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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 206 · 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 35 children, 18 play cricket, 17 play football and 11 play both. How many play only football?
  2. 2.In a group of 24 children, 13 play chess, 10 play carrom and 3 play both. How many play at least one of the two?
  3. 3.In a group of 39 children, 22 play cricket, 22 play football and 11 play both. How many play neither of the two?
  4. 4.In a group of 45 children, 22 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 48 children, 22 sing Hindi songs, 28 sing English songs and 8 sing both. How many sing neither of the two?
  6. 6.In a group of 22 children, 11 play chess, 13 play carrom and 5 play both. How many play only chess?
  7. 7.In a group of 37 children, 29 like mangoes, 18 like bananas and 12 like both. How many like at least one of the two?
  8. 8.In a group of 53 children, 25 play chess, 27 play carrom and 10 play both. How many play exactly one of the two?
  9. 9.In a group of 61 children, 30 like mangoes, 28 like bananas and 11 like both. How many like at least one of the two?
  10. 10.In a group of 36 grown-ups, 20 drink tea, 12 drink coffee and 5 drink both. How many drink only coffee?
  11. 11.In a group of 33 children, 14 play cricket, 9 play football and 3 play both. How many play neither of the two?
  12. 12.In a group of 23 grown-ups, 8 drink tea, 15 drink coffee and 3 drink both. How many drink exactly one of the two?
  13. 13.In a group of 34 children, 18 play cricket, 17 play football and 6 play both. How many play only cricket?
  14. 14.In a group of 27 children, 23 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  15. 15.In a group of 45 children, 25 play chess, 31 play carrom and 12 play both. How many play neither of the two?
  16. 16.In a group of 44 children, 23 sing Hindi songs, 22 sing English songs and 10 sing both. How many sing only English songs?
  17. 17.In a group of 17 children, 5 play chess, 6 play carrom and 2 play both. How many play at least one of the two?
  18. 18.In a group of 51 children, 23 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing neither of the two?
  19. 19.In a group of 35 children, 20 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 42 children, 31 like mangoes, 17 like bananas and 11 like both. How many like only bananas?
  21. 21.In a group of 29 children, 8 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 35 grown-ups, 10 drink tea, 23 drink coffee and 5 drink both. How many drink at least one of the two?
  23. 23.In a group of 34 children, 21 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 35 children, 20 sing Hindi songs, 12 sing English songs and 2 sing both. How many sing only Hindi songs?
  25. 25.In a group of 37 children, 19 play cricket, 15 play football and 10 play both. How many play only cricket?
  26. 26.In a group of 26 grown-ups, 14 drink tea, 7 drink coffee and 2 drink both. How many drink only coffee?
  27. 27.In a group of 31 children, 14 enjoy drawing, 21 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 37 children, 26 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing only Hindi songs?
  29. 29.In a group of 34 children, 25 enjoy drawing, 13 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  30. 30.In a group of 37 children, 10 sing Hindi songs, 22 sing English songs and 5 sing both. How many sing only English songs?
  31. 31.In a group of 46 children, 23 like mangoes, 27 like bananas and 11 like both. How many like exactly one of the two?
  32. 32.In a group of 29 children, 21 sing Hindi songs, 12 sing English songs and 9 sing both. How many sing only Hindi songs?
  33. 33.In a group of 44 children, 24 play cricket, 17 play football and 10 play both. How many play exactly one of the two?
  34. 34.In a group of 36 children, 28 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing neither of the two?
  35. 35.In a group of 17 children, 13 like mangoes, 7 like bananas and 4 like both. How many like exactly one of the two?
  36. 36.In a group of 43 children, 17 play chess, 18 play carrom and 7 play both. How many play only carrom?
  37. 37.In a group of 29 children, 10 play cricket, 23 play football and 7 play both. How many play only cricket?
  38. 38.In a group of 32 children, 25 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 32 grown-ups, 16 drink tea, 18 drink coffee and 10 drink both. How many drink only coffee?
  40. 40.In a group of 28 grown-ups, 11 drink tea, 14 drink coffee and 8 drink both. How many drink only tea?

Answer key

  1. 6
  2. 20
  3. 6
  4. 15
  5. 6
  6. 6
  7. 35
  8. 32
  9. 47
  10. 7
  11. 13
  12. 17
  13. 12
  14. 1
  15. 1
  16. 12
  17. 9
  18. 13
  19. 23
  20. 6
  21. 19
  22. 28
  23. 22
  24. 18
  25. 9
  26. 5
  27. 3
  28. 15
  29. 33
  30. 17
  31. 28
  32. 12
  33. 21
  34. 2
  35. 12
  36. 11
  37. 3
  38. 15
  39. 8
  40. 3

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