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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 95 · 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 43 children, 21 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  2. 2.In a group of 45 children, 21 like mangoes, 25 like bananas and 7 like both. How many like only bananas?
  3. 3.In a group of 28 grown-ups, 8 drink tea, 9 drink coffee and 2 drink both. How many drink only coffee?
  4. 4.In a group of 25 children, 19 sing Hindi songs, 12 sing English songs and 7 sing both. How many sing at least one of the two?
  5. 5.In a group of 29 children, 16 like mangoes, 11 like bananas and 7 like both. How many like only bananas?
  6. 6.In a group of 47 children, 22 play cricket, 22 play football and 4 play both. How many play at least one of the two?
  7. 7.In a group of 33 children, 7 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 45 children, 22 play cricket, 21 play football and 10 play both. How many play only cricket?
  9. 9.In a group of 53 children, 26 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing only Hindi songs?
  10. 10.In a group of 37 children, 22 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing only Hindi songs?
  11. 11.In a group of 40 children, 21 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing neither of the two?
  12. 12.In a group of 33 children, 21 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 47 children, 25 like mangoes, 19 like bananas and 11 like both. How many like only bananas?
  14. 14.In a group of 42 children, 19 play cricket, 23 play football and 9 play both. How many play exactly one of the two?
  15. 15.In a group of 55 grown-ups, 31 drink tea, 30 drink coffee and 11 drink both. How many drink neither of the two?
  16. 16.In a group of 44 children, 26 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  17. 17.In a group of 43 grown-ups, 23 drink tea, 23 drink coffee and 8 drink both. How many drink neither of the two?
  18. 18.In a group of 37 children, 22 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 36 children, 18 play chess, 11 play carrom and 5 play both. How many play exactly one of the two?
  20. 20.In a group of 33 children, 14 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 45 children, 30 like mangoes, 23 like bananas and 12 like both. How many like exactly one of the two?
  22. 22.In a group of 36 children, 16 play cricket, 19 play football and 8 play both. How many play exactly one of the two?
  23. 23.In a group of 34 children, 16 like mangoes, 12 like bananas and 5 like both. How many like exactly one of the two?
  24. 24.In a group of 33 children, 13 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing only English songs?
  25. 25.In a group of 52 children, 30 play cricket, 32 play football and 12 play both. How many play only cricket?
  26. 26.In a group of 36 children, 26 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing exactly one of the two?
  27. 27.In a group of 41 grown-ups, 12 drink tea, 22 drink coffee and 4 drink both. How many drink only coffee?
  28. 28.In a group of 39 children, 19 like mangoes, 27 like bananas and 9 like both. How many like only bananas?
  29. 29.In a group of 44 children, 19 play cricket, 21 play football and 5 play both. How many play neither of the two?
  30. 30.In a group of 46 children, 24 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 15 children, 6 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing exactly one of the two?
  32. 32.In a group of 38 grown-ups, 20 drink tea, 24 drink coffee and 9 drink both. How many drink at least one of the two?
  33. 33.In a group of 26 children, 13 sing Hindi songs, 22 sing English songs and 10 sing both. How many sing only English songs?
  34. 34.In a group of 13 children, 9 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 47 children, 23 like mangoes, 15 like bananas and 6 like both. How many like at least one of the two?
  36. 36.In a group of 30 children, 17 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing neither of the two?
  37. 37.In a group of 38 grown-ups, 21 drink tea, 20 drink coffee and 5 drink both. How many drink only coffee?
  38. 38.In a group of 42 children, 28 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 28 children, 15 enjoy drawing, 16 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 33 children, 16 play cricket, 15 play football and 5 play both. How many play at least one of the two?

Answer key

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

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