← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 328 · 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 grown-ups, 13 drink tea, 14 drink coffee and 6 drink both. How many drink only coffee?
  2. 2.In a group of 25 children, 19 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  3. 3.In a group of 37 children, 15 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 25 children, 9 play cricket, 18 play football and 3 play both. How many play neither of the two?
  5. 5.In a group of 38 children, 18 like mangoes, 18 like bananas and 10 like both. How many like only bananas?
  6. 6.In a group of 46 children, 24 like mangoes, 14 like bananas and 4 like both. How many like exactly one of the two?
  7. 7.In a group of 25 children, 13 play chess, 11 play carrom and 6 play both. How many play exactly one of the two?
  8. 8.In a group of 35 grown-ups, 20 drink tea, 18 drink coffee and 7 drink both. How many drink at least one of the two?
  9. 9.In a group of 36 children, 17 play cricket, 18 play football and 2 play both. How many play only cricket?
  10. 10.In a group of 23 grown-ups, 9 drink tea, 9 drink coffee and 3 drink both. How many drink only coffee?
  11. 11.In a group of 44 children, 28 enjoy drawing, 23 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  12. 12.In a group of 39 children, 16 play chess, 17 play carrom and 4 play both. How many play at least one of the two?
  13. 13.In a group of 43 grown-ups, 15 drink tea, 29 drink coffee and 12 drink both. How many drink at least one of the two?
  14. 14.In a group of 24 children, 15 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  15. 15.In a group of 44 children, 23 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing only English songs?
  16. 16.In a group of 51 children, 31 play chess, 21 play carrom and 12 play both. How many play only carrom?
  17. 17.In a group of 48 children, 18 play chess, 23 play carrom and 7 play both. How many play only carrom?
  18. 18.In a group of 34 children, 12 sing Hindi songs, 19 sing English songs and 8 sing both. How many sing only English songs?
  19. 19.In a group of 31 children, 16 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing only English songs?
  20. 20.In a group of 25 grown-ups, 10 drink tea, 12 drink coffee and 6 drink both. How many drink neither of the two?
  21. 21.In a group of 33 children, 17 play cricket, 16 play football and 3 play both. How many play neither of the two?
  22. 22.In a group of 33 children, 23 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing exactly one of the two?
  23. 23.In a group of 44 children, 30 sing Hindi songs, 23 sing English songs and 11 sing both. How many sing at least one of the two?
  24. 24.In a group of 29 children, 13 play cricket, 20 play football and 8 play both. How many play only cricket?
  25. 25.In a group of 26 children, 15 like mangoes, 14 like bananas and 7 like both. How many like only mangoes?
  26. 26.In a group of 28 children, 19 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 30 children, 15 play cricket, 13 play football and 4 play both. How many play only football?
  28. 28.In a group of 33 children, 16 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 27 children, 12 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 34 children, 20 like mangoes, 16 like bananas and 12 like both. How many like at least one of the two?
  31. 31.In a group of 55 children, 25 play chess, 32 play carrom and 12 play both. How many play only chess?
  32. 32.In a group of 49 children, 24 play cricket, 27 play football and 7 play both. How many play at least one of the two?
  33. 33.In a group of 45 children, 17 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 29 children, 16 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing at least one of the two?
  35. 35.In a group of 37 grown-ups, 15 drink tea, 22 drink coffee and 7 drink both. How many drink only tea?
  36. 36.In a group of 38 children, 16 play chess, 20 play carrom and 3 play both. How many play only chess?
  37. 37.In a group of 28 children, 19 like mangoes, 12 like bananas and 5 like both. How many like neither of the two?
  38. 38.In a group of 30 children, 21 play cricket, 14 play football and 6 play both. How many play only football?
  39. 39.In a group of 25 children, 13 sing Hindi songs, 19 sing English songs and 8 sing both. How many sing neither of the two?
  40. 40.In a group of 28 grown-ups, 13 drink tea, 23 drink coffee and 9 drink both. How many drink only coffee?

Answer key

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

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