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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 290 · 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 children, 16 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  2. 2.In a group of 30 children, 11 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing exactly one of the two?
  3. 3.In a group of 44 children, 22 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  4. 4.In a group of 34 children, 14 sing Hindi songs, 28 sing English songs and 9 sing both. How many sing at least one of the two?
  5. 5.In a group of 21 children, 13 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 41 grown-ups, 11 drink tea, 23 drink coffee and 3 drink both. How many drink only tea?
  7. 7.In a group of 41 children, 7 sing Hindi songs, 22 sing English songs and 2 sing both. How many sing only Hindi songs?
  8. 8.In a group of 35 grown-ups, 21 drink tea, 18 drink coffee and 8 drink both. How many drink exactly one of the two?
  9. 9.In a group of 36 grown-ups, 11 drink tea, 21 drink coffee and 2 drink both. How many drink neither of the two?
  10. 10.In a group of 36 grown-ups, 15 drink tea, 29 drink coffee and 9 drink both. How many drink only coffee?
  11. 11.In a group of 26 children, 16 play chess, 15 play carrom and 11 play both. How many play only chess?
  12. 12.In a group of 23 children, 16 play cricket, 6 play football and 2 play both. How many play only football?
  13. 13.In a group of 45 children, 23 play cricket, 15 play football and 4 play both. How many play only cricket?
  14. 14.In a group of 20 children, 8 like mangoes, 9 like bananas and 4 like both. How many like exactly one of the two?
  15. 15.In a group of 14 grown-ups, 5 drink tea, 10 drink coffee and 2 drink both. How many drink at least one of the two?
  16. 16.In a group of 46 children, 27 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing exactly one of the two?
  17. 17.In a group of 33 children, 24 play cricket, 14 play football and 6 play both. How many play only football?
  18. 18.In a group of 38 children, 15 like mangoes, 26 like bananas and 11 like both. How many like only mangoes?
  19. 19.In a group of 30 grown-ups, 18 drink tea, 16 drink coffee and 8 drink both. How many drink only coffee?
  20. 20.In a group of 35 grown-ups, 19 drink tea, 16 drink coffee and 6 drink both. How many drink only tea?
  21. 21.In a group of 36 children, 21 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing at least one of the two?
  22. 22.In a group of 22 children, 15 play cricket, 17 play football and 12 play both. How many play exactly one of the two?
  23. 23.In a group of 30 grown-ups, 13 drink tea, 20 drink coffee and 7 drink both. How many drink only tea?
  24. 24.In a group of 58 children, 32 sing Hindi songs, 23 sing English songs and 12 sing both. How many sing exactly one of the two?
  25. 25.In a group of 52 children, 22 play cricket, 27 play football and 10 play both. How many play neither of the two?
  26. 26.In a group of 33 children, 23 play cricket, 17 play football and 10 play both. How many play only football?
  27. 27.In a group of 44 grown-ups, 26 drink tea, 21 drink coffee and 6 drink both. How many drink only tea?
  28. 28.In a group of 38 children, 21 play chess, 21 play carrom and 7 play both. How many play only carrom?
  29. 29.In a group of 31 children, 15 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 47 children, 26 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 45 grown-ups, 21 drink tea, 27 drink coffee and 8 drink both. How many drink exactly one of the two?
  32. 32.In a group of 30 grown-ups, 22 drink tea, 13 drink coffee and 7 drink both. How many drink at least one of the two?
  33. 33.In a group of 25 grown-ups, 8 drink tea, 15 drink coffee and 3 drink both. How many drink only tea?
  34. 34.In a group of 41 children, 19 like mangoes, 26 like bananas and 9 like both. How many like only bananas?
  35. 35.In a group of 42 children, 28 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing only English songs?
  36. 36.In a group of 49 children, 21 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  37. 37.In a group of 29 children, 10 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing only English songs?
  38. 38.In a group of 32 children, 17 play cricket, 14 play football and 6 play both. How many play exactly one of the two?
  39. 39.In a group of 37 children, 22 like mangoes, 11 like bananas and 2 like both. How many like at least one of the two?
  40. 40.In a group of 32 children, 16 play chess, 21 play carrom and 12 play both. How many play neither of the two?

Answer key

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

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