← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 90 · 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 34 children, 28 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing exactly one of the two?
  2. 2.In a group of 39 children, 23 sing Hindi songs, 15 sing English songs and 4 sing both. How many sing only Hindi songs?
  3. 3.In a group of 42 children, 14 like mangoes, 22 like bananas and 2 like both. How many like only bananas?
  4. 4.In a group of 34 children, 27 play cricket, 15 play football and 9 play both. How many play neither of the two?
  5. 5.In a group of 51 children, 29 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing exactly one of the two?
  6. 6.In a group of 49 children, 26 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing neither of the two?
  7. 7.In a group of 25 children, 14 like mangoes, 17 like bananas and 7 like both. How many like at least one of the two?
  8. 8.In a group of 53 children, 26 like mangoes, 22 like bananas and 9 like both. How many like only bananas?
  9. 9.In a group of 40 children, 20 play cricket, 20 play football and 4 play both. How many play neither of the two?
  10. 10.In a group of 44 children, 20 sing Hindi songs, 18 sing English songs and 2 sing both. How many sing exactly one of the two?
  11. 11.In a group of 35 children, 16 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  12. 12.In a group of 36 children, 14 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing only English songs?
  13. 13.In a group of 33 grown-ups, 8 drink tea, 16 drink coffee and 3 drink both. How many drink only coffee?
  14. 14.In a group of 41 children, 19 like mangoes, 17 like bananas and 3 like both. How many like neither of the two?
  15. 15.In a group of 30 grown-ups, 24 drink tea, 16 drink coffee and 12 drink both. How many drink only coffee?
  16. 16.In a group of 23 children, 14 play cricket, 8 play football and 5 play both. How many play neither of the two?
  17. 17.In a group of 45 children, 29 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 39 grown-ups, 16 drink tea, 22 drink coffee and 10 drink both. How many drink only coffee?
  19. 19.In a group of 36 grown-ups, 9 drink tea, 19 drink coffee and 3 drink both. How many drink only tea?
  20. 20.In a group of 29 children, 15 sing Hindi songs, 13 sing English songs and 10 sing both. How many sing exactly one of the two?
  21. 21.In a group of 32 children, 16 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 48 children, 27 play cricket, 18 play football and 12 play both. How many play only football?
  23. 23.In a group of 39 children, 24 play cricket, 16 play football and 5 play both. How many play at least one of the two?
  24. 24.In a group of 32 children, 24 play cricket, 13 play football and 9 play both. How many play at least one of the two?
  25. 25.In a group of 44 children, 24 enjoy drawing, 28 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  26. 26.In a group of 25 children, 9 play cricket, 11 play football and 6 play both. How many play exactly one of the two?
  27. 27.In a group of 37 children, 14 sing Hindi songs, 20 sing English songs and 10 sing both. How many sing at least one of the two?
  28. 28.In a group of 33 children, 21 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing only Hindi songs?
  29. 29.In a group of 31 children, 19 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 39 children, 21 like mangoes, 9 like bananas and 2 like both. How many like at least one of the two?
  31. 31.In a group of 28 children, 13 enjoy drawing, 14 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  32. 32.In a group of 49 children, 22 play chess, 22 play carrom and 4 play both. How many play only chess?
  33. 33.In a group of 50 grown-ups, 27 drink tea, 20 drink coffee and 10 drink both. How many drink exactly one of the two?
  34. 34.In a group of 37 children, 27 sing Hindi songs, 20 sing English songs and 11 sing both. How many sing exactly one of the two?
  35. 35.In a group of 28 children, 9 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 38 children, 26 play chess, 22 play carrom and 12 play both. How many play neither of the two?
  37. 37.In a group of 41 children, 23 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  38. 38.In a group of 36 children, 30 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  39. 39.In a group of 38 children, 21 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing neither of the two?
  40. 40.In a group of 40 children, 20 play chess, 21 play carrom and 11 play both. How many play neither of the two?

Answer key

  1. 20
  2. 19
  3. 20
  4. 1
  5. 35
  6. 8
  7. 24
  8. 13
  9. 4
  10. 34
  11. 6
  12. 10
  13. 13
  14. 8
  15. 4
  16. 6
  17. 43
  18. 12
  19. 6
  20. 8
  21. 6
  22. 6
  23. 35
  24. 28
  25. 34
  26. 8
  27. 24
  28. 16
  29. 9
  30. 28
  31. 15
  32. 18
  33. 27
  34. 25
  35. 20
  36. 2
  37. 12
  38. 35
  39. 12
  40. 10

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