← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 334 · 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 48 children, 20 play cricket, 25 play football and 10 play both. How many play neither of the two?
  2. 2.In a group of 54 children, 25 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 34 grown-ups, 16 drink tea, 22 drink coffee and 10 drink both. How many drink only tea?
  4. 4.In a group of 34 children, 23 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing at least one of the two?
  5. 5.In a group of 16 children, 7 play cricket, 10 play football and 3 play both. How many play neither of the two?
  6. 6.In a group of 31 grown-ups, 9 drink tea, 18 drink coffee and 2 drink both. How many drink only coffee?
  7. 7.In a group of 40 children, 18 play chess, 26 play carrom and 10 play both. How many play only carrom?
  8. 8.In a group of 18 children, 7 like mangoes, 12 like bananas and 2 like both. How many like exactly one of the two?
  9. 9.In a group of 24 children, 17 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 31 children, 11 sing Hindi songs, 19 sing English songs and 4 sing both. How many sing at least one of the two?
  11. 11.In a group of 34 children, 12 like mangoes, 29 like bananas and 9 like both. How many like only bananas?
  12. 12.In a group of 39 children, 17 play cricket, 11 play football and 2 play both. How many play neither of the two?
  13. 13.In a group of 45 children, 22 enjoy drawing, 23 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 47 children, 28 like mangoes, 17 like bananas and 8 like both. How many like neither of the two?
  15. 15.In a group of 34 children, 13 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing at least one of the two?
  16. 16.In a group of 52 children, 23 play cricket, 19 play football and 4 play both. How many play only cricket?
  17. 17.In a group of 46 children, 28 play chess, 24 play carrom and 9 play both. How many play at least one of the two?
  18. 18.In a group of 39 children, 12 sing Hindi songs, 17 sing English songs and 4 sing both. How many sing only Hindi songs?
  19. 19.In a group of 51 children, 25 play chess, 31 play carrom and 11 play both. How many play neither of the two?
  20. 20.In a group of 29 children, 18 play cricket, 18 play football and 8 play both. How many play only cricket?
  21. 21.In a group of 20 children, 6 like mangoes, 13 like bananas and 3 like both. How many like at least one of the two?
  22. 22.In a group of 50 children, 28 enjoy drawing, 19 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 29 grown-ups, 20 drink tea, 13 drink coffee and 5 drink both. How many drink only coffee?
  24. 24.In a group of 41 children, 17 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing neither of the two?
  25. 25.In a group of 35 children, 12 sing Hindi songs, 19 sing English songs and 6 sing both. How many sing only English songs?
  26. 26.In a group of 35 children, 11 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 38 children, 15 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 22 children, 12 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 41 children, 28 play chess, 19 play carrom and 10 play both. How many play only carrom?
  30. 30.In a group of 39 children, 22 play chess, 17 play carrom and 3 play both. How many play only chess?
  31. 31.In a group of 54 children, 25 play chess, 22 play carrom and 5 play both. How many play at least one of the two?
  32. 32.In a group of 37 children, 19 like mangoes, 9 like bananas and 3 like both. How many like only bananas?
  33. 33.In a group of 46 children, 14 play chess, 29 play carrom and 11 play both. How many play exactly one of the two?
  34. 34.In a group of 53 grown-ups, 21 drink tea, 22 drink coffee and 5 drink both. How many drink only tea?
  35. 35.In a group of 34 children, 22 play chess, 10 play carrom and 3 play both. How many play neither of the two?
  36. 36.In a group of 31 children, 11 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing exactly one of the two?
  37. 37.In a group of 41 grown-ups, 21 drink tea, 10 drink coffee and 2 drink both. How many drink exactly one of the two?
  38. 38.In a group of 32 children, 15 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing exactly one of the two?
  39. 39.In a group of 42 grown-ups, 28 drink tea, 20 drink coffee and 8 drink both. How many drink neither of the two?
  40. 40.In a group of 38 children, 17 play chess, 25 play carrom and 11 play both. How many play only carrom?

Answer key

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

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