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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 591 · 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, 13 play cricket, 17 play football and 8 play both. How many play exactly one of the two?
  2. 2.In a group of 40 children, 22 like mangoes, 12 like bananas and 6 like both. How many like exactly one of the two?
  3. 3.In a group of 24 children, 6 play cricket, 10 play football and 2 play both. How many play exactly one of the two?
  4. 4.In a group of 49 children, 22 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing exactly one of the two?
  5. 5.In a group of 24 grown-ups, 13 drink tea, 12 drink coffee and 7 drink both. How many drink at least one of the two?
  6. 6.In a group of 36 children, 14 play chess, 22 play carrom and 9 play both. How many play only carrom?
  7. 7.In a group of 39 children, 19 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing only English songs?
  8. 8.In a group of 27 children, 8 play cricket, 22 play football and 4 play both. How many play only cricket?
  9. 9.In a group of 34 children, 15 play cricket, 16 play football and 8 play both. How many play exactly one of the two?
  10. 10.In a group of 19 children, 9 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  11. 11.In a group of 30 children, 13 play chess, 23 play carrom and 8 play both. How many play neither of the two?
  12. 12.In a group of 47 children, 18 play chess, 27 play carrom and 7 play both. How many play neither of the two?
  13. 13.In a group of 36 grown-ups, 22 drink tea, 16 drink coffee and 10 drink both. How many drink only coffee?
  14. 14.In a group of 45 children, 24 play chess, 23 play carrom and 11 play both. How many play only chess?
  15. 15.In a group of 38 children, 16 play chess, 19 play carrom and 5 play both. How many play neither of the two?
  16. 16.In a group of 40 children, 20 sing Hindi songs, 19 sing English songs and 5 sing both. How many sing at least one of the two?
  17. 17.In a group of 44 children, 26 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 36 grown-ups, 12 drink tea, 18 drink coffee and 6 drink both. How many drink only tea?
  19. 19.In a group of 19 children, 8 play cricket, 14 play football and 5 play both. How many play at least one of the two?
  20. 20.In a group of 29 children, 10 play cricket, 18 play football and 7 play both. How many play only cricket?
  21. 21.In a group of 47 children, 28 play cricket, 29 play football and 11 play both. How many play neither of the two?
  22. 22.In a group of 42 grown-ups, 28 drink tea, 21 drink coffee and 12 drink both. How many drink only tea?
  23. 23.In a group of 31 grown-ups, 7 drink tea, 18 drink coffee and 2 drink both. How many drink at least one of the two?
  24. 24.In a group of 40 children, 10 like mangoes, 26 like bananas and 7 like both. How many like neither of the two?
  25. 25.In a group of 32 children, 23 like mangoes, 12 like bananas and 5 like both. How many like only bananas?
  26. 26.In a group of 20 children, 13 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 16 grown-ups, 7 drink tea, 6 drink coffee and 2 drink both. How many drink at least one of the two?
  28. 28.In a group of 55 children, 22 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 38 children, 16 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing neither of the two?
  30. 30.In a group of 32 children, 22 play cricket, 19 play football and 10 play both. How many play only football?
  31. 31.In a group of 25 children, 12 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 44 children, 18 like mangoes, 20 like bananas and 3 like both. How many like at least one of the two?
  33. 33.In a group of 58 grown-ups, 29 drink tea, 30 drink coffee and 10 drink both. How many drink exactly one of the two?
  34. 34.In a group of 38 children, 25 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 35 children, 17 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  36. 36.In a group of 45 children, 27 like mangoes, 22 like bananas and 7 like both. How many like only bananas?
  37. 37.In a group of 48 children, 22 play cricket, 17 play football and 5 play both. How many play only cricket?
  38. 38.In a group of 30 children, 19 play cricket, 17 play football and 8 play both. How many play at least one of the two?
  39. 39.In a group of 45 children, 18 play cricket, 25 play football and 9 play both. How many play at least one of the two?
  40. 40.In a group of 29 children, 20 like mangoes, 13 like bananas and 7 like both. How many like exactly one of the two?

Answer key

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

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