← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 518 · 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 57 grown-ups, 24 drink tea, 24 drink coffee and 4 drink both. How many drink only tea?
  2. 2.In a group of 38 grown-ups, 15 drink tea, 12 drink coffee and 3 drink both. How many drink only tea?
  3. 3.In a group of 55 children, 22 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing at least one of the two?
  4. 4.In a group of 50 children, 24 like mangoes, 17 like bananas and 6 like both. How many like only mangoes?
  5. 5.In a group of 45 children, 24 play cricket, 15 play football and 5 play both. How many play only football?
  6. 6.In a group of 20 children, 6 play cricket, 5 play football and 2 play both. How many play only cricket?
  7. 7.In a group of 31 children, 8 like mangoes, 23 like bananas and 5 like both. How many like only mangoes?
  8. 8.In a group of 36 children, 23 play cricket, 11 play football and 5 play both. How many play neither of the two?
  9. 9.In a group of 46 children, 27 play chess, 17 play carrom and 12 play both. How many play only chess?
  10. 10.In a group of 28 children, 16 play cricket, 12 play football and 6 play both. How many play only cricket?
  11. 11.In a group of 36 children, 18 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing exactly one of the two?
  12. 12.In a group of 40 children, 18 play cricket, 23 play football and 12 play both. How many play only football?
  13. 13.In a group of 33 children, 23 play cricket, 16 play football and 12 play both. How many play only cricket?
  14. 14.In a group of 47 grown-ups, 13 drink tea, 27 drink coffee and 7 drink both. How many drink neither of the two?
  15. 15.In a group of 16 children, 10 play cricket, 11 play football and 6 play both. How many play exactly one of the two?
  16. 16.In a group of 38 children, 9 play cricket, 23 play football and 4 play both. How many play exactly one of the two?
  17. 17.In a group of 53 children, 29 play chess, 28 play carrom and 9 play both. How many play only carrom?
  18. 18.In a group of 31 children, 17 like mangoes, 14 like bananas and 7 like both. How many like neither of the two?
  19. 19.In a group of 19 children, 7 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 37 grown-ups, 21 drink tea, 7 drink coffee and 4 drink both. How many drink at least one of the two?
  21. 21.In a group of 27 children, 13 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 60 children, 26 enjoy drawing, 26 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  23. 23.In a group of 28 children, 11 play cricket, 23 play football and 8 play both. How many play only football?
  24. 24.In a group of 31 children, 12 like mangoes, 17 like bananas and 9 like both. How many like neither of the two?
  25. 25.In a group of 22 children, 10 sing Hindi songs, 14 sing English songs and 4 sing both. How many sing neither of the two?
  26. 26.In a group of 52 children, 22 play chess, 21 play carrom and 6 play both. How many play only chess?
  27. 27.In a group of 33 children, 8 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing neither of the two?
  28. 28.In a group of 37 children, 23 sing Hindi songs, 15 sing English songs and 3 sing both. How many sing neither of the two?
  29. 29.In a group of 39 children, 24 like mangoes, 18 like bananas and 7 like both. How many like neither of the two?
  30. 30.In a group of 36 children, 18 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 43 grown-ups, 18 drink tea, 22 drink coffee and 11 drink both. How many drink neither of the two?
  32. 32.In a group of 46 children, 25 like mangoes, 24 like bananas and 10 like both. How many like only mangoes?
  33. 33.In a group of 34 children, 21 play cricket, 8 play football and 2 play both. How many play exactly one of the two?
  34. 34.In a group of 32 grown-ups, 18 drink tea, 18 drink coffee and 10 drink both. How many drink neither of the two?
  35. 35.In a group of 39 children, 15 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  36. 36.In a group of 25 grown-ups, 18 drink tea, 17 drink coffee and 12 drink both. How many drink at least one of the two?
  37. 37.In a group of 41 children, 21 play chess, 19 play carrom and 4 play both. How many play only carrom?
  38. 38.In a group of 37 children, 18 play cricket, 18 play football and 10 play both. How many play only cricket?
  39. 39.In a group of 54 children, 27 play cricket, 30 play football and 10 play both. How many play neither of the two?
  40. 40.In a group of 26 children, 13 like mangoes, 22 like bananas and 10 like both. How many like neither of the two?

Answer key

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

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