← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 301 · 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 32 children, 12 play chess, 9 play carrom and 2 play both. How many play only chess?
  2. 2.In a group of 49 children, 27 play cricket, 18 play football and 10 play both. How many play only cricket?
  3. 3.In a group of 21 children, 12 enjoy drawing, 13 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 36 children, 19 play cricket, 25 play football and 10 play both. How many play only cricket?
  5. 5.In a group of 43 children, 27 enjoy drawing, 16 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 43 children, 21 play cricket, 21 play football and 3 play both. How many play only cricket?
  7. 7.In a group of 31 children, 11 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  8. 8.In a group of 34 children, 14 play cricket, 27 play football and 10 play both. How many play only football?
  9. 9.In a group of 31 children, 6 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 30 children, 17 play cricket, 13 play football and 10 play both. How many play at least one of the two?
  11. 11.In a group of 41 children, 28 play cricket, 20 play football and 10 play both. How many play only cricket?
  12. 12.In a group of 45 children, 24 play chess, 21 play carrom and 6 play both. How many play at least one of the two?
  13. 13.In a group of 33 grown-ups, 10 drink tea, 21 drink coffee and 4 drink both. How many drink only coffee?
  14. 14.In a group of 27 children, 16 enjoy drawing, 17 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 52 children, 21 sing Hindi songs, 23 sing English songs and 5 sing both. How many sing exactly one of the two?
  16. 16.In a group of 27 children, 9 play cricket, 6 play football and 2 play both. How many play exactly one of the two?
  17. 17.In a group of 37 children, 14 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 35 children, 18 enjoy drawing, 22 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 33 children, 20 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 39 children, 12 play cricket, 22 play football and 3 play both. How many play neither of the two?
  21. 21.In a group of 42 children, 12 play cricket, 28 play football and 8 play both. How many play only cricket?
  22. 22.In a group of 35 children, 21 play cricket, 20 play football and 10 play both. How many play only cricket?
  23. 23.In a group of 27 children, 7 play cricket, 22 play football and 3 play both. How many play neither of the two?
  24. 24.In a group of 48 children, 21 like mangoes, 22 like bananas and 10 like both. How many like only mangoes?
  25. 25.In a group of 32 children, 14 play chess, 19 play carrom and 7 play both. How many play exactly one of the two?
  26. 26.In a group of 44 children, 18 play cricket, 23 play football and 10 play both. How many play at least one of the two?
  27. 27.In a group of 43 children, 25 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 57 children, 26 enjoy drawing, 25 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 29 children, 15 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing neither of the two?
  30. 30.In a group of 30 children, 10 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 18 children, 7 like mangoes, 6 like bananas and 2 like both. How many like only bananas?
  32. 32.In a group of 21 children, 12 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 34 children, 15 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  34. 34.In a group of 33 children, 24 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  35. 35.In a group of 33 children, 8 like mangoes, 16 like bananas and 4 like both. How many like exactly one of the two?
  36. 36.In a group of 30 children, 16 play chess, 12 play carrom and 6 play both. How many play at least one of the two?
  37. 37.In a group of 37 grown-ups, 9 drink tea, 26 drink coffee and 6 drink both. How many drink only coffee?
  38. 38.In a group of 30 children, 6 play chess, 15 play carrom and 2 play both. How many play exactly one of the two?
  39. 39.In a group of 32 children, 8 like mangoes, 23 like bananas and 3 like both. How many like only mangoes?
  40. 40.In a group of 38 children, 17 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?

Answer key

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

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