← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 653 · 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 32 children, 8 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  2. 2.In a group of 37 children, 26 play cricket, 13 play football and 6 play both. How many play only cricket?
  3. 3.In a group of 55 children, 24 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 38 grown-ups, 20 drink tea, 14 drink coffee and 10 drink both. How many drink at least one of the two?
  5. 5.In a group of 37 children, 17 like mangoes, 24 like bananas and 9 like both. How many like only bananas?
  6. 6.In a group of 30 children, 23 play chess, 14 play carrom and 9 play both. How many play exactly one of the two?
  7. 7.In a group of 48 children, 28 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 31 children, 14 play chess, 21 play carrom and 6 play both. How many play only carrom?
  9. 9.In a group of 47 grown-ups, 23 drink tea, 25 drink coffee and 12 drink both. How many drink at least one of the two?
  10. 10.In a group of 38 children, 15 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 23 children, 7 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 28 children, 20 like mangoes, 8 like bananas and 4 like both. How many like exactly one of the two?
  13. 13.In a group of 56 children, 26 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 26 children, 14 like mangoes, 7 like bananas and 3 like both. How many like at least one of the two?
  15. 15.In a group of 34 children, 17 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 54 children, 20 play chess, 25 play carrom and 5 play both. How many play only chess?
  17. 17.In a group of 42 children, 27 like mangoes, 17 like bananas and 7 like both. How many like exactly one of the two?
  18. 18.In a group of 22 children, 13 play chess, 12 play carrom and 9 play both. How many play at least one of the two?
  19. 19.In a group of 29 children, 17 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  20. 20.In a group of 21 children, 12 play cricket, 7 play football and 2 play both. How many play neither of the two?
  21. 21.In a group of 27 children, 12 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing only Hindi songs?
  22. 22.In a group of 29 children, 17 like mangoes, 13 like bananas and 9 like both. How many like exactly one of the two?
  23. 23.In a group of 27 grown-ups, 10 drink tea, 7 drink coffee and 2 drink both. How many drink exactly one of the two?
  24. 24.In a group of 20 children, 15 play chess, 16 play carrom and 12 play both. How many play neither of the two?
  25. 25.In a group of 44 grown-ups, 16 drink tea, 21 drink coffee and 5 drink both. How many drink at least one of the two?
  26. 26.In a group of 45 children, 16 play chess, 25 play carrom and 7 play both. How many play exactly one of the two?
  27. 27.In a group of 57 children, 27 enjoy drawing, 28 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 50 children, 28 play chess, 28 play carrom and 11 play both. How many play only chess?
  29. 29.In a group of 30 children, 8 like mangoes, 18 like bananas and 2 like both. How many like exactly one of the two?
  30. 30.In a group of 25 children, 11 enjoy drawing, 10 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 34 children, 9 play chess, 17 play carrom and 5 play both. How many play only carrom?
  32. 32.In a group of 30 children, 12 play cricket, 21 play football and 9 play both. How many play only cricket?
  33. 33.In a group of 29 children, 17 sing Hindi songs, 14 sing English songs and 4 sing both. How many sing at least one of the two?
  34. 34.In a group of 28 children, 15 play chess, 20 play carrom and 11 play both. How many play at least one of the two?
  35. 35.In a group of 34 children, 29 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing neither of the two?
  36. 36.In a group of 35 children, 25 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  37. 37.In a group of 45 children, 27 play cricket, 11 play football and 8 play both. How many play only football?
  38. 38.In a group of 47 children, 26 play chess, 24 play carrom and 10 play both. How many play exactly one of the two?
  39. 39.In a group of 38 children, 26 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 35 grown-ups, 20 drink tea, 19 drink coffee and 10 drink both. How many drink exactly one of the two?

Answer key

  1. 4
  2. 20
  3. 18
  4. 24
  5. 15
  6. 19
  7. 27
  8. 15
  9. 36
  10. 5
  11. 20
  12. 20
  13. 41
  14. 18
  15. 9
  16. 15
  17. 30
  18. 16
  19. 5
  20. 4
  21. 4
  22. 12
  23. 13
  24. 1
  25. 32
  26. 27
  27. 46
  28. 17
  29. 22
  30. 6
  31. 12
  32. 3
  33. 27
  34. 24
  35. 1
  36. 28
  37. 3
  38. 30
  39. 3
  40. 19

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