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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 405 · 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 12 children, 6 play chess, 7 play carrom and 2 play both. How many play at least one of the two?
  2. 2.In a group of 43 children, 25 sing Hindi songs, 18 sing English songs and 9 sing both. How many sing only Hindi songs?
  3. 3.In a group of 29 children, 23 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 52 grown-ups, 21 drink tea, 18 drink coffee and 2 drink both. How many drink only coffee?
  5. 5.In a group of 48 children, 13 play cricket, 26 play football and 6 play both. How many play exactly one of the two?
  6. 6.In a group of 40 children, 14 play chess, 21 play carrom and 3 play both. How many play at least one of the two?
  7. 7.In a group of 40 grown-ups, 22 drink tea, 18 drink coffee and 12 drink both. How many drink only tea?
  8. 8.In a group of 45 grown-ups, 18 drink tea, 25 drink coffee and 6 drink both. How many drink at least one of the two?
  9. 9.In a group of 45 children, 24 play cricket, 23 play football and 5 play both. How many play neither of the two?
  10. 10.In a group of 31 children, 11 play cricket, 19 play football and 5 play both. How many play at least one of the two?
  11. 11.In a group of 33 children, 15 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing only Hindi songs?
  12. 12.In a group of 53 children, 23 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 31 children, 22 play chess, 14 play carrom and 9 play both. How many play neither of the two?
  14. 14.In a group of 35 grown-ups, 19 drink tea, 19 drink coffee and 7 drink both. How many drink at least one of the two?
  15. 15.In a group of 26 children, 10 play cricket, 19 play football and 5 play both. How many play at least one of the two?
  16. 16.In a group of 24 children, 10 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 32 children, 10 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing neither of the two?
  18. 18.In a group of 50 grown-ups, 18 drink tea, 23 drink coffee and 4 drink both. How many drink only coffee?
  19. 19.In a group of 47 children, 30 sing Hindi songs, 23 sing English songs and 11 sing both. How many sing only Hindi songs?
  20. 20.In a group of 32 children, 13 enjoy drawing, 14 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  21. 21.In a group of 54 children, 30 play chess, 22 play carrom and 12 play both. How many play exactly one of the two?
  22. 22.In a group of 40 children, 11 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 51 children, 28 play chess, 22 play carrom and 8 play both. How many play only carrom?
  24. 24.In a group of 36 grown-ups, 22 drink tea, 12 drink coffee and 5 drink both. How many drink only coffee?
  25. 25.In a group of 29 children, 14 play chess, 21 play carrom and 8 play both. How many play only chess?
  26. 26.In a group of 39 children, 26 play cricket, 17 play football and 6 play both. How many play at least one of the two?
  27. 27.In a group of 27 children, 18 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  28. 28.In a group of 32 children, 22 like mangoes, 15 like bananas and 6 like both. How many like neither of the two?
  29. 29.In a group of 50 grown-ups, 24 drink tea, 24 drink coffee and 8 drink both. How many drink only tea?
  30. 30.In a group of 29 children, 21 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 17 children, 12 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 34 children, 10 like mangoes, 23 like bananas and 4 like both. How many like neither of the two?
  33. 33.In a group of 42 children, 16 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 31 children, 20 enjoy drawing, 13 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 53 grown-ups, 23 drink tea, 30 drink coffee and 10 drink both. How many drink at least one of the two?
  36. 36.In a group of 21 children, 16 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  37. 37.In a group of 37 children, 15 play chess, 22 play carrom and 12 play both. How many play at least one of the two?
  38. 38.In a group of 46 children, 21 play cricket, 20 play football and 4 play both. How many play at least one of the two?
  39. 39.In a group of 34 grown-ups, 23 drink tea, 10 drink coffee and 6 drink both. How many drink only tea?
  40. 40.In a group of 13 children, 9 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing neither of the two?

Answer key

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

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