← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 118 · 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 39 children, 20 enjoy drawing, 11 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  2. 2.In a group of 42 children, 15 play chess, 22 play carrom and 7 play both. How many play neither of the two?
  3. 3.In a group of 34 children, 12 play cricket, 16 play football and 7 play both. How many play only football?
  4. 4.In a group of 44 children, 18 like mangoes, 26 like bananas and 10 like both. How many like neither of the two?
  5. 5.In a group of 45 children, 28 enjoy drawing, 16 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  6. 6.In a group of 45 children, 16 play cricket, 30 play football and 12 play both. How many play neither of the two?
  7. 7.In a group of 30 grown-ups, 16 drink tea, 21 drink coffee and 9 drink both. How many drink neither of the two?
  8. 8.In a group of 38 children, 10 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 31 children, 17 like mangoes, 14 like bananas and 10 like both. How many like exactly one of the two?
  10. 10.In a group of 49 children, 27 like mangoes, 22 like bananas and 7 like both. How many like at least one of the two?
  11. 11.In a group of 60 children, 27 like mangoes, 28 like bananas and 10 like both. How many like at least one of the two?
  12. 12.In a group of 29 children, 17 play chess, 14 play carrom and 3 play both. How many play at least one of the two?
  13. 13.In a group of 39 children, 21 play cricket, 25 play football and 9 play both. How many play only cricket?
  14. 14.In a group of 34 children, 12 play chess, 18 play carrom and 8 play both. How many play at least one of the two?
  15. 15.In a group of 44 children, 29 like mangoes, 16 like bananas and 12 like both. How many like only mangoes?
  16. 16.In a group of 45 children, 23 play chess, 26 play carrom and 6 play both. How many play at least one of the two?
  17. 17.In a group of 50 children, 24 sing Hindi songs, 18 sing English songs and 6 sing both. How many sing only Hindi songs?
  18. 18.In a group of 30 children, 15 like mangoes, 15 like bananas and 3 like both. How many like at least one of the two?
  19. 19.In a group of 56 children, 26 sing Hindi songs, 21 sing English songs and 6 sing both. How many sing only English songs?
  20. 20.In a group of 39 grown-ups, 18 drink tea, 17 drink coffee and 6 drink both. How many drink only coffee?
  21. 21.In a group of 36 grown-ups, 19 drink tea, 12 drink coffee and 4 drink both. How many drink neither of the two?
  22. 22.In a group of 38 children, 10 like mangoes, 17 like bananas and 2 like both. How many like at least one of the two?
  23. 23.In a group of 51 children, 19 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 36 children, 15 play cricket, 11 play football and 4 play both. How many play only football?
  25. 25.In a group of 34 children, 16 play cricket, 12 play football and 4 play both. How many play neither of the two?
  26. 26.In a group of 44 children, 21 like mangoes, 12 like bananas and 2 like both. How many like only bananas?
  27. 27.In a group of 41 children, 9 play cricket, 20 play football and 3 play both. How many play exactly one of the two?
  28. 28.In a group of 41 grown-ups, 21 drink tea, 20 drink coffee and 5 drink both. How many drink neither of the two?
  29. 29.In a group of 38 children, 23 play cricket, 15 play football and 10 play both. How many play at least one of the two?
  30. 30.In a group of 30 children, 9 enjoy drawing, 26 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 40 grown-ups, 20 drink tea, 25 drink coffee and 10 drink both. How many drink only coffee?
  32. 32.In a group of 34 children, 17 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 51 children, 31 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing at least one of the two?
  34. 34.In a group of 39 children, 23 like mangoes, 16 like bananas and 3 like both. How many like only bananas?
  35. 35.In a group of 39 children, 12 play chess, 22 play carrom and 4 play both. How many play only carrom?
  36. 36.In a group of 48 children, 14 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 49 children, 28 play cricket, 30 play football and 11 play both. How many play exactly one of the two?
  38. 38.In a group of 39 children, 13 like mangoes, 19 like bananas and 5 like both. How many like only bananas?
  39. 39.In a group of 37 children, 21 play cricket, 18 play football and 3 play both. How many play exactly one of the two?
  40. 40.In a group of 35 children, 18 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy only dancing?

Answer key

  1. 29
  2. 12
  3. 9
  4. 10
  5. 20
  6. 11
  7. 2
  8. 24
  9. 11
  10. 42
  11. 45
  12. 28
  13. 12
  14. 22
  15. 17
  16. 43
  17. 18
  18. 27
  19. 15
  20. 11
  21. 9
  22. 25
  23. 27
  24. 7
  25. 10
  26. 10
  27. 23
  28. 5
  29. 28
  30. 1
  31. 15
  32. 11
  33. 44
  34. 13
  35. 18
  36. 28
  37. 36
  38. 14
  39. 33
  40. 4

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