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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 198 · 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, 13 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  2. 2.In a group of 48 children, 24 like mangoes, 25 like bananas and 8 like both. How many like neither of the two?
  3. 3.In a group of 27 children, 12 like mangoes, 14 like bananas and 4 like both. How many like only mangoes?
  4. 4.In a group of 39 children, 15 play cricket, 26 play football and 11 play both. How many play at least one of the two?
  5. 5.In a group of 37 children, 20 like mangoes, 11 like bananas and 3 like both. How many like at least one of the two?
  6. 6.In a group of 34 grown-ups, 18 drink tea, 9 drink coffee and 5 drink both. How many drink only tea?
  7. 7.In a group of 32 children, 20 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 33 children, 22 play cricket, 6 play football and 2 play both. How many play neither of the two?
  9. 9.In a group of 28 grown-ups, 10 drink tea, 14 drink coffee and 6 drink both. How many drink only tea?
  10. 10.In a group of 44 children, 23 play cricket, 25 play football and 11 play both. How many play only cricket?
  11. 11.In a group of 37 children, 22 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing only English songs?
  12. 12.In a group of 24 children, 19 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 49 children, 20 play chess, 19 play carrom and 3 play both. How many play only carrom?
  14. 14.In a group of 45 children, 24 like mangoes, 15 like bananas and 8 like both. How many like only bananas?
  15. 15.In a group of 26 children, 13 play cricket, 13 play football and 4 play both. How many play only football?
  16. 16.In a group of 48 children, 26 like mangoes, 26 like bananas and 11 like both. How many like neither of the two?
  17. 17.In a group of 52 children, 25 play chess, 22 play carrom and 10 play both. How many play only carrom?
  18. 18.In a group of 55 children, 26 play cricket, 26 play football and 8 play both. How many play neither of the two?
  19. 19.In a group of 34 children, 21 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing only Hindi songs?
  20. 20.In a group of 26 children, 20 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing neither of the two?
  21. 21.In a group of 38 children, 20 enjoy drawing, 21 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 30 children, 23 play chess, 11 play carrom and 8 play both. How many play only carrom?
  23. 23.In a group of 24 children, 6 enjoy drawing, 13 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 26 children, 14 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 25 children, 5 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 48 children, 26 play cricket, 23 play football and 11 play both. How many play at least one of the two?
  27. 27.In a group of 47 children, 23 play cricket, 21 play football and 5 play both. How many play only cricket?
  28. 28.In a group of 31 grown-ups, 22 drink tea, 8 drink coffee and 3 drink both. How many drink only coffee?
  29. 29.In a group of 38 children, 10 like mangoes, 20 like bananas and 2 like both. How many like only bananas?
  30. 30.In a group of 46 children, 29 play cricket, 16 play football and 11 play both. How many play at least one of the two?
  31. 31.In a group of 40 children, 30 play cricket, 15 play football and 12 play both. How many play neither of the two?
  32. 32.In a group of 40 children, 10 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 30 grown-ups, 12 drink tea, 21 drink coffee and 7 drink both. How many drink at least one of the two?
  34. 34.In a group of 37 children, 24 like mangoes, 15 like bananas and 12 like both. How many like at least one of the two?
  35. 35.In a group of 42 children, 17 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing at least one of the two?
  36. 36.In a group of 36 children, 16 like mangoes, 22 like bananas and 3 like both. How many like only bananas?
  37. 37.In a group of 32 grown-ups, 18 drink tea, 11 drink coffee and 8 drink both. How many drink only coffee?
  38. 38.In a group of 44 children, 16 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing only English songs?
  39. 39.In a group of 28 children, 12 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 28 children, 13 play chess, 23 play carrom and 10 play both. How many play only chess?

Answer key

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

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