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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 593 · 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 30 children, 12 play chess, 20 play carrom and 8 play both. How many play neither of the two?
  2. 2.In a group of 39 children, 11 play cricket, 17 play football and 2 play both. How many play at least one of the two?
  3. 3.In a group of 28 grown-ups, 11 drink tea, 8 drink coffee and 4 drink both. How many drink only tea?
  4. 4.In a group of 33 children, 11 like mangoes, 17 like bananas and 5 like both. How many like neither of the two?
  5. 5.In a group of 26 children, 11 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 44 children, 11 enjoy drawing, 25 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  7. 7.In a group of 28 grown-ups, 11 drink tea, 22 drink coffee and 7 drink both. How many drink exactly one of the two?
  8. 8.In a group of 49 children, 17 play cricket, 26 play football and 9 play both. How many play neither of the two?
  9. 9.In a group of 38 children, 23 sing Hindi songs, 14 sing English songs and 5 sing both. How many sing at least one of the two?
  10. 10.In a group of 44 grown-ups, 15 drink tea, 19 drink coffee and 4 drink both. How many drink only coffee?
  11. 11.In a group of 40 children, 18 like mangoes, 26 like bananas and 10 like both. How many like at least one of the two?
  12. 12.In a group of 39 grown-ups, 17 drink tea, 20 drink coffee and 2 drink both. How many drink at least one of the two?
  13. 13.In a group of 25 grown-ups, 13 drink tea, 16 drink coffee and 5 drink both. How many drink only tea?
  14. 14.In a group of 50 children, 24 enjoy drawing, 18 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 39 children, 16 like mangoes, 20 like bananas and 7 like both. How many like at least one of the two?
  16. 16.In a group of 47 children, 30 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing neither of the two?
  17. 17.In a group of 34 children, 24 sing Hindi songs, 16 sing English songs and 7 sing both. How many sing only Hindi songs?
  18. 18.In a group of 31 children, 17 like mangoes, 7 like bananas and 2 like both. How many like only bananas?
  19. 19.In a group of 45 children, 21 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing neither of the two?
  20. 20.In a group of 42 children, 24 like mangoes, 27 like bananas and 11 like both. How many like at least one of the two?
  21. 21.In a group of 57 children, 26 play cricket, 24 play football and 8 play both. How many play exactly one of the two?
  22. 22.In a group of 36 children, 12 play chess, 25 play carrom and 6 play both. How many play exactly one of the two?
  23. 23.In a group of 45 children, 21 like mangoes, 28 like bananas and 11 like both. How many like exactly one of the two?
  24. 24.In a group of 39 children, 19 enjoy drawing, 14 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 47 children, 24 like mangoes, 23 like bananas and 7 like both. How many like only mangoes?
  26. 26.In a group of 33 grown-ups, 20 drink tea, 15 drink coffee and 8 drink both. How many drink at least one of the two?
  27. 27.In a group of 28 children, 21 play cricket, 12 play football and 8 play both. How many play neither of the two?
  28. 28.In a group of 44 children, 26 like mangoes, 13 like bananas and 9 like both. How many like only bananas?
  29. 29.In a group of 37 children, 10 play cricket, 16 play football and 3 play both. How many play exactly one of the two?
  30. 30.In a group of 39 children, 25 play chess, 20 play carrom and 9 play both. How many play at least one of the two?
  31. 31.In a group of 51 children, 24 play cricket, 28 play football and 8 play both. How many play at least one of the two?
  32. 32.In a group of 35 grown-ups, 17 drink tea, 16 drink coffee and 4 drink both. How many drink neither of the two?
  33. 33.In a group of 38 children, 17 play cricket, 29 play football and 11 play both. How many play only football?
  34. 34.In a group of 43 children, 11 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 42 children, 14 like mangoes, 23 like bananas and 7 like both. How many like only mangoes?
  36. 36.In a group of 53 children, 26 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  37. 37.In a group of 44 grown-ups, 10 drink tea, 24 drink coffee and 4 drink both. How many drink at least one of the two?
  38. 38.In a group of 31 children, 14 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 44 children, 23 sing Hindi songs, 22 sing English songs and 6 sing both. How many sing only English songs?
  40. 40.In a group of 28 children, 13 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?

Answer key

  1. 6
  2. 26
  3. 7
  4. 10
  5. 14
  6. 18
  7. 19
  8. 15
  9. 32
  10. 15
  11. 34
  12. 35
  13. 8
  14. 12
  15. 29
  16. 11
  17. 17
  18. 5
  19. 5
  20. 40
  21. 34
  22. 25
  23. 27
  24. 12
  25. 17
  26. 27
  27. 3
  28. 4
  29. 20
  30. 36
  31. 44
  32. 6
  33. 18
  34. 13
  35. 7
  36. 11
  37. 30
  38. 12
  39. 16
  40. 23

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