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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 27 · 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 42 grown-ups, 29 drink tea, 19 drink coffee and 11 drink both. How many drink exactly one of the two?
  2. 2.In a group of 19 children, 7 like mangoes, 11 like bananas and 3 like both. How many like exactly one of the two?
  3. 3.In a group of 35 children, 19 play chess, 21 play carrom and 11 play both. How many play neither of the two?
  4. 4.In a group of 55 children, 22 play chess, 26 play carrom and 6 play both. How many play only chess?
  5. 5.In a group of 36 children, 13 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 34 children, 14 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 39 children, 29 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 39 children, 6 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing neither of the two?
  9. 9.In a group of 42 children, 22 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 58 children, 26 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  11. 11.In a group of 24 children, 11 like mangoes, 15 like bananas and 7 like both. How many like exactly one of the two?
  12. 12.In a group of 52 children, 23 like mangoes, 28 like bananas and 10 like both. How many like at least one of the two?
  13. 13.In a group of 24 children, 7 play cricket, 10 play football and 4 play both. How many play neither of the two?
  14. 14.In a group of 42 grown-ups, 17 drink tea, 25 drink coffee and 10 drink both. How many drink only coffee?
  15. 15.In a group of 42 grown-ups, 25 drink tea, 23 drink coffee and 8 drink both. How many drink neither of the two?
  16. 16.In a group of 42 children, 14 play chess, 19 play carrom and 4 play both. How many play at least one of the two?
  17. 17.In a group of 35 children, 21 play cricket, 13 play football and 2 play both. How many play only football?
  18. 18.In a group of 31 children, 23 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing only Hindi songs?
  19. 19.In a group of 58 children, 32 enjoy drawing, 23 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  20. 20.In a group of 47 children, 24 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 25 grown-ups, 7 drink tea, 19 drink coffee and 4 drink both. How many drink neither of the two?
  22. 22.In a group of 39 grown-ups, 22 drink tea, 17 drink coffee and 5 drink both. How many drink at least one of the two?
  23. 23.In a group of 38 grown-ups, 14 drink tea, 19 drink coffee and 7 drink both. How many drink only tea?
  24. 24.In a group of 39 children, 23 play cricket, 15 play football and 4 play both. How many play neither of the two?
  25. 25.In a group of 32 children, 13 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 34 children, 17 play chess, 14 play carrom and 7 play both. How many play only carrom?
  27. 27.In a group of 42 children, 12 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 44 children, 14 play cricket, 20 play football and 4 play both. How many play at least one of the two?
  29. 29.In a group of 40 children, 26 play cricket, 24 play football and 12 play both. How many play neither of the two?
  30. 30.In a group of 43 children, 27 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 29 children, 8 play chess, 15 play carrom and 5 play both. How many play neither of the two?
  32. 32.In a group of 30 children, 12 play cricket, 22 play football and 7 play both. How many play only cricket?
  33. 33.In a group of 34 children, 20 like mangoes, 10 like bananas and 5 like both. How many like only mangoes?
  34. 34.In a group of 34 children, 26 enjoy drawing, 16 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 21 grown-ups, 11 drink tea, 12 drink coffee and 7 drink both. How many drink only tea?
  36. 36.In a group of 22 grown-ups, 9 drink tea, 12 drink coffee and 4 drink both. How many drink only tea?
  37. 37.In a group of 43 children, 21 play chess, 27 play carrom and 11 play both. How many play neither of the two?
  38. 38.In a group of 48 children, 29 like mangoes, 18 like bananas and 10 like both. How many like only bananas?
  39. 39.In a group of 35 children, 16 play chess, 12 play carrom and 6 play both. How many play exactly one of the two?
  40. 40.In a group of 32 grown-ups, 17 drink tea, 16 drink coffee and 10 drink both. How many drink exactly one of the two?

Answer key

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

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