← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 613 · 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 59 children, 32 play chess, 32 play carrom and 12 play both. How many play only carrom?
  2. 2.In a group of 50 children, 25 sing Hindi songs, 23 sing English songs and 12 sing both. How many sing only Hindi songs?
  3. 3.In a group of 33 children, 24 play chess, 8 play carrom and 4 play both. How many play only carrom?
  4. 4.In a group of 55 children, 26 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 29 children, 15 play cricket, 18 play football and 9 play both. How many play at least one of the two?
  6. 6.In a group of 41 children, 25 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing at least one of the two?
  7. 7.In a group of 53 children, 25 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 34 children, 20 like mangoes, 16 like bananas and 5 like both. How many like neither of the two?
  9. 9.In a group of 34 children, 11 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  10. 10.In a group of 17 children, 8 play chess, 6 play carrom and 3 play both. How many play exactly one of the two?
  11. 11.In a group of 41 children, 32 play cricket, 15 play football and 12 play both. How many play neither of the two?
  12. 12.In a group of 48 children, 21 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 60 children, 31 play cricket, 25 play football and 11 play both. How many play at least one of the two?
  14. 14.In a group of 24 grown-ups, 10 drink tea, 11 drink coffee and 4 drink both. How many drink only coffee?
  15. 15.In a group of 32 children, 26 play chess, 15 play carrom and 12 play both. How many play only chess?
  16. 16.In a group of 37 children, 22 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  17. 17.In a group of 35 children, 15 play chess, 15 play carrom and 5 play both. How many play only chess?
  18. 18.In a group of 27 children, 17 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 20 children, 6 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 49 children, 27 play chess, 18 play carrom and 11 play both. How many play neither of the two?
  21. 21.In a group of 37 children, 24 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 32 children, 10 play chess, 22 play carrom and 7 play both. How many play only chess?
  23. 23.In a group of 34 grown-ups, 14 drink tea, 9 drink coffee and 4 drink both. How many drink only coffee?
  24. 24.In a group of 55 children, 22 sing Hindi songs, 26 sing English songs and 6 sing both. How many sing only Hindi songs?
  25. 25.In a group of 36 children, 13 like mangoes, 19 like bananas and 4 like both. How many like exactly one of the two?
  26. 26.In a group of 55 grown-ups, 23 drink tea, 22 drink coffee and 5 drink both. How many drink at least one of the two?
  27. 27.In a group of 40 children, 21 play cricket, 16 play football and 7 play both. How many play exactly one of the two?
  28. 28.In a group of 40 children, 18 play chess, 19 play carrom and 6 play both. How many play at least one of the two?
  29. 29.In a group of 24 children, 18 play chess, 11 play carrom and 7 play both. How many play only carrom?
  30. 30.In a group of 46 children, 21 play cricket, 24 play football and 10 play both. How many play at least one of the two?
  31. 31.In a group of 43 children, 17 play chess, 27 play carrom and 7 play both. How many play only carrom?
  32. 32.In a group of 20 children, 12 play chess, 13 play carrom and 6 play both. How many play only chess?
  33. 33.In a group of 43 children, 24 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 45 children, 26 enjoy drawing, 20 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  35. 35.In a group of 44 children, 19 sing Hindi songs, 30 sing English songs and 10 sing both. How many sing exactly one of the two?
  36. 36.In a group of 37 grown-ups, 20 drink tea, 23 drink coffee and 10 drink both. How many drink exactly one of the two?
  37. 37.In a group of 31 grown-ups, 13 drink tea, 18 drink coffee and 6 drink both. How many drink exactly one of the two?
  38. 38.In a group of 33 children, 27 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing neither of the two?
  39. 39.In a group of 25 children, 9 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  40. 40.In a group of 28 grown-ups, 13 drink tea, 14 drink coffee and 2 drink both. How many drink at least one of the two?

Answer key

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

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