← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 179 · 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 39 children, 26 sing Hindi songs, 10 sing English songs and 7 sing both. How many sing at least one of the two?
  2. 2.In a group of 36 children, 25 sing Hindi songs, 15 sing English songs and 7 sing both. How many sing exactly one of the two?
  3. 3.In a group of 44 children, 24 play cricket, 18 play football and 10 play both. How many play only football?
  4. 4.In a group of 33 children, 12 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing only Hindi songs?
  5. 5.In a group of 24 children, 7 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 28 children, 10 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  7. 7.In a group of 40 children, 17 play chess, 27 play carrom and 11 play both. How many play at least one of the two?
  8. 8.In a group of 41 children, 21 like mangoes, 20 like bananas and 3 like both. How many like only mangoes?
  9. 9.In a group of 48 children, 19 like mangoes, 26 like bananas and 12 like both. How many like only bananas?
  10. 10.In a group of 34 children, 14 play cricket, 24 play football and 11 play both. How many play neither of the two?
  11. 11.In a group of 40 children, 11 play cricket, 25 play football and 5 play both. How many play only cricket?
  12. 12.In a group of 45 grown-ups, 25 drink tea, 18 drink coffee and 9 drink both. How many drink only coffee?
  13. 13.In a group of 38 grown-ups, 23 drink tea, 12 drink coffee and 4 drink both. How many drink only tea?
  14. 14.In a group of 30 children, 9 enjoy drawing, 22 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  15. 15.In a group of 46 children, 14 sing Hindi songs, 25 sing English songs and 8 sing both. How many sing at least one of the two?
  16. 16.In a group of 39 children, 18 play cricket, 22 play football and 12 play both. How many play neither of the two?
  17. 17.In a group of 32 children, 15 play chess, 20 play carrom and 7 play both. How many play neither of the two?
  18. 18.In a group of 38 children, 13 enjoy drawing, 28 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  19. 19.In a group of 57 children, 24 play chess, 26 play carrom and 7 play both. How many play only chess?
  20. 20.In a group of 48 children, 25 play chess, 23 play carrom and 5 play both. How many play at least one of the two?
  21. 21.In a group of 38 children, 31 play chess, 16 play carrom and 12 play both. How many play only carrom?
  22. 22.In a group of 31 children, 10 play chess, 17 play carrom and 4 play both. How many play only chess?
  23. 23.In a group of 44 children, 20 play cricket, 23 play football and 4 play both. How many play at least one of the two?
  24. 24.In a group of 15 children, 6 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 29 grown-ups, 13 drink tea, 14 drink coffee and 8 drink both. How many drink only tea?
  26. 26.In a group of 45 children, 19 play cricket, 19 play football and 4 play both. How many play at least one of the two?
  27. 27.In a group of 29 children, 16 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing at least one of the two?
  28. 28.In a group of 42 children, 18 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 41 children, 16 sing Hindi songs, 18 sing English songs and 4 sing both. How many sing exactly one of the two?
  30. 30.In a group of 38 grown-ups, 19 drink tea, 17 drink coffee and 7 drink both. How many drink at least one of the two?
  31. 31.In a group of 31 grown-ups, 17 drink tea, 12 drink coffee and 4 drink both. How many drink at least one of the two?
  32. 32.In a group of 40 children, 20 enjoy drawing, 12 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  33. 33.In a group of 42 grown-ups, 15 drink tea, 26 drink coffee and 6 drink both. How many drink neither of the two?
  34. 34.In a group of 50 children, 16 enjoy drawing, 28 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 37 grown-ups, 15 drink tea, 19 drink coffee and 9 drink both. How many drink at least one of the two?
  36. 36.In a group of 51 grown-ups, 25 drink tea, 20 drink coffee and 8 drink both. How many drink only tea?
  37. 37.In a group of 22 grown-ups, 12 drink tea, 12 drink coffee and 8 drink both. How many drink exactly one of the two?
  38. 38.In a group of 23 children, 13 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  39. 39.In a group of 44 children, 25 enjoy drawing, 20 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 31 children, 15 sing Hindi songs, 23 sing English songs and 12 sing both. How many sing neither of the two?

Answer key

  1. 29
  2. 26
  3. 8
  4. 4
  5. 5
  6. 4
  7. 33
  8. 18
  9. 14
  10. 7
  11. 6
  12. 9
  13. 19
  14. 25
  15. 31
  16. 11
  17. 4
  18. 33
  19. 17
  20. 43
  21. 4
  22. 6
  23. 39
  24. 12
  25. 5
  26. 34
  27. 24
  28. 18
  29. 26
  30. 29
  31. 25
  32. 20
  33. 7
  34. 14
  35. 25
  36. 17
  37. 8
  38. 9
  39. 36
  40. 5

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