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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 289 · 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 43 children, 25 like mangoes, 12 like bananas and 9 like both. How many like only bananas?
  2. 2.In a group of 47 grown-ups, 23 drink tea, 16 drink coffee and 5 drink both. How many drink at least one of the two?
  3. 3.In a group of 18 children, 6 play cricket, 9 play football and 2 play both. How many play exactly one of the two?
  4. 4.In a group of 31 grown-ups, 15 drink tea, 6 drink coffee and 2 drink both. How many drink only tea?
  5. 5.In a group of 44 children, 13 play cricket, 28 play football and 10 play both. How many play only cricket?
  6. 6.In a group of 50 children, 23 enjoy drawing, 28 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 35 children, 21 sing Hindi songs, 23 sing English songs and 12 sing both. How many sing only Hindi songs?
  8. 8.In a group of 32 grown-ups, 17 drink tea, 7 drink coffee and 4 drink both. How many drink only coffee?
  9. 9.In a group of 26 children, 18 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing neither of the two?
  10. 10.In a group of 21 children, 10 like mangoes, 12 like bananas and 3 like both. How many like only mangoes?
  11. 11.In a group of 47 children, 23 play chess, 25 play carrom and 7 play both. How many play only carrom?
  12. 12.In a group of 39 children, 20 sing Hindi songs, 22 sing English songs and 7 sing both. How many sing only English songs?
  13. 13.In a group of 29 children, 9 sing Hindi songs, 19 sing English songs and 6 sing both. How many sing exactly one of the two?
  14. 14.In a group of 50 children, 24 play cricket, 23 play football and 10 play both. How many play exactly one of the two?
  15. 15.In a group of 30 grown-ups, 13 drink tea, 16 drink coffee and 2 drink both. How many drink only tea?
  16. 16.In a group of 36 grown-ups, 19 drink tea, 21 drink coffee and 11 drink both. How many drink neither of the two?
  17. 17.In a group of 38 children, 17 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 27 grown-ups, 9 drink tea, 13 drink coffee and 4 drink both. How many drink exactly one of the two?
  19. 19.In a group of 34 children, 17 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 33 children, 26 play cricket, 13 play football and 7 play both. How many play only football?
  21. 21.In a group of 35 children, 14 play cricket, 15 play football and 7 play both. How many play only football?
  22. 22.In a group of 42 children, 21 enjoy drawing, 31 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  23. 23.In a group of 33 children, 23 like mangoes, 11 like bananas and 7 like both. How many like only mangoes?
  24. 24.In a group of 39 children, 16 play cricket, 24 play football and 7 play both. How many play at least one of the two?
  25. 25.In a group of 47 grown-ups, 15 drink tea, 29 drink coffee and 9 drink both. How many drink at least one of the two?
  26. 26.In a group of 22 children, 7 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 40 children, 24 play cricket, 15 play football and 6 play both. How many play only football?
  28. 28.In a group of 38 children, 19 play cricket, 14 play football and 8 play both. How many play only football?
  29. 29.In a group of 35 children, 19 play chess, 17 play carrom and 7 play both. How many play neither of the two?
  30. 30.In a group of 33 grown-ups, 25 drink tea, 12 drink coffee and 6 drink both. How many drink only coffee?
  31. 31.In a group of 50 grown-ups, 20 drink tea, 24 drink coffee and 8 drink both. How many drink only tea?
  32. 32.In a group of 49 children, 23 play chess, 28 play carrom and 10 play both. How many play at least one of the two?
  33. 33.In a group of 26 children, 11 play chess, 15 play carrom and 7 play both. How many play exactly one of the two?
  34. 34.In a group of 34 children, 17 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  35. 35.In a group of 43 grown-ups, 22 drink tea, 25 drink coffee and 7 drink both. How many drink only coffee?
  36. 36.In a group of 35 children, 9 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing exactly one of the two?
  37. 37.In a group of 32 children, 25 play cricket, 9 play football and 6 play both. How many play neither of the two?
  38. 38.In a group of 35 children, 15 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 27 children, 11 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 40 children, 18 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing only Hindi songs?

Answer key

  1. 3
  2. 34
  3. 11
  4. 13
  5. 3
  6. 35
  7. 9
  8. 3
  9. 2
  10. 7
  11. 18
  12. 15
  13. 16
  14. 27
  15. 11
  16. 7
  17. 31
  18. 14
  19. 26
  20. 6
  21. 8
  22. 1
  23. 16
  24. 33
  25. 35
  26. 13
  27. 9
  28. 6
  29. 6
  30. 6
  31. 12
  32. 41
  33. 12
  34. 21
  35. 18
  36. 25
  37. 4
  38. 4
  39. 11
  40. 16

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