← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 69 · 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 14 children, 9 play cricket, 8 play football and 4 play both. How many play only cricket?
  2. 2.In a group of 32 children, 13 like mangoes, 21 like bananas and 10 like both. How many like only mangoes?
  3. 3.In a group of 42 children, 18 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 33 children, 6 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 41 children, 23 play cricket, 23 play football and 12 play both. How many play only cricket?
  6. 6.In a group of 44 children, 21 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing only English songs?
  7. 7.In a group of 48 children, 21 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing only English songs?
  8. 8.In a group of 34 children, 7 play chess, 20 play carrom and 4 play both. How many play only carrom?
  9. 9.In a group of 33 children, 20 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 31 children, 12 enjoy drawing, 23 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 37 children, 24 play cricket, 21 play football and 12 play both. How many play only cricket?
  12. 12.In a group of 32 children, 15 sing Hindi songs, 24 sing English songs and 8 sing both. How many sing at least one of the two?
  13. 13.In a group of 24 children, 9 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 34 children, 23 enjoy drawing, 20 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 42 children, 18 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 18 children, 11 play chess, 10 play carrom and 4 play both. How many play only chess?
  17. 17.In a group of 40 children, 25 play cricket, 22 play football and 10 play both. How many play at least one of the two?
  18. 18.In a group of 42 children, 19 play cricket, 19 play football and 2 play both. How many play only cricket?
  19. 19.In a group of 21 grown-ups, 7 drink tea, 6 drink coffee and 2 drink both. How many drink exactly one of the two?
  20. 20.In a group of 40 grown-ups, 17 drink tea, 22 drink coffee and 10 drink both. How many drink at least one of the two?
  21. 21.In a group of 44 children, 24 sing Hindi songs, 25 sing English songs and 7 sing both. How many sing at least one of the two?
  22. 22.In a group of 28 children, 22 like mangoes, 5 like bananas and 2 like both. How many like only mangoes?
  23. 23.In a group of 18 children, 12 play cricket, 8 play football and 5 play both. How many play only cricket?
  24. 24.In a group of 40 grown-ups, 19 drink tea, 13 drink coffee and 5 drink both. How many drink at least one of the two?
  25. 25.In a group of 39 children, 15 play cricket, 23 play football and 12 play both. How many play at least one of the two?
  26. 26.In a group of 26 children, 6 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing exactly one of the two?
  27. 27.In a group of 37 children, 19 sing Hindi songs, 26 sing English songs and 11 sing both. How many sing neither of the two?
  28. 28.In a group of 24 children, 11 play cricket, 20 play football and 8 play both. How many play neither of the two?
  29. 29.In a group of 41 children, 13 play chess, 19 play carrom and 5 play both. How many play only chess?
  30. 30.In a group of 41 children, 21 sing Hindi songs, 29 sing English songs and 11 sing both. How many sing exactly one of the two?
  31. 31.In a group of 22 grown-ups, 14 drink tea, 9 drink coffee and 5 drink both. How many drink only coffee?
  32. 32.In a group of 37 children, 20 play cricket, 18 play football and 12 play both. How many play neither of the two?
  33. 33.In a group of 38 children, 28 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 20 children, 14 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing only Hindi songs?
  35. 35.In a group of 54 grown-ups, 26 drink tea, 28 drink coffee and 12 drink both. How many drink at least one of the two?
  36. 36.In a group of 23 children, 18 sing Hindi songs, 11 sing English songs and 8 sing both. How many sing exactly one of the two?
  37. 37.In a group of 27 children, 7 play cricket, 17 play football and 2 play both. How many play neither of the two?
  38. 38.In a group of 51 children, 28 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing only Hindi songs?
  39. 39.In a group of 31 children, 14 play cricket, 10 play football and 3 play both. How many play only football?
  40. 40.In a group of 37 children, 12 play cricket, 20 play football and 3 play both. How many play only football?

Answer key

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

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