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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 103 · 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 17 children, 9 like mangoes, 11 like bananas and 5 like both. How many like at least one of the two?
  2. 2.In a group of 45 children, 25 play chess, 13 play carrom and 6 play both. How many play neither of the two?
  3. 3.In a group of 46 children, 21 play cricket, 21 play football and 10 play both. How many play only football?
  4. 4.In a group of 26 children, 10 play chess, 15 play carrom and 3 play both. How many play exactly one of the two?
  5. 5.In a group of 57 children, 31 play chess, 27 play carrom and 12 play both. How many play neither of the two?
  6. 6.In a group of 44 children, 20 enjoy drawing, 25 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  7. 7.In a group of 27 children, 11 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 38 children, 16 enjoy drawing, 19 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  9. 9.In a group of 50 children, 22 play cricket, 20 play football and 6 play both. How many play exactly one of the two?
  10. 10.In a group of 39 children, 15 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing neither of the two?
  11. 11.In a group of 29 children, 12 like mangoes, 5 like bananas and 2 like both. How many like neither of the two?
  12. 12.In a group of 40 children, 28 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 26 children, 10 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing only Hindi songs?
  14. 14.In a group of 22 children, 14 play cricket, 8 play football and 2 play both. How many play only cricket?
  15. 15.In a group of 34 grown-ups, 10 drink tea, 25 drink coffee and 5 drink both. How many drink only tea?
  16. 16.In a group of 37 children, 23 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 21 children, 9 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 48 children, 28 play cricket, 26 play football and 12 play both. How many play neither of the two?
  19. 19.In a group of 42 children, 23 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 47 children, 13 play cricket, 23 play football and 3 play both. How many play exactly one of the two?
  21. 21.In a group of 39 children, 28 play chess, 16 play carrom and 11 play both. How many play only carrom?
  22. 22.In a group of 33 grown-ups, 20 drink tea, 8 drink coffee and 4 drink both. How many drink only tea?
  23. 23.In a group of 34 children, 12 play chess, 18 play carrom and 2 play both. How many play only carrom?
  24. 24.In a group of 29 children, 11 like mangoes, 20 like bananas and 5 like both. How many like exactly one of the two?
  25. 25.In a group of 33 children, 9 play cricket, 21 play football and 6 play both. How many play only cricket?
  26. 26.In a group of 52 grown-ups, 20 drink tea, 26 drink coffee and 8 drink both. How many drink at least one of the two?
  27. 27.In a group of 44 grown-ups, 28 drink tea, 22 drink coffee and 10 drink both. How many drink only tea?
  28. 28.In a group of 39 children, 15 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing only Hindi songs?
  29. 29.In a group of 26 children, 18 play chess, 9 play carrom and 5 play both. How many play at least one of the two?
  30. 30.In a group of 39 children, 22 play cricket, 11 play football and 4 play both. How many play only cricket?
  31. 31.In a group of 41 children, 21 play chess, 15 play carrom and 4 play both. How many play only carrom?
  32. 32.In a group of 34 children, 18 like mangoes, 9 like bananas and 2 like both. How many like exactly one of the two?
  33. 33.In a group of 42 grown-ups, 15 drink tea, 29 drink coffee and 9 drink both. How many drink only coffee?
  34. 34.In a group of 37 children, 16 play cricket, 19 play football and 2 play both. How many play only cricket?
  35. 35.In a group of 49 children, 16 play cricket, 27 play football and 9 play both. How many play at least one of the two?
  36. 36.In a group of 31 children, 8 play chess, 22 play carrom and 2 play both. How many play only carrom?
  37. 37.In a group of 52 children, 30 play chess, 27 play carrom and 10 play both. How many play exactly one of the two?
  38. 38.In a group of 54 grown-ups, 30 drink tea, 20 drink coffee and 11 drink both. How many drink only tea?
  39. 39.In a group of 45 children, 12 play chess, 25 play carrom and 5 play both. How many play only chess?
  40. 40.In a group of 32 children, 13 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing exactly one of the two?

Answer key

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

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