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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 419 · 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 31 children, 12 like mangoes, 15 like bananas and 6 like both. How many like only mangoes?
  2. 2.In a group of 41 grown-ups, 10 drink tea, 20 drink coffee and 4 drink both. How many drink only coffee?
  3. 3.In a group of 52 children, 25 like mangoes, 31 like bananas and 11 like both. How many like only mangoes?
  4. 4.In a group of 31 children, 12 like mangoes, 17 like bananas and 6 like both. How many like only mangoes?
  5. 5.In a group of 31 children, 10 sing Hindi songs, 17 sing English songs and 4 sing both. How many sing exactly one of the two?
  6. 6.In a group of 22 grown-ups, 15 drink tea, 15 drink coffee and 12 drink both. How many drink exactly one of the two?
  7. 7.In a group of 46 children, 19 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 39 children, 25 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  9. 9.In a group of 30 children, 12 like mangoes, 19 like bananas and 7 like both. How many like neither of the two?
  10. 10.In a group of 35 children, 14 play cricket, 23 play football and 8 play both. How many play exactly one of the two?
  11. 11.In a group of 29 children, 13 play cricket, 21 play football and 8 play both. How many play neither of the two?
  12. 12.In a group of 43 children, 22 play chess, 20 play carrom and 3 play both. How many play only chess?
  13. 13.In a group of 46 grown-ups, 17 drink tea, 25 drink coffee and 5 drink both. How many drink only coffee?
  14. 14.In a group of 42 children, 28 like mangoes, 23 like bananas and 10 like both. How many like at least one of the two?
  15. 15.In a group of 17 children, 9 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing only Hindi songs?
  16. 16.In a group of 33 grown-ups, 17 drink tea, 27 drink coffee and 12 drink both. How many drink only coffee?
  17. 17.In a group of 39 children, 28 enjoy drawing, 21 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  18. 18.In a group of 29 children, 19 like mangoes, 12 like bananas and 9 like both. How many like only bananas?
  19. 19.In a group of 40 children, 11 play chess, 20 play carrom and 5 play both. How many play only chess?
  20. 20.In a group of 46 children, 25 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  21. 21.In a group of 37 children, 17 play cricket, 23 play football and 10 play both. How many play at least one of the two?
  22. 22.In a group of 31 grown-ups, 22 drink tea, 15 drink coffee and 12 drink both. How many drink only coffee?
  23. 23.In a group of 51 children, 26 play chess, 19 play carrom and 8 play both. How many play neither of the two?
  24. 24.In a group of 46 children, 29 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing only Hindi songs?
  25. 25.In a group of 44 children, 25 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  26. 26.In a group of 41 grown-ups, 14 drink tea, 15 drink coffee and 2 drink both. How many drink only coffee?
  27. 27.In a group of 43 grown-ups, 23 drink tea, 20 drink coffee and 12 drink both. How many drink neither of the two?
  28. 28.In a group of 41 children, 20 play cricket, 31 play football and 11 play both. How many play only cricket?
  29. 29.In a group of 35 children, 24 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing exactly one of the two?
  30. 30.In a group of 39 children, 20 play cricket, 17 play football and 2 play both. How many play neither of the two?
  31. 31.In a group of 54 grown-ups, 27 drink tea, 27 drink coffee and 10 drink both. How many drink only tea?
  32. 32.In a group of 37 children, 21 like mangoes, 16 like bananas and 12 like both. How many like at least one of the two?
  33. 33.In a group of 43 children, 19 like mangoes, 22 like bananas and 4 like both. How many like only mangoes?
  34. 34.In a group of 42 grown-ups, 26 drink tea, 21 drink coffee and 10 drink both. How many drink only tea?
  35. 35.In a group of 40 children, 14 play chess, 24 play carrom and 8 play both. How many play at least one of the two?
  36. 36.In a group of 40 children, 13 sing Hindi songs, 18 sing English songs and 4 sing both. How many sing exactly one of the two?
  37. 37.In a group of 28 children, 20 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 44 children, 22 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing neither of the two?
  39. 39.In a group of 57 children, 24 like mangoes, 24 like bananas and 4 like both. How many like only bananas?
  40. 40.In a group of 39 children, 13 sing Hindi songs, 22 sing English songs and 10 sing both. How many sing exactly one of the two?

Answer key

  1. 6
  2. 16
  3. 14
  4. 6
  5. 19
  6. 6
  7. 14
  8. 32
  9. 6
  10. 21
  11. 3
  12. 19
  13. 20
  14. 41
  15. 6
  16. 15
  17. 27
  18. 3
  19. 6
  20. 31
  21. 30
  22. 3
  23. 14
  24. 17
  25. 13
  26. 13
  27. 12
  28. 9
  29. 17
  30. 4
  31. 17
  32. 25
  33. 15
  34. 16
  35. 30
  36. 23
  37. 8
  38. 6
  39. 20
  40. 15

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