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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 5 · 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 33 grown-ups, 12 drink tea, 15 drink coffee and 6 drink both. How many drink at least one of the two?
  2. 2.In a group of 36 children, 17 like mangoes, 18 like bananas and 3 like both. How many like at least one of the two?
  3. 3.In a group of 45 children, 19 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only Hindi songs?
  4. 4.In a group of 41 children, 24 play cricket, 7 play football and 4 play both. How many play only football?
  5. 5.In a group of 27 children, 21 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 18 children, 5 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  7. 7.In a group of 61 children, 27 play cricket, 26 play football and 7 play both. How many play only cricket?
  8. 8.In a group of 47 grown-ups, 16 drink tea, 30 drink coffee and 10 drink both. How many drink neither of the two?
  9. 9.In a group of 32 children, 16 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  10. 10.In a group of 40 children, 22 play cricket, 6 play football and 3 play both. How many play at least one of the two?
  11. 11.In a group of 40 children, 14 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing only Hindi songs?
  12. 12.In a group of 32 grown-ups, 19 drink tea, 11 drink coffee and 3 drink both. How many drink only coffee?
  13. 13.In a group of 32 children, 23 play cricket, 12 play football and 5 play both. How many play only cricket?
  14. 14.In a group of 46 children, 16 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing at least one of the two?
  15. 15.In a group of 28 children, 7 sing Hindi songs, 14 sing English songs and 4 sing both. How many sing neither of the two?
  16. 16.In a group of 42 children, 23 play cricket, 11 play football and 3 play both. How many play at least one of the two?
  17. 17.In a group of 43 grown-ups, 26 drink tea, 20 drink coffee and 6 drink both. How many drink only tea?
  18. 18.In a group of 33 children, 12 play cricket, 16 play football and 2 play both. How many play only cricket?
  19. 19.In a group of 31 children, 17 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing exactly one of the two?
  20. 20.In a group of 53 children, 31 play cricket, 26 play football and 12 play both. How many play at least one of the two?
  21. 21.In a group of 21 children, 11 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 20 children, 5 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing at least one of the two?
  23. 23.In a group of 49 children, 28 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 32 grown-ups, 18 drink tea, 16 drink coffee and 7 drink both. How many drink only coffee?
  25. 25.In a group of 31 children, 21 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  26. 26.In a group of 30 children, 15 play cricket, 12 play football and 3 play both. How many play at least one of the two?
  27. 27.In a group of 35 children, 15 like mangoes, 19 like bananas and 2 like both. How many like only bananas?
  28. 28.In a group of 37 children, 22 play cricket, 7 play football and 4 play both. How many play neither of the two?
  29. 29.In a group of 28 children, 17 play chess, 12 play carrom and 3 play both. How many play exactly one of the two?
  30. 30.In a group of 42 grown-ups, 21 drink tea, 14 drink coffee and 3 drink both. How many drink at least one of the two?
  31. 31.In a group of 43 grown-ups, 18 drink tea, 20 drink coffee and 4 drink both. How many drink only tea?
  32. 32.In a group of 42 children, 12 sing Hindi songs, 17 sing English songs and 2 sing both. How many sing exactly one of the two?
  33. 33.In a group of 35 children, 14 like mangoes, 24 like bananas and 4 like both. How many like only mangoes?
  34. 34.In a group of 37 children, 23 play cricket, 7 play football and 3 play both. How many play exactly one of the two?
  35. 35.In a group of 30 children, 24 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing only English songs?
  36. 36.In a group of 36 children, 21 play cricket, 16 play football and 6 play both. How many play neither of the two?
  37. 37.In a group of 25 children, 17 like mangoes, 14 like bananas and 9 like both. How many like only bananas?
  38. 38.In a group of 47 children, 26 like mangoes, 18 like bananas and 12 like both. How many like only mangoes?
  39. 39.In a group of 39 children, 23 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 30 children, 19 enjoy drawing, 20 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?

Answer key

  1. 21
  2. 32
  3. 16
  4. 3
  5. 25
  6. 10
  7. 20
  8. 11
  9. 28
  10. 25
  11. 12
  12. 8
  13. 18
  14. 33
  15. 11
  16. 31
  17. 20
  18. 10
  19. 12
  20. 45
  21. 9
  22. 10
  23. 18
  24. 9
  25. 3
  26. 24
  27. 17
  28. 12
  29. 23
  30. 32
  31. 14
  32. 25
  33. 10
  34. 24
  35. 5
  36. 5
  37. 5
  38. 14
  39. 25
  40. 17

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