← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 155 · 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 41 children, 22 play chess, 28 play carrom and 11 play both. How many play only carrom?
  2. 2.In a group of 24 children, 7 play cricket, 12 play football and 3 play both. How many play exactly one of the two?
  3. 3.In a group of 39 children, 21 play cricket, 8 play football and 2 play both. How many play at least one of the two?
  4. 4.In a group of 42 children, 16 play cricket, 32 play football and 12 play both. How many play only cricket?
  5. 5.In a group of 37 children, 10 play cricket, 23 play football and 7 play both. How many play exactly one of the two?
  6. 6.In a group of 34 children, 13 play cricket, 19 play football and 5 play both. How many play exactly one of the two?
  7. 7.In a group of 38 grown-ups, 19 drink tea, 21 drink coffee and 9 drink both. How many drink only coffee?
  8. 8.In a group of 39 children, 13 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing neither of the two?
  9. 9.In a group of 33 children, 18 enjoy drawing, 14 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 29 children, 14 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing neither of the two?
  11. 11.In a group of 31 grown-ups, 9 drink tea, 17 drink coffee and 6 drink both. How many drink neither of the two?
  12. 12.In a group of 19 children, 8 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 30 children, 7 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  14. 14.In a group of 23 children, 12 play chess, 16 play carrom and 8 play both. How many play at least one of the two?
  15. 15.In a group of 51 children, 30 like mangoes, 25 like bananas and 11 like both. How many like neither of the two?
  16. 16.In a group of 39 children, 29 play cricket, 17 play football and 9 play both. How many play at least one of the two?
  17. 17.In a group of 32 children, 15 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing only English songs?
  18. 18.In a group of 20 children, 8 play chess, 8 play carrom and 3 play both. How many play only carrom?
  19. 19.In a group of 31 children, 17 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing neither of the two?
  20. 20.In a group of 43 children, 23 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing exactly one of the two?
  21. 21.In a group of 42 children, 15 enjoy drawing, 23 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 25 children, 18 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 40 children, 20 like mangoes, 13 like bananas and 7 like both. How many like exactly one of the two?
  24. 24.In a group of 20 children, 12 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing exactly one of the two?
  25. 25.In a group of 21 grown-ups, 12 drink tea, 12 drink coffee and 5 drink both. How many drink at least one of the two?
  26. 26.In a group of 23 children, 7 play cricket, 13 play football and 2 play both. How many play at least one of the two?
  27. 27.In a group of 27 children, 9 sing Hindi songs, 19 sing English songs and 6 sing both. How many sing neither of the two?
  28. 28.In a group of 50 children, 16 sing Hindi songs, 24 sing English songs and 5 sing both. How many sing exactly one of the two?
  29. 29.In a group of 24 children, 17 like mangoes, 10 like bananas and 4 like both. How many like at least one of the two?
  30. 30.In a group of 43 children, 21 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 31 children, 23 sing Hindi songs, 18 sing English songs and 11 sing both. How many sing at least one of the two?
  32. 32.In a group of 46 grown-ups, 31 drink tea, 21 drink coffee and 11 drink both. How many drink at least one of the two?
  33. 33.In a group of 25 grown-ups, 19 drink tea, 9 drink coffee and 6 drink both. How many drink exactly one of the two?
  34. 34.In a group of 46 children, 23 play cricket, 11 play football and 3 play both. How many play only cricket?
  35. 35.In a group of 30 children, 12 sing Hindi songs, 19 sing English songs and 9 sing both. How many sing at least one of the two?
  36. 36.In a group of 34 children, 14 play chess, 16 play carrom and 7 play both. How many play exactly one of the two?
  37. 37.In a group of 33 children, 19 play chess, 12 play carrom and 6 play both. How many play exactly one of the two?
  38. 38.In a group of 31 children, 23 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 27 children, 16 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing neither of the two?
  40. 40.In a group of 34 grown-ups, 23 drink tea, 18 drink coffee and 11 drink both. How many drink at least one of the two?

Answer key

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

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