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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 128 · 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 31 children, 27 like mangoes, 15 like bananas and 12 like both. How many like neither of the two?
  2. 2.In a group of 27 children, 7 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 42 grown-ups, 23 drink tea, 14 drink coffee and 4 drink both. How many drink neither of the two?
  4. 4.In a group of 31 grown-ups, 12 drink tea, 19 drink coffee and 4 drink both. How many drink at least one of the two?
  5. 5.In a group of 30 children, 25 like mangoes, 13 like bananas and 9 like both. How many like only mangoes?
  6. 6.In a group of 38 children, 17 play cricket, 26 play football and 10 play both. How many play neither of the two?
  7. 7.In a group of 40 children, 19 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 48 grown-ups, 28 drink tea, 18 drink coffee and 11 drink both. How many drink only coffee?
  9. 9.In a group of 35 children, 15 play cricket, 7 play football and 2 play both. How many play at least one of the two?
  10. 10.In a group of 41 children, 17 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing at least one of the two?
  11. 11.In a group of 37 children, 18 sing Hindi songs, 19 sing English songs and 11 sing both. How many sing only Hindi songs?
  12. 12.In a group of 60 children, 26 like mangoes, 28 like bananas and 9 like both. How many like exactly one of the two?
  13. 13.In a group of 25 children, 13 play cricket, 8 play football and 4 play both. How many play only football?
  14. 14.In a group of 38 children, 26 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing only Hindi songs?
  15. 15.In a group of 45 children, 19 play cricket, 18 play football and 5 play both. How many play only cricket?
  16. 16.In a group of 46 children, 31 play cricket, 24 play football and 12 play both. How many play only football?
  17. 17.In a group of 38 children, 15 play chess, 25 play carrom and 7 play both. How many play at least one of the two?
  18. 18.In a group of 51 grown-ups, 24 drink tea, 25 drink coffee and 10 drink both. How many drink at least one of the two?
  19. 19.In a group of 46 children, 21 sing Hindi songs, 24 sing English songs and 8 sing both. How many sing at least one of the two?
  20. 20.In a group of 36 children, 17 play cricket, 11 play football and 2 play both. How many play exactly one of the two?
  21. 21.In a group of 42 children, 21 sing Hindi songs, 31 sing English songs and 12 sing both. How many sing exactly one of the two?
  22. 22.In a group of 42 grown-ups, 19 drink tea, 26 drink coffee and 6 drink both. How many drink exactly one of the two?
  23. 23.In a group of 17 children, 10 like mangoes, 12 like bananas and 6 like both. How many like exactly one of the two?
  24. 24.In a group of 23 children, 9 sing Hindi songs, 15 sing English songs and 6 sing both. How many sing only Hindi songs?
  25. 25.In a group of 31 children, 8 like mangoes, 15 like bananas and 2 like both. How many like exactly one of the two?
  26. 26.In a group of 36 grown-ups, 14 drink tea, 19 drink coffee and 8 drink both. How many drink neither of the two?
  27. 27.In a group of 41 children, 16 play chess, 19 play carrom and 5 play both. How many play exactly one of the two?
  28. 28.In a group of 37 children, 24 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 42 children, 14 play cricket, 31 play football and 11 play both. How many play only football?
  30. 30.In a group of 43 children, 26 like mangoes, 13 like bananas and 8 like both. How many like exactly one of the two?
  31. 31.In a group of 62 children, 32 like mangoes, 31 like bananas and 12 like both. How many like exactly one of the two?
  32. 32.In a group of 43 grown-ups, 25 drink tea, 20 drink coffee and 6 drink both. How many drink only tea?
  33. 33.In a group of 31 grown-ups, 12 drink tea, 8 drink coffee and 3 drink both. How many drink at least one of the two?
  34. 34.In a group of 50 children, 22 sing Hindi songs, 16 sing English songs and 3 sing both. How many sing neither of the two?
  35. 35.In a group of 49 children, 23 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 22 children, 12 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 31 children, 23 like mangoes, 12 like bananas and 7 like both. How many like only bananas?
  38. 38.In a group of 24 children, 15 play cricket, 9 play football and 2 play both. How many play only football?
  39. 39.In a group of 42 children, 8 play cricket, 22 play football and 3 play both. How many play exactly one of the two?
  40. 40.In a group of 40 children, 13 play cricket, 25 play football and 9 play both. How many play only cricket?

Answer key

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

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