← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 488 · 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 26 children, 8 enjoy drawing, 13 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  2. 2.In a group of 26 children, 22 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 35 children, 23 like mangoes, 13 like bananas and 9 like both. How many like only mangoes?
  4. 4.In a group of 32 children, 13 play cricket, 21 play football and 5 play both. How many play at least one of the two?
  5. 5.In a group of 34 children, 8 like mangoes, 19 like bananas and 2 like both. How many like neither of the two?
  6. 6.In a group of 43 children, 22 play cricket, 18 play football and 5 play both. How many play at least one of the two?
  7. 7.In a group of 42 children, 14 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 38 children, 27 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 39 grown-ups, 12 drink tea, 21 drink coffee and 6 drink both. How many drink only coffee?
  10. 10.In a group of 29 children, 12 like mangoes, 18 like bananas and 4 like both. How many like only bananas?
  11. 11.In a group of 51 children, 30 play cricket, 24 play football and 10 play both. How many play exactly one of the two?
  12. 12.In a group of 45 children, 26 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 20 grown-ups, 9 drink tea, 10 drink coffee and 5 drink both. How many drink neither of the two?
  14. 14.In a group of 32 children, 24 like mangoes, 13 like bananas and 9 like both. How many like only mangoes?
  15. 15.In a group of 26 children, 21 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  16. 16.In a group of 47 children, 28 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing at least one of the two?
  17. 17.In a group of 39 children, 12 sing Hindi songs, 21 sing English songs and 9 sing both. How many sing exactly one of the two?
  18. 18.In a group of 38 grown-ups, 24 drink tea, 15 drink coffee and 6 drink both. How many drink only coffee?
  19. 19.In a group of 50 children, 28 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 49 grown-ups, 16 drink tea, 25 drink coffee and 5 drink both. How many drink only tea?
  21. 21.In a group of 37 children, 17 play chess, 29 play carrom and 10 play both. How many play only chess?
  22. 22.In a group of 53 grown-ups, 26 drink tea, 30 drink coffee and 12 drink both. How many drink neither of the two?
  23. 23.In a group of 38 grown-ups, 19 drink tea, 17 drink coffee and 2 drink both. How many drink at least one of the two?
  24. 24.In a group of 43 grown-ups, 30 drink tea, 23 drink coffee and 12 drink both. How many drink at least one of the two?
  25. 25.In a group of 18 children, 6 play cricket, 13 play football and 2 play both. How many play exactly one of the two?
  26. 26.In a group of 32 children, 22 play chess, 17 play carrom and 8 play both. How many play neither of the two?
  27. 27.In a group of 49 children, 23 play chess, 24 play carrom and 7 play both. How many play at least one of the two?
  28. 28.In a group of 22 children, 11 play chess, 15 play carrom and 5 play both. How many play neither of the two?
  29. 29.In a group of 42 children, 18 play chess, 16 play carrom and 2 play both. How many play only carrom?
  30. 30.In a group of 26 children, 15 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing only Hindi songs?
  31. 31.In a group of 51 children, 27 enjoy drawing, 23 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 30 children, 6 play cricket, 14 play football and 3 play both. How many play only football?
  33. 33.In a group of 50 children, 26 play chess, 25 play carrom and 6 play both. How many play neither of the two?
  34. 34.In a group of 33 grown-ups, 8 drink tea, 19 drink coffee and 4 drink both. How many drink neither of the two?
  35. 35.In a group of 17 children, 13 play cricket, 8 play football and 5 play both. How many play only cricket?
  36. 36.In a group of 51 children, 25 play cricket, 22 play football and 8 play both. How many play at least one of the two?
  37. 37.In a group of 37 grown-ups, 15 drink tea, 16 drink coffee and 4 drink both. How many drink only tea?
  38. 38.In a group of 27 children, 17 like mangoes, 18 like bananas and 9 like both. How many like exactly one of the two?
  39. 39.In a group of 43 children, 16 play cricket, 26 play football and 6 play both. How many play only cricket?
  40. 40.In a group of 35 children, 15 play cricket, 25 play football and 8 play both. How many play only cricket?

Answer key

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

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