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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 164 · 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 53 children, 25 like mangoes, 28 like bananas and 8 like both. How many like only mangoes?
  2. 2.In a group of 41 grown-ups, 23 drink tea, 24 drink coffee and 8 drink both. How many drink neither of the two?
  3. 3.In a group of 29 children, 14 play cricket, 14 play football and 9 play both. How many play only cricket?
  4. 4.In a group of 31 children, 6 play chess, 13 play carrom and 3 play both. How many play neither of the two?
  5. 5.In a group of 40 grown-ups, 23 drink tea, 9 drink coffee and 3 drink both. How many drink only tea?
  6. 6.In a group of 29 children, 13 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 51 children, 26 sing Hindi songs, 25 sing English songs and 12 sing both. How many sing at least one of the two?
  8. 8.In a group of 31 grown-ups, 16 drink tea, 16 drink coffee and 3 drink both. How many drink only coffee?
  9. 9.In a group of 33 children, 13 play chess, 15 play carrom and 4 play both. How many play at least one of the two?
  10. 10.In a group of 41 children, 20 play chess, 17 play carrom and 8 play both. How many play only chess?
  11. 11.In a group of 49 children, 30 play cricket, 23 play football and 11 play both. How many play only cricket?
  12. 12.In a group of 47 children, 19 enjoy drawing, 26 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 61 children, 31 sing Hindi songs, 29 sing English songs and 12 sing both. How many sing at least one of the two?
  14. 14.In a group of 35 children, 18 play chess, 13 play carrom and 3 play both. How many play only chess?
  15. 15.In a group of 43 children, 19 like mangoes, 18 like bananas and 8 like both. How many like only bananas?
  16. 16.In a group of 39 children, 20 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 27 children, 16 like mangoes, 16 like bananas and 8 like both. How many like at least one of the two?
  18. 18.In a group of 39 children, 8 play chess, 23 play carrom and 3 play both. How many play at least one of the two?
  19. 19.In a group of 37 children, 17 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 45 children, 21 sing Hindi songs, 25 sing English songs and 11 sing both. How many sing exactly one of the two?
  21. 21.In a group of 49 children, 22 like mangoes, 20 like bananas and 5 like both. How many like only bananas?
  22. 22.In a group of 37 grown-ups, 22 drink tea, 10 drink coffee and 3 drink both. How many drink only coffee?
  23. 23.In a group of 30 children, 20 play cricket, 11 play football and 5 play both. How many play neither of the two?
  24. 24.In a group of 35 grown-ups, 12 drink tea, 29 drink coffee and 9 drink both. How many drink neither of the two?
  25. 25.In a group of 41 children, 19 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing exactly one of the two?
  26. 26.In a group of 32 children, 18 sing Hindi songs, 19 sing English songs and 11 sing both. How many sing only English songs?
  27. 27.In a group of 25 grown-ups, 18 drink tea, 9 drink coffee and 5 drink both. How many drink exactly one of the two?
  28. 28.In a group of 47 children, 20 play chess, 22 play carrom and 4 play both. How many play exactly one of the two?
  29. 29.In a group of 31 children, 12 like mangoes, 20 like bananas and 6 like both. How many like only mangoes?
  30. 30.In a group of 37 grown-ups, 17 drink tea, 21 drink coffee and 2 drink both. How many drink only coffee?
  31. 31.In a group of 27 grown-ups, 12 drink tea, 14 drink coffee and 2 drink both. How many drink exactly one of the two?
  32. 32.In a group of 45 children, 26 play chess, 27 play carrom and 11 play both. How many play only chess?
  33. 33.In a group of 36 grown-ups, 12 drink tea, 26 drink coffee and 9 drink both. How many drink exactly one of the two?
  34. 34.In a group of 14 children, 6 play cricket, 9 play football and 3 play both. How many play exactly one of the two?
  35. 35.In a group of 30 children, 13 like mangoes, 8 like bananas and 5 like both. How many like neither of the two?
  36. 36.In a group of 27 grown-ups, 16 drink tea, 17 drink coffee and 11 drink both. How many drink exactly one of the two?
  37. 37.In a group of 44 children, 17 sing Hindi songs, 26 sing English songs and 12 sing both. How many sing only English songs?
  38. 38.In a group of 28 children, 12 sing Hindi songs, 6 sing English songs and 2 sing both. How many sing neither of the two?
  39. 39.In a group of 38 children, 16 like mangoes, 29 like bananas and 11 like both. How many like neither of the two?
  40. 40.In a group of 35 children, 8 play cricket, 21 play football and 4 play both. How many play only football?

Answer key

  1. 17
  2. 2
  3. 5
  4. 15
  5. 20
  6. 15
  7. 39
  8. 13
  9. 24
  10. 12
  11. 19
  12. 12
  13. 48
  14. 15
  15. 10
  16. 32
  17. 24
  18. 28
  19. 18
  20. 24
  21. 15
  22. 7
  23. 4
  24. 3
  25. 27
  26. 8
  27. 17
  28. 34
  29. 6
  30. 19
  31. 22
  32. 15
  33. 20
  34. 9
  35. 14
  36. 11
  37. 14
  38. 12
  39. 4
  40. 17

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