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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 562 · 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 32 grown-ups, 12 drink tea, 17 drink coffee and 4 drink both. How many drink only tea?
  2. 2.In a group of 22 children, 15 like mangoes, 12 like bananas and 9 like both. How many like exactly one of the two?
  3. 3.In a group of 27 children, 13 play cricket, 5 play football and 2 play both. How many play exactly one of the two?
  4. 4.In a group of 37 children, 24 play cricket, 16 play football and 10 play both. How many play at least one of the two?
  5. 5.In a group of 18 children, 9 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing exactly one of the two?
  6. 6.In a group of 31 children, 19 play cricket, 20 play football and 9 play both. How many play only cricket?
  7. 7.In a group of 45 children, 25 like mangoes, 18 like bananas and 5 like both. How many like only bananas?
  8. 8.In a group of 31 children, 19 sing Hindi songs, 15 sing English songs and 4 sing both. How many sing only English songs?
  9. 9.In a group of 31 children, 21 play chess, 10 play carrom and 5 play both. How many play only carrom?
  10. 10.In a group of 50 grown-ups, 21 drink tea, 20 drink coffee and 5 drink both. How many drink exactly one of the two?
  11. 11.In a group of 49 grown-ups, 22 drink tea, 26 drink coffee and 6 drink both. How many drink at least one of the two?
  12. 12.In a group of 21 children, 10 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 18 children, 12 like mangoes, 10 like bananas and 5 like both. How many like only bananas?
  14. 14.In a group of 18 children, 7 play cricket, 6 play football and 2 play both. How many play neither of the two?
  15. 15.In a group of 39 grown-ups, 12 drink tea, 19 drink coffee and 3 drink both. How many drink neither of the two?
  16. 16.In a group of 53 grown-ups, 24 drink tea, 29 drink coffee and 10 drink both. How many drink exactly one of the two?
  17. 17.In a group of 38 grown-ups, 17 drink tea, 17 drink coffee and 7 drink both. How many drink exactly one of the two?
  18. 18.In a group of 40 children, 26 play chess, 19 play carrom and 8 play both. How many play exactly one of the two?
  19. 19.In a group of 30 children, 10 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  20. 20.In a group of 40 children, 12 play chess, 27 play carrom and 9 play both. How many play at least one of the two?
  21. 21.In a group of 25 children, 12 play chess, 7 play carrom and 3 play both. How many play at least one of the two?
  22. 22.In a group of 35 children, 23 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing exactly one of the two?
  23. 23.In a group of 35 children, 16 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing only Hindi songs?
  24. 24.In a group of 27 children, 10 like mangoes, 21 like bananas and 5 like both. How many like only bananas?
  25. 25.In a group of 27 children, 18 play cricket, 12 play football and 5 play both. How many play only cricket?
  26. 26.In a group of 46 children, 19 play cricket, 20 play football and 4 play both. How many play at least one of the two?
  27. 27.In a group of 51 children, 21 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 30 children, 6 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 54 children, 25 like mangoes, 29 like bananas and 11 like both. How many like neither of the two?
  30. 30.In a group of 30 children, 16 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 51 children, 22 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing only English songs?
  32. 32.In a group of 45 children, 23 like mangoes, 18 like bananas and 3 like both. How many like only mangoes?
  33. 33.In a group of 26 children, 16 like mangoes, 15 like bananas and 9 like both. How many like only mangoes?
  34. 34.In a group of 49 grown-ups, 27 drink tea, 16 drink coffee and 8 drink both. How many drink only coffee?
  35. 35.In a group of 30 children, 12 sing Hindi songs, 23 sing English songs and 9 sing both. How many sing exactly one of the two?
  36. 36.In a group of 47 children, 29 play chess, 20 play carrom and 9 play both. How many play only chess?
  37. 37.In a group of 45 children, 13 play cricket, 24 play football and 7 play both. How many play exactly one of the two?
  38. 38.In a group of 26 children, 22 like mangoes, 10 like bananas and 7 like both. How many like only mangoes?
  39. 39.In a group of 36 children, 24 like mangoes, 15 like bananas and 7 like both. How many like exactly one of the two?
  40. 40.In a group of 46 children, 28 like mangoes, 20 like bananas and 12 like both. How many like neither of the two?

Answer key

  1. 8
  2. 9
  3. 14
  4. 30
  5. 8
  6. 10
  7. 13
  8. 11
  9. 5
  10. 31
  11. 42
  12. 13
  13. 5
  14. 7
  15. 11
  16. 33
  17. 20
  18. 29
  19. 13
  20. 30
  21. 16
  22. 18
  23. 14
  24. 16
  25. 13
  26. 35
  27. 11
  28. 9
  29. 11
  30. 22
  31. 19
  32. 20
  33. 7
  34. 8
  35. 17
  36. 20
  37. 23
  38. 15
  39. 25
  40. 10

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