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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 428 · 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 31 grown-ups, 12 drink tea, 23 drink coffee and 7 drink both. How many drink exactly one of the two?
  2. 2.In a group of 29 children, 20 enjoy drawing, 12 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 37 children, 18 sing Hindi songs, 20 sing English songs and 7 sing both. How many sing exactly one of the two?
  4. 4.In a group of 43 children, 24 play chess, 13 play carrom and 9 play both. How many play at least one of the two?
  5. 5.In a group of 38 children, 16 like mangoes, 25 like bananas and 9 like both. How many like neither of the two?
  6. 6.In a group of 50 children, 30 like mangoes, 22 like bananas and 11 like both. How many like neither of the two?
  7. 7.In a group of 39 children, 16 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 32 children, 9 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 41 children, 24 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 35 children, 13 enjoy drawing, 24 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 41 children, 19 play cricket, 20 play football and 8 play both. How many play neither of the two?
  12. 12.In a group of 32 children, 24 play cricket, 11 play football and 5 play both. How many play only football?
  13. 13.In a group of 38 children, 19 like mangoes, 16 like bananas and 12 like both. How many like only mangoes?
  14. 14.In a group of 37 children, 12 play chess, 21 play carrom and 7 play both. How many play only chess?
  15. 15.In a group of 34 children, 14 play chess, 26 play carrom and 10 play both. How many play neither of the two?
  16. 16.In a group of 45 children, 30 like mangoes, 21 like bananas and 10 like both. How many like only bananas?
  17. 17.In a group of 25 children, 14 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 40 children, 16 like mangoes, 22 like bananas and 2 like both. How many like only mangoes?
  19. 19.In a group of 29 children, 12 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 47 grown-ups, 14 drink tea, 24 drink coffee and 6 drink both. How many drink only tea?
  21. 21.In a group of 28 children, 19 play chess, 7 play carrom and 4 play both. How many play only chess?
  22. 22.In a group of 50 children, 28 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing exactly one of the two?
  23. 23.In a group of 41 children, 27 play cricket, 12 play football and 9 play both. How many play only football?
  24. 24.In a group of 25 children, 18 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  25. 25.In a group of 36 grown-ups, 5 drink tea, 22 drink coffee and 2 drink both. How many drink at least one of the two?
  26. 26.In a group of 38 grown-ups, 15 drink tea, 17 drink coffee and 5 drink both. How many drink only tea?
  27. 27.In a group of 44 children, 30 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 37 children, 19 play cricket, 10 play football and 6 play both. How many play only cricket?
  29. 29.In a group of 43 children, 17 play cricket, 15 play football and 2 play both. How many play only football?
  30. 30.In a group of 51 grown-ups, 32 drink tea, 30 drink coffee and 12 drink both. How many drink only coffee?
  31. 31.In a group of 27 children, 9 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 16 children, 10 sing Hindi songs, 6 sing English songs and 3 sing both. How many sing neither of the two?
  33. 33.In a group of 33 children, 9 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing neither of the two?
  34. 34.In a group of 41 children, 22 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  35. 35.In a group of 32 children, 20 like mangoes, 7 like bananas and 3 like both. How many like neither of the two?
  36. 36.In a group of 32 children, 13 play cricket, 19 play football and 7 play both. How many play only cricket?
  37. 37.In a group of 37 children, 19 sing Hindi songs, 24 sing English songs and 10 sing both. How many sing only Hindi songs?
  38. 38.In a group of 54 children, 29 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing neither of the two?
  39. 39.In a group of 44 children, 25 play chess, 12 play carrom and 7 play both. How many play at least one of the two?
  40. 40.In a group of 36 children, 20 like mangoes, 17 like bananas and 2 like both. How many like neither of the two?

Answer key

  1. 21
  2. 26
  3. 24
  4. 28
  5. 6
  6. 9
  7. 36
  8. 14
  9. 19
  10. 9
  11. 10
  12. 6
  13. 7
  14. 5
  15. 4
  16. 11
  17. 23
  18. 14
  19. 9
  20. 8
  21. 15
  22. 33
  23. 3
  24. 16
  25. 25
  26. 10
  27. 42
  28. 13
  29. 13
  30. 18
  31. 20
  32. 3
  33. 9
  34. 29
  35. 8
  36. 6
  37. 9
  38. 9
  39. 30
  40. 1

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