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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 75 · 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 37 children, 18 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing only Hindi songs?
  2. 2.In a group of 43 children, 10 sing Hindi songs, 21 sing English songs and 2 sing both. How many sing neither of the two?
  3. 3.In a group of 40 children, 24 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  4. 4.In a group of 23 children, 15 like mangoes, 10 like bananas and 7 like both. How many like only bananas?
  5. 5.In a group of 34 grown-ups, 27 drink tea, 16 drink coffee and 11 drink both. How many drink neither of the two?
  6. 6.In a group of 33 children, 20 play cricket, 21 play football and 10 play both. How many play exactly one of the two?
  7. 7.In a group of 29 children, 15 enjoy drawing, 18 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 31 children, 15 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing only Hindi songs?
  9. 9.In a group of 42 children, 13 like mangoes, 24 like bananas and 8 like both. How many like at least one of the two?
  10. 10.In a group of 22 children, 14 play chess, 7 play carrom and 4 play both. How many play exactly one of the two?
  11. 11.In a group of 52 children, 23 play chess, 19 play carrom and 5 play both. How many play only carrom?
  12. 12.In a group of 45 children, 27 play cricket, 15 play football and 9 play both. How many play only football?
  13. 13.In a group of 14 children, 5 play cricket, 6 play football and 2 play both. How many play at least one of the two?
  14. 14.In a group of 37 children, 22 play cricket, 9 play football and 2 play both. How many play only football?
  15. 15.In a group of 34 children, 10 like mangoes, 21 like bananas and 6 like both. How many like at least one of the two?
  16. 16.In a group of 36 children, 16 like mangoes, 22 like bananas and 10 like both. How many like at least one of the two?
  17. 17.In a group of 34 grown-ups, 23 drink tea, 11 drink coffee and 8 drink both. How many drink at least one of the two?
  18. 18.In a group of 42 children, 10 play chess, 24 play carrom and 4 play both. How many play only chess?
  19. 19.In a group of 55 children, 30 enjoy drawing, 25 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 23 children, 13 play cricket, 15 play football and 8 play both. How many play only football?
  21. 21.In a group of 22 children, 11 play chess, 13 play carrom and 3 play both. How many play neither of the two?
  22. 22.In a group of 50 children, 28 play cricket, 22 play football and 12 play both. How many play only football?
  23. 23.In a group of 42 children, 11 play chess, 22 play carrom and 4 play both. How many play neither of the two?
  24. 24.In a group of 31 grown-ups, 14 drink tea, 16 drink coffee and 7 drink both. How many drink neither of the two?
  25. 25.In a group of 41 children, 24 like mangoes, 18 like bananas and 5 like both. How many like only bananas?
  26. 26.In a group of 47 children, 21 like mangoes, 14 like bananas and 3 like both. How many like only bananas?
  27. 27.In a group of 46 children, 17 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 32 children, 10 sing Hindi songs, 21 sing English songs and 2 sing both. How many sing exactly one of the two?
  29. 29.In a group of 41 children, 27 sing Hindi songs, 19 sing English songs and 11 sing both. How many sing only Hindi songs?
  30. 30.In a group of 38 grown-ups, 16 drink tea, 21 drink coffee and 3 drink both. How many drink only coffee?
  31. 31.In a group of 47 children, 19 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 48 children, 26 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing neither of the two?
  33. 33.In a group of 46 children, 16 play cricket, 24 play football and 8 play both. How many play neither of the two?
  34. 34.In a group of 27 children, 20 play chess, 13 play carrom and 9 play both. How many play only chess?
  35. 35.In a group of 58 children, 28 play cricket, 28 play football and 12 play both. How many play only football?
  36. 36.In a group of 35 children, 9 play chess, 15 play carrom and 4 play both. How many play exactly one of the two?
  37. 37.In a group of 36 children, 15 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 31 children, 6 like mangoes, 13 like bananas and 2 like both. How many like only bananas?
  39. 39.In a group of 39 grown-ups, 13 drink tea, 20 drink coffee and 8 drink both. How many drink only coffee?
  40. 40.In a group of 45 children, 26 play chess, 16 play carrom and 7 play both. How many play exactly one of the two?

Answer key

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

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