← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 31 · 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 40 children, 15 like mangoes, 22 like bananas and 11 like both. How many like at least one of the two?
  2. 2.In a group of 44 children, 19 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  3. 3.In a group of 22 children, 15 play chess, 11 play carrom and 6 play both. How many play neither of the two?
  4. 4.In a group of 37 children, 14 play cricket, 17 play football and 2 play both. How many play exactly one of the two?
  5. 5.In a group of 31 grown-ups, 18 drink tea, 8 drink coffee and 2 drink both. How many drink exactly one of the two?
  6. 6.In a group of 35 children, 9 play chess, 18 play carrom and 3 play both. How many play neither of the two?
  7. 7.In a group of 34 children, 13 enjoy drawing, 18 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 43 children, 24 play chess, 22 play carrom and 6 play both. How many play at least one of the two?
  9. 9.In a group of 37 children, 22 play chess, 10 play carrom and 2 play both. How many play exactly one of the two?
  10. 10.In a group of 32 grown-ups, 17 drink tea, 11 drink coffee and 4 drink both. How many drink exactly one of the two?
  11. 11.In a group of 47 children, 27 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 37 children, 22 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 45 children, 18 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 28 children, 13 sing Hindi songs, 12 sing English songs and 6 sing both. How many sing exactly one of the two?
  15. 15.In a group of 19 grown-ups, 8 drink tea, 7 drink coffee and 3 drink both. How many drink only tea?
  16. 16.In a group of 28 grown-ups, 9 drink tea, 12 drink coffee and 5 drink both. How many drink only coffee?
  17. 17.In a group of 45 children, 23 play chess, 30 play carrom and 10 play both. How many play neither of the two?
  18. 18.In a group of 29 children, 14 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing at least one of the two?
  19. 19.In a group of 41 children, 14 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 33 children, 16 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing neither of the two?
  21. 21.In a group of 20 children, 10 play cricket, 9 play football and 5 play both. How many play only football?
  22. 22.In a group of 51 children, 24 sing Hindi songs, 29 sing English songs and 10 sing both. How many sing only English songs?
  23. 23.In a group of 34 children, 15 play cricket, 23 play football and 11 play both. How many play exactly one of the two?
  24. 24.In a group of 46 children, 23 sing Hindi songs, 11 sing English songs and 3 sing both. How many sing neither of the two?
  25. 25.In a group of 23 children, 11 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 53 children, 26 enjoy drawing, 22 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 55 children, 30 play chess, 22 play carrom and 10 play both. How many play only chess?
  28. 28.In a group of 39 children, 12 like mangoes, 27 like bananas and 8 like both. How many like exactly one of the two?
  29. 29.In a group of 26 children, 20 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  30. 30.In a group of 61 children, 26 like mangoes, 32 like bananas and 12 like both. How many like neither of the two?
  31. 31.In a group of 47 children, 22 play chess, 20 play carrom and 6 play both. How many play exactly one of the two?
  32. 32.In a group of 35 children, 19 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing only Hindi songs?
  33. 33.In a group of 46 children, 31 play cricket, 25 play football and 11 play both. How many play only cricket?
  34. 34.In a group of 35 grown-ups, 18 drink tea, 9 drink coffee and 5 drink both. How many drink only tea?
  35. 35.In a group of 33 grown-ups, 19 drink tea, 13 drink coffee and 2 drink both. How many drink only tea?
  36. 36.In a group of 30 grown-ups, 16 drink tea, 8 drink coffee and 3 drink both. How many drink only tea?
  37. 37.In a group of 46 children, 22 sing Hindi songs, 20 sing English songs and 3 sing both. How many sing at least one of the two?
  38. 38.In a group of 53 children, 25 like mangoes, 24 like bananas and 11 like both. How many like only mangoes?
  39. 39.In a group of 45 children, 20 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  40. 40.In a group of 38 children, 16 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy only drawing?

Answer key

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

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