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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 637 · 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 33 children, 9 like mangoes, 24 like bananas and 4 like both. How many like only mangoes?
  2. 2.In a group of 52 children, 20 play cricket, 29 play football and 9 play both. How many play neither of the two?
  3. 3.In a group of 39 children, 22 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing exactly one of the two?
  4. 4.In a group of 48 children, 19 sing Hindi songs, 19 sing English songs and 5 sing both. How many sing only English songs?
  5. 5.In a group of 28 grown-ups, 18 drink tea, 12 drink coffee and 3 drink both. How many drink only coffee?
  6. 6.In a group of 47 children, 26 like mangoes, 27 like bananas and 10 like both. How many like at least one of the two?
  7. 7.In a group of 33 children, 12 play chess, 11 play carrom and 4 play both. How many play at least one of the two?
  8. 8.In a group of 30 children, 13 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 31 grown-ups, 18 drink tea, 14 drink coffee and 10 drink both. How many drink only coffee?
  10. 10.In a group of 42 children, 20 like mangoes, 22 like bananas and 7 like both. How many like only mangoes?
  11. 11.In a group of 34 children, 11 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing only Hindi songs?
  12. 12.In a group of 48 children, 18 sing Hindi songs, 25 sing English songs and 8 sing both. How many sing neither of the two?
  13. 13.In a group of 40 children, 14 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 39 grown-ups, 24 drink tea, 10 drink coffee and 6 drink both. How many drink neither of the two?
  15. 15.In a group of 26 children, 17 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing neither of the two?
  16. 16.In a group of 23 children, 8 play cricket, 9 play football and 4 play both. How many play at least one of the two?
  17. 17.In a group of 48 grown-ups, 18 drink tea, 27 drink coffee and 11 drink both. How many drink only tea?
  18. 18.In a group of 26 children, 11 like mangoes, 11 like bananas and 8 like both. How many like at least one of the two?
  19. 19.In a group of 31 children, 9 play chess, 19 play carrom and 4 play both. How many play exactly one of the two?
  20. 20.In a group of 50 children, 28 play cricket, 18 play football and 11 play both. How many play neither of the two?
  21. 21.In a group of 38 children, 15 play cricket, 24 play football and 9 play both. How many play only football?
  22. 22.In a group of 37 children, 17 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 32 children, 19 enjoy drawing, 16 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 34 children, 18 play chess, 24 play carrom and 10 play both. How many play only carrom?
  25. 25.In a group of 23 grown-ups, 5 drink tea, 11 drink coffee and 2 drink both. How many drink only coffee?
  26. 26.In a group of 41 grown-ups, 15 drink tea, 24 drink coffee and 9 drink both. How many drink exactly one of the two?
  27. 27.In a group of 41 children, 20 like mangoes, 19 like bananas and 6 like both. How many like neither of the two?
  28. 28.In a group of 48 children, 24 like mangoes, 30 like bananas and 12 like both. How many like only mangoes?
  29. 29.In a group of 33 grown-ups, 17 drink tea, 20 drink coffee and 5 drink both. How many drink only coffee?
  30. 30.In a group of 32 children, 15 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 24 children, 15 play cricket, 17 play football and 11 play both. How many play only cricket?
  32. 32.In a group of 32 grown-ups, 17 drink tea, 13 drink coffee and 2 drink both. How many drink neither of the two?
  33. 33.In a group of 17 children, 13 sing Hindi songs, 12 sing English songs and 9 sing both. How many sing only Hindi songs?
  34. 34.In a group of 24 grown-ups, 16 drink tea, 13 drink coffee and 9 drink both. How many drink only tea?
  35. 35.In a group of 35 grown-ups, 22 drink tea, 14 drink coffee and 11 drink both. How many drink only coffee?
  36. 36.In a group of 46 children, 27 like mangoes, 19 like bananas and 11 like both. How many like neither of the two?
  37. 37.In a group of 23 children, 16 play cricket, 6 play football and 2 play both. How many play only cricket?
  38. 38.In a group of 30 children, 10 play cricket, 22 play football and 3 play both. How many play only cricket?
  39. 39.In a group of 30 children, 12 sing Hindi songs, 19 sing English songs and 2 sing both. How many sing only English songs?
  40. 40.In a group of 30 children, 19 play cricket, 8 play football and 3 play both. How many play at least one of the two?

Answer key

  1. 5
  2. 12
  3. 34
  4. 14
  5. 9
  6. 43
  7. 19
  8. 14
  9. 4
  10. 13
  11. 6
  12. 13
  13. 15
  14. 11
  15. 5
  16. 13
  17. 7
  18. 14
  19. 20
  20. 15
  21. 15
  22. 15
  23. 7
  24. 14
  25. 9
  26. 21
  27. 8
  28. 12
  29. 15
  30. 29
  31. 4
  32. 4
  33. 4
  34. 7
  35. 3
  36. 11
  37. 14
  38. 7
  39. 17
  40. 24

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