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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 509 · 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 47 grown-ups, 27 drink tea, 25 drink coffee and 7 drink both. How many drink neither of the two?
  2. 2.In a group of 53 children, 25 sing Hindi songs, 24 sing English songs and 6 sing both. How many sing only Hindi songs?
  3. 3.In a group of 47 grown-ups, 18 drink tea, 17 drink coffee and 3 drink both. How many drink neither of the two?
  4. 4.In a group of 35 grown-ups, 12 drink tea, 26 drink coffee and 9 drink both. How many drink only tea?
  5. 5.In a group of 31 grown-ups, 9 drink tea, 15 drink coffee and 6 drink both. How many drink at least one of the two?
  6. 6.In a group of 38 children, 26 play chess, 10 play carrom and 7 play both. How many play exactly one of the two?
  7. 7.In a group of 49 grown-ups, 22 drink tea, 22 drink coffee and 6 drink both. How many drink neither of the two?
  8. 8.In a group of 36 children, 16 play chess, 10 play carrom and 4 play both. How many play neither of the two?
  9. 9.In a group of 18 children, 9 play cricket, 8 play football and 3 play both. How many play only football?
  10. 10.In a group of 37 grown-ups, 22 drink tea, 13 drink coffee and 3 drink both. How many drink at least one of the two?
  11. 11.In a group of 36 children, 24 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 53 children, 29 play chess, 19 play carrom and 10 play both. How many play only chess?
  13. 13.In a group of 22 children, 14 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 34 children, 24 enjoy drawing, 16 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 31 children, 12 play chess, 22 play carrom and 8 play both. How many play neither of the two?
  16. 16.In a group of 37 children, 25 play chess, 10 play carrom and 7 play both. How many play only carrom?
  17. 17.In a group of 21 children, 8 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  18. 18.In a group of 36 grown-ups, 10 drink tea, 19 drink coffee and 3 drink both. How many drink neither of the two?
  19. 19.In a group of 38 children, 13 like mangoes, 21 like bananas and 8 like both. How many like at least one of the two?
  20. 20.In a group of 30 children, 7 play chess, 16 play carrom and 2 play both. How many play exactly one of the two?
  21. 21.In a group of 36 children, 17 like mangoes, 17 like bananas and 10 like both. How many like only bananas?
  22. 22.In a group of 50 children, 25 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 33 children, 11 play chess, 13 play carrom and 3 play both. How many play neither of the two?
  24. 24.In a group of 53 children, 24 play cricket, 26 play football and 10 play both. How many play at least one of the two?
  25. 25.In a group of 37 grown-ups, 21 drink tea, 21 drink coffee and 6 drink both. How many drink neither of the two?
  26. 26.In a group of 42 children, 30 like mangoes, 18 like bananas and 10 like both. How many like neither of the two?
  27. 27.In a group of 53 children, 28 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing neither of the two?
  28. 28.In a group of 30 grown-ups, 14 drink tea, 25 drink coffee and 10 drink both. How many drink only tea?
  29. 29.In a group of 49 children, 21 play chess, 23 play carrom and 5 play both. How many play only carrom?
  30. 30.In a group of 23 children, 13 play chess, 10 play carrom and 6 play both. How many play at least one of the two?
  31. 31.In a group of 42 grown-ups, 15 drink tea, 15 drink coffee and 3 drink both. How many drink at least one of the two?
  32. 32.In a group of 44 children, 20 play cricket, 20 play football and 3 play both. How many play only cricket?
  33. 33.In a group of 55 children, 25 play chess, 32 play carrom and 12 play both. How many play at least one of the two?
  34. 34.In a group of 42 children, 22 play chess, 15 play carrom and 10 play both. How many play neither of the two?
  35. 35.In a group of 36 grown-ups, 28 drink tea, 14 drink coffee and 8 drink both. How many drink neither of the two?
  36. 36.In a group of 23 children, 15 like mangoes, 12 like bananas and 8 like both. How many like neither of the two?
  37. 37.In a group of 28 children, 14 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 32 children, 13 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 38 grown-ups, 18 drink tea, 18 drink coffee and 3 drink both. How many drink only tea?
  40. 40.In a group of 40 children, 26 play cricket, 18 play football and 7 play both. How many play at least one of the two?

Answer key

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

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