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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 181 · 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 33 children, 20 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  2. 2.In a group of 48 children, 22 like mangoes, 23 like bananas and 12 like both. How many like neither of the two?
  3. 3.In a group of 31 children, 23 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 44 grown-ups, 16 drink tea, 22 drink coffee and 9 drink both. How many drink exactly one of the two?
  5. 5.In a group of 42 children, 11 like mangoes, 20 like bananas and 4 like both. How many like only mangoes?
  6. 6.In a group of 34 children, 14 sing Hindi songs, 13 sing English songs and 8 sing both. How many sing neither of the two?
  7. 7.In a group of 44 children, 26 play chess, 23 play carrom and 6 play both. How many play at least one of the two?
  8. 8.In a group of 25 children, 19 like mangoes, 9 like bananas and 4 like both. How many like only bananas?
  9. 9.In a group of 48 grown-ups, 26 drink tea, 22 drink coffee and 8 drink both. How many drink neither of the two?
  10. 10.In a group of 26 children, 11 like mangoes, 6 like bananas and 3 like both. How many like at least one of the two?
  11. 11.In a group of 31 children, 8 play cricket, 18 play football and 4 play both. How many play neither of the two?
  12. 12.In a group of 39 grown-ups, 25 drink tea, 12 drink coffee and 8 drink both. How many drink only coffee?
  13. 13.In a group of 32 children, 9 play cricket, 19 play football and 6 play both. How many play neither of the two?
  14. 14.In a group of 19 children, 9 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 30 children, 14 play cricket, 19 play football and 7 play both. How many play neither of the two?
  16. 16.In a group of 30 children, 20 play chess, 12 play carrom and 8 play both. How many play exactly one of the two?
  17. 17.In a group of 40 children, 26 play chess, 21 play carrom and 10 play both. How many play neither of the two?
  18. 18.In a group of 39 children, 15 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 41 children, 21 like mangoes, 24 like bananas and 7 like both. How many like only bananas?
  20. 20.In a group of 35 children, 20 play cricket, 17 play football and 6 play both. How many play only football?
  21. 21.In a group of 30 children, 14 like mangoes, 22 like bananas and 9 like both. How many like exactly one of the two?
  22. 22.In a group of 38 children, 22 play cricket, 20 play football and 8 play both. How many play exactly one of the two?
  23. 23.In a group of 35 children, 9 play cricket, 23 play football and 6 play both. How many play only football?
  24. 24.In a group of 37 children, 21 play cricket, 12 play football and 9 play both. How many play only football?
  25. 25.In a group of 35 children, 20 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 43 children, 20 play chess, 19 play carrom and 6 play both. How many play only chess?
  27. 27.In a group of 47 children, 22 like mangoes, 27 like bananas and 9 like both. How many like only mangoes?
  28. 28.In a group of 31 children, 18 play cricket, 11 play football and 4 play both. How many play neither of the two?
  29. 29.In a group of 40 children, 13 like mangoes, 16 like bananas and 4 like both. How many like only bananas?
  30. 30.In a group of 34 children, 17 like mangoes, 15 like bananas and 7 like both. How many like only mangoes?
  31. 31.In a group of 39 grown-ups, 11 drink tea, 15 drink coffee and 2 drink both. How many drink at least one of the two?
  32. 32.In a group of 28 children, 8 play chess, 9 play carrom and 4 play both. How many play neither of the two?
  33. 33.In a group of 40 children, 20 like mangoes, 22 like bananas and 5 like both. How many like only mangoes?
  34. 34.In a group of 61 children, 29 sing Hindi songs, 29 sing English songs and 11 sing both. How many sing only Hindi songs?
  35. 35.In a group of 45 grown-ups, 29 drink tea, 17 drink coffee and 12 drink both. How many drink neither of the two?
  36. 36.In a group of 55 grown-ups, 24 drink tea, 30 drink coffee and 12 drink both. How many drink at least one of the two?
  37. 37.In a group of 23 children, 8 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 48 children, 27 like mangoes, 30 like bananas and 11 like both. How many like exactly one of the two?
  39. 39.In a group of 44 children, 21 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 32 children, 24 play cricket, 10 play football and 4 play both. How many play at least one of the two?

Answer key

  1. 26
  2. 15
  3. 3
  4. 20
  5. 7
  6. 15
  7. 43
  8. 5
  9. 8
  10. 14
  11. 9
  12. 4
  13. 10
  14. 13
  15. 4
  16. 16
  17. 3
  18. 12
  19. 17
  20. 11
  21. 18
  22. 26
  23. 17
  24. 3
  25. 10
  26. 14
  27. 13
  28. 6
  29. 12
  30. 10
  31. 24
  32. 15
  33. 15
  34. 18
  35. 11
  36. 42
  37. 4
  38. 35
  39. 18
  40. 30

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