← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 207 · 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 37 grown-ups, 20 drink tea, 19 drink coffee and 10 drink both. How many drink exactly one of the two?
  2. 2.In a group of 30 children, 10 play cricket, 13 play football and 7 play both. How many play exactly one of the two?
  3. 3.In a group of 26 grown-ups, 14 drink tea, 8 drink coffee and 4 drink both. How many drink exactly one of the two?
  4. 4.In a group of 34 grown-ups, 15 drink tea, 29 drink coffee and 12 drink both. How many drink only tea?
  5. 5.In a group of 30 children, 16 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 52 children, 26 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  7. 7.In a group of 33 children, 23 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 34 children, 24 play cricket, 19 play football and 11 play both. How many play exactly one of the two?
  9. 9.In a group of 33 children, 12 play cricket, 20 play football and 3 play both. How many play only cricket?
  10. 10.In a group of 41 children, 13 play cricket, 19 play football and 5 play both. How many play neither of the two?
  11. 11.In a group of 39 children, 28 like mangoes, 19 like bananas and 10 like both. How many like at least one of the two?
  12. 12.In a group of 39 children, 15 play chess, 31 play carrom and 12 play both. How many play at least one of the two?
  13. 13.In a group of 43 children, 22 like mangoes, 27 like bananas and 11 like both. How many like exactly one of the two?
  14. 14.In a group of 35 grown-ups, 15 drink tea, 18 drink coffee and 11 drink both. How many drink only tea?
  15. 15.In a group of 43 children, 17 sing Hindi songs, 23 sing English songs and 6 sing both. How many sing only English songs?
  16. 16.In a group of 35 children, 27 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing only English songs?
  17. 17.In a group of 39 children, 17 play chess, 23 play carrom and 3 play both. How many play neither of the two?
  18. 18.In a group of 36 grown-ups, 17 drink tea, 24 drink coffee and 7 drink both. How many drink at least one of the two?
  19. 19.In a group of 35 children, 17 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 35 children, 20 play cricket, 11 play football and 4 play both. How many play exactly one of the two?
  21. 21.In a group of 39 children, 24 like mangoes, 12 like bananas and 4 like both. How many like exactly one of the two?
  22. 22.In a group of 56 children, 30 play cricket, 29 play football and 12 play both. How many play at least one of the two?
  23. 23.In a group of 47 children, 21 like mangoes, 24 like bananas and 4 like both. How many like only mangoes?
  24. 24.In a group of 33 children, 17 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 35 children, 12 sing Hindi songs, 23 sing English songs and 4 sing both. How many sing exactly one of the two?
  26. 26.In a group of 27 children, 7 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 40 children, 24 play cricket, 14 play football and 7 play both. How many play exactly one of the two?
  28. 28.In a group of 40 children, 21 play chess, 13 play carrom and 3 play both. How many play only carrom?
  29. 29.In a group of 46 children, 29 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  30. 30.In a group of 39 children, 15 play cricket, 19 play football and 3 play both. How many play only football?
  31. 31.In a group of 30 children, 11 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 30 children, 10 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing only Hindi songs?
  33. 33.In a group of 27 children, 11 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 36 grown-ups, 17 drink tea, 18 drink coffee and 11 drink both. How many drink neither of the two?
  35. 35.In a group of 34 children, 16 play cricket, 15 play football and 4 play both. How many play only cricket?
  36. 36.In a group of 27 children, 18 like mangoes, 7 like bananas and 3 like both. How many like at least one of the two?
  37. 37.In a group of 37 children, 17 play chess, 24 play carrom and 9 play both. How many play only chess?
  38. 38.In a group of 51 children, 18 like mangoes, 20 like bananas and 2 like both. How many like only mangoes?
  39. 39.In a group of 58 grown-ups, 28 drink tea, 27 drink coffee and 8 drink both. How many drink only coffee?
  40. 40.In a group of 39 children, 17 like mangoes, 17 like bananas and 10 like both. How many like only mangoes?

Answer key

  1. 19
  2. 9
  3. 14
  4. 3
  5. 27
  6. 17
  7. 24
  8. 21
  9. 9
  10. 14
  11. 37
  12. 34
  13. 27
  14. 4
  15. 17
  16. 7
  17. 2
  18. 34
  19. 20
  20. 23
  21. 28
  22. 47
  23. 17
  24. 3
  25. 27
  26. 2
  27. 24
  28. 10
  29. 42
  30. 16
  31. 4
  32. 6
  33. 9
  34. 12
  35. 12
  36. 22
  37. 8
  38. 16
  39. 19
  40. 7

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