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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 248 · 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 44 children, 16 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing exactly one of the two?
  2. 2.In a group of 38 children, 8 play chess, 25 play carrom and 5 play both. How many play at least one of the two?
  3. 3.In a group of 31 grown-ups, 18 drink tea, 17 drink coffee and 11 drink both. How many drink only coffee?
  4. 4.In a group of 34 children, 19 play chess, 13 play carrom and 5 play both. How many play neither of the two?
  5. 5.In a group of 26 grown-ups, 19 drink tea, 14 drink coffee and 11 drink both. How many drink exactly one of the two?
  6. 6.In a group of 46 children, 22 enjoy drawing, 23 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  7. 7.In a group of 32 children, 17 play cricket, 20 play football and 7 play both. How many play exactly one of the two?
  8. 8.In a group of 35 children, 13 play chess, 19 play carrom and 7 play both. How many play neither of the two?
  9. 9.In a group of 49 children, 27 play cricket, 27 play football and 9 play both. How many play at least one of the two?
  10. 10.In a group of 24 children, 9 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  11. 11.In a group of 21 children, 12 play cricket, 16 play football and 8 play both. How many play only cricket?
  12. 12.In a group of 24 children, 12 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 37 children, 27 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing neither of the two?
  14. 14.In a group of 35 children, 12 play chess, 11 play carrom and 3 play both. How many play exactly one of the two?
  15. 15.In a group of 45 children, 18 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing at least one of the two?
  16. 16.In a group of 31 children, 21 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 43 children, 19 play chess, 25 play carrom and 10 play both. How many play only carrom?
  18. 18.In a group of 30 children, 18 play cricket, 17 play football and 10 play both. How many play only cricket?
  19. 19.In a group of 36 children, 24 like mangoes, 14 like bananas and 6 like both. How many like exactly one of the two?
  20. 20.In a group of 22 children, 13 play cricket, 8 play football and 3 play both. How many play only football?
  21. 21.In a group of 34 children, 13 play cricket, 22 play football and 3 play both. How many play only cricket?
  22. 22.In a group of 47 children, 22 sing Hindi songs, 24 sing English songs and 10 sing both. How many sing exactly one of the two?
  23. 23.In a group of 31 children, 21 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  24. 24.In a group of 57 children, 31 play cricket, 25 play football and 12 play both. How many play only football?
  25. 25.In a group of 38 children, 16 like mangoes, 19 like bananas and 5 like both. How many like only mangoes?
  26. 26.In a group of 20 children, 11 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 46 grown-ups, 21 drink tea, 19 drink coffee and 6 drink both. How many drink neither of the two?
  28. 28.In a group of 41 children, 15 play chess, 24 play carrom and 12 play both. How many play only carrom?
  29. 29.In a group of 36 children, 9 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing at least one of the two?
  30. 30.In a group of 37 children, 16 play cricket, 24 play football and 8 play both. How many play only cricket?
  31. 31.In a group of 47 grown-ups, 25 drink tea, 20 drink coffee and 9 drink both. How many drink exactly one of the two?
  32. 32.In a group of 27 children, 20 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing only Hindi songs?
  33. 33.In a group of 39 children, 18 like mangoes, 16 like bananas and 9 like both. How many like only bananas?
  34. 34.In a group of 31 children, 9 like mangoes, 21 like bananas and 6 like both. How many like neither of the two?
  35. 35.In a group of 47 children, 20 play cricket, 28 play football and 11 play both. How many play at least one of the two?
  36. 36.In a group of 57 children, 26 play chess, 23 play carrom and 6 play both. How many play neither of the two?
  37. 37.In a group of 28 grown-ups, 9 drink tea, 21 drink coffee and 6 drink both. How many drink at least one of the two?
  38. 38.In a group of 26 children, 20 play cricket, 6 play football and 3 play both. How many play at least one of the two?
  39. 39.In a group of 24 children, 18 play cricket, 10 play football and 7 play both. How many play only football?
  40. 40.In a group of 52 children, 24 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?

Answer key

  1. 28
  2. 28
  3. 6
  4. 7
  5. 11
  6. 11
  7. 23
  8. 10
  9. 45
  10. 13
  11. 4
  12. 15
  13. 4
  14. 17
  15. 35
  16. 24
  17. 15
  18. 8
  19. 26
  20. 5
  21. 10
  22. 26
  23. 30
  24. 13
  25. 11
  26. 4
  27. 12
  28. 12
  29. 22
  30. 8
  31. 27
  32. 15
  33. 7
  34. 7
  35. 37
  36. 14
  37. 24
  38. 23
  39. 3
  40. 39

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