← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 79 · 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 42 children, 30 enjoy drawing, 17 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  2. 2.In a group of 24 children, 14 play cricket, 15 play football and 11 play both. How many play exactly one of the two?
  3. 3.In a group of 22 children, 13 play cricket, 13 play football and 7 play both. How many play exactly one of the two?
  4. 4.In a group of 24 grown-ups, 14 drink tea, 16 drink coffee and 10 drink both. How many drink only coffee?
  5. 5.In a group of 32 children, 16 play chess, 18 play carrom and 8 play both. How many play exactly one of the two?
  6. 6.In a group of 35 children, 12 like mangoes, 24 like bananas and 5 like both. How many like at least one of the two?
  7. 7.In a group of 16 children, 9 play chess, 8 play carrom and 5 play both. How many play neither of the two?
  8. 8.In a group of 35 children, 15 play chess, 23 play carrom and 4 play both. How many play only chess?
  9. 9.In a group of 25 grown-ups, 16 drink tea, 12 drink coffee and 7 drink both. How many drink neither of the two?
  10. 10.In a group of 43 children, 26 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing at least one of the two?
  11. 11.In a group of 53 children, 29 play cricket, 24 play football and 12 play both. How many play at least one of the two?
  12. 12.In a group of 34 children, 24 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 32 children, 16 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 34 children, 19 play cricket, 9 play football and 4 play both. How many play only cricket?
  15. 15.In a group of 46 children, 17 play cricket, 25 play football and 6 play both. How many play exactly one of the two?
  16. 16.In a group of 25 children, 8 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing at least one of the two?
  17. 17.In a group of 48 children, 17 play cricket, 28 play football and 11 play both. How many play at least one of the two?
  18. 18.In a group of 48 children, 30 play chess, 26 play carrom and 10 play both. How many play neither of the two?
  19. 19.In a group of 37 children, 18 play cricket, 15 play football and 2 play both. How many play only football?
  20. 20.In a group of 42 children, 15 play cricket, 16 play football and 2 play both. How many play only football?
  21. 21.In a group of 34 children, 22 play chess, 16 play carrom and 12 play both. How many play exactly one of the two?
  22. 22.In a group of 26 children, 12 enjoy drawing, 20 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 38 grown-ups, 16 drink tea, 27 drink coffee and 12 drink both. How many drink only coffee?
  24. 24.In a group of 43 children, 16 play chess, 20 play carrom and 4 play both. How many play exactly one of the two?
  25. 25.In a group of 36 children, 13 enjoy drawing, 16 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 26 children, 13 play chess, 16 play carrom and 5 play both. How many play only chess?
  27. 27.In a group of 43 children, 24 play chess, 16 play carrom and 12 play both. How many play only carrom?
  28. 28.In a group of 37 children, 18 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 39 children, 9 like mangoes, 17 like bananas and 2 like both. How many like at least one of the two?
  30. 30.In a group of 49 children, 27 like mangoes, 30 like bananas and 10 like both. How many like only bananas?
  31. 31.In a group of 23 grown-ups, 9 drink tea, 16 drink coffee and 3 drink both. How many drink only coffee?
  32. 32.In a group of 25 children, 18 play chess, 18 play carrom and 12 play both. How many play only chess?
  33. 33.In a group of 39 children, 17 play cricket, 9 play football and 2 play both. How many play only cricket?
  34. 34.In a group of 32 grown-ups, 9 drink tea, 17 drink coffee and 5 drink both. How many drink only coffee?
  35. 35.In a group of 36 children, 7 play cricket, 22 play football and 3 play both. How many play only football?
  36. 36.In a group of 37 children, 24 play cricket, 10 play football and 6 play both. How many play only cricket?
  37. 37.In a group of 44 children, 25 play chess, 24 play carrom and 11 play both. How many play neither of the two?
  38. 38.In a group of 47 children, 24 enjoy drawing, 14 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  39. 39.In a group of 57 grown-ups, 28 drink tea, 24 drink coffee and 8 drink both. How many drink only coffee?
  40. 40.In a group of 33 grown-ups, 20 drink tea, 10 drink coffee and 6 drink both. How many drink exactly one of the two?

Answer key

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

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