← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 588 · 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 47 children, 21 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing exactly one of the two?
  2. 2.In a group of 37 children, 21 play chess, 14 play carrom and 8 play both. How many play at least one of the two?
  3. 3.In a group of 41 children, 12 play cricket, 25 play football and 7 play both. How many play only football?
  4. 4.In a group of 30 children, 19 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing only English songs?
  5. 5.In a group of 31 children, 11 sing Hindi songs, 14 sing English songs and 3 sing both. How many sing only Hindi songs?
  6. 6.In a group of 28 children, 19 like mangoes, 16 like bananas and 10 like both. How many like neither of the two?
  7. 7.In a group of 30 children, 17 enjoy drawing, 12 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 21 grown-ups, 11 drink tea, 12 drink coffee and 3 drink both. How many drink only coffee?
  9. 9.In a group of 48 children, 16 like mangoes, 30 like bananas and 10 like both. How many like exactly one of the two?
  10. 10.In a group of 41 children, 18 play cricket, 20 play football and 3 play both. How many play exactly one of the two?
  11. 11.In a group of 35 children, 16 like mangoes, 12 like bananas and 7 like both. How many like neither of the two?
  12. 12.In a group of 40 children, 18 play cricket, 25 play football and 10 play both. How many play exactly one of the two?
  13. 13.In a group of 50 children, 26 sing Hindi songs, 27 sing English songs and 11 sing both. How many sing at least one of the two?
  14. 14.In a group of 37 children, 21 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  15. 15.In a group of 47 children, 18 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 51 grown-ups, 25 drink tea, 30 drink coffee and 11 drink both. How many drink at least one of the two?
  17. 17.In a group of 45 grown-ups, 24 drink tea, 19 drink coffee and 11 drink both. How many drink only coffee?
  18. 18.In a group of 50 children, 30 sing Hindi songs, 26 sing English songs and 10 sing both. How many sing at least one of the two?
  19. 19.In a group of 51 children, 19 like mangoes, 32 like bananas and 12 like both. How many like exactly one of the two?
  20. 20.In a group of 14 children, 7 play chess, 6 play carrom and 2 play both. How many play at least one of the two?
  21. 21.In a group of 37 children, 18 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 53 children, 31 play chess, 27 play carrom and 12 play both. How many play only chess?
  23. 23.In a group of 28 children, 14 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  24. 24.In a group of 32 children, 21 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  25. 25.In a group of 47 children, 22 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  26. 26.In a group of 42 children, 28 like mangoes, 25 like bananas and 12 like both. How many like only bananas?
  27. 27.In a group of 48 grown-ups, 17 drink tea, 21 drink coffee and 4 drink both. How many drink at least one of the two?
  28. 28.In a group of 43 children, 27 play cricket, 24 play football and 9 play both. How many play exactly one of the two?
  29. 29.In a group of 41 grown-ups, 27 drink tea, 19 drink coffee and 9 drink both. How many drink only coffee?
  30. 30.In a group of 28 children, 16 like mangoes, 14 like bananas and 9 like both. How many like only bananas?
  31. 31.In a group of 21 children, 11 play chess, 13 play carrom and 4 play both. How many play only carrom?
  32. 32.In a group of 32 children, 17 like mangoes, 12 like bananas and 3 like both. How many like at least one of the two?
  33. 33.In a group of 34 children, 23 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 35 children, 19 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing only English songs?
  35. 35.In a group of 31 children, 10 like mangoes, 26 like bananas and 6 like both. How many like only bananas?
  36. 36.In a group of 46 children, 22 sing Hindi songs, 20 sing English songs and 9 sing both. How many sing only English songs?
  37. 37.In a group of 43 children, 22 play chess, 27 play carrom and 8 play both. How many play only chess?
  38. 38.In a group of 24 children, 18 enjoy drawing, 16 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 51 children, 28 like mangoes, 24 like bananas and 11 like both. How many like exactly one of the two?
  40. 40.In a group of 30 children, 8 play cricket, 22 play football and 3 play both. How many play neither of the two?

Answer key

  1. 29
  2. 27
  3. 18
  4. 8
  5. 8
  6. 3
  7. 15
  8. 9
  9. 26
  10. 32
  11. 14
  12. 23
  13. 42
  14. 7
  15. 15
  16. 44
  17. 8
  18. 46
  19. 27
  20. 11
  21. 7
  22. 19
  23. 3
  24. 28
  25. 17
  26. 13
  27. 34
  28. 33
  29. 10
  30. 5
  31. 9
  32. 26
  33. 28
  34. 3
  35. 20
  36. 11
  37. 14
  38. 6
  39. 30
  40. 3

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