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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 158 · 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 26 children, 10 play cricket, 11 play football and 3 play both. How many play neither of the two?
  2. 2.In a group of 45 children, 17 like mangoes, 22 like bananas and 6 like both. How many like only bananas?
  3. 3.In a group of 46 children, 24 sing Hindi songs, 24 sing English songs and 9 sing both. How many sing only English songs?
  4. 4.In a group of 40 children, 14 play chess, 24 play carrom and 4 play both. How many play at least one of the two?
  5. 5.In a group of 39 children, 12 play chess, 23 play carrom and 8 play both. How many play only carrom?
  6. 6.In a group of 31 children, 18 play chess, 20 play carrom and 11 play both. How many play neither of the two?
  7. 7.In a group of 48 children, 17 play chess, 25 play carrom and 6 play both. How many play at least one of the two?
  8. 8.In a group of 26 children, 12 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 37 children, 20 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing neither of the two?
  10. 10.In a group of 25 children, 10 play chess, 9 play carrom and 4 play both. How many play neither of the two?
  11. 11.In a group of 37 grown-ups, 19 drink tea, 12 drink coffee and 3 drink both. How many drink exactly one of the two?
  12. 12.In a group of 37 children, 20 play cricket, 16 play football and 2 play both. How many play only cricket?
  13. 13.In a group of 36 children, 7 play chess, 20 play carrom and 2 play both. How many play only chess?
  14. 14.In a group of 24 children, 8 play chess, 19 play carrom and 5 play both. How many play at least one of the two?
  15. 15.In a group of 28 grown-ups, 18 drink tea, 9 drink coffee and 5 drink both. How many drink only coffee?
  16. 16.In a group of 32 children, 12 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing exactly one of the two?
  17. 17.In a group of 41 children, 19 like mangoes, 17 like bananas and 3 like both. How many like at least one of the two?
  18. 18.In a group of 33 children, 12 play cricket, 21 play football and 6 play both. How many play only cricket?
  19. 19.In a group of 26 children, 21 play chess, 8 play carrom and 5 play both. How many play only chess?
  20. 20.In a group of 26 children, 16 enjoy drawing, 13 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 25 grown-ups, 14 drink tea, 12 drink coffee and 2 drink both. How many drink only coffee?
  22. 22.In a group of 34 grown-ups, 17 drink tea, 14 drink coffee and 11 drink both. How many drink exactly one of the two?
  23. 23.In a group of 46 children, 17 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  24. 24.In a group of 36 children, 22 play chess, 9 play carrom and 6 play both. How many play at least one of the two?
  25. 25.In a group of 34 children, 12 play chess, 18 play carrom and 7 play both. How many play neither of the two?
  26. 26.In a group of 42 children, 22 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing neither of the two?
  27. 27.In a group of 36 children, 15 like mangoes, 18 like bananas and 12 like both. How many like only mangoes?
  28. 28.In a group of 28 children, 10 play chess, 8 play carrom and 3 play both. How many play only chess?
  29. 29.In a group of 48 children, 24 like mangoes, 29 like bananas and 9 like both. How many like only bananas?
  30. 30.In a group of 50 children, 28 play cricket, 24 play football and 8 play both. How many play only football?
  31. 31.In a group of 36 grown-ups, 14 drink tea, 9 drink coffee and 2 drink both. How many drink only coffee?
  32. 32.In a group of 33 grown-ups, 19 drink tea, 12 drink coffee and 3 drink both. How many drink neither of the two?
  33. 33.In a group of 36 children, 15 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 46 children, 24 play chess, 29 play carrom and 11 play both. How many play neither of the two?
  35. 35.In a group of 42 grown-ups, 12 drink tea, 17 drink coffee and 2 drink both. How many drink only coffee?
  36. 36.In a group of 34 children, 16 play chess, 14 play carrom and 4 play both. How many play only chess?
  37. 37.In a group of 35 children, 14 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  38. 38.In a group of 40 children, 18 sing Hindi songs, 22 sing English songs and 2 sing both. How many sing neither of the two?
  39. 39.In a group of 47 children, 26 play chess, 25 play carrom and 8 play both. How many play at least one of the two?
  40. 40.In a group of 29 grown-ups, 10 drink tea, 19 drink coffee and 4 drink both. How many drink at least one of the two?

Answer key

  1. 8
  2. 16
  3. 15
  4. 34
  5. 15
  6. 4
  7. 36
  8. 6
  9. 7
  10. 10
  11. 25
  12. 18
  13. 5
  14. 22
  15. 4
  16. 25
  17. 33
  18. 6
  19. 16
  20. 4
  21. 10
  22. 9
  23. 14
  24. 25
  25. 11
  26. 3
  27. 3
  28. 7
  29. 20
  30. 16
  31. 7
  32. 5
  33. 18
  34. 4
  35. 15
  36. 12
  37. 22
  38. 2
  39. 43
  40. 25

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