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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 514 · 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 36 grown-ups, 30 drink tea, 17 drink coffee and 12 drink both. How many drink only tea?
  2. 2.In a group of 42 children, 8 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing at least one of the two?
  3. 3.In a group of 34 children, 13 enjoy drawing, 13 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 18 children, 6 play chess, 13 play carrom and 3 play both. How many play only carrom?
  5. 5.In a group of 41 children, 21 like mangoes, 24 like bananas and 8 like both. How many like exactly one of the two?
  6. 6.In a group of 40 children, 32 play chess, 17 play carrom and 12 play both. How many play only chess?
  7. 7.In a group of 31 children, 9 play cricket, 17 play football and 5 play both. How many play exactly one of the two?
  8. 8.In a group of 41 grown-ups, 19 drink tea, 28 drink coffee and 12 drink both. How many drink only coffee?
  9. 9.In a group of 31 children, 18 like mangoes, 10 like bananas and 6 like both. How many like exactly one of the two?
  10. 10.In a group of 38 children, 24 play chess, 18 play carrom and 9 play both. How many play exactly one of the two?
  11. 11.In a group of 42 grown-ups, 24 drink tea, 18 drink coffee and 12 drink both. How many drink only coffee?
  12. 12.In a group of 55 children, 30 sing Hindi songs, 29 sing English songs and 11 sing both. How many sing neither of the two?
  13. 13.In a group of 26 grown-ups, 11 drink tea, 6 drink coffee and 2 drink both. How many drink only tea?
  14. 14.In a group of 34 children, 15 play chess, 16 play carrom and 4 play both. How many play exactly one of the two?
  15. 15.In a group of 24 children, 7 like mangoes, 10 like bananas and 2 like both. How many like only bananas?
  16. 16.In a group of 35 children, 10 play chess, 17 play carrom and 4 play both. How many play only chess?
  17. 17.In a group of 20 children, 13 play cricket, 7 play football and 2 play both. How many play at least one of the two?
  18. 18.In a group of 30 children, 21 play chess, 11 play carrom and 4 play both. How many play at least one of the two?
  19. 19.In a group of 30 children, 20 play cricket, 14 play football and 8 play both. How many play exactly one of the two?
  20. 20.In a group of 47 children, 27 sing Hindi songs, 25 sing English songs and 7 sing both. How many sing only English songs?
  21. 21.In a group of 35 children, 20 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 47 children, 20 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing only English songs?
  23. 23.In a group of 38 children, 15 enjoy drawing, 22 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 32 children, 15 like mangoes, 22 like bananas and 11 like both. How many like only bananas?
  25. 25.In a group of 44 children, 20 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  26. 26.In a group of 37 children, 27 sing Hindi songs, 12 sing English songs and 9 sing both. How many sing only Hindi songs?
  27. 27.In a group of 24 children, 5 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 33 children, 14 like mangoes, 27 like bananas and 10 like both. How many like only bananas?
  29. 29.In a group of 30 children, 12 enjoy drawing, 18 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 29 grown-ups, 15 drink tea, 19 drink coffee and 12 drink both. How many drink only coffee?
  31. 31.In a group of 17 children, 8 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing only English songs?
  32. 32.In a group of 34 children, 19 like mangoes, 19 like bananas and 7 like both. How many like exactly one of the two?
  33. 33.In a group of 37 children, 29 enjoy drawing, 15 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 36 grown-ups, 15 drink tea, 22 drink coffee and 3 drink both. How many drink only tea?
  35. 35.In a group of 44 children, 15 enjoy drawing, 23 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 31 children, 6 like mangoes, 15 like bananas and 3 like both. How many like at least one of the two?
  37. 37.In a group of 27 children, 17 like mangoes, 18 like bananas and 9 like both. How many like exactly one of the two?
  38. 38.In a group of 47 children, 21 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  39. 39.In a group of 53 children, 23 like mangoes, 30 like bananas and 10 like both. How many like only mangoes?
  40. 40.In a group of 28 children, 10 play cricket, 15 play football and 3 play both. How many play at least one of the two?

Answer key

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

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