← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 67 · 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 44 children, 22 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  2. 2.In a group of 15 children, 11 like mangoes, 9 like bananas and 6 like both. How many like neither of the two?
  3. 3.In a group of 41 children, 16 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  4. 4.In a group of 47 children, 23 enjoy drawing, 26 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 57 grown-ups, 25 drink tea, 31 drink coffee and 11 drink both. How many drink at least one of the two?
  6. 6.In a group of 40 children, 12 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 45 children, 23 enjoy drawing, 26 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 35 children, 14 play chess, 16 play carrom and 8 play both. How many play neither of the two?
  9. 9.In a group of 43 children, 23 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 32 children, 27 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing only English songs?
  11. 11.In a group of 37 children, 16 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  12. 12.In a group of 37 children, 19 play chess, 14 play carrom and 5 play both. How many play at least one of the two?
  13. 13.In a group of 42 children, 20 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing at least one of the two?
  14. 14.In a group of 26 children, 17 play cricket, 16 play football and 12 play both. How many play at least one of the two?
  15. 15.In a group of 29 grown-ups, 19 drink tea, 12 drink coffee and 3 drink both. How many drink only coffee?
  16. 16.In a group of 41 children, 30 play cricket, 19 play football and 11 play both. How many play only football?
  17. 17.In a group of 44 children, 22 like mangoes, 19 like bananas and 11 like both. How many like at least one of the two?
  18. 18.In a group of 39 children, 25 play chess, 17 play carrom and 6 play both. How many play only carrom?
  19. 19.In a group of 37 children, 20 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing at least one of the two?
  20. 20.In a group of 30 children, 13 sing Hindi songs, 24 sing English songs and 10 sing both. How many sing neither of the two?
  21. 21.In a group of 33 children, 23 sing Hindi songs, 19 sing English songs and 11 sing both. How many sing at least one of the two?
  22. 22.In a group of 37 children, 10 like mangoes, 21 like bananas and 3 like both. How many like only mangoes?
  23. 23.In a group of 29 children, 13 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  24. 24.In a group of 35 children, 25 sing Hindi songs, 15 sing English songs and 6 sing both. How many sing only English songs?
  25. 25.In a group of 23 children, 17 play chess, 15 play carrom and 12 play both. How many play neither of the two?
  26. 26.In a group of 32 children, 14 play cricket, 14 play football and 8 play both. How many play neither of the two?
  27. 27.In a group of 30 children, 13 play chess, 15 play carrom and 7 play both. How many play exactly one of the two?
  28. 28.In a group of 39 children, 15 play cricket, 30 play football and 10 play both. How many play only cricket?
  29. 29.In a group of 13 children, 6 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 52 children, 23 like mangoes, 28 like bananas and 8 like both. How many like at least one of the two?
  31. 31.In a group of 38 grown-ups, 21 drink tea, 16 drink coffee and 8 drink both. How many drink only coffee?
  32. 32.In a group of 39 children, 19 like mangoes, 11 like bananas and 5 like both. How many like exactly one of the two?
  33. 33.In a group of 43 children, 19 play cricket, 22 play football and 10 play both. How many play only cricket?
  34. 34.In a group of 51 children, 29 sing Hindi songs, 18 sing English songs and 11 sing both. How many sing only Hindi songs?
  35. 35.In a group of 33 children, 16 sing Hindi songs, 18 sing English songs and 10 sing both. How many sing only Hindi songs?
  36. 36.In a group of 41 children, 24 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 38 children, 23 sing Hindi songs, 22 sing English songs and 9 sing both. How many sing only English songs?
  38. 38.In a group of 39 children, 17 like mangoes, 13 like bananas and 5 like both. How many like only mangoes?
  39. 39.In a group of 38 children, 21 play cricket, 22 play football and 6 play both. How many play neither of the two?
  40. 40.In a group of 47 children, 24 like mangoes, 18 like bananas and 8 like both. How many like at least one of the two?

Answer key

  1. 18
  2. 1
  3. 30
  4. 19
  5. 45
  6. 4
  7. 16
  8. 13
  9. 18
  10. 4
  11. 8
  12. 28
  13. 37
  14. 21
  15. 9
  16. 8
  17. 30
  18. 11
  19. 33
  20. 3
  21. 31
  22. 7
  23. 17
  24. 9
  25. 3
  26. 12
  27. 14
  28. 5
  29. 4
  30. 43
  31. 8
  32. 20
  33. 9
  34. 18
  35. 6
  36. 21
  37. 13
  38. 12
  39. 1
  40. 34

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