← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 15 · 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 33 children, 17 like mangoes, 24 like bananas and 11 like both. How many like only mangoes?
  2. 2.In a group of 47 children, 27 sing Hindi songs, 18 sing English songs and 7 sing both. How many sing at least one of the two?
  3. 3.In a group of 33 children, 16 like mangoes, 18 like bananas and 9 like both. How many like at least one of the two?
  4. 4.In a group of 36 grown-ups, 15 drink tea, 24 drink coffee and 4 drink both. How many drink only coffee?
  5. 5.In a group of 35 children, 9 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing exactly one of the two?
  6. 6.In a group of 47 children, 20 play chess, 31 play carrom and 12 play both. How many play at least one of the two?
  7. 7.In a group of 45 children, 18 play cricket, 26 play football and 9 play both. How many play at least one of the two?
  8. 8.In a group of 45 children, 27 like mangoes, 25 like bananas and 11 like both. How many like at least one of the two?
  9. 9.In a group of 39 grown-ups, 27 drink tea, 18 drink coffee and 11 drink both. How many drink only coffee?
  10. 10.In a group of 41 grown-ups, 19 drink tea, 21 drink coffee and 6 drink both. How many drink only tea?
  11. 11.In a group of 42 children, 23 play chess, 10 play carrom and 6 play both. How many play only chess?
  12. 12.In a group of 34 children, 14 sing Hindi songs, 16 sing English songs and 10 sing both. How many sing neither of the two?
  13. 13.In a group of 28 children, 12 play cricket, 17 play football and 4 play both. How many play only cricket?
  14. 14.In a group of 46 grown-ups, 16 drink tea, 27 drink coffee and 10 drink both. How many drink exactly one of the two?
  15. 15.In a group of 58 children, 23 like mangoes, 26 like bananas and 6 like both. How many like at least one of the two?
  16. 16.In a group of 25 children, 9 like mangoes, 16 like bananas and 4 like both. How many like only bananas?
  17. 17.In a group of 34 children, 14 sing Hindi songs, 17 sing English songs and 8 sing both. How many sing only English songs?
  18. 18.In a group of 29 children, 20 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 48 children, 19 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing only Hindi songs?
  20. 20.In a group of 45 children, 24 like mangoes, 16 like bananas and 8 like both. How many like only bananas?
  21. 21.In a group of 36 children, 31 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing only Hindi songs?
  22. 22.In a group of 37 children, 25 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  23. 23.In a group of 33 children, 14 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 31 grown-ups, 8 drink tea, 15 drink coffee and 5 drink both. How many drink only tea?
  25. 25.In a group of 26 children, 13 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing at least one of the two?
  26. 26.In a group of 26 grown-ups, 20 drink tea, 8 drink coffee and 5 drink both. How many drink at least one of the two?
  27. 27.In a group of 36 children, 9 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing only Hindi songs?
  28. 28.In a group of 37 children, 22 like mangoes, 13 like bananas and 6 like both. How many like only mangoes?
  29. 29.In a group of 36 children, 24 like mangoes, 17 like bananas and 11 like both. How many like only bananas?
  30. 30.In a group of 54 grown-ups, 28 drink tea, 28 drink coffee and 9 drink both. How many drink only tea?
  31. 31.In a group of 40 children, 19 play chess, 16 play carrom and 8 play both. How many play only carrom?
  32. 32.In a group of 42 grown-ups, 23 drink tea, 23 drink coffee and 7 drink both. How many drink only tea?
  33. 33.In a group of 44 children, 24 play chess, 27 play carrom and 9 play both. How many play at least one of the two?
  34. 34.In a group of 40 children, 24 play cricket, 17 play football and 12 play both. How many play only cricket?
  35. 35.In a group of 41 children, 24 like mangoes, 22 like bananas and 6 like both. How many like only mangoes?
  36. 36.In a group of 34 children, 13 enjoy drawing, 22 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  37. 37.In a group of 36 children, 15 play cricket, 12 play football and 5 play both. How many play only cricket?
  38. 38.In a group of 36 grown-ups, 19 drink tea, 9 drink coffee and 2 drink both. How many drink only tea?
  39. 39.In a group of 26 children, 12 play cricket, 9 play football and 5 play both. How many play neither of the two?
  40. 40.In a group of 30 children, 18 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing neither of the two?

Answer key

  1. 6
  2. 38
  3. 25
  4. 20
  5. 17
  6. 39
  7. 35
  8. 41
  9. 7
  10. 13
  11. 17
  12. 14
  13. 8
  14. 23
  15. 43
  16. 12
  17. 9
  18. 2
  19. 12
  20. 8
  21. 20
  22. 3
  23. 10
  24. 3
  25. 17
  26. 23
  27. 7
  28. 16
  29. 6
  30. 19
  31. 8
  32. 16
  33. 42
  34. 12
  35. 18
  36. 27
  37. 10
  38. 17
  39. 10
  40. 7

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