← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 145 · 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 46 children, 14 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing only English songs?
  2. 2.In a group of 32 grown-ups, 19 drink tea, 12 drink coffee and 5 drink both. How many drink neither of the two?
  3. 3.In a group of 32 grown-ups, 21 drink tea, 18 drink coffee and 9 drink both. How many drink only coffee?
  4. 4.In a group of 23 grown-ups, 10 drink tea, 13 drink coffee and 6 drink both. How many drink only coffee?
  5. 5.In a group of 25 children, 17 play chess, 11 play carrom and 7 play both. How many play exactly one of the two?
  6. 6.In a group of 32 children, 11 play cricket, 19 play football and 4 play both. How many play neither of the two?
  7. 7.In a group of 27 children, 16 play chess, 8 play carrom and 2 play both. How many play only chess?
  8. 8.In a group of 34 children, 29 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing neither of the two?
  9. 9.In a group of 26 children, 19 like mangoes, 9 like bananas and 6 like both. How many like only bananas?
  10. 10.In a group of 32 children, 5 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 37 children, 15 play cricket, 12 play football and 4 play both. How many play only cricket?
  12. 12.In a group of 50 children, 20 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing only Hindi songs?
  13. 13.In a group of 34 children, 12 play cricket, 28 play football and 9 play both. How many play at least one of the two?
  14. 14.In a group of 46 children, 14 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 37 grown-ups, 17 drink tea, 20 drink coffee and 3 drink both. How many drink only tea?
  16. 16.In a group of 19 children, 11 play cricket, 9 play football and 6 play both. How many play exactly one of the two?
  17. 17.In a group of 37 children, 16 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing neither of the two?
  18. 18.In a group of 37 children, 14 enjoy drawing, 24 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 32 children, 9 play chess, 18 play carrom and 2 play both. How many play exactly one of the two?
  20. 20.In a group of 40 children, 26 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 54 children, 23 like mangoes, 28 like bananas and 9 like both. How many like only mangoes?
  22. 22.In a group of 45 children, 29 play cricket, 24 play football and 9 play both. How many play only cricket?
  23. 23.In a group of 48 grown-ups, 26 drink tea, 21 drink coffee and 11 drink both. How many drink neither of the two?
  24. 24.In a group of 41 children, 16 play chess, 14 play carrom and 2 play both. How many play neither of the two?
  25. 25.In a group of 51 grown-ups, 20 drink tea, 23 drink coffee and 6 drink both. How many drink only tea?
  26. 26.In a group of 26 children, 19 play chess, 9 play carrom and 5 play both. How many play exactly one of the two?
  27. 27.In a group of 17 grown-ups, 5 drink tea, 6 drink coffee and 2 drink both. How many drink only coffee?
  28. 28.In a group of 27 children, 17 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing neither of the two?
  29. 29.In a group of 29 children, 21 play cricket, 9 play football and 6 play both. How many play neither of the two?
  30. 30.In a group of 26 grown-ups, 11 drink tea, 19 drink coffee and 6 drink both. How many drink only tea?
  31. 31.In a group of 46 children, 20 like mangoes, 19 like bananas and 4 like both. How many like only bananas?
  32. 32.In a group of 34 children, 23 play chess, 11 play carrom and 3 play both. How many play only chess?
  33. 33.In a group of 35 children, 17 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing only Hindi songs?
  34. 34.In a group of 29 children, 9 play cricket, 18 play football and 2 play both. How many play neither of the two?
  35. 35.In a group of 31 children, 16 enjoy drawing, 21 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 33 children, 9 play cricket, 24 play football and 5 play both. How many play only football?
  37. 37.In a group of 41 children, 19 play chess, 21 play carrom and 4 play both. How many play only chess?
  38. 38.In a group of 38 grown-ups, 20 drink tea, 26 drink coffee and 10 drink both. How many drink at least one of the two?
  39. 39.In a group of 40 grown-ups, 22 drink tea, 22 drink coffee and 6 drink both. How many drink only tea?
  40. 40.In a group of 25 children, 11 play cricket, 14 play football and 3 play both. How many play exactly one of the two?

Answer key

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

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