← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 18 · 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 22 children, 14 like mangoes, 16 like bananas and 9 like both. How many like exactly one of the two?
  2. 2.In a group of 45 children, 21 like mangoes, 23 like bananas and 9 like both. How many like exactly one of the two?
  3. 3.In a group of 34 children, 17 sing Hindi songs, 18 sing English songs and 6 sing both. How many sing only English songs?
  4. 4.In a group of 25 children, 14 like mangoes, 10 like bananas and 2 like both. How many like neither of the two?
  5. 5.In a group of 36 children, 17 play chess, 17 play carrom and 7 play both. How many play at least one of the two?
  6. 6.In a group of 39 children, 13 play cricket, 24 play football and 5 play both. How many play exactly one of the two?
  7. 7.In a group of 30 children, 17 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 31 grown-ups, 19 drink tea, 19 drink coffee and 9 drink both. How many drink at least one of the two?
  9. 9.In a group of 33 children, 17 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 45 children, 25 play cricket, 23 play football and 10 play both. How many play only football?
  11. 11.In a group of 30 grown-ups, 17 drink tea, 16 drink coffee and 9 drink both. How many drink neither of the two?
  12. 12.In a group of 32 children, 15 like mangoes, 22 like bananas and 11 like both. How many like only bananas?
  13. 13.In a group of 48 children, 30 like mangoes, 15 like bananas and 11 like both. How many like at least one of the two?
  14. 14.In a group of 42 children, 27 play cricket, 21 play football and 7 play both. How many play neither of the two?
  15. 15.In a group of 50 children, 24 play chess, 25 play carrom and 11 play both. How many play only carrom?
  16. 16.In a group of 32 grown-ups, 16 drink tea, 10 drink coffee and 4 drink both. How many drink at least one of the two?
  17. 17.In a group of 28 children, 14 play cricket, 17 play football and 8 play both. How many play exactly one of the two?
  18. 18.In a group of 43 children, 13 play cricket, 25 play football and 8 play both. How many play only football?
  19. 19.In a group of 42 children, 24 play chess, 22 play carrom and 12 play both. How many play neither of the two?
  20. 20.In a group of 48 children, 25 play cricket, 20 play football and 7 play both. How many play neither of the two?
  21. 21.In a group of 33 children, 25 play cricket, 9 play football and 6 play both. How many play neither of the two?
  22. 22.In a group of 59 grown-ups, 30 drink tea, 26 drink coffee and 12 drink both. How many drink neither of the two?
  23. 23.In a group of 36 children, 16 play cricket, 15 play football and 3 play both. How many play exactly one of the two?
  24. 24.In a group of 39 children, 18 play cricket, 22 play football and 3 play both. How many play exactly one of the two?
  25. 25.In a group of 39 children, 21 like mangoes, 20 like bananas and 12 like both. How many like exactly one of the two?
  26. 26.In a group of 36 children, 17 play chess, 22 play carrom and 12 play both. How many play exactly one of the two?
  27. 27.In a group of 34 grown-ups, 24 drink tea, 10 drink coffee and 7 drink both. How many drink only coffee?
  28. 28.In a group of 25 children, 12 like mangoes, 13 like bananas and 3 like both. How many like only mangoes?
  29. 29.In a group of 29 children, 11 like mangoes, 17 like bananas and 3 like both. How many like neither of the two?
  30. 30.In a group of 49 children, 18 play chess, 23 play carrom and 6 play both. How many play only chess?
  31. 31.In a group of 31 children, 11 like mangoes, 11 like bananas and 4 like both. How many like only bananas?
  32. 32.In a group of 45 grown-ups, 13 drink tea, 24 drink coffee and 7 drink both. How many drink only tea?
  33. 33.In a group of 46 grown-ups, 22 drink tea, 30 drink coffee and 10 drink both. How many drink neither of the two?
  34. 34.In a group of 36 children, 19 play cricket, 16 play football and 5 play both. How many play only football?
  35. 35.In a group of 27 children, 21 play chess, 14 play carrom and 10 play both. How many play only chess?
  36. 36.In a group of 37 children, 20 play chess, 14 play carrom and 9 play both. How many play at least one of the two?
  37. 37.In a group of 51 children, 29 play chess, 21 play carrom and 12 play both. How many play only chess?
  38. 38.In a group of 48 children, 30 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  39. 39.In a group of 46 children, 25 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 31 children, 11 play chess, 10 play carrom and 4 play both. How many play only chess?

Answer key

  1. 12
  2. 26
  3. 12
  4. 3
  5. 27
  6. 27
  7. 29
  8. 29
  9. 26
  10. 13
  11. 6
  12. 11
  13. 34
  14. 1
  15. 14
  16. 22
  17. 15
  18. 17
  19. 8
  20. 10
  21. 5
  22. 15
  23. 25
  24. 34
  25. 17
  26. 15
  27. 3
  28. 9
  29. 4
  30. 12
  31. 7
  32. 6
  33. 4
  34. 11
  35. 11
  36. 25
  37. 17
  38. 41
  39. 25
  40. 7

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