← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 686 · 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 33 grown-ups, 12 drink tea, 19 drink coffee and 5 drink both. How many drink neither of the two?
  2. 2.In a group of 55 children, 29 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 40 children, 18 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 37 children, 25 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 20 children, 9 sing Hindi songs, 14 sing English songs and 5 sing both. How many sing neither of the two?
  6. 6.In a group of 48 children, 25 play cricket, 32 play football and 12 play both. How many play neither of the two?
  7. 7.In a group of 30 children, 18 play chess, 8 play carrom and 4 play both. How many play only chess?
  8. 8.In a group of 38 children, 16 enjoy drawing, 10 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 32 children, 11 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing exactly one of the two?
  10. 10.In a group of 36 grown-ups, 27 drink tea, 12 drink coffee and 9 drink both. How many drink exactly one of the two?
  11. 11.In a group of 37 children, 22 play cricket, 8 play football and 3 play both. How many play exactly one of the two?
  12. 12.In a group of 40 children, 18 play cricket, 26 play football and 8 play both. How many play neither of the two?
  13. 13.In a group of 35 children, 15 like mangoes, 22 like bananas and 11 like both. How many like only bananas?
  14. 14.In a group of 37 children, 16 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 46 children, 21 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing only English songs?
  16. 16.In a group of 33 children, 8 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 52 children, 28 sing Hindi songs, 21 sing English songs and 8 sing both. How many sing neither of the two?
  18. 18.In a group of 31 children, 12 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 40 children, 20 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  20. 20.In a group of 32 grown-ups, 13 drink tea, 13 drink coffee and 9 drink both. How many drink exactly one of the two?
  21. 21.In a group of 50 children, 17 play chess, 32 play carrom and 12 play both. How many play only carrom?
  22. 22.In a group of 19 children, 9 play cricket, 13 play football and 4 play both. How many play neither of the two?
  23. 23.In a group of 30 children, 15 sing Hindi songs, 12 sing English songs and 4 sing both. How many sing only Hindi songs?
  24. 24.In a group of 42 children, 18 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 44 grown-ups, 26 drink tea, 25 drink coffee and 9 drink both. How many drink only coffee?
  26. 26.In a group of 32 children, 24 like mangoes, 8 like bananas and 4 like both. How many like neither of the two?
  27. 27.In a group of 43 children, 16 enjoy drawing, 25 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 30 children, 18 sing Hindi songs, 13 sing English songs and 4 sing both. How many sing neither of the two?
  29. 29.In a group of 48 grown-ups, 24 drink tea, 20 drink coffee and 8 drink both. How many drink at least one of the two?
  30. 30.In a group of 42 children, 28 play chess, 22 play carrom and 10 play both. How many play only chess?
  31. 31.In a group of 30 grown-ups, 12 drink tea, 6 drink coffee and 3 drink both. How many drink only tea?
  32. 32.In a group of 25 children, 10 play cricket, 12 play football and 6 play both. How many play at least one of the two?
  33. 33.In a group of 60 children, 27 play chess, 28 play carrom and 8 play both. How many play only carrom?
  34. 34.In a group of 33 children, 23 play chess, 17 play carrom and 10 play both. How many play exactly one of the two?
  35. 35.In a group of 34 children, 11 sing Hindi songs, 20 sing English songs and 8 sing both. How many sing only Hindi songs?
  36. 36.In a group of 30 children, 24 like mangoes, 9 like bananas and 6 like both. How many like neither of the two?
  37. 37.In a group of 35 children, 18 like mangoes, 28 like bananas and 12 like both. How many like only bananas?
  38. 38.In a group of 34 children, 18 play chess, 7 play carrom and 2 play both. How many play only chess?
  39. 39.In a group of 24 grown-ups, 12 drink tea, 11 drink coffee and 8 drink both. How many drink exactly one of the two?
  40. 40.In a group of 34 children, 13 play chess, 17 play carrom and 3 play both. How many play neither of the two?

Answer key

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

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