← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 695 · 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 29 children, 14 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  2. 2.In a group of 17 children, 7 play cricket, 9 play football and 2 play both. How many play neither of the two?
  3. 3.In a group of 32 children, 18 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing neither of the two?
  4. 4.In a group of 20 children, 8 play cricket, 12 play football and 3 play both. How many play only football?
  5. 5.In a group of 55 grown-ups, 26 drink tea, 23 drink coffee and 6 drink both. How many drink only coffee?
  6. 6.In a group of 12 children, 7 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 26 children, 17 like mangoes, 16 like bananas and 11 like both. How many like at least one of the two?
  8. 8.In a group of 37 children, 24 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 38 children, 12 like mangoes, 24 like bananas and 6 like both. How many like only bananas?
  10. 10.In a group of 44 children, 26 play cricket, 23 play football and 8 play both. How many play only cricket?
  11. 11.In a group of 35 grown-ups, 21 drink tea, 17 drink coffee and 8 drink both. How many drink only coffee?
  12. 12.In a group of 42 children, 16 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 39 children, 24 play cricket, 14 play football and 8 play both. How many play at least one of the two?
  14. 14.In a group of 25 grown-ups, 16 drink tea, 16 drink coffee and 12 drink both. How many drink at least one of the two?
  15. 15.In a group of 21 children, 10 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing only English songs?
  16. 16.In a group of 37 children, 15 like mangoes, 30 like bananas and 10 like both. How many like at least one of the two?
  17. 17.In a group of 51 children, 19 play cricket, 22 play football and 2 play both. How many play neither of the two?
  18. 18.In a group of 36 children, 26 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing at least one of the two?
  19. 19.In a group of 18 children, 9 play cricket, 12 play football and 6 play both. How many play exactly one of the two?
  20. 20.In a group of 38 children, 26 sing Hindi songs, 16 sing English songs and 7 sing both. How many sing neither of the two?
  21. 21.In a group of 38 children, 29 enjoy drawing, 18 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 39 children, 15 play chess, 30 play carrom and 10 play both. How many play only carrom?
  23. 23.In a group of 48 children, 17 sing Hindi songs, 25 sing English songs and 6 sing both. How many sing neither of the two?
  24. 24.In a group of 40 children, 17 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing neither of the two?
  25. 25.In a group of 37 children, 20 like mangoes, 27 like bananas and 12 like both. How many like only mangoes?
  26. 26.In a group of 22 children, 8 like mangoes, 11 like bananas and 3 like both. How many like exactly one of the two?
  27. 27.In a group of 24 children, 9 like mangoes, 13 like bananas and 2 like both. How many like at least one of the two?
  28. 28.In a group of 24 children, 11 play chess, 9 play carrom and 5 play both. How many play only carrom?
  29. 29.In a group of 37 children, 19 play chess, 9 play carrom and 5 play both. How many play only chess?
  30. 30.In a group of 30 children, 11 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 16 children, 9 like mangoes, 8 like bananas and 4 like both. How many like neither of the two?
  32. 32.In a group of 39 children, 7 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 55 children, 27 play cricket, 30 play football and 10 play both. How many play at least one of the two?
  34. 34.In a group of 23 children, 10 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  35. 35.In a group of 33 children, 14 play chess, 15 play carrom and 4 play both. How many play exactly one of the two?
  36. 36.In a group of 32 children, 13 play chess, 20 play carrom and 10 play both. How many play neither of the two?
  37. 37.In a group of 39 children, 25 like mangoes, 18 like bananas and 9 like both. How many like neither of the two?
  38. 38.In a group of 44 children, 23 like mangoes, 17 like bananas and 4 like both. How many like neither of the two?
  39. 39.In a group of 34 children, 8 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 35 children, 7 like mangoes, 19 like bananas and 3 like both. How many like only bananas?

Answer key

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

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