← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 131 · 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 49 children, 22 play chess, 19 play carrom and 6 play both. How many play at least one of the two?
  2. 2.In a group of 28 children, 23 play chess, 8 play carrom and 4 play both. How many play at least one of the two?
  3. 3.In a group of 24 grown-ups, 9 drink tea, 16 drink coffee and 6 drink both. How many drink exactly one of the two?
  4. 4.In a group of 28 grown-ups, 19 drink tea, 18 drink coffee and 11 drink both. How many drink exactly one of the two?
  5. 5.In a group of 33 children, 21 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing neither of the two?
  6. 6.In a group of 20 children, 10 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 27 children, 13 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  8. 8.In a group of 20 children, 11 play cricket, 12 play football and 6 play both. How many play only cricket?
  9. 9.In a group of 27 children, 15 enjoy drawing, 10 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 37 children, 12 play chess, 19 play carrom and 3 play both. How many play exactly one of the two?
  11. 11.In a group of 30 children, 20 like mangoes, 16 like bananas and 12 like both. How many like exactly one of the two?
  12. 12.In a group of 25 children, 21 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing neither of the two?
  13. 13.In a group of 36 children, 16 play cricket, 23 play football and 8 play both. How many play at least one of the two?
  14. 14.In a group of 38 children, 21 play chess, 21 play carrom and 10 play both. How many play only carrom?
  15. 15.In a group of 43 children, 19 play chess, 22 play carrom and 7 play both. How many play only chess?
  16. 16.In a group of 22 children, 16 play cricket, 7 play football and 4 play both. How many play at least one of the two?
  17. 17.In a group of 43 children, 23 play chess, 9 play carrom and 3 play both. How many play only carrom?
  18. 18.In a group of 39 children, 21 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing only English songs?
  19. 19.In a group of 32 children, 18 sing Hindi songs, 15 sing English songs and 11 sing both. How many sing at least one of the two?
  20. 20.In a group of 39 grown-ups, 20 drink tea, 20 drink coffee and 3 drink both. How many drink exactly one of the two?
  21. 21.In a group of 33 children, 22 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 20 children, 6 like mangoes, 8 like bananas and 2 like both. How many like at least one of the two?
  23. 23.In a group of 31 children, 19 play chess, 17 play carrom and 9 play both. How many play neither of the two?
  24. 24.In a group of 43 children, 15 like mangoes, 31 like bananas and 12 like both. How many like only bananas?
  25. 25.In a group of 43 children, 16 play chess, 22 play carrom and 2 play both. How many play exactly one of the two?
  26. 26.In a group of 35 grown-ups, 19 drink tea, 9 drink coffee and 4 drink both. How many drink exactly one of the two?
  27. 27.In a group of 22 children, 8 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  28. 28.In a group of 19 children, 13 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 45 grown-ups, 15 drink tea, 20 drink coffee and 3 drink both. How many drink neither of the two?
  30. 30.In a group of 36 grown-ups, 18 drink tea, 20 drink coffee and 3 drink both. How many drink neither of the two?
  31. 31.In a group of 41 children, 25 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 28 children, 19 play chess, 11 play carrom and 4 play both. How many play only carrom?
  33. 33.In a group of 25 children, 14 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  34. 34.In a group of 40 children, 20 sing Hindi songs, 11 sing English songs and 4 sing both. How many sing neither of the two?
  35. 35.In a group of 23 children, 16 play cricket, 15 play football and 11 play both. How many play only football?
  36. 36.In a group of 29 children, 13 play cricket, 19 play football and 7 play both. How many play only cricket?
  37. 37.In a group of 43 children, 15 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 52 grown-ups, 27 drink tea, 22 drink coffee and 11 drink both. How many drink at least one of the two?
  39. 39.In a group of 24 children, 12 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 35 children, 22 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?

Answer key

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

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