← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 89 · 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 children, 10 play cricket, 16 play football and 5 play both. How many play neither of the two?
  2. 2.In a group of 38 children, 29 enjoy drawing, 17 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 29 grown-ups, 24 drink tea, 10 drink coffee and 6 drink both. How many drink exactly one of the two?
  4. 4.In a group of 25 grown-ups, 19 drink tea, 17 drink coffee and 12 drink both. How many drink only coffee?
  5. 5.In a group of 41 children, 21 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing neither of the two?
  6. 6.In a group of 43 children, 27 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  7. 7.In a group of 29 children, 13 play cricket, 22 play football and 7 play both. How many play only football?
  8. 8.In a group of 23 children, 9 enjoy drawing, 18 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 24 children, 19 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing exactly one of the two?
  10. 10.In a group of 22 children, 8 play chess, 16 play carrom and 3 play both. How many play neither of the two?
  11. 11.In a group of 49 children, 28 play cricket, 21 play football and 12 play both. How many play exactly one of the two?
  12. 12.In a group of 31 children, 14 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing only English songs?
  13. 13.In a group of 44 children, 13 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 28 children, 8 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  15. 15.In a group of 36 grown-ups, 13 drink tea, 22 drink coffee and 4 drink both. How many drink neither of the two?
  16. 16.In a group of 29 children, 9 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 35 grown-ups, 7 drink tea, 23 drink coffee and 4 drink both. How many drink exactly one of the two?
  18. 18.In a group of 50 children, 27 play cricket, 17 play football and 7 play both. How many play exactly one of the two?
  19. 19.In a group of 31 children, 17 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing only Hindi songs?
  20. 20.In a group of 21 grown-ups, 14 drink tea, 9 drink coffee and 3 drink both. How many drink exactly one of the two?
  21. 21.In a group of 48 children, 24 like mangoes, 24 like bananas and 6 like both. How many like only mangoes?
  22. 22.In a group of 42 children, 11 like mangoes, 22 like bananas and 4 like both. How many like only mangoes?
  23. 23.In a group of 24 children, 11 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  24. 24.In a group of 30 children, 10 sing Hindi songs, 25 sing English songs and 7 sing both. How many sing exactly one of the two?
  25. 25.In a group of 26 children, 7 play chess, 13 play carrom and 3 play both. How many play at least one of the two?
  26. 26.In a group of 31 grown-ups, 19 drink tea, 17 drink coffee and 12 drink both. How many drink only tea?
  27. 27.In a group of 25 children, 14 play cricket, 16 play football and 7 play both. How many play at least one of the two?
  28. 28.In a group of 28 children, 14 like mangoes, 22 like bananas and 11 like both. How many like only bananas?
  29. 29.In a group of 35 children, 18 enjoy drawing, 13 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 22 children, 11 sing Hindi songs, 12 sing English songs and 7 sing both. How many sing exactly one of the two?
  31. 31.In a group of 42 children, 21 like mangoes, 12 like bananas and 5 like both. How many like neither of the two?
  32. 32.In a group of 31 children, 18 play chess, 23 play carrom and 11 play both. How many play only carrom?
  33. 33.In a group of 35 children, 26 play chess, 12 play carrom and 7 play both. How many play at least one of the two?
  34. 34.In a group of 21 grown-ups, 13 drink tea, 10 drink coffee and 6 drink both. How many drink only coffee?
  35. 35.In a group of 48 children, 25 enjoy drawing, 21 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 21 children, 10 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 43 children, 17 play cricket, 28 play football and 8 play both. How many play neither of the two?
  38. 38.In a group of 21 children, 8 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing exactly one of the two?
  39. 39.In a group of 25 children, 12 play cricket, 15 play football and 4 play both. How many play only cricket?
  40. 40.In a group of 51 children, 28 sing Hindi songs, 29 sing English songs and 12 sing both. How many sing at least one of the two?

Answer key

  1. 10
  2. 1
  3. 22
  4. 5
  5. 6
  6. 10
  7. 15
  8. 15
  9. 16
  10. 1
  11. 25
  12. 5
  13. 29
  14. 3
  15. 5
  16. 18
  17. 22
  18. 30
  19. 10
  20. 17
  21. 18
  22. 7
  23. 1
  24. 21
  25. 17
  26. 7
  27. 23
  28. 11
  29. 16
  30. 9
  31. 14
  32. 12
  33. 31
  34. 4
  35. 41
  36. 6
  37. 6
  38. 10
  39. 8
  40. 45

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