← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 186 · 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 55 grown-ups, 27 drink tea, 31 drink coffee and 11 drink both. How many drink at least one of the two?
  2. 2.In a group of 32 grown-ups, 14 drink tea, 18 drink coffee and 3 drink both. How many drink at least one of the two?
  3. 3.In a group of 42 children, 14 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 29 children, 9 play cricket, 19 play football and 2 play both. How many play only cricket?
  5. 5.In a group of 31 children, 25 play chess, 11 play carrom and 7 play both. How many play only chess?
  6. 6.In a group of 43 children, 14 play cricket, 28 play football and 9 play both. How many play exactly one of the two?
  7. 7.In a group of 40 children, 21 play cricket, 16 play football and 7 play both. How many play exactly one of the two?
  8. 8.In a group of 17 children, 8 play cricket, 10 play football and 2 play both. How many play only football?
  9. 9.In a group of 37 children, 9 play chess, 22 play carrom and 4 play both. How many play at least one of the two?
  10. 10.In a group of 47 children, 22 enjoy drawing, 18 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  11. 11.In a group of 51 children, 31 play cricket, 30 play football and 11 play both. How many play only cricket?
  12. 12.In a group of 36 grown-ups, 19 drink tea, 21 drink coffee and 7 drink both. How many drink only tea?
  13. 13.In a group of 39 children, 7 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 31 children, 19 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 32 children, 11 sing Hindi songs, 11 sing English songs and 3 sing both. How many sing only Hindi songs?
  16. 16.In a group of 42 children, 27 play chess, 11 play carrom and 8 play both. How many play only carrom?
  17. 17.In a group of 36 children, 15 play cricket, 24 play football and 4 play both. How many play only cricket?
  18. 18.In a group of 30 children, 9 play cricket, 20 play football and 3 play both. How many play exactly one of the two?
  19. 19.In a group of 35 children, 23 sing Hindi songs, 15 sing English songs and 6 sing both. How many sing only English songs?
  20. 20.In a group of 29 children, 10 play cricket, 14 play football and 2 play both. How many play exactly one of the two?
  21. 21.In a group of 25 children, 19 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 43 children, 25 play cricket, 22 play football and 6 play both. How many play only football?
  23. 23.In a group of 43 children, 23 enjoy drawing, 22 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  24. 24.In a group of 44 children, 24 sing Hindi songs, 18 sing English songs and 7 sing both. How many sing only Hindi songs?
  25. 25.In a group of 48 children, 25 sing Hindi songs, 27 sing English songs and 7 sing both. How many sing at least one of the two?
  26. 26.In a group of 38 children, 8 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 32 children, 16 play cricket, 20 play football and 11 play both. How many play at least one of the two?
  28. 28.In a group of 41 children, 23 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 36 children, 11 play chess, 22 play carrom and 4 play both. How many play only chess?
  30. 30.In a group of 56 children, 26 play cricket, 28 play football and 11 play both. How many play only cricket?
  31. 31.In a group of 50 children, 29 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 29 children, 15 enjoy drawing, 16 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 49 children, 23 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  34. 34.In a group of 31 children, 23 like mangoes, 13 like bananas and 10 like both. How many like only mangoes?
  35. 35.In a group of 30 children, 13 play cricket, 21 play football and 6 play both. How many play only cricket?
  36. 36.In a group of 34 children, 21 sing Hindi songs, 18 sing English songs and 9 sing both. How many sing neither of the two?
  37. 37.In a group of 37 children, 24 like mangoes, 23 like bananas and 11 like both. How many like only bananas?
  38. 38.In a group of 31 children, 19 play cricket, 11 play football and 8 play both. How many play at least one of the two?
  39. 39.In a group of 30 children, 13 play chess, 12 play carrom and 8 play both. How many play only chess?
  40. 40.In a group of 29 grown-ups, 14 drink tea, 21 drink coffee and 11 drink both. How many drink only tea?

Answer key

  1. 47
  2. 29
  3. 19
  4. 7
  5. 18
  6. 24
  7. 23
  8. 8
  9. 27
  10. 24
  11. 20
  12. 12
  13. 24
  14. 7
  15. 8
  16. 3
  17. 11
  18. 23
  19. 9
  20. 20
  21. 21
  22. 16
  23. 37
  24. 17
  25. 45
  26. 13
  27. 25
  28. 19
  29. 7
  30. 15
  31. 17
  32. 23
  33. 9
  34. 13
  35. 7
  36. 4
  37. 12
  38. 22
  39. 5
  40. 3

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