← Venn diagrams lesson New set →

Venn Diagram Worksheet

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

Answer key

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

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