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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 157 · 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 40 children, 11 play chess, 21 play carrom and 3 play both. How many play neither of the two?
  2. 2.In a group of 43 grown-ups, 28 drink tea, 16 drink coffee and 12 drink both. How many drink at least one of the two?
  3. 3.In a group of 16 children, 11 play cricket, 9 play football and 6 play both. How many play only football?
  4. 4.In a group of 19 children, 10 play cricket, 10 play football and 6 play both. How many play at least one of the two?
  5. 5.In a group of 31 children, 11 like mangoes, 18 like bananas and 5 like both. How many like only bananas?
  6. 6.In a group of 41 children, 19 like mangoes, 15 like bananas and 2 like both. How many like exactly one of the two?
  7. 7.In a group of 56 grown-ups, 31 drink tea, 29 drink coffee and 11 drink both. How many drink neither of the two?
  8. 8.In a group of 30 children, 14 play cricket, 15 play football and 10 play both. How many play at least one of the two?
  9. 9.In a group of 40 children, 20 play cricket, 21 play football and 2 play both. How many play only football?
  10. 10.In a group of 19 children, 12 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing at least one of the two?
  11. 11.In a group of 30 grown-ups, 7 drink tea, 12 drink coffee and 2 drink both. How many drink at least one of the two?
  12. 12.In a group of 22 children, 9 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing exactly one of the two?
  13. 13.In a group of 48 children, 27 play cricket, 26 play football and 10 play both. How many play at least one of the two?
  14. 14.In a group of 37 children, 16 sing Hindi songs, 27 sing English songs and 9 sing both. How many sing exactly one of the two?
  15. 15.In a group of 40 children, 24 like mangoes, 13 like bananas and 4 like both. How many like neither of the two?
  16. 16.In a group of 50 grown-ups, 21 drink tea, 25 drink coffee and 11 drink both. How many drink only tea?
  17. 17.In a group of 28 children, 13 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 48 children, 24 sing Hindi songs, 23 sing English songs and 8 sing both. How many sing only English songs?
  19. 19.In a group of 30 children, 15 play chess, 12 play carrom and 5 play both. How many play only chess?
  20. 20.In a group of 48 children, 20 sing Hindi songs, 27 sing English songs and 8 sing both. How many sing at least one of the two?
  21. 21.In a group of 33 children, 12 play chess, 14 play carrom and 5 play both. How many play at least one of the two?
  22. 22.In a group of 51 children, 30 play chess, 29 play carrom and 12 play both. How many play exactly one of the two?
  23. 23.In a group of 28 children, 14 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  24. 24.In a group of 20 children, 16 like mangoes, 7 like bananas and 4 like both. How many like only bananas?
  25. 25.In a group of 55 children, 32 play cricket, 31 play football and 12 play both. How many play at least one of the two?
  26. 26.In a group of 33 children, 14 sing Hindi songs, 21 sing English songs and 10 sing both. How many sing exactly one of the two?
  27. 27.In a group of 31 children, 25 play cricket, 10 play football and 7 play both. How many play exactly one of the two?
  28. 28.In a group of 56 children, 28 play cricket, 30 play football and 10 play both. How many play neither of the two?
  29. 29.In a group of 26 children, 10 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  30. 30.In a group of 38 children, 21 play chess, 18 play carrom and 4 play both. How many play only chess?
  31. 31.In a group of 47 grown-ups, 19 drink tea, 26 drink coffee and 6 drink both. How many drink neither of the two?
  32. 32.In a group of 44 children, 23 play cricket, 27 play football and 10 play both. How many play only cricket?
  33. 33.In a group of 26 children, 22 play cricket, 10 play football and 7 play both. How many play only football?
  34. 34.In a group of 42 children, 25 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing exactly one of the two?
  35. 35.In a group of 29 children, 6 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing neither of the two?
  36. 36.In a group of 42 children, 20 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing only Hindi songs?
  37. 37.In a group of 28 children, 15 like mangoes, 8 like bananas and 2 like both. How many like only bananas?
  38. 38.In a group of 52 grown-ups, 23 drink tea, 24 drink coffee and 6 drink both. How many drink exactly one of the two?
  39. 39.In a group of 41 grown-ups, 21 drink tea, 20 drink coffee and 12 drink both. How many drink at least one of the two?
  40. 40.In a group of 24 children, 11 play cricket, 13 play football and 3 play both. How many play only football?

Answer key

  1. 11
  2. 32
  3. 3
  4. 14
  5. 13
  6. 30
  7. 7
  8. 19
  9. 19
  10. 17
  11. 17
  12. 11
  13. 43
  14. 25
  15. 7
  16. 10
  17. 18
  18. 15
  19. 10
  20. 39
  21. 21
  22. 35
  23. 9
  24. 3
  25. 51
  26. 15
  27. 21
  28. 8
  29. 11
  30. 17
  31. 8
  32. 13
  33. 3
  34. 30
  35. 13
  36. 14
  37. 6
  38. 35
  39. 29
  40. 10

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