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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 50 · 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 22 grown-ups, 11 drink tea, 13 drink coffee and 7 drink both. How many drink only coffee?
  2. 2.In a group of 24 children, 12 play cricket, 10 play football and 4 play both. How many play only cricket?
  3. 3.In a group of 24 children, 18 play cricket, 13 play football and 9 play both. How many play neither of the two?
  4. 4.In a group of 35 grown-ups, 9 drink tea, 17 drink coffee and 6 drink both. How many drink only tea?
  5. 5.In a group of 25 grown-ups, 12 drink tea, 17 drink coffee and 8 drink both. How many drink only tea?
  6. 6.In a group of 44 children, 21 play chess, 22 play carrom and 6 play both. How many play only carrom?
  7. 7.In a group of 52 grown-ups, 24 drink tea, 17 drink coffee and 4 drink both. How many drink neither of the two?
  8. 8.In a group of 24 children, 11 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  9. 9.In a group of 48 children, 26 play cricket, 19 play football and 10 play both. How many play only cricket?
  10. 10.In a group of 18 children, 9 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 23 children, 16 play cricket, 15 play football and 10 play both. How many play exactly one of the two?
  12. 12.In a group of 42 children, 28 like mangoes, 18 like bananas and 11 like both. How many like neither of the two?
  13. 13.In a group of 39 grown-ups, 18 drink tea, 25 drink coffee and 11 drink both. How many drink neither of the two?
  14. 14.In a group of 37 children, 15 sing Hindi songs, 20 sing English songs and 8 sing both. How many sing neither of the two?
  15. 15.In a group of 40 children, 18 like mangoes, 25 like bananas and 10 like both. How many like only bananas?
  16. 16.In a group of 38 children, 12 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing only Hindi songs?
  17. 17.In a group of 34 children, 24 play chess, 14 play carrom and 8 play both. How many play only carrom?
  18. 18.In a group of 37 children, 10 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 25 children, 14 play cricket, 11 play football and 3 play both. How many play neither of the two?
  20. 20.In a group of 35 children, 7 like mangoes, 19 like bananas and 3 like both. How many like exactly one of the two?
  21. 21.In a group of 18 children, 5 like mangoes, 12 like bananas and 2 like both. How many like at least one of the two?
  22. 22.In a group of 33 children, 17 like mangoes, 16 like bananas and 11 like both. How many like at least one of the two?
  23. 23.In a group of 50 children, 20 play chess, 26 play carrom and 7 play both. How many play at least one of the two?
  24. 24.In a group of 41 children, 25 like mangoes, 22 like bananas and 12 like both. How many like only mangoes?
  25. 25.In a group of 47 children, 24 play cricket, 28 play football and 12 play both. How many play neither of the two?
  26. 26.In a group of 33 children, 18 like mangoes, 16 like bananas and 10 like both. How many like at least one of the two?
  27. 27.In a group of 34 grown-ups, 20 drink tea, 12 drink coffee and 8 drink both. How many drink at least one of the two?
  28. 28.In a group of 28 children, 15 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing only English songs?
  29. 29.In a group of 22 grown-ups, 7 drink tea, 9 drink coffee and 4 drink both. How many drink exactly one of the two?
  30. 30.In a group of 29 children, 16 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing exactly one of the two?
  31. 31.In a group of 41 children, 22 play cricket, 21 play football and 3 play both. How many play neither of the two?
  32. 32.In a group of 40 children, 24 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 41 children, 23 play cricket, 8 play football and 3 play both. How many play exactly one of the two?
  34. 34.In a group of 34 children, 19 like mangoes, 16 like bananas and 5 like both. How many like only bananas?
  35. 35.In a group of 31 children, 19 play cricket, 18 play football and 11 play both. How many play exactly one of the two?
  36. 36.In a group of 42 children, 25 like mangoes, 13 like bananas and 8 like both. How many like only bananas?
  37. 37.In a group of 40 children, 19 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing only Hindi songs?
  38. 38.In a group of 50 children, 23 sing Hindi songs, 24 sing English songs and 6 sing both. How many sing only English songs?
  39. 39.In a group of 28 children, 20 like mangoes, 13 like bananas and 10 like both. How many like only mangoes?
  40. 40.In a group of 26 children, 17 play cricket, 7 play football and 2 play both. How many play only cricket?

Answer key

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

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