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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 554 · 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 43 grown-ups, 27 drink tea, 13 drink coffee and 9 drink both. How many drink only tea?
  2. 2.In a group of 40 children, 17 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 38 children, 24 play cricket, 17 play football and 12 play both. How many play only cricket?
  4. 4.In a group of 27 grown-ups, 16 drink tea, 17 drink coffee and 9 drink both. How many drink only tea?
  5. 5.In a group of 37 children, 16 like mangoes, 25 like bananas and 7 like both. How many like at least one of the two?
  6. 6.In a group of 25 children, 13 play chess, 14 play carrom and 4 play both. How many play at least one of the two?
  7. 7.In a group of 32 grown-ups, 17 drink tea, 18 drink coffee and 12 drink both. How many drink exactly one of the two?
  8. 8.In a group of 24 children, 18 sing Hindi songs, 5 sing English songs and 2 sing both. How many sing exactly one of the two?
  9. 9.In a group of 29 children, 18 play chess, 13 play carrom and 9 play both. How many play at least one of the two?
  10. 10.In a group of 33 children, 18 like mangoes, 15 like bananas and 9 like both. How many like at least one of the two?
  11. 11.In a group of 19 children, 5 play cricket, 12 play football and 2 play both. How many play at least one of the two?
  12. 12.In a group of 25 children, 10 like mangoes, 9 like bananas and 6 like both. How many like at least one of the two?
  13. 13.In a group of 33 children, 19 enjoy drawing, 18 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  14. 14.In a group of 33 grown-ups, 19 drink tea, 23 drink coffee and 10 drink both. How many drink at least one of the two?
  15. 15.In a group of 45 children, 16 play cricket, 30 play football and 10 play both. How many play only football?
  16. 16.In a group of 42 grown-ups, 13 drink tea, 25 drink coffee and 6 drink both. How many drink exactly one of the two?
  17. 17.In a group of 35 children, 27 play cricket, 15 play football and 10 play both. How many play neither of the two?
  18. 18.In a group of 43 children, 19 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing only Hindi songs?
  19. 19.In a group of 49 children, 20 play chess, 26 play carrom and 11 play both. How many play only chess?
  20. 20.In a group of 44 children, 26 like mangoes, 21 like bananas and 10 like both. How many like at least one of the two?
  21. 21.In a group of 46 children, 23 sing Hindi songs, 28 sing English songs and 10 sing both. How many sing only Hindi songs?
  22. 22.In a group of 33 children, 24 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  23. 23.In a group of 41 children, 24 like mangoes, 17 like bananas and 5 like both. How many like at least one of the two?
  24. 24.In a group of 35 grown-ups, 13 drink tea, 19 drink coffee and 5 drink both. How many drink only coffee?
  25. 25.In a group of 46 grown-ups, 16 drink tea, 21 drink coffee and 2 drink both. How many drink exactly one of the two?
  26. 26.In a group of 42 children, 20 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing at least one of the two?
  27. 27.In a group of 29 children, 20 play chess, 13 play carrom and 7 play both. How many play only chess?
  28. 28.In a group of 36 children, 16 play cricket, 21 play football and 7 play both. How many play neither of the two?
  29. 29.In a group of 46 children, 27 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 33 children, 18 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing exactly one of the two?
  31. 31.In a group of 41 grown-ups, 24 drink tea, 20 drink coffee and 6 drink both. How many drink exactly one of the two?
  32. 32.In a group of 37 children, 16 like mangoes, 18 like bananas and 5 like both. How many like exactly one of the two?
  33. 33.In a group of 35 children, 23 play cricket, 14 play football and 7 play both. How many play exactly one of the two?
  34. 34.In a group of 28 children, 13 play chess, 10 play carrom and 3 play both. How many play only carrom?
  35. 35.In a group of 38 children, 15 play chess, 17 play carrom and 2 play both. How many play only chess?
  36. 36.In a group of 28 children, 12 like mangoes, 12 like bananas and 8 like both. How many like exactly one of the two?
  37. 37.In a group of 60 children, 27 play cricket, 26 play football and 8 play both. How many play at least one of the two?
  38. 38.In a group of 37 children, 23 play chess, 14 play carrom and 4 play both. How many play exactly one of the two?
  39. 39.In a group of 34 children, 11 play cricket, 21 play football and 2 play both. How many play exactly one of the two?
  40. 40.In a group of 44 children, 19 sing Hindi songs, 25 sing English songs and 11 sing both. How many sing at least one of the two?

Answer key

  1. 18
  2. 10
  3. 12
  4. 7
  5. 34
  6. 23
  7. 11
  8. 19
  9. 22
  10. 24
  11. 15
  12. 13
  13. 21
  14. 32
  15. 20
  16. 26
  17. 3
  18. 7
  19. 9
  20. 37
  21. 13
  22. 22
  23. 36
  24. 14
  25. 33
  26. 30
  27. 13
  28. 6
  29. 21
  30. 29
  31. 32
  32. 24
  33. 23
  34. 7
  35. 13
  36. 8
  37. 45
  38. 29
  39. 28
  40. 33

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