← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 203 · 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 41 children, 15 play cricket, 27 play football and 11 play both. How many play at least one of the two?
  2. 2.In a group of 47 children, 17 like mangoes, 24 like bananas and 5 like both. How many like at least one of the two?
  3. 3.In a group of 34 children, 19 enjoy drawing, 17 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 42 children, 19 enjoy drawing, 16 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 50 grown-ups, 27 drink tea, 25 drink coffee and 9 drink both. How many drink at least one of the two?
  6. 6.In a group of 41 grown-ups, 22 drink tea, 19 drink coffee and 9 drink both. How many drink only tea?
  7. 7.In a group of 36 children, 15 like mangoes, 24 like bananas and 5 like both. How many like at least one of the two?
  8. 8.In a group of 45 children, 12 sing Hindi songs, 27 sing English songs and 9 sing both. How many sing neither of the two?
  9. 9.In a group of 31 children, 7 like mangoes, 13 like bananas and 3 like both. How many like only bananas?
  10. 10.In a group of 52 children, 31 like mangoes, 25 like bananas and 11 like both. How many like only mangoes?
  11. 11.In a group of 24 grown-ups, 7 drink tea, 5 drink coffee and 2 drink both. How many drink only coffee?
  12. 12.In a group of 51 children, 29 sing Hindi songs, 27 sing English songs and 11 sing both. How many sing exactly one of the two?
  13. 13.In a group of 38 children, 23 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing exactly one of the two?
  14. 14.In a group of 47 children, 23 like mangoes, 17 like bananas and 3 like both. How many like exactly one of the two?
  15. 15.In a group of 25 children, 19 play cricket, 9 play football and 5 play both. How many play only football?
  16. 16.In a group of 42 children, 15 like mangoes, 21 like bananas and 8 like both. How many like at least one of the two?
  17. 17.In a group of 47 children, 24 enjoy drawing, 21 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 41 children, 17 play chess, 20 play carrom and 8 play both. How many play neither of the two?
  19. 19.In a group of 41 children, 16 enjoy drawing, 20 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 22 children, 9 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 36 grown-ups, 27 drink tea, 12 drink coffee and 7 drink both. How many drink exactly one of the two?
  22. 22.In a group of 32 children, 17 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing neither of the two?
  23. 23.In a group of 16 children, 10 play chess, 9 play carrom and 4 play both. How many play exactly one of the two?
  24. 24.In a group of 31 children, 12 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  25. 25.In a group of 35 grown-ups, 15 drink tea, 22 drink coffee and 4 drink both. How many drink only coffee?
  26. 26.In a group of 20 children, 14 play chess, 14 play carrom and 10 play both. How many play exactly one of the two?
  27. 27.In a group of 38 children, 24 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 44 children, 15 sing Hindi songs, 27 sing English songs and 8 sing both. How many sing only Hindi songs?
  29. 29.In a group of 51 children, 24 sing Hindi songs, 26 sing English songs and 6 sing both. How many sing at least one of the two?
  30. 30.In a group of 43 grown-ups, 21 drink tea, 18 drink coffee and 9 drink both. How many drink only tea?
  31. 31.In a group of 40 children, 16 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing only Hindi songs?
  32. 32.In a group of 34 grown-ups, 24 drink tea, 14 drink coffee and 8 drink both. How many drink neither of the two?
  33. 33.In a group of 41 children, 30 like mangoes, 17 like bananas and 11 like both. How many like only mangoes?
  34. 34.In a group of 28 grown-ups, 10 drink tea, 21 drink coffee and 4 drink both. How many drink only tea?
  35. 35.In a group of 28 children, 22 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 49 children, 28 play cricket, 26 play football and 10 play both. How many play exactly one of the two?
  37. 37.In a group of 35 grown-ups, 13 drink tea, 23 drink coffee and 9 drink both. How many drink exactly one of the two?
  38. 38.In a group of 32 grown-ups, 20 drink tea, 12 drink coffee and 8 drink both. How many drink only tea?
  39. 39.In a group of 29 children, 18 play chess, 16 play carrom and 10 play both. How many play only chess?
  40. 40.In a group of 32 children, 13 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?

Answer key

  1. 31
  2. 36
  3. 12
  4. 12
  5. 43
  6. 13
  7. 34
  8. 15
  9. 10
  10. 20
  11. 3
  12. 34
  13. 22
  14. 34
  15. 4
  16. 28
  17. 11
  18. 12
  19. 32
  20. 3
  21. 25
  22. 8
  23. 11
  24. 11
  25. 18
  26. 8
  27. 3
  28. 7
  29. 44
  30. 12
  31. 14
  32. 4
  33. 19
  34. 6
  35. 4
  36. 34
  37. 18
  38. 12
  39. 8
  40. 2

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