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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 507 · 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 23 grown-ups, 9 drink tea, 15 drink coffee and 4 drink both. How many drink exactly one of the two?
  2. 2.In a group of 46 children, 22 play cricket, 19 play football and 2 play both. How many play only cricket?
  3. 3.In a group of 28 children, 12 sing Hindi songs, 11 sing English songs and 3 sing both. How many sing only Hindi songs?
  4. 4.In a group of 39 children, 15 play cricket, 19 play football and 4 play both. How many play only cricket?
  5. 5.In a group of 25 children, 11 sing Hindi songs, 15 sing English songs and 2 sing both. How many sing neither of the two?
  6. 6.In a group of 46 children, 17 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 28 children, 18 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 20 children, 12 play cricket, 9 play football and 2 play both. How many play only cricket?
  9. 9.In a group of 22 children, 10 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing only Hindi songs?
  10. 10.In a group of 32 children, 7 play cricket, 24 play football and 4 play both. How many play only cricket?
  11. 11.In a group of 35 children, 17 sing Hindi songs, 21 sing English songs and 9 sing both. How many sing neither of the two?
  12. 12.In a group of 30 children, 10 play chess, 15 play carrom and 6 play both. How many play only chess?
  13. 13.In a group of 32 children, 10 sing Hindi songs, 14 sing English songs and 3 sing both. How many sing only Hindi songs?
  14. 14.In a group of 35 children, 14 play chess, 15 play carrom and 9 play both. How many play neither of the two?
  15. 15.In a group of 45 children, 25 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  16. 16.In a group of 39 grown-ups, 15 drink tea, 14 drink coffee and 4 drink both. How many drink only tea?
  17. 17.In a group of 26 children, 20 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 35 children, 25 like mangoes, 14 like bananas and 11 like both. How many like neither of the two?
  19. 19.In a group of 54 children, 29 sing Hindi songs, 23 sing English songs and 10 sing both. How many sing neither of the two?
  20. 20.In a group of 44 grown-ups, 19 drink tea, 30 drink coffee and 10 drink both. How many drink at least one of the two?
  21. 21.In a group of 38 children, 15 play cricket, 21 play football and 2 play both. How many play only football?
  22. 22.In a group of 52 children, 26 play cricket, 23 play football and 9 play both. How many play only football?
  23. 23.In a group of 38 children, 24 play cricket, 10 play football and 7 play both. How many play only cricket?
  24. 24.In a group of 39 children, 17 like mangoes, 26 like bananas and 10 like both. How many like exactly one of the two?
  25. 25.In a group of 59 children, 31 play cricket, 24 play football and 11 play both. How many play only football?
  26. 26.In a group of 45 children, 25 sing Hindi songs, 22 sing English songs and 7 sing both. How many sing neither of the two?
  27. 27.In a group of 27 children, 13 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 36 children, 24 like mangoes, 13 like bananas and 8 like both. How many like at least one of the two?
  29. 29.In a group of 37 grown-ups, 19 drink tea, 18 drink coffee and 12 drink both. How many drink exactly one of the two?
  30. 30.In a group of 25 children, 19 play cricket, 6 play football and 3 play both. How many play at least one of the two?
  31. 31.In a group of 48 children, 22 like mangoes, 26 like bananas and 11 like both. How many like exactly one of the two?
  32. 32.In a group of 37 children, 15 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 38 children, 14 play cricket, 22 play football and 4 play both. How many play at least one of the two?
  34. 34.In a group of 20 grown-ups, 9 drink tea, 8 drink coffee and 2 drink both. How many drink at least one of the two?
  35. 35.In a group of 28 children, 21 like mangoes, 11 like bananas and 5 like both. How many like at least one of the two?
  36. 36.In a group of 35 children, 5 sing Hindi songs, 19 sing English songs and 2 sing both. How many sing exactly one of the two?
  37. 37.In a group of 32 children, 24 play chess, 14 play carrom and 9 play both. How many play only carrom?
  38. 38.In a group of 38 children, 23 enjoy drawing, 20 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 35 children, 17 like mangoes, 20 like bananas and 9 like both. How many like exactly one of the two?
  40. 40.In a group of 33 children, 12 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing only Hindi songs?

Answer key

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

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