← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 696 · 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, 14 drink tea, 12 drink coffee and 2 drink both. How many drink only coffee?
  2. 2.In a group of 34 children, 13 play cricket, 21 play football and 8 play both. How many play only cricket?
  3. 3.In a group of 36 grown-ups, 25 drink tea, 13 drink coffee and 8 drink both. How many drink exactly one of the two?
  4. 4.In a group of 53 grown-ups, 22 drink tea, 28 drink coffee and 10 drink both. How many drink at least one of the two?
  5. 5.In a group of 38 children, 21 sing Hindi songs, 21 sing English songs and 5 sing both. How many sing exactly one of the two?
  6. 6.In a group of 33 children, 14 play cricket, 20 play football and 11 play both. How many play neither of the two?
  7. 7.In a group of 31 children, 12 play cricket, 18 play football and 5 play both. How many play exactly one of the two?
  8. 8.In a group of 42 children, 14 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  9. 9.In a group of 34 grown-ups, 21 drink tea, 14 drink coffee and 11 drink both. How many drink at least one of the two?
  10. 10.In a group of 40 children, 25 like mangoes, 21 like bananas and 10 like both. How many like at least one of the two?
  11. 11.In a group of 18 children, 9 play chess, 8 play carrom and 4 play both. How many play neither of the two?
  12. 12.In a group of 30 grown-ups, 13 drink tea, 18 drink coffee and 4 drink both. How many drink only coffee?
  13. 13.In a group of 34 children, 22 play chess, 14 play carrom and 6 play both. How many play exactly one of the two?
  14. 14.In a group of 45 grown-ups, 20 drink tea, 22 drink coffee and 12 drink both. How many drink at least one of the two?
  15. 15.In a group of 30 children, 20 play cricket, 12 play football and 7 play both. How many play at least one of the two?
  16. 16.In a group of 38 children, 18 play cricket, 18 play football and 11 play both. How many play only cricket?
  17. 17.In a group of 29 children, 22 play cricket, 9 play football and 3 play both. How many play only cricket?
  18. 18.In a group of 60 children, 32 sing Hindi songs, 30 sing English songs and 12 sing both. How many sing at least one of the two?
  19. 19.In a group of 25 grown-ups, 10 drink tea, 13 drink coffee and 7 drink both. How many drink only coffee?
  20. 20.In a group of 20 grown-ups, 11 drink tea, 15 drink coffee and 8 drink both. How many drink exactly one of the two?
  21. 21.In a group of 46 children, 23 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing at least one of the two?
  22. 22.In a group of 31 children, 10 enjoy drawing, 10 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  23. 23.In a group of 28 grown-ups, 11 drink tea, 20 drink coffee and 4 drink both. How many drink only coffee?
  24. 24.In a group of 31 children, 15 sing Hindi songs, 15 sing English songs and 7 sing both. How many sing neither of the two?
  25. 25.In a group of 26 grown-ups, 15 drink tea, 17 drink coffee and 9 drink both. How many drink only tea?
  26. 26.In a group of 14 children, 7 play chess, 9 play carrom and 4 play both. How many play exactly one of the two?
  27. 27.In a group of 23 grown-ups, 6 drink tea, 17 drink coffee and 3 drink both. How many drink at least one of the two?
  28. 28.In a group of 36 children, 19 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 28 grown-ups, 17 drink tea, 14 drink coffee and 8 drink both. How many drink exactly one of the two?
  30. 30.In a group of 28 children, 7 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 44 grown-ups, 21 drink tea, 27 drink coffee and 7 drink both. How many drink only coffee?
  32. 32.In a group of 33 grown-ups, 26 drink tea, 12 drink coffee and 6 drink both. How many drink only coffee?
  33. 33.In a group of 23 children, 13 sing Hindi songs, 11 sing English songs and 3 sing both. How many sing only Hindi songs?
  34. 34.In a group of 34 children, 13 play chess, 28 play carrom and 9 play both. How many play only chess?
  35. 35.In a group of 32 children, 21 play chess, 16 play carrom and 6 play both. How many play at least one of the two?
  36. 36.In a group of 25 children, 10 play cricket, 20 play football and 6 play both. How many play exactly one of the two?
  37. 37.In a group of 43 children, 16 play cricket, 18 play football and 6 play both. How many play exactly one of the two?
  38. 38.In a group of 30 children, 17 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 41 children, 14 play cricket, 21 play football and 7 play both. How many play only cricket?
  40. 40.In a group of 40 grown-ups, 16 drink tea, 22 drink coffee and 2 drink both. How many drink only coffee?

Answer key

  1. 10
  2. 5
  3. 22
  4. 40
  5. 32
  6. 10
  7. 20
  8. 31
  9. 24
  10. 36
  11. 5
  12. 14
  13. 24
  14. 30
  15. 25
  16. 7
  17. 19
  18. 50
  19. 6
  20. 10
  21. 42
  22. 13
  23. 16
  24. 8
  25. 6
  26. 8
  27. 20
  28. 13
  29. 15
  30. 18
  31. 20
  32. 6
  33. 10
  34. 4
  35. 31
  36. 18
  37. 22
  38. 7
  39. 7
  40. 20

Free logical reasoning lessons, practice and worksheets at talentjr.in/logical-reasoning