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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 245 · 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 57 children, 29 play cricket, 28 play football and 10 play both. How many play only football?
  2. 2.In a group of 34 children, 17 play chess, 11 play carrom and 6 play both. How many play only chess?
  3. 3.In a group of 36 children, 10 play cricket, 18 play football and 3 play both. How many play only football?
  4. 4.In a group of 45 children, 22 play cricket, 23 play football and 5 play both. How many play neither of the two?
  5. 5.In a group of 21 grown-ups, 11 drink tea, 7 drink coffee and 4 drink both. How many drink only tea?
  6. 6.In a group of 37 grown-ups, 11 drink tea, 23 drink coffee and 8 drink both. How many drink only tea?
  7. 7.In a group of 38 children, 20 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 31 children, 16 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 41 grown-ups, 15 drink tea, 21 drink coffee and 4 drink both. How many drink only tea?
  10. 10.In a group of 42 children, 18 like mangoes, 13 like bananas and 2 like both. How many like at least one of the two?
  11. 11.In a group of 24 children, 17 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing only Hindi songs?
  12. 12.In a group of 20 children, 14 play cricket, 13 play football and 8 play both. How many play exactly one of the two?
  13. 13.In a group of 36 grown-ups, 12 drink tea, 19 drink coffee and 5 drink both. How many drink only coffee?
  14. 14.In a group of 34 children, 19 play cricket, 15 play football and 5 play both. How many play only cricket?
  15. 15.In a group of 40 children, 21 play chess, 8 play carrom and 2 play both. How many play only chess?
  16. 16.In a group of 38 grown-ups, 19 drink tea, 18 drink coffee and 7 drink both. How many drink neither of the two?
  17. 17.In a group of 47 children, 28 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 31 children, 14 play cricket, 18 play football and 7 play both. How many play only football?
  19. 19.In a group of 43 children, 27 play chess, 22 play carrom and 10 play both. How many play only chess?
  20. 20.In a group of 40 children, 25 play cricket, 19 play football and 8 play both. How many play only football?
  21. 21.In a group of 42 children, 15 sing Hindi songs, 26 sing English songs and 9 sing both. How many sing neither of the two?
  22. 22.In a group of 33 children, 19 play cricket, 15 play football and 4 play both. How many play exactly one of the two?
  23. 23.In a group of 43 children, 19 play cricket, 16 play football and 4 play both. How many play at least one of the two?
  24. 24.In a group of 30 children, 14 like mangoes, 16 like bananas and 11 like both. How many like at least one of the two?
  25. 25.In a group of 51 children, 24 like mangoes, 23 like bananas and 6 like both. How many like exactly one of the two?
  26. 26.In a group of 53 children, 23 sing Hindi songs, 23 sing English songs and 6 sing both. How many sing neither of the two?
  27. 27.In a group of 35 grown-ups, 19 drink tea, 20 drink coffee and 11 drink both. How many drink only coffee?
  28. 28.In a group of 45 children, 19 play chess, 21 play carrom and 8 play both. How many play only carrom?
  29. 29.In a group of 42 children, 15 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 45 children, 19 sing Hindi songs, 22 sing English songs and 11 sing both. How many sing only Hindi songs?
  31. 31.In a group of 48 children, 18 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 38 children, 24 play cricket, 22 play football and 11 play both. How many play exactly one of the two?
  33. 33.In a group of 50 children, 24 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 45 children, 22 play cricket, 14 play football and 5 play both. How many play only football?
  35. 35.In a group of 32 children, 20 like mangoes, 9 like bananas and 2 like both. How many like neither of the two?
  36. 36.In a group of 31 children, 9 enjoy drawing, 13 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  37. 37.In a group of 51 grown-ups, 28 drink tea, 21 drink coffee and 10 drink both. How many drink at least one of the two?
  38. 38.In a group of 19 children, 11 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing only English songs?
  39. 39.In a group of 41 children, 15 sing Hindi songs, 31 sing English songs and 11 sing both. How many sing neither of the two?
  40. 40.In a group of 30 children, 19 play cricket, 11 play football and 4 play both. How many play only cricket?

Answer key

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

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