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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 204 · 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 children, 19 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  2. 2.In a group of 31 children, 16 play cricket, 13 play football and 8 play both. How many play only cricket?
  3. 3.In a group of 22 children, 7 play cricket, 7 play football and 3 play both. How many play only cricket?
  4. 4.In a group of 33 children, 17 play cricket, 10 play football and 7 play both. How many play only football?
  5. 5.In a group of 28 children, 12 play cricket, 14 play football and 7 play both. How many play exactly one of the two?
  6. 6.In a group of 51 children, 18 like mangoes, 26 like bananas and 8 like both. How many like neither of the two?
  7. 7.In a group of 48 children, 26 play cricket, 19 play football and 6 play both. How many play only football?
  8. 8.In a group of 23 grown-ups, 16 drink tea, 9 drink coffee and 3 drink both. How many drink only tea?
  9. 9.In a group of 39 children, 22 play chess, 8 play carrom and 5 play both. How many play only chess?
  10. 10.In a group of 31 children, 8 like mangoes, 11 like bananas and 3 like both. How many like neither of the two?
  11. 11.In a group of 41 children, 24 play cricket, 23 play football and 8 play both. How many play only cricket?
  12. 12.In a group of 37 children, 24 sing Hindi songs, 20 sing English songs and 8 sing both. How many sing at least one of the two?
  13. 13.In a group of 33 children, 17 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing only Hindi songs?
  14. 14.In a group of 42 children, 22 play cricket, 25 play football and 9 play both. How many play exactly one of the two?
  15. 15.In a group of 48 children, 17 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 30 children, 10 play cricket, 18 play football and 7 play both. How many play only football?
  17. 17.In a group of 33 children, 16 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  18. 18.In a group of 32 grown-ups, 14 drink tea, 20 drink coffee and 6 drink both. How many drink exactly one of the two?
  19. 19.In a group of 54 children, 26 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 22 children, 9 play cricket, 16 play football and 6 play both. How many play at least one of the two?
  21. 21.In a group of 32 grown-ups, 13 drink tea, 14 drink coffee and 8 drink both. How many drink exactly one of the two?
  22. 22.In a group of 39 children, 26 play cricket, 21 play football and 12 play both. How many play exactly one of the two?
  23. 23.In a group of 47 children, 23 like mangoes, 26 like bananas and 11 like both. How many like only bananas?
  24. 24.In a group of 47 children, 21 like mangoes, 24 like bananas and 10 like both. How many like neither of the two?
  25. 25.In a group of 40 children, 11 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 33 children, 20 sing Hindi songs, 14 sing English songs and 4 sing both. How many sing only English songs?
  27. 27.In a group of 33 grown-ups, 27 drink tea, 15 drink coffee and 10 drink both. How many drink at least one of the two?
  28. 28.In a group of 50 children, 22 like mangoes, 25 like bananas and 5 like both. How many like exactly one of the two?
  29. 29.In a group of 35 children, 14 like mangoes, 25 like bananas and 6 like both. How many like neither of the two?
  30. 30.In a group of 39 grown-ups, 16 drink tea, 28 drink coffee and 8 drink both. How many drink at least one of the two?
  31. 31.In a group of 36 children, 12 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing at least one of the two?
  32. 32.In a group of 17 grown-ups, 12 drink tea, 9 drink coffee and 5 drink both. How many drink only coffee?
  33. 33.In a group of 46 children, 12 play chess, 26 play carrom and 7 play both. How many play only chess?
  34. 34.In a group of 43 children, 11 like mangoes, 23 like bananas and 4 like both. How many like at least one of the two?
  35. 35.In a group of 50 children, 25 play chess, 30 play carrom and 11 play both. How many play exactly one of the two?
  36. 36.In a group of 28 children, 10 play cricket, 7 play football and 4 play both. How many play exactly one of the two?
  37. 37.In a group of 29 grown-ups, 13 drink tea, 12 drink coffee and 9 drink both. How many drink only coffee?
  38. 38.In a group of 31 children, 18 play chess, 24 play carrom and 12 play both. How many play neither of the two?
  39. 39.In a group of 32 children, 14 sing Hindi songs, 16 sing English songs and 9 sing both. How many sing neither of the two?
  40. 40.In a group of 41 children, 19 like mangoes, 27 like bananas and 11 like both. How many like only bananas?

Answer key

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

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