← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 627 · 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 60 children, 28 play chess, 31 play carrom and 12 play both. How many play only carrom?
  2. 2.In a group of 53 children, 19 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing exactly one of the two?
  3. 3.In a group of 43 grown-ups, 25 drink tea, 18 drink coffee and 6 drink both. How many drink neither of the two?
  4. 4.In a group of 44 grown-ups, 23 drink tea, 21 drink coffee and 5 drink both. How many drink only coffee?
  5. 5.In a group of 36 children, 21 play chess, 16 play carrom and 4 play both. How many play only carrom?
  6. 6.In a group of 26 children, 10 play cricket, 8 play football and 3 play both. How many play exactly one of the two?
  7. 7.In a group of 43 grown-ups, 20 drink tea, 18 drink coffee and 4 drink both. How many drink neither of the two?
  8. 8.In a group of 32 children, 16 play cricket, 19 play football and 9 play both. How many play only cricket?
  9. 9.In a group of 34 children, 11 like mangoes, 24 like bananas and 4 like both. How many like only mangoes?
  10. 10.In a group of 33 children, 10 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  11. 11.In a group of 49 children, 16 play cricket, 27 play football and 9 play both. How many play at least one of the two?
  12. 12.In a group of 24 children, 9 play cricket, 7 play football and 3 play both. How many play exactly one of the two?
  13. 13.In a group of 34 children, 22 play chess, 6 play carrom and 3 play both. How many play only chess?
  14. 14.In a group of 33 grown-ups, 22 drink tea, 15 drink coffee and 5 drink both. How many drink neither of the two?
  15. 15.In a group of 50 children, 22 play chess, 27 play carrom and 7 play both. How many play only chess?
  16. 16.In a group of 42 children, 15 sing Hindi songs, 21 sing English songs and 7 sing both. How many sing only English songs?
  17. 17.In a group of 37 children, 9 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing at least one of the two?
  18. 18.In a group of 48 grown-ups, 30 drink tea, 19 drink coffee and 10 drink both. How many drink only coffee?
  19. 19.In a group of 37 children, 19 play chess, 19 play carrom and 7 play both. How many play exactly one of the two?
  20. 20.In a group of 38 children, 21 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing at least one of the two?
  21. 21.In a group of 50 children, 22 play chess, 27 play carrom and 8 play both. How many play only chess?
  22. 22.In a group of 41 children, 24 play chess, 24 play carrom and 8 play both. How many play at least one of the two?
  23. 23.In a group of 48 grown-ups, 28 drink tea, 17 drink coffee and 8 drink both. How many drink neither of the two?
  24. 24.In a group of 37 grown-ups, 27 drink tea, 14 drink coffee and 10 drink both. How many drink only tea?
  25. 25.In a group of 51 children, 24 like mangoes, 23 like bananas and 4 like both. How many like exactly one of the two?
  26. 26.In a group of 18 children, 9 play cricket, 10 play football and 6 play both. How many play exactly one of the two?
  27. 27.In a group of 24 children, 10 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing only Hindi songs?
  28. 28.In a group of 48 grown-ups, 19 drink tea, 21 drink coffee and 5 drink both. How many drink only tea?
  29. 29.In a group of 32 children, 12 enjoy drawing, 17 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  30. 30.In a group of 40 grown-ups, 18 drink tea, 16 drink coffee and 4 drink both. How many drink only coffee?
  31. 31.In a group of 47 children, 21 sing Hindi songs, 30 sing English songs and 11 sing both. How many sing at least one of the two?
  32. 32.In a group of 35 children, 19 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing only Hindi songs?
  33. 33.In a group of 47 children, 27 sing Hindi songs, 17 sing English songs and 8 sing both. How many sing exactly one of the two?
  34. 34.In a group of 40 children, 24 play chess, 22 play carrom and 10 play both. How many play exactly one of the two?
  35. 35.In a group of 30 children, 21 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing only English songs?
  36. 36.In a group of 43 grown-ups, 15 drink tea, 27 drink coffee and 8 drink both. How many drink only tea?
  37. 37.In a group of 32 children, 25 play chess, 9 play carrom and 5 play both. How many play only carrom?
  38. 38.In a group of 28 grown-ups, 19 drink tea, 18 drink coffee and 12 drink both. How many drink at least one of the two?
  39. 39.In a group of 26 children, 7 play chess, 7 play carrom and 3 play both. How many play only carrom?
  40. 40.In a group of 28 children, 8 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy only dancing?

Answer key

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

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