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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 513 · 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 32 children, 14 like mangoes, 14 like bananas and 7 like both. How many like at least one of the two?
  2. 2.In a group of 34 children, 16 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing only Hindi songs?
  3. 3.In a group of 40 children, 25 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing at least one of the two?
  4. 4.In a group of 29 children, 16 play chess, 20 play carrom and 10 play both. How many play exactly one of the two?
  5. 5.In a group of 61 children, 31 like mangoes, 27 like bananas and 12 like both. How many like neither of the two?
  6. 6.In a group of 26 grown-ups, 10 drink tea, 8 drink coffee and 2 drink both. How many drink only coffee?
  7. 7.In a group of 38 children, 9 play cricket, 20 play football and 5 play both. How many play exactly one of the two?
  8. 8.In a group of 29 children, 17 sing Hindi songs, 16 sing English songs and 7 sing both. How many sing only Hindi songs?
  9. 9.In a group of 19 grown-ups, 14 drink tea, 6 drink coffee and 2 drink both. How many drink only coffee?
  10. 10.In a group of 60 children, 27 play cricket, 29 play football and 11 play both. How many play only football?
  11. 11.In a group of 52 grown-ups, 21 drink tea, 20 drink coffee and 4 drink both. How many drink neither of the two?
  12. 12.In a group of 40 children, 20 like mangoes, 27 like bananas and 8 like both. How many like only mangoes?
  13. 13.In a group of 35 children, 23 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 41 grown-ups, 19 drink tea, 22 drink coffee and 2 drink both. How many drink at least one of the two?
  15. 15.In a group of 35 children, 18 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing exactly one of the two?
  16. 16.In a group of 26 children, 9 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  17. 17.In a group of 43 children, 22 sing Hindi songs, 30 sing English songs and 12 sing both. How many sing at least one of the two?
  18. 18.In a group of 41 children, 23 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing exactly one of the two?
  19. 19.In a group of 37 children, 17 like mangoes, 27 like bananas and 10 like both. How many like only mangoes?
  20. 20.In a group of 40 children, 27 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  21. 21.In a group of 49 children, 24 enjoy drawing, 21 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 41 children, 23 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 34 children, 11 enjoy drawing, 23 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  24. 24.In a group of 32 children, 25 like mangoes, 15 like bananas and 11 like both. How many like at least one of the two?
  25. 25.In a group of 51 children, 20 play chess, 24 play carrom and 4 play both. How many play exactly one of the two?
  26. 26.In a group of 35 children, 21 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  27. 27.In a group of 47 children, 21 enjoy drawing, 24 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 26 children, 9 play chess, 15 play carrom and 4 play both. How many play at least one of the two?
  29. 29.In a group of 42 children, 21 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing at least one of the two?
  30. 30.In a group of 48 children, 23 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 45 grown-ups, 16 drink tea, 22 drink coffee and 8 drink both. How many drink at least one of the two?
  32. 32.In a group of 41 grown-ups, 19 drink tea, 12 drink coffee and 2 drink both. How many drink only tea?
  33. 33.In a group of 34 children, 12 play chess, 21 play carrom and 2 play both. How many play at least one of the two?
  34. 34.In a group of 29 children, 22 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing only Hindi songs?
  35. 35.In a group of 31 children, 14 sing Hindi songs, 27 sing English songs and 11 sing both. How many sing neither of the two?
  36. 36.In a group of 45 children, 24 like mangoes, 26 like bananas and 10 like both. How many like only bananas?
  37. 37.In a group of 38 children, 24 like mangoes, 17 like bananas and 11 like both. How many like at least one of the two?
  38. 38.In a group of 38 children, 19 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 42 children, 17 sing Hindi songs, 19 sing English songs and 6 sing both. How many sing neither of the two?
  40. 40.In a group of 37 children, 13 play cricket, 23 play football and 10 play both. How many play exactly one of the two?

Answer key

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

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