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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 492 · 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 children, 13 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing only English songs?
  2. 2.In a group of 36 grown-ups, 16 drink tea, 23 drink coffee and 11 drink both. How many drink only coffee?
  3. 3.In a group of 42 children, 16 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  4. 4.In a group of 38 children, 19 sing Hindi songs, 21 sing English songs and 9 sing both. How many sing only Hindi songs?
  5. 5.In a group of 32 children, 8 like mangoes, 17 like bananas and 3 like both. How many like only bananas?
  6. 6.In a group of 39 children, 22 like mangoes, 19 like bananas and 4 like both. How many like at least one of the two?
  7. 7.In a group of 57 children, 32 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 40 grown-ups, 21 drink tea, 10 drink coffee and 4 drink both. How many drink exactly one of the two?
  9. 9.In a group of 37 children, 14 play chess, 13 play carrom and 3 play both. How many play only chess?
  10. 10.In a group of 48 children, 23 like mangoes, 28 like bananas and 11 like both. How many like at least one of the two?
  11. 11.In a group of 43 children, 19 sing Hindi songs, 25 sing English songs and 12 sing both. How many sing only Hindi songs?
  12. 12.In a group of 30 children, 7 like mangoes, 12 like bananas and 2 like both. How many like only bananas?
  13. 13.In a group of 34 children, 14 like mangoes, 11 like bananas and 4 like both. How many like only bananas?
  14. 14.In a group of 53 grown-ups, 28 drink tea, 20 drink coffee and 10 drink both. How many drink only coffee?
  15. 15.In a group of 37 grown-ups, 17 drink tea, 22 drink coffee and 10 drink both. How many drink exactly one of the two?
  16. 16.In a group of 31 children, 17 play chess, 24 play carrom and 11 play both. How many play at least one of the two?
  17. 17.In a group of 40 children, 28 play chess, 15 play carrom and 8 play both. How many play exactly one of the two?
  18. 18.In a group of 43 children, 18 play cricket, 23 play football and 11 play both. How many play only cricket?
  19. 19.In a group of 30 children, 13 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 29 children, 8 play chess, 16 play carrom and 4 play both. How many play at least one of the two?
  21. 21.In a group of 45 children, 30 play cricket, 19 play football and 11 play both. How many play exactly one of the two?
  22. 22.In a group of 31 children, 10 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 21 children, 12 like mangoes, 5 like bananas and 2 like both. How many like at least one of the two?
  24. 24.In a group of 39 children, 15 play chess, 17 play carrom and 6 play both. How many play only carrom?
  25. 25.In a group of 25 children, 8 like mangoes, 12 like bananas and 3 like both. How many like at least one of the two?
  26. 26.In a group of 37 children, 19 play chess, 11 play carrom and 5 play both. How many play only carrom?
  27. 27.In a group of 35 grown-ups, 17 drink tea, 18 drink coffee and 5 drink both. How many drink only tea?
  28. 28.In a group of 26 children, 16 play chess, 12 play carrom and 5 play both. How many play only chess?
  29. 29.In a group of 20 children, 13 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing neither of the two?
  30. 30.In a group of 54 children, 27 play chess, 27 play carrom and 7 play both. How many play neither of the two?
  31. 31.In a group of 29 children, 17 play cricket, 11 play football and 2 play both. How many play neither of the two?
  32. 32.In a group of 48 children, 26 like mangoes, 16 like bananas and 9 like both. How many like at least one of the two?
  33. 33.In a group of 52 children, 24 like mangoes, 27 like bananas and 12 like both. How many like neither of the two?
  34. 34.In a group of 35 children, 22 play cricket, 14 play football and 5 play both. How many play only football?
  35. 35.In a group of 34 children, 22 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  36. 36.In a group of 44 children, 25 play cricket, 22 play football and 12 play both. How many play only football?
  37. 37.In a group of 36 children, 25 play cricket, 15 play football and 6 play both. How many play at least one of the two?
  38. 38.In a group of 35 children, 16 like mangoes, 23 like bananas and 8 like both. How many like only bananas?
  39. 39.In a group of 39 children, 19 like mangoes, 10 like bananas and 4 like both. How many like only mangoes?
  40. 40.In a group of 29 children, 7 play cricket, 14 play football and 3 play both. How many play only football?

Answer key

  1. 5
  2. 12
  3. 30
  4. 10
  5. 14
  6. 37
  7. 47
  8. 23
  9. 11
  10. 40
  11. 7
  12. 10
  13. 7
  14. 10
  15. 19
  16. 30
  17. 27
  18. 7
  19. 12
  20. 20
  21. 27
  22. 8
  23. 15
  24. 11
  25. 17
  26. 6
  27. 12
  28. 11
  29. 3
  30. 7
  31. 3
  32. 33
  33. 13
  34. 9
  35. 7
  36. 10
  37. 34
  38. 15
  39. 15
  40. 11

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