← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 285 · 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 children, 12 like mangoes, 21 like bananas and 8 like both. How many like only bananas?
  2. 2.In a group of 34 children, 24 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 39 children, 15 play cricket, 17 play football and 3 play both. How many play exactly one of the two?
  4. 4.In a group of 30 children, 24 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing only English songs?
  5. 5.In a group of 52 grown-ups, 26 drink tea, 23 drink coffee and 8 drink both. How many drink at least one of the two?
  6. 6.In a group of 39 children, 24 play cricket, 23 play football and 12 play both. How many play neither of the two?
  7. 7.In a group of 47 children, 14 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing neither of the two?
  8. 8.In a group of 44 children, 21 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  9. 9.In a group of 53 children, 29 sing Hindi songs, 21 sing English songs and 9 sing both. How many sing exactly one of the two?
  10. 10.In a group of 35 children, 16 like mangoes, 19 like bananas and 12 like both. How many like at least one of the two?
  11. 11.In a group of 21 children, 8 like mangoes, 15 like bananas and 4 like both. How many like exactly one of the two?
  12. 12.In a group of 40 children, 22 play chess, 14 play carrom and 3 play both. How many play exactly one of the two?
  13. 13.In a group of 38 children, 23 play chess, 13 play carrom and 9 play both. How many play only chess?
  14. 14.In a group of 28 grown-ups, 21 drink tea, 10 drink coffee and 4 drink both. How many drink at least one of the two?
  15. 15.In a group of 40 children, 28 play cricket, 18 play football and 10 play both. How many play neither of the two?
  16. 16.In a group of 33 children, 12 like mangoes, 17 like bananas and 5 like both. How many like only mangoes?
  17. 17.In a group of 28 children, 15 play chess, 10 play carrom and 4 play both. How many play at least one of the two?
  18. 18.In a group of 59 children, 30 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  19. 19.In a group of 45 children, 27 like mangoes, 27 like bananas and 12 like both. How many like exactly one of the two?
  20. 20.In a group of 54 children, 27 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 45 grown-ups, 24 drink tea, 29 drink coffee and 12 drink both. How many drink only tea?
  22. 22.In a group of 48 children, 21 play cricket, 27 play football and 10 play both. How many play only cricket?
  23. 23.In a group of 35 children, 13 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing only English songs?
  24. 24.In a group of 48 children, 21 play cricket, 21 play football and 5 play both. How many play at least one of the two?
  25. 25.In a group of 42 grown-ups, 15 drink tea, 26 drink coffee and 11 drink both. How many drink at least one of the two?
  26. 26.In a group of 48 children, 31 play cricket, 19 play football and 11 play both. How many play exactly one of the two?
  27. 27.In a group of 31 grown-ups, 13 drink tea, 13 drink coffee and 3 drink both. How many drink exactly one of the two?
  28. 28.In a group of 36 children, 17 sing Hindi songs, 28 sing English songs and 10 sing both. How many sing only English songs?
  29. 29.In a group of 44 children, 17 play chess, 24 play carrom and 12 play both. How many play only chess?
  30. 30.In a group of 43 children, 30 enjoy drawing, 13 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 36 children, 16 play cricket, 23 play football and 11 play both. How many play only cricket?
  32. 32.In a group of 33 children, 17 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing at least one of the two?
  33. 33.In a group of 34 children, 14 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 24 children, 15 play cricket, 19 play football and 12 play both. How many play neither of the two?
  35. 35.In a group of 43 children, 21 play chess, 11 play carrom and 2 play both. How many play neither of the two?
  36. 36.In a group of 39 grown-ups, 19 drink tea, 10 drink coffee and 2 drink both. How many drink exactly one of the two?
  37. 37.In a group of 50 children, 26 play cricket, 23 play football and 11 play both. How many play only football?
  38. 38.In a group of 37 children, 19 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 26 children, 14 play cricket, 18 play football and 11 play both. How many play only cricket?
  40. 40.In a group of 20 children, 7 like mangoes, 7 like bananas and 2 like both. How many like only bananas?

Answer key

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

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