← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 444 · 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 28 children, 8 play cricket, 11 play football and 5 play both. How many play at least one of the two?
  2. 2.In a group of 54 children, 21 like mangoes, 27 like bananas and 9 like both. How many like only mangoes?
  3. 3.In a group of 32 children, 18 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing only English songs?
  4. 4.In a group of 29 grown-ups, 19 drink tea, 15 drink coffee and 6 drink both. How many drink only tea?
  5. 5.In a group of 28 children, 14 sing Hindi songs, 20 sing English songs and 7 sing both. How many sing at least one of the two?
  6. 6.In a group of 35 grown-ups, 22 drink tea, 16 drink coffee and 7 drink both. How many drink only coffee?
  7. 7.In a group of 13 children, 8 play chess, 6 play carrom and 2 play both. How many play exactly one of the two?
  8. 8.In a group of 37 children, 20 sing Hindi songs, 26 sing English songs and 11 sing both. How many sing at least one of the two?
  9. 9.In a group of 37 children, 16 sing Hindi songs, 16 sing English songs and 2 sing both. How many sing only English songs?
  10. 10.In a group of 38 children, 20 like mangoes, 24 like bananas and 8 like both. How many like only mangoes?
  11. 11.In a group of 28 children, 15 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 30 grown-ups, 13 drink tea, 20 drink coffee and 7 drink both. How many drink at least one of the two?
  13. 13.In a group of 36 children, 19 enjoy drawing, 16 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 31 children, 14 like mangoes, 18 like bananas and 8 like both. How many like exactly one of the two?
  15. 15.In a group of 36 children, 13 play cricket, 23 play football and 9 play both. How many play at least one of the two?
  16. 16.In a group of 31 children, 14 play chess, 16 play carrom and 7 play both. How many play only chess?
  17. 17.In a group of 26 children, 18 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  18. 18.In a group of 31 children, 13 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing at least one of the two?
  19. 19.In a group of 22 children, 13 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 31 children, 23 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 24 children, 16 play cricket, 17 play football and 11 play both. How many play neither of the two?
  22. 22.In a group of 23 children, 11 play chess, 8 play carrom and 4 play both. How many play only carrom?
  23. 23.In a group of 27 children, 20 play cricket, 11 play football and 7 play both. How many play exactly one of the two?
  24. 24.In a group of 24 children, 13 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 34 grown-ups, 12 drink tea, 17 drink coffee and 8 drink both. How many drink neither of the two?
  26. 26.In a group of 30 children, 14 enjoy drawing, 17 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 42 children, 11 sing Hindi songs, 27 sing English songs and 7 sing both. How many sing only Hindi songs?
  28. 28.In a group of 49 children, 28 play chess, 30 play carrom and 10 play both. How many play only carrom?
  29. 29.In a group of 41 children, 22 sing Hindi songs, 20 sing English songs and 3 sing both. How many sing only Hindi songs?
  30. 30.In a group of 34 children, 19 like mangoes, 23 like bananas and 9 like both. How many like only bananas?
  31. 31.In a group of 41 children, 10 play chess, 24 play carrom and 4 play both. How many play only chess?
  32. 32.In a group of 52 grown-ups, 29 drink tea, 23 drink coffee and 9 drink both. How many drink neither of the two?
  33. 33.In a group of 25 children, 10 play chess, 10 play carrom and 7 play both. How many play only carrom?
  34. 34.In a group of 28 children, 10 play chess, 12 play carrom and 7 play both. How many play only carrom?
  35. 35.In a group of 46 children, 32 like mangoes, 21 like bananas and 12 like both. How many like only bananas?
  36. 36.In a group of 60 grown-ups, 27 drink tea, 27 drink coffee and 7 drink both. How many drink exactly one of the two?
  37. 37.In a group of 55 children, 25 enjoy drawing, 27 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  38. 38.In a group of 42 children, 27 play cricket, 12 play football and 8 play both. How many play at least one of the two?
  39. 39.In a group of 42 children, 20 play cricket, 20 play football and 10 play both. How many play exactly one of the two?
  40. 40.In a group of 35 children, 14 sing Hindi songs, 30 sing English songs and 11 sing both. How many sing neither of the two?

Answer key

  1. 14
  2. 12
  3. 3
  4. 13
  5. 27
  6. 9
  7. 10
  8. 35
  9. 14
  10. 12
  11. 3
  12. 26
  13. 4
  14. 16
  15. 27
  16. 7
  17. 16
  18. 27
  19. 10
  20. 19
  21. 2
  22. 4
  23. 17
  24. 19
  25. 13
  26. 7
  27. 4
  28. 20
  29. 19
  30. 14
  31. 6
  32. 9
  33. 3
  34. 5
  35. 9
  36. 40
  37. 41
  38. 31
  39. 20
  40. 2

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