, 15 play football and 11 play both. How many play only cricket?
  13. 13.In a group of 43 children, 28 play chess, 16 play carrom and 11 play both. How many play at least one of the two?
  14. 14.In a group of 39 children, 19 sing Hindi songs, 18 sing English songs and 10 sing both. How many sing only Hindi songs?
  15. 15.In a group of 43 children, 18 play cricket, 25 play football and 11 play both. How many play neither of the two?
  16. 16.In a group of 40 grown-ups, 20 drink tea, 16 drink coffee and 6 drink both. How many drink only coffee?
  17. 17.In a group of 41 children, 26 play chess, 21 play carrom and 12 play both. How many play only carrom?
  18. 18.In a group of 34 children, 13 play cricket, 23 play football and 4 play both. How many play only football?
  19. 19.In a group of 30 children, 14 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 37 children, 16 play chess, 19 play carrom and 2 play both. How many play only carrom?
  21. 21.In a group of 29 grown-ups, 9 drink tea, 23 drink coffee and 4 drink both. How many drink exactly one of the two?
  22. 22.In a group of 32 children, 22 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 28 children, 9 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 35 grown-ups, 15 drink tea, 20 drink coffee and 11 drink both. How many drink neither of the two?
  25. 25.In a group of 41 children, 16 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 57 children, 26 like mangoes, 27 like bananas and 11 like both. How many like exactly one of the two?
  27. 27.In a group of 31 grown-ups, 17 drink tea, 18 drink coffee and 11 drink both. How many drink only coffee?
  28. 28.In a group of 32 children, 9 play chess, 17 play carrom and 6 play both. How many play at least one of the two?
  29. 29.In a group of 31 children, 5 play chess, 21 play carrom and 2 play both. How many play only chess?
  30. 30.In a group of 30 children, 12 play chess, 20 play carrom and 3 play both. How many play at least one of the two?
  31. 31.In a group of 41 children, 17 play chess, 20 play carrom and 10 play both. How many play neither of the two?
  32. 32.In a group of 35 children, 13 sing Hindi songs, 23 sing English songs and 8 sing both. How many sing at least one of the two?
  33. 33.In a group of 23 grown-ups, 17 drink tea, 12 drink coffee and 7 drink both. How many drink only coffee?
  34. 34.In a group of 47 children, 25 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 47 children, 23 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing neither of the two?
  36. 36.In a group of 32 children, 17 enjoy drawing, 13 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 34 children, 14 play cricket, 16 play football and 11 play both. How many play neither of the two?
  38. 38.In a group of 48 grown-ups, 20 drink tea, 22 drink coffee and 5 drink both. How many drink neither of the two?
  39. 39.In a group of 40 children, 12 play chess, 23 play carrom and 9 play both. How many play exactly one of the two?
  40. 40.In a group of 35 children, 20 play chess, 20 play carrom and 12 play both. How many play at least one of the two?

Answer key

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

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