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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 497 · 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 41 children, 20 enjoy drawing, 14 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  2. 2.In a group of 39 children, 21 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  3. 3.In a group of 26 children, 17 play chess, 10 play carrom and 7 play both. How many play only chess?
  4. 4.In a group of 42 children, 20 play cricket, 11 play football and 3 play both. How many play only football?
  5. 5.In a group of 37 children, 23 like mangoes, 11 like bananas and 7 like both. How many like at least one of the two?
  6. 6.In a group of 32 children, 22 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing only Hindi songs?
  7. 7.In a group of 43 children, 26 play cricket, 20 play football and 7 play both. How many play at least one of the two?
  8. 8.In a group of 39 children, 13 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing neither of the two?
  9. 9.In a group of 39 children, 19 sing Hindi songs, 13 sing English songs and 8 sing both. How many sing neither of the two?
  10. 10.In a group of 34 children, 16 play cricket, 27 play football and 12 play both. How many play only cricket?
  11. 11.In a group of 45 children, 25 play cricket, 21 play football and 5 play both. How many play only football?
  12. 12.In a group of 30 children, 23 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 35 children, 22 play chess, 15 play carrom and 5 play both. How many play at least one of the two?
  14. 14.In a group of 41 children, 19 play chess, 19 play carrom and 10 play both. How many play at least one of the two?
  15. 15.In a group of 35 children, 27 play chess, 16 play carrom and 11 play both. How many play only carrom?
  16. 16.In a group of 47 children, 21 enjoy drawing, 26 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 25 grown-ups, 16 drink tea, 15 drink coffee and 7 drink both. How many drink at least one of the two?
  18. 18.In a group of 28 children, 14 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 22 children, 8 like mangoes, 8 like bananas and 4 like both. How many like exactly one of the two?
  20. 20.In a group of 44 grown-ups, 20 drink tea, 17 drink coffee and 4 drink both. How many drink only tea?
  21. 21.In a group of 31 children, 22 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 28 grown-ups, 16 drink tea, 13 drink coffee and 6 drink both. How many drink exactly one of the two?
  23. 23.In a group of 35 children, 13 like mangoes, 24 like bananas and 10 like both. How many like exactly one of the two?
  24. 24.In a group of 33 grown-ups, 18 drink tea, 5 drink coffee and 2 drink both. How many drink only coffee?
  25. 25.In a group of 31 children, 12 play cricket, 24 play football and 9 play both. How many play only football?
  26. 26.In a group of 47 children, 14 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 35 children, 6 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing exactly one of the two?
  28. 28.In a group of 38 children, 25 like mangoes, 15 like bananas and 6 like both. How many like only mangoes?
  29. 29.In a group of 32 children, 10 like mangoes, 9 like bananas and 2 like both. How many like exactly one of the two?
  30. 30.In a group of 52 children, 23 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 44 children, 22 play cricket, 19 play football and 5 play both. How many play neither of the two?
  32. 32.In a group of 27 children, 15 play chess, 12 play carrom and 4 play both. How many play only chess?
  33. 33.In a group of 43 children, 17 like mangoes, 27 like bananas and 10 like both. How many like only mangoes?
  34. 34.In a group of 29 children, 12 play cricket, 21 play football and 9 play both. How many play only football?
  35. 35.In a group of 36 children, 21 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing neither of the two?
  36. 36.In a group of 29 children, 14 play cricket, 16 play football and 4 play both. How many play exactly one of the two?
  37. 37.In a group of 50 children, 22 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 35 grown-ups, 19 drink tea, 18 drink coffee and 10 drink both. How many drink at least one of the two?
  39. 39.In a group of 43 grown-ups, 22 drink tea, 15 drink coffee and 6 drink both. How many drink only coffee?
  40. 40.In a group of 49 children, 28 like mangoes, 19 like bananas and 9 like both. How many like only bananas?

Answer key

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

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