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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 98 · 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, 21 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing exactly one of the two?
  2. 2.In a group of 33 children, 18 enjoy drawing, 12 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 42 grown-ups, 22 drink tea, 16 drink coffee and 8 drink both. How many drink exactly one of the two?
  4. 4.In a group of 43 children, 17 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  5. 5.In a group of 51 children, 18 like mangoes, 22 like bananas and 3 like both. How many like only bananas?
  6. 6.In a group of 37 children, 18 play cricket, 29 play football and 12 play both. How many play at least one of the two?
  7. 7.In a group of 36 children, 27 like mangoes, 13 like bananas and 10 like both. How many like only bananas?
  8. 8.In a group of 38 grown-ups, 22 drink tea, 15 drink coffee and 9 drink both. How many drink only coffee?
  9. 9.In a group of 30 children, 18 play cricket, 8 play football and 3 play both. How many play only cricket?
  10. 10.In a group of 24 children, 12 play cricket, 15 play football and 8 play both. How many play only football?
  11. 11.In a group of 51 grown-ups, 20 drink tea, 22 drink coffee and 2 drink both. How many drink only coffee?
  12. 12.In a group of 23 children, 9 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing only English songs?
  13. 13.In a group of 41 children, 16 like mangoes, 24 like bananas and 10 like both. How many like at least one of the two?
  14. 14.In a group of 35 children, 19 play chess, 12 play carrom and 3 play both. How many play at least one of the two?
  15. 15.In a group of 35 children, 16 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing neither of the two?
  16. 16.In a group of 46 children, 29 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 22 children, 17 sing Hindi songs, 15 sing English songs and 11 sing both. How many sing neither of the two?
  18. 18.In a group of 25 children, 8 play cricket, 21 play football and 5 play both. How many play exactly one of the two?
  19. 19.In a group of 46 grown-ups, 28 drink tea, 13 drink coffee and 8 drink both. How many drink only tea?
  20. 20.In a group of 37 children, 22 play cricket, 17 play football and 4 play both. How many play only cricket?
  21. 21.In a group of 28 children, 9 enjoy drawing, 14 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 52 children, 31 enjoy drawing, 21 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 38 children, 20 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing exactly one of the two?
  24. 24.In a group of 55 children, 26 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 36 children, 12 play cricket, 21 play football and 6 play both. How many play only football?
  26. 26.In a group of 34 children, 9 play chess, 22 play carrom and 3 play both. How many play at least one of the two?
  27. 27.In a group of 51 grown-ups, 31 drink tea, 29 drink coffee and 12 drink both. How many drink only tea?
  28. 28.In a group of 30 children, 11 like mangoes, 23 like bananas and 6 like both. How many like only bananas?
  29. 29.In a group of 28 children, 20 like mangoes, 14 like bananas and 9 like both. How many like only bananas?
  30. 30.In a group of 22 children, 10 like mangoes, 14 like bananas and 4 like both. How many like only mangoes?
  31. 31.In a group of 44 children, 26 play chess, 17 play carrom and 9 play both. How many play neither of the two?
  32. 32.In a group of 22 children, 10 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing only Hindi songs?
  33. 33.In a group of 46 children, 16 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 38 grown-ups, 12 drink tea, 25 drink coffee and 8 drink both. How many drink neither of the two?
  35. 35.In a group of 33 grown-ups, 19 drink tea, 16 drink coffee and 11 drink both. How many drink only coffee?
  36. 36.In a group of 27 children, 10 play cricket, 19 play football and 5 play both. How many play neither of the two?
  37. 37.In a group of 18 children, 11 play cricket, 8 play football and 5 play both. How many play neither of the two?
  38. 38.In a group of 35 children, 16 sing Hindi songs, 29 sing English songs and 11 sing both. How many sing exactly one of the two?
  39. 39.In a group of 34 grown-ups, 17 drink tea, 6 drink coffee and 3 drink both. How many drink only tea?
  40. 40.In a group of 42 children, 24 play cricket, 26 play football and 10 play both. How many play exactly one of the two?

Answer key

  1. 19
  2. 24
  3. 22
  4. 23
  5. 19
  6. 35
  7. 3
  8. 6
  9. 15
  10. 7
  11. 20
  12. 4
  13. 30
  14. 28
  15. 11
  16. 20
  17. 1
  18. 19
  19. 20
  20. 18
  21. 17
  22. 41
  23. 20
  24. 44
  25. 15
  26. 28
  27. 19
  28. 17
  29. 5
  30. 6
  31. 10
  32. 5
  33. 19
  34. 9
  35. 5
  36. 3
  37. 4
  38. 23
  39. 14
  40. 30

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