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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 37 · 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 49 grown-ups, 24 drink tea, 26 drink coffee and 9 drink both. How many drink neither of the two?
  2. 2.In a group of 45 children, 13 play cricket, 23 play football and 6 play both. How many play only cricket?
  3. 3.In a group of 42 grown-ups, 25 drink tea, 20 drink coffee and 6 drink both. How many drink neither of the two?
  4. 4.In a group of 47 children, 24 play cricket, 23 play football and 8 play both. How many play neither of the two?
  5. 5.In a group of 39 children, 27 like mangoes, 17 like bananas and 7 like both. How many like at least one of the two?
  6. 6.In a group of 32 children, 11 play cricket, 14 play football and 3 play both. How many play at least one of the two?
  7. 7.In a group of 28 children, 17 like mangoes, 12 like bananas and 9 like both. How many like neither of the two?
  8. 8.In a group of 24 grown-ups, 15 drink tea, 6 drink coffee and 2 drink both. How many drink only coffee?
  9. 9.In a group of 45 children, 27 play chess, 26 play carrom and 12 play both. How many play only chess?
  10. 10.In a group of 39 grown-ups, 15 drink tea, 29 drink coffee and 12 drink both. How many drink exactly one of the two?
  11. 11.In a group of 38 children, 21 enjoy drawing, 20 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  12. 12.In a group of 11 children, 6 like mangoes, 7 like bananas and 3 like both. How many like at least one of the two?
  13. 13.In a group of 25 children, 17 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 43 children, 23 like mangoes, 22 like bananas and 6 like both. How many like at least one of the two?
  15. 15.In a group of 44 grown-ups, 28 drink tea, 15 drink coffee and 10 drink both. How many drink only coffee?
  16. 16.In a group of 33 children, 20 play chess, 18 play carrom and 9 play both. How many play exactly one of the two?
  17. 17.In a group of 31 children, 10 play chess, 20 play carrom and 6 play both. How many play neither of the two?
  18. 18.In a group of 37 children, 24 play chess, 19 play carrom and 10 play both. How many play at least one of the two?
  19. 19.In a group of 42 children, 25 play chess, 22 play carrom and 9 play both. How many play neither of the two?
  20. 20.In a group of 37 grown-ups, 22 drink tea, 14 drink coffee and 4 drink both. How many drink exactly one of the two?
  21. 21.In a group of 52 children, 20 play cricket, 23 play football and 4 play both. How many play only football?
  22. 22.In a group of 32 children, 20 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 45 children, 27 enjoy drawing, 29 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 33 children, 11 play chess, 13 play carrom and 5 play both. How many play at least one of the two?
  25. 25.In a group of 52 children, 21 play cricket, 24 play football and 7 play both. How many play exactly one of the two?
  26. 26.In a group of 25 children, 9 play chess, 8 play carrom and 5 play both. How many play exactly one of the two?
  27. 27.In a group of 32 children, 14 like mangoes, 19 like bananas and 9 like both. How many like only bananas?
  28. 28.In a group of 53 children, 29 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 43 children, 13 like mangoes, 23 like bananas and 4 like both. How many like only mangoes?
  30. 30.In a group of 40 children, 24 play cricket, 19 play football and 12 play both. How many play neither of the two?
  31. 31.In a group of 42 children, 21 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  32. 32.In a group of 38 children, 17 enjoy drawing, 13 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 43 grown-ups, 10 drink tea, 23 drink coffee and 5 drink both. How many drink neither of the two?
  34. 34.In a group of 25 children, 11 like mangoes, 8 like bananas and 5 like both. How many like only mangoes?
  35. 35.In a group of 31 children, 16 play cricket, 17 play football and 11 play both. How many play exactly one of the two?
  36. 36.In a group of 31 grown-ups, 13 drink tea, 19 drink coffee and 9 drink both. How many drink at least one of the two?
  37. 37.In a group of 40 grown-ups, 26 drink tea, 22 drink coffee and 11 drink both. How many drink only coffee?
  38. 38.In a group of 28 children, 17 sing Hindi songs, 12 sing English songs and 3 sing both. How many sing neither of the two?
  39. 39.In a group of 46 children, 27 like mangoes, 15 like bananas and 11 like both. How many like neither of the two?
  40. 40.In a group of 26 children, 7 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy only drawing?

Answer key

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

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