← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 276 · 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 36 children, 21 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  2. 2.In a group of 56 children, 22 enjoy drawing, 31 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 15 children, 8 play cricket, 10 play football and 5 play both. How many play at least one of the two?
  4. 4.In a group of 44 children, 22 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing only Hindi songs?
  5. 5.In a group of 40 children, 13 play chess, 23 play carrom and 6 play both. How many play exactly one of the two?
  6. 6.In a group of 40 children, 18 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 28 children, 12 like mangoes, 20 like bananas and 8 like both. How many like neither of the two?
  8. 8.In a group of 35 grown-ups, 18 drink tea, 26 drink coffee and 10 drink both. How many drink exactly one of the two?
  9. 9.In a group of 40 children, 12 play cricket, 25 play football and 6 play both. How many play only football?
  10. 10.In a group of 49 grown-ups, 23 drink tea, 21 drink coffee and 3 drink both. How many drink exactly one of the two?
  11. 11.In a group of 47 children, 18 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only Hindi songs?
  12. 12.In a group of 32 children, 20 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing only Hindi songs?
  13. 13.In a group of 29 children, 19 like mangoes, 19 like bananas and 11 like both. How many like at least one of the two?
  14. 14.In a group of 28 children, 20 sing Hindi songs, 10 sing English songs and 7 sing both. How many sing neither of the two?
  15. 15.In a group of 46 children, 20 play chess, 25 play carrom and 12 play both. How many play at least one of the two?
  16. 16.In a group of 41 children, 13 play chess, 27 play carrom and 9 play both. How many play neither of the two?
  17. 17.In a group of 46 children, 19 like mangoes, 22 like bananas and 7 like both. How many like only bananas?
  18. 18.In a group of 33 children, 12 play chess, 25 play carrom and 8 play both. How many play only chess?
  19. 19.In a group of 25 children, 14 play cricket, 15 play football and 9 play both. How many play only football?
  20. 20.In a group of 41 grown-ups, 21 drink tea, 22 drink coffee and 10 drink both. How many drink at least one of the two?
  21. 21.In a group of 31 children, 10 play chess, 18 play carrom and 5 play both. How many play neither of the two?
  22. 22.In a group of 38 children, 29 like mangoes, 15 like bananas and 10 like both. How many like neither of the two?
  23. 23.In a group of 31 children, 9 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing at least one of the two?
  24. 24.In a group of 27 children, 14 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing at least one of the two?
  25. 25.In a group of 25 children, 15 play chess, 15 play carrom and 7 play both. How many play only carrom?
  26. 26.In a group of 39 children, 22 play cricket, 23 play football and 11 play both. How many play neither of the two?
  27. 27.In a group of 29 children, 18 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 26 children, 13 play chess, 12 play carrom and 8 play both. How many play only chess?
  29. 29.In a group of 49 children, 28 play chess, 18 play carrom and 11 play both. How many play neither of the two?
  30. 30.In a group of 50 grown-ups, 18 drink tea, 24 drink coffee and 7 drink both. How many drink at least one of the two?
  31. 31.In a group of 32 grown-ups, 18 drink tea, 14 drink coffee and 4 drink both. How many drink neither of the two?
  32. 32.In a group of 17 children, 8 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 53 children, 24 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 40 children, 21 sing Hindi songs, 22 sing English songs and 5 sing both. How many sing at least one of the two?
  35. 35.In a group of 52 children, 28 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 28 children, 12 play cricket, 15 play football and 8 play both. How many play only football?
  37. 37.In a group of 27 grown-ups, 20 drink tea, 17 drink coffee and 12 drink both. How many drink at least one of the two?
  38. 38.In a group of 33 grown-ups, 17 drink tea, 24 drink coffee and 11 drink both. How many drink at least one of the two?
  39. 39.In a group of 19 children, 13 like mangoes, 9 like bananas and 5 like both. How many like only bananas?
  40. 40.In a group of 41 children, 26 play cricket, 13 play football and 8 play both. How many play only cricket?

Answer key

  1. 15
  2. 42
  3. 13
  4. 18
  5. 24
  6. 9
  7. 4
  8. 24
  9. 19
  10. 38
  11. 14
  12. 8
  13. 27
  14. 5
  15. 33
  16. 10
  17. 15
  18. 4
  19. 6
  20. 33
  21. 8
  22. 4
  23. 18
  24. 18
  25. 8
  26. 5
  27. 13
  28. 5
  29. 14
  30. 35
  31. 4
  32. 12
  33. 33
  34. 38
  35. 30
  36. 7
  37. 25
  38. 30
  39. 4
  40. 18

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