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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 56 · 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 31 children, 21 play cricket, 12 play football and 5 play both. How many play only cricket?
  2. 2.In a group of 46 children, 22 like mangoes, 28 like bananas and 8 like both. How many like only bananas?
  3. 3.In a group of 39 children, 23 play chess, 15 play carrom and 4 play both. How many play only carrom?
  4. 4.In a group of 33 children, 12 enjoy drawing, 13 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 30 children, 22 play chess, 8 play carrom and 2 play both. How many play only carrom?
  6. 6.In a group of 35 grown-ups, 20 drink tea, 9 drink coffee and 3 drink both. How many drink neither of the two?
  7. 7.In a group of 39 children, 10 play chess, 16 play carrom and 2 play both. How many play only carrom?
  8. 8.In a group of 23 children, 11 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 22 children, 7 play cricket, 9 play football and 4 play both. How many play neither of the two?
  10. 10.In a group of 36 children, 10 play chess, 17 play carrom and 2 play both. How many play only carrom?
  11. 11.In a group of 57 children, 28 play cricket, 29 play football and 11 play both. How many play neither of the two?
  12. 12.In a group of 33 grown-ups, 7 drink tea, 23 drink coffee and 3 drink both. How many drink exactly one of the two?
  13. 13.In a group of 45 children, 28 play cricket, 24 play football and 9 play both. How many play only football?
  14. 14.In a group of 29 children, 10 play cricket, 13 play football and 5 play both. How many play neither of the two?
  15. 15.In a group of 41 children, 22 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing exactly one of the two?
  16. 16.In a group of 29 children, 15 play cricket, 20 play football and 12 play both. How many play only football?
  17. 17.In a group of 42 grown-ups, 13 drink tea, 25 drink coffee and 7 drink both. How many drink neither of the two?
  18. 18.In a group of 30 children, 9 play cricket, 21 play football and 3 play both. How many play only cricket?
  19. 19.In a group of 26 grown-ups, 12 drink tea, 18 drink coffee and 6 drink both. How many drink only tea?
  20. 20.In a group of 50 children, 19 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 50 children, 17 play chess, 26 play carrom and 7 play both. How many play only carrom?
  22. 22.In a group of 29 children, 23 like mangoes, 12 like bananas and 8 like both. How many like exactly one of the two?
  23. 23.In a group of 37 children, 23 play cricket, 15 play football and 7 play both. How many play at least one of the two?
  24. 24.In a group of 36 children, 23 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 28 children, 20 play cricket, 18 play football and 12 play both. How many play only football?
  26. 26.In a group of 40 children, 18 play cricket, 29 play football and 11 play both. How many play only cricket?
  27. 27.In a group of 38 children, 23 play cricket, 8 play football and 3 play both. How many play only cricket?
  28. 28.In a group of 31 grown-ups, 11 drink tea, 15 drink coffee and 4 drink both. How many drink at least one of the two?
  29. 29.In a group of 42 children, 15 like mangoes, 20 like bananas and 7 like both. How many like at least one of the two?
  30. 30.In a group of 40 children, 21 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 21 children, 12 sing Hindi songs, 12 sing English songs and 6 sing both. How many sing only English songs?
  32. 32.In a group of 44 children, 27 like mangoes, 20 like bananas and 12 like both. How many like only bananas?
  33. 33.In a group of 27 children, 7 like mangoes, 11 like bananas and 3 like both. How many like at least one of the two?
  34. 34.In a group of 54 children, 25 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 44 children, 14 like mangoes, 28 like bananas and 10 like both. How many like only bananas?
  36. 36.In a group of 33 grown-ups, 25 drink tea, 17 drink coffee and 11 drink both. How many drink only tea?
  37. 37.In a group of 32 children, 21 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  38. 38.In a group of 24 children, 18 like mangoes, 5 like bananas and 2 like both. How many like neither of the two?
  39. 39.In a group of 33 children, 16 like mangoes, 15 like bananas and 2 like both. How many like neither of the two?
  40. 40.In a group of 22 grown-ups, 16 drink tea, 14 drink coffee and 10 drink both. How many drink only coffee?

Answer key

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

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