← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 460 · 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 30 children, 20 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing only English songs?
  2. 2.In a group of 25 grown-ups, 15 drink tea, 13 drink coffee and 4 drink both. How many drink only coffee?
  3. 3.In a group of 34 children, 13 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 39 children, 21 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing exactly one of the two?
  5. 5.In a group of 23 children, 14 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 52 children, 24 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  7. 7.In a group of 36 grown-ups, 16 drink tea, 14 drink coffee and 9 drink both. How many drink exactly one of the two?
  8. 8.In a group of 35 children, 12 play chess, 26 play carrom and 8 play both. How many play only carrom?
  9. 9.In a group of 33 grown-ups, 12 drink tea, 17 drink coffee and 8 drink both. How many drink exactly one of the two?
  10. 10.In a group of 41 children, 15 enjoy drawing, 26 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 35 children, 7 play chess, 23 play carrom and 4 play both. How many play exactly one of the two?
  12. 12.In a group of 34 children, 23 play cricket, 13 play football and 9 play both. How many play only football?
  13. 13.In a group of 48 children, 29 play cricket, 20 play football and 11 play both. How many play only football?
  14. 14.In a group of 30 children, 19 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing exactly one of the two?
  15. 15.In a group of 43 children, 20 play chess, 15 play carrom and 4 play both. How many play exactly one of the two?
  16. 16.In a group of 28 children, 16 like mangoes, 15 like bananas and 10 like both. How many like neither of the two?
  17. 17.In a group of 46 grown-ups, 22 drink tea, 18 drink coffee and 5 drink both. How many drink only tea?
  18. 18.In a group of 18 grown-ups, 10 drink tea, 9 drink coffee and 4 drink both. How many drink only tea?
  19. 19.In a group of 37 children, 23 play cricket, 16 play football and 7 play both. How many play only football?
  20. 20.In a group of 50 children, 22 play cricket, 23 play football and 10 play both. How many play neither of the two?
  21. 21.In a group of 35 children, 20 play cricket, 17 play football and 10 play both. How many play neither of the two?
  22. 22.In a group of 28 children, 11 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  23. 23.In a group of 22 children, 10 play chess, 9 play carrom and 5 play both. How many play only carrom?
  24. 24.In a group of 35 children, 8 sing Hindi songs, 17 sing English songs and 2 sing both. How many sing only Hindi songs?
  25. 25.In a group of 40 children, 16 enjoy drawing, 13 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  26. 26.In a group of 47 children, 27 like mangoes, 14 like bananas and 8 like both. How many like at least one of the two?
  27. 27.In a group of 49 children, 21 play chess, 31 play carrom and 11 play both. How many play only carrom?
  28. 28.In a group of 44 children, 23 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 42 children, 22 play cricket, 19 play football and 9 play both. How many play at least one of the two?
  30. 30.In a group of 39 children, 13 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing at least one of the two?
  31. 31.In a group of 39 children, 19 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 47 children, 19 play cricket, 32 play football and 12 play both. How many play neither of the two?
  33. 33.In a group of 62 grown-ups, 30 drink tea, 28 drink coffee and 10 drink both. How many drink neither of the two?
  34. 34.In a group of 62 grown-ups, 29 drink tea, 30 drink coffee and 11 drink both. How many drink at least one of the two?
  35. 35.In a group of 48 children, 29 play cricket, 27 play football and 12 play both. How many play only cricket?
  36. 36.In a group of 35 children, 15 like mangoes, 17 like bananas and 8 like both. How many like neither of the two?
  37. 37.In a group of 50 children, 21 play cricket, 22 play football and 3 play both. How many play only football?
  38. 38.In a group of 30 children, 19 play cricket, 15 play football and 12 play both. How many play only cricket?
  39. 39.In a group of 49 grown-ups, 25 drink tea, 21 drink coffee and 8 drink both. How many drink neither of the two?
  40. 40.In a group of 46 children, 18 like mangoes, 26 like bananas and 9 like both. How many like at least one of the two?

Answer key

  1. 7
  2. 9
  3. 19
  4. 30
  5. 10
  6. 20
  7. 12
  8. 18
  9. 13
  10. 8
  11. 22
  12. 4
  13. 9
  14. 22
  15. 27
  16. 7
  17. 17
  18. 6
  19. 9
  20. 15
  21. 8
  22. 10
  23. 4
  24. 6
  25. 14
  26. 33
  27. 20
  28. 9
  29. 32
  30. 25
  31. 11
  32. 8
  33. 14
  34. 48
  35. 17
  36. 11
  37. 19
  38. 7
  39. 11
  40. 35

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