← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 149 · 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 31 children, 6 like mangoes, 21 like bananas and 3 like both. How many like neither of the two?
  2. 2.In a group of 61 children, 29 play chess, 28 play carrom and 11 play both. How many play neither of the two?
  3. 3.In a group of 41 children, 22 play cricket, 16 play football and 9 play both. How many play only football?
  4. 4.In a group of 30 children, 16 like mangoes, 15 like bananas and 11 like both. How many like at least one of the two?
  5. 5.In a group of 40 children, 23 play cricket, 15 play football and 5 play both. How many play only cricket?
  6. 6.In a group of 30 children, 19 play cricket, 11 play football and 8 play both. How many play only football?
  7. 7.In a group of 58 children, 26 play cricket, 28 play football and 8 play both. How many play only football?
  8. 8.In a group of 41 children, 23 play cricket, 12 play football and 6 play both. How many play exactly one of the two?
  9. 9.In a group of 28 grown-ups, 14 drink tea, 9 drink coffee and 5 drink both. How many drink only tea?
  10. 10.In a group of 42 grown-ups, 23 drink tea, 13 drink coffee and 7 drink both. How many drink neither of the two?
  11. 11.In a group of 47 children, 23 enjoy drawing, 26 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 47 children, 24 like mangoes, 28 like bananas and 9 like both. How many like only mangoes?
  13. 13.In a group of 34 children, 11 play chess, 25 play carrom and 8 play both. How many play at least one of the two?
  14. 14.In a group of 36 children, 20 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing exactly one of the two?
  15. 15.In a group of 40 children, 16 like mangoes, 14 like bananas and 2 like both. How many like exactly one of the two?
  16. 16.In a group of 41 children, 20 sing Hindi songs, 30 sing English songs and 11 sing both. How many sing exactly one of the two?
  17. 17.In a group of 54 children, 24 play chess, 27 play carrom and 7 play both. How many play at least one of the two?
  18. 18.In a group of 39 children, 16 enjoy drawing, 24 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 37 children, 13 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing neither of the two?
  20. 20.In a group of 40 children, 24 play chess, 14 play carrom and 7 play both. How many play only carrom?
  21. 21.In a group of 45 children, 18 play cricket, 24 play football and 4 play both. How many play exactly one of the two?
  22. 22.In a group of 41 children, 27 play chess, 13 play carrom and 8 play both. How many play only carrom?
  23. 23.In a group of 43 children, 31 enjoy drawing, 16 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 31 children, 15 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 58 children, 32 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing neither of the two?
  26. 26.In a group of 36 children, 21 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing only Hindi songs?
  27. 27.In a group of 35 children, 19 like mangoes, 27 like bananas and 12 like both. How many like neither of the two?
  28. 28.In a group of 49 children, 22 play chess, 28 play carrom and 10 play both. How many play at least one of the two?
  29. 29.In a group of 50 children, 21 play chess, 24 play carrom and 8 play both. How many play at least one of the two?
  30. 30.In a group of 45 children, 21 like mangoes, 16 like bananas and 2 like both. How many like exactly one of the two?
  31. 31.In a group of 43 children, 19 play cricket, 16 play football and 2 play both. How many play at least one of the two?
  32. 32.In a group of 50 children, 31 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing exactly one of the two?
  33. 33.In a group of 38 children, 10 play chess, 26 play carrom and 7 play both. How many play exactly one of the two?
  34. 34.In a group of 25 children, 10 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 52 children, 21 play cricket, 22 play football and 6 play both. How many play exactly one of the two?
  36. 36.In a group of 42 children, 22 sing Hindi songs, 14 sing English songs and 5 sing both. How many sing neither of the two?
  37. 37.In a group of 52 children, 30 play cricket, 28 play football and 10 play both. How many play at least one of the two?
  38. 38.In a group of 18 children, 7 play chess, 7 play carrom and 3 play both. How many play neither of the two?
  39. 39.In a group of 30 children, 23 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing only Hindi songs?
  40. 40.In a group of 47 children, 23 play cricket, 15 play football and 6 play both. How many play only football?

Answer key

  1. 7
  2. 15
  3. 7
  4. 20
  5. 18
  6. 3
  7. 20
  8. 23
  9. 9
  10. 13
  11. 15
  12. 15
  13. 28
  14. 31
  15. 26
  16. 28
  17. 44
  18. 3
  19. 7
  20. 7
  21. 34
  22. 5
  23. 19
  24. 7
  25. 11
  26. 15
  27. 1
  28. 40
  29. 37
  30. 33
  31. 33
  32. 37
  33. 22
  34. 13
  35. 31
  36. 11
  37. 48
  38. 7
  39. 11
  40. 9

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