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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 7 · 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 29 children, 19 play chess, 8 play carrom and 3 play both. How many play only chess?
  2. 2.In a group of 46 children, 25 enjoy drawing, 22 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 48 children, 21 play chess, 24 play carrom and 4 play both. How many play exactly one of the two?
  4. 4.In a group of 22 grown-ups, 10 drink tea, 11 drink coffee and 7 drink both. How many drink at least one of the two?
  5. 5.In a group of 42 children, 15 play chess, 19 play carrom and 2 play both. How many play exactly one of the two?
  6. 6.In a group of 41 children, 18 play cricket, 13 play football and 2 play both. How many play only cricket?
  7. 7.In a group of 37 children, 9 play chess, 26 play carrom and 6 play both. How many play at least one of the two?
  8. 8.In a group of 56 children, 21 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 32 children, 15 play chess, 19 play carrom and 11 play both. How many play only chess?
  10. 10.In a group of 36 grown-ups, 16 drink tea, 28 drink coffee and 9 drink both. How many drink only coffee?
  11. 11.In a group of 36 children, 9 like mangoes, 17 like bananas and 3 like both. How many like only mangoes?
  12. 12.In a group of 29 children, 15 play chess, 17 play carrom and 9 play both. How many play only carrom?
  13. 13.In a group of 33 grown-ups, 11 drink tea, 19 drink coffee and 4 drink both. How many drink at least one of the two?
  14. 14.In a group of 44 children, 25 play chess, 15 play carrom and 6 play both. How many play exactly one of the two?
  15. 15.In a group of 24 children, 15 like mangoes, 11 like bananas and 7 like both. How many like only bananas?
  16. 16.In a group of 20 children, 12 play chess, 9 play carrom and 2 play both. How many play at least one of the two?
  17. 17.In a group of 23 children, 15 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  18. 18.In a group of 35 grown-ups, 21 drink tea, 21 drink coffee and 8 drink both. How many drink only coffee?
  19. 19.In a group of 28 children, 17 enjoy drawing, 17 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 42 children, 23 play chess, 22 play carrom and 6 play both. How many play only carrom?
  21. 21.In a group of 36 children, 23 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing only English songs?
  22. 22.In a group of 47 children, 29 like mangoes, 12 like bananas and 9 like both. How many like only bananas?
  23. 23.In a group of 31 children, 14 play cricket, 17 play football and 6 play both. How many play exactly one of the two?
  24. 24.In a group of 45 children, 28 play cricket, 18 play football and 10 play both. How many play only cricket?
  25. 25.In a group of 46 grown-ups, 29 drink tea, 12 drink coffee and 9 drink both. How many drink at least one of the two?
  26. 26.In a group of 43 children, 22 like mangoes, 20 like bananas and 12 like both. How many like at least one of the two?
  27. 27.In a group of 30 children, 15 play chess, 23 play carrom and 12 play both. How many play at least one of the two?
  28. 28.In a group of 40 children, 25 play cricket, 19 play football and 12 play both. How many play only football?
  29. 29.In a group of 45 children, 21 play cricket, 23 play football and 5 play both. How many play only football?
  30. 30.In a group of 46 grown-ups, 22 drink tea, 20 drink coffee and 9 drink both. How many drink only tea?
  31. 31.In a group of 47 children, 24 like mangoes, 15 like bananas and 7 like both. How many like at least one of the two?
  32. 32.In a group of 45 grown-ups, 30 drink tea, 17 drink coffee and 11 drink both. How many drink at least one of the two?
  33. 33.In a group of 28 children, 14 play cricket, 17 play football and 11 play both. How many play only football?
  34. 34.In a group of 29 children, 12 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing exactly one of the two?
  35. 35.In a group of 47 children, 27 sing Hindi songs, 26 sing English songs and 9 sing both. How many sing neither of the two?
  36. 36.In a group of 44 children, 25 sing Hindi songs, 27 sing English songs and 9 sing both. How many sing at least one of the two?
  37. 37.In a group of 41 children, 18 play chess, 32 play carrom and 12 play both. How many play only carrom?
  38. 38.In a group of 23 children, 13 play chess, 10 play carrom and 5 play both. How many play only carrom?
  39. 39.In a group of 51 children, 24 play cricket, 25 play football and 8 play both. How many play only cricket?
  40. 40.In a group of 29 children, 16 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing at least one of the two?

Answer key

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

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