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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 265 · 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 45 grown-ups, 21 drink tea, 17 drink coffee and 7 drink both. How many drink exactly one of the two?
  2. 2.In a group of 22 children, 10 play cricket, 10 play football and 5 play both. How many play only football?
  3. 3.In a group of 50 children, 26 enjoy drawing, 23 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  4. 4.In a group of 38 grown-ups, 17 drink tea, 20 drink coffee and 11 drink both. How many drink only tea?
  5. 5.In a group of 35 children, 18 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing neither of the two?
  6. 6.In a group of 24 children, 13 like mangoes, 15 like bananas and 10 like both. How many like only bananas?
  7. 7.In a group of 30 children, 15 play cricket, 16 play football and 4 play both. How many play at least one of the two?
  8. 8.In a group of 26 children, 11 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 27 children, 21 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing at least one of the two?
  10. 10.In a group of 45 grown-ups, 21 drink tea, 16 drink coffee and 7 drink both. How many drink at least one of the two?
  11. 11.In a group of 47 grown-ups, 22 drink tea, 20 drink coffee and 7 drink both. How many drink only tea?
  12. 12.In a group of 48 children, 24 play cricket, 19 play football and 4 play both. How many play only football?
  13. 13.In a group of 50 children, 27 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 24 children, 14 play cricket, 12 play football and 3 play both. How many play at least one of the two?
  15. 15.In a group of 23 children, 17 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 42 grown-ups, 25 drink tea, 23 drink coffee and 10 drink both. How many drink exactly one of the two?
  17. 17.In a group of 32 children, 16 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 47 children, 25 play cricket, 22 play football and 11 play both. How many play at least one of the two?
  19. 19.In a group of 44 grown-ups, 15 drink tea, 31 drink coffee and 11 drink both. How many drink exactly one of the two?
  20. 20.In a group of 37 children, 19 play cricket, 23 play football and 6 play both. How many play exactly one of the two?
  21. 21.In a group of 32 children, 15 like mangoes, 16 like bananas and 11 like both. How many like only mangoes?
  22. 22.In a group of 38 children, 24 play cricket, 13 play football and 8 play both. How many play only football?
  23. 23.In a group of 42 children, 15 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing only Hindi songs?
  24. 24.In a group of 38 children, 20 play chess, 24 play carrom and 10 play both. How many play exactly one of the two?
  25. 25.In a group of 45 children, 18 play chess, 27 play carrom and 11 play both. How many play only chess?
  26. 26.In a group of 40 children, 19 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing only English songs?
  27. 27.In a group of 45 grown-ups, 16 drink tea, 24 drink coffee and 6 drink both. How many drink only tea?
  28. 28.In a group of 36 children, 24 play chess, 14 play carrom and 10 play both. How many play neither of the two?
  29. 29.In a group of 38 children, 14 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 33 children, 12 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 30 children, 17 enjoy drawing, 16 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 32 children, 18 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 34 children, 24 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 42 children, 29 play chess, 19 play carrom and 12 play both. How many play exactly one of the two?
  35. 35.In a group of 30 grown-ups, 11 drink tea, 20 drink coffee and 2 drink both. How many drink at least one of the two?
  36. 36.In a group of 30 children, 17 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing only English songs?
  37. 37.In a group of 37 children, 17 play cricket, 20 play football and 5 play both. How many play exactly one of the two?
  38. 38.In a group of 38 children, 21 play cricket, 19 play football and 8 play both. How many play only football?
  39. 39.In a group of 30 children, 17 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing at least one of the two?
  40. 40.In a group of 34 children, 17 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy only drawing?

Answer key

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

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