← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 398 · 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 50 children, 25 sing Hindi songs, 23 sing English songs and 10 sing both. How many sing only Hindi songs?
  2. 2.In a group of 48 children, 22 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 44 children, 24 like mangoes, 29 like bananas and 11 like both. How many like at least one of the two?
  4. 4.In a group of 38 grown-ups, 20 drink tea, 21 drink coffee and 11 drink both. How many drink only tea?
  5. 5.In a group of 53 grown-ups, 31 drink tea, 20 drink coffee and 11 drink both. How many drink only tea?
  6. 6.In a group of 38 children, 24 play chess, 18 play carrom and 9 play both. How many play only carrom?
  7. 7.In a group of 32 children, 26 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 37 children, 24 play chess, 15 play carrom and 6 play both. How many play exactly one of the two?
  9. 9.In a group of 36 grown-ups, 13 drink tea, 15 drink coffee and 7 drink both. How many drink exactly one of the two?
  10. 10.In a group of 52 children, 21 play chess, 31 play carrom and 11 play both. How many play exactly one of the two?
  11. 11.In a group of 25 children, 18 like mangoes, 10 like bananas and 6 like both. How many like exactly one of the two?
  12. 12.In a group of 47 children, 26 play cricket, 23 play football and 11 play both. How many play at least one of the two?
  13. 13.In a group of 31 children, 13 enjoy drawing, 19 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 46 children, 26 sing Hindi songs, 23 sing English songs and 8 sing both. How many sing exactly one of the two?
  15. 15.In a group of 41 children, 21 like mangoes, 19 like bananas and 8 like both. How many like exactly one of the two?
  16. 16.In a group of 34 children, 10 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 42 children, 10 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 41 children, 26 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 30 children, 11 like mangoes, 21 like bananas and 6 like both. How many like only bananas?
  20. 20.In a group of 34 children, 9 play chess, 13 play carrom and 2 play both. How many play neither of the two?
  21. 21.In a group of 56 children, 31 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 27 children, 15 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 18 grown-ups, 10 drink tea, 10 drink coffee and 7 drink both. How many drink exactly one of the two?
  24. 24.In a group of 22 children, 11 play cricket, 11 play football and 4 play both. How many play exactly one of the two?
  25. 25.In a group of 54 grown-ups, 24 drink tea, 29 drink coffee and 10 drink both. How many drink only tea?
  26. 26.In a group of 40 children, 23 like mangoes, 18 like bananas and 7 like both. How many like exactly one of the two?
  27. 27.In a group of 49 children, 31 play chess, 27 play carrom and 11 play both. How many play only carrom?
  28. 28.In a group of 42 children, 21 sing Hindi songs, 24 sing English songs and 10 sing both. How many sing only Hindi songs?
  29. 29.In a group of 39 children, 24 play chess, 22 play carrom and 9 play both. How many play at least one of the two?
  30. 30.In a group of 27 children, 11 like mangoes, 19 like bananas and 4 like both. How many like neither of the two?
  31. 31.In a group of 34 children, 14 play cricket, 22 play football and 7 play both. How many play only cricket?
  32. 32.In a group of 48 children, 25 play chess, 27 play carrom and 8 play both. How many play only carrom?
  33. 33.In a group of 26 grown-ups, 14 drink tea, 14 drink coffee and 11 drink both. How many drink neither of the two?
  34. 34.In a group of 23 grown-ups, 8 drink tea, 15 drink coffee and 3 drink both. How many drink exactly one of the two?
  35. 35.In a group of 36 children, 12 play chess, 14 play carrom and 3 play both. How many play only chess?
  36. 36.In a group of 27 children, 13 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  37. 37.In a group of 52 children, 29 play cricket, 31 play football and 12 play both. How many play only football?
  38. 38.In a group of 22 children, 14 like mangoes, 18 like bananas and 11 like both. How many like only bananas?
  39. 39.In a group of 23 children, 5 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 50 children, 21 like mangoes, 20 like bananas and 6 like both. How many like exactly one of the two?

Answer key

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

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