← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 45 · 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, 6 play cricket, 17 play football and 3 play both. How many play neither of the two?
  2. 2.In a group of 53 children, 30 like mangoes, 21 like bananas and 10 like both. How many like only bananas?
  3. 3.In a group of 25 children, 18 sing Hindi songs, 14 sing English songs and 8 sing both. How many sing neither of the two?
  4. 4.In a group of 34 children, 16 play chess, 18 play carrom and 8 play both. How many play at least one of the two?
  5. 5.In a group of 33 children, 12 like mangoes, 17 like bananas and 6 like both. How many like at least one of the two?
  6. 6.In a group of 46 children, 22 play cricket, 17 play football and 4 play both. How many play exactly one of the two?
  7. 7.In a group of 41 children, 25 like mangoes, 19 like bananas and 11 like both. How many like neither of the two?
  8. 8.In a group of 25 children, 20 play cricket, 12 play football and 9 play both. How many play exactly one of the two?
  9. 9.In a group of 28 children, 12 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 36 children, 15 like mangoes, 14 like bananas and 8 like both. How many like at least one of the two?
  11. 11.In a group of 24 children, 12 like mangoes, 9 like bananas and 6 like both. How many like only bananas?
  12. 12.In a group of 30 children, 9 play chess, 9 play carrom and 2 play both. How many play neither of the two?
  13. 13.In a group of 26 children, 5 play chess, 19 play carrom and 2 play both. How many play only carrom?
  14. 14.In a group of 47 children, 20 play cricket, 20 play football and 6 play both. How many play at least one of the two?
  15. 15.In a group of 36 children, 19 like mangoes, 22 like bananas and 9 like both. How many like only mangoes?
  16. 16.In a group of 37 children, 20 sing Hindi songs, 14 sing English songs and 5 sing both. How many sing exactly one of the two?
  17. 17.In a group of 28 children, 13 play chess, 5 play carrom and 2 play both. How many play neither of the two?
  18. 18.In a group of 54 children, 25 like mangoes, 25 like bananas and 5 like both. How many like neither of the two?
  19. 19.In a group of 44 grown-ups, 19 drink tea, 22 drink coffee and 9 drink both. How many drink exactly one of the two?
  20. 20.In a group of 31 grown-ups, 23 drink tea, 10 drink coffee and 6 drink both. How many drink at least one of the two?
  21. 21.In a group of 61 children, 29 play cricket, 29 play football and 12 play both. How many play neither of the two?
  22. 22.In a group of 37 grown-ups, 21 drink tea, 25 drink coffee and 12 drink both. How many drink neither of the two?
  23. 23.In a group of 36 children, 22 play chess, 14 play carrom and 4 play both. How many play only carrom?
  24. 24.In a group of 32 children, 9 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing only English songs?
  25. 25.In a group of 30 children, 19 like mangoes, 16 like bananas and 10 like both. How many like neither of the two?
  26. 26.In a group of 40 children, 21 sing Hindi songs, 24 sing English songs and 8 sing both. How many sing at least one of the two?
  27. 27.In a group of 43 children, 15 sing Hindi songs, 21 sing English songs and 5 sing both. How many sing exactly one of the two?
  28. 28.In a group of 57 children, 24 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 43 children, 19 play cricket, 17 play football and 6 play both. How many play only football?
  30. 30.In a group of 47 children, 32 play cricket, 23 play football and 12 play both. How many play only cricket?
  31. 31.In a group of 43 grown-ups, 15 drink tea, 27 drink coffee and 7 drink both. How many drink exactly one of the two?
  32. 32.In a group of 38 children, 23 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  33. 33.In a group of 47 grown-ups, 19 drink tea, 17 drink coffee and 4 drink both. How many drink only coffee?
  34. 34.In a group of 37 children, 16 play chess, 30 play carrom and 12 play both. How many play exactly one of the two?
  35. 35.In a group of 43 children, 25 play chess, 22 play carrom and 9 play both. How many play neither of the two?
  36. 36.In a group of 37 children, 19 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing only English songs?
  37. 37.In a group of 40 children, 21 play chess, 9 play carrom and 5 play both. How many play neither of the two?
  38. 38.In a group of 26 children, 19 play chess, 15 play carrom and 11 play both. How many play neither of the two?
  39. 39.In a group of 30 children, 14 sing Hindi songs, 17 sing English songs and 9 sing both. How many sing only English songs?
  40. 40.In a group of 40 children, 23 play cricket, 11 play football and 3 play both. How many play only cricket?

Answer key

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

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