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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 524 · 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 28 grown-ups, 23 drink tea, 15 drink coffee and 11 drink both. How many drink only coffee?
  2. 2.In a group of 43 children, 23 like mangoes, 9 like bananas and 4 like both. How many like at least one of the two?
  3. 3.In a group of 43 children, 24 play cricket, 22 play football and 12 play both. How many play only cricket?
  4. 4.In a group of 35 children, 24 like mangoes, 15 like bananas and 7 like both. How many like only bananas?
  5. 5.In a group of 42 grown-ups, 26 drink tea, 14 drink coffee and 10 drink both. How many drink only coffee?
  6. 6.In a group of 25 children, 10 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing only English songs?
  7. 7.In a group of 28 children, 14 like mangoes, 19 like bananas and 9 like both. How many like at least one of the two?
  8. 8.In a group of 32 children, 10 sing Hindi songs, 18 sing English songs and 7 sing both. How many sing only Hindi songs?
  9. 9.In a group of 37 children, 10 enjoy drawing, 22 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 40 children, 15 enjoy drawing, 21 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  11. 11.In a group of 47 children, 20 play cricket, 25 play football and 10 play both. How many play only cricket?
  12. 12.In a group of 45 children, 21 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 25 children, 11 enjoy drawing, 12 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 32 children, 22 play chess, 9 play carrom and 3 play both. How many play neither of the two?
  15. 15.In a group of 49 grown-ups, 26 drink tea, 31 drink coffee and 12 drink both. How many drink only coffee?
  16. 16.In a group of 31 grown-ups, 13 drink tea, 22 drink coffee and 9 drink both. How many drink exactly one of the two?
  17. 17.In a group of 17 children, 12 play cricket, 8 play football and 4 play both. How many play neither of the two?
  18. 18.In a group of 39 children, 15 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing at least one of the two?
  19. 19.In a group of 42 children, 27 play chess, 14 play carrom and 7 play both. How many play exactly one of the two?
  20. 20.In a group of 56 children, 25 play chess, 24 play carrom and 6 play both. How many play neither of the two?
  21. 21.In a group of 34 children, 16 play cricket, 20 play football and 3 play both. How many play exactly one of the two?
  22. 22.In a group of 24 grown-ups, 15 drink tea, 8 drink coffee and 2 drink both. How many drink neither of the two?
  23. 23.In a group of 50 children, 15 play cricket, 22 play football and 2 play both. How many play only football?
  24. 24.In a group of 38 children, 16 play chess, 25 play carrom and 10 play both. How many play neither of the two?
  25. 25.In a group of 27 children, 18 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  26. 26.In a group of 28 grown-ups, 15 drink tea, 11 drink coffee and 8 drink both. How many drink only coffee?
  27. 27.In a group of 23 children, 16 play cricket, 14 play football and 11 play both. How many play at least one of the two?
  28. 28.In a group of 40 children, 16 play cricket, 21 play football and 6 play both. How many play only cricket?
  29. 29.In a group of 44 grown-ups, 26 drink tea, 27 drink coffee and 11 drink both. How many drink at least one of the two?
  30. 30.In a group of 46 grown-ups, 23 drink tea, 19 drink coffee and 10 drink both. How many drink neither of the two?
  31. 31.In a group of 24 children, 15 play chess, 12 play carrom and 7 play both. How many play neither of the two?
  32. 32.In a group of 17 children, 7 like mangoes, 8 like bananas and 2 like both. How many like only mangoes?
  33. 33.In a group of 35 children, 12 play cricket, 17 play football and 7 play both. How many play at least one of the two?
  34. 34.In a group of 18 children, 6 play chess, 13 play carrom and 2 play both. How many play at least one of the two?
  35. 35.In a group of 31 children, 20 like mangoes, 12 like bananas and 4 like both. How many like exactly one of the two?
  36. 36.In a group of 34 children, 15 like mangoes, 15 like bananas and 11 like both. How many like neither of the two?
  37. 37.In a group of 27 grown-ups, 6 drink tea, 18 drink coffee and 2 drink both. How many drink only tea?
  38. 38.In a group of 35 children, 19 play cricket, 17 play football and 5 play both. How many play at least one of the two?
  39. 39.In a group of 37 grown-ups, 18 drink tea, 17 drink coffee and 4 drink both. How many drink neither of the two?
  40. 40.In a group of 59 children, 27 play cricket, 31 play football and 11 play both. How many play at least one of the two?

Answer key

  1. 4
  2. 28
  3. 12
  4. 8
  5. 4
  6. 4
  7. 24
  8. 3
  9. 22
  10. 14
  11. 10
  12. 4
  13. 5
  14. 4
  15. 19
  16. 17
  17. 1
  18. 35
  19. 27
  20. 13
  21. 30
  22. 3
  23. 20
  24. 7
  25. 6
  26. 3
  27. 19
  28. 10
  29. 42
  30. 14
  31. 4
  32. 5
  33. 22
  34. 17
  35. 24
  36. 15
  37. 4
  38. 31
  39. 6
  40. 47

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