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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 194 · 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 47 children, 25 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing exactly one of the two?
  2. 2.In a group of 37 grown-ups, 8 drink tea, 24 drink coffee and 4 drink both. How many drink only coffee?
  3. 3.In a group of 52 children, 20 sing Hindi songs, 30 sing English songs and 11 sing both. How many sing neither of the two?
  4. 4.In a group of 40 children, 24 like mangoes, 17 like bananas and 11 like both. How many like only mangoes?
  5. 5.In a group of 38 children, 21 enjoy drawing, 20 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 28 children, 21 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  7. 7.In a group of 36 children, 19 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing only English songs?
  8. 8.In a group of 30 children, 18 like mangoes, 12 like bananas and 9 like both. How many like exactly one of the two?
  9. 9.In a group of 47 children, 22 play chess, 14 play carrom and 4 play both. How many play only chess?
  10. 10.In a group of 21 children, 9 like mangoes, 8 like bananas and 2 like both. How many like neither of the two?
  11. 11.In a group of 28 grown-ups, 8 drink tea, 10 drink coffee and 3 drink both. How many drink at least one of the two?
  12. 12.In a group of 36 grown-ups, 23 drink tea, 23 drink coffee and 12 drink both. How many drink at least one of the two?
  13. 13.In a group of 50 children, 29 sing Hindi songs, 22 sing English songs and 11 sing both. How many sing only English songs?
  14. 14.In a group of 44 children, 17 play cricket, 23 play football and 8 play both. How many play only cricket?
  15. 15.In a group of 35 grown-ups, 14 drink tea, 29 drink coffee and 11 drink both. How many drink only coffee?
  16. 16.In a group of 30 grown-ups, 14 drink tea, 22 drink coffee and 11 drink both. How many drink exactly one of the two?
  17. 17.In a group of 31 grown-ups, 16 drink tea, 13 drink coffee and 8 drink both. How many drink neither of the two?
  18. 18.In a group of 25 children, 16 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing at least one of the two?
  19. 19.In a group of 52 children, 23 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 32 children, 20 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  21. 21.In a group of 27 children, 12 play cricket, 16 play football and 5 play both. How many play only cricket?
  22. 22.In a group of 30 children, 10 sing Hindi songs, 22 sing English songs and 6 sing both. How many sing only Hindi songs?
  23. 23.In a group of 48 children, 24 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing only English songs?
  24. 24.In a group of 30 children, 23 like mangoes, 8 like bananas and 3 like both. How many like at least one of the two?
  25. 25.In a group of 29 grown-ups, 14 drink tea, 22 drink coffee and 9 drink both. How many drink only coffee?
  26. 26.In a group of 33 children, 16 like mangoes, 14 like bananas and 8 like both. How many like neither of the two?
  27. 27.In a group of 32 children, 23 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing neither of the two?
  28. 28.In a group of 24 children, 14 play cricket, 8 play football and 5 play both. How many play only football?
  29. 29.In a group of 36 children, 11 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 35 children, 16 play chess, 10 play carrom and 2 play both. How many play only carrom?
  31. 31.In a group of 39 children, 17 play cricket, 25 play football and 11 play both. How many play only cricket?
  32. 32.In a group of 28 children, 13 sing Hindi songs, 15 sing English songs and 7 sing both. How many sing only English songs?
  33. 33.In a group of 35 grown-ups, 14 drink tea, 11 drink coffee and 5 drink both. How many drink only tea?
  34. 34.In a group of 47 children, 17 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing exactly one of the two?
  35. 35.In a group of 32 children, 15 play chess, 18 play carrom and 10 play both. How many play only carrom?
  36. 36.In a group of 39 children, 19 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing only English songs?
  37. 37.In a group of 32 grown-ups, 16 drink tea, 20 drink coffee and 12 drink both. How many drink neither of the two?
  38. 38.In a group of 20 children, 6 play cricket, 15 play football and 3 play both. How many play only cricket?
  39. 39.In a group of 39 children, 24 sing Hindi songs, 19 sing English songs and 11 sing both. How many sing neither of the two?
  40. 40.In a group of 35 grown-ups, 11 drink tea, 17 drink coffee and 8 drink both. How many drink at least one of the two?

Answer key

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

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