← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 189 · 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 17 children, 8 like mangoes, 11 like bananas and 3 like both. How many like only mangoes?
  2. 2.In a group of 32 children, 16 like mangoes, 21 like bananas and 8 like both. How many like exactly one of the two?
  3. 3.In a group of 51 children, 25 play cricket, 23 play football and 5 play both. How many play only football?
  4. 4.In a group of 31 children, 16 play cricket, 18 play football and 5 play both. How many play only cricket?
  5. 5.In a group of 38 children, 23 play chess, 16 play carrom and 4 play both. How many play at least one of the two?
  6. 6.In a group of 32 children, 16 play cricket, 7 play football and 4 play both. How many play only cricket?
  7. 7.In a group of 28 children, 9 like mangoes, 17 like bananas and 6 like both. How many like neither of the two?
  8. 8.In a group of 47 children, 32 sing Hindi songs, 19 sing English songs and 12 sing both. How many sing exactly one of the two?
  9. 9.In a group of 37 children, 21 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing neither of the two?
  10. 10.In a group of 35 children, 16 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 27 children, 21 play chess, 11 play carrom and 7 play both. How many play at least one of the two?
  12. 12.In a group of 45 children, 14 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 36 children, 22 enjoy drawing, 13 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 35 children, 20 play cricket, 9 play football and 3 play both. How many play only football?
  15. 15.In a group of 35 children, 6 play chess, 18 play carrom and 2 play both. How many play at least one of the two?
  16. 16.In a group of 29 children, 19 play cricket, 16 play football and 8 play both. How many play exactly one of the two?
  17. 17.In a group of 27 children, 19 play chess, 9 play carrom and 4 play both. How many play only carrom?
  18. 18.In a group of 36 children, 14 play chess, 21 play carrom and 9 play both. How many play at least one of the two?
  19. 19.In a group of 45 children, 16 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing only Hindi songs?
  20. 20.In a group of 38 children, 8 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing only English songs?
  21. 21.In a group of 46 children, 28 sing Hindi songs, 16 sing English songs and 9 sing both. How many sing only Hindi songs?
  22. 22.In a group of 34 children, 7 sing Hindi songs, 17 sing English songs and 4 sing both. How many sing only Hindi songs?
  23. 23.In a group of 30 grown-ups, 24 drink tea, 10 drink coffee and 6 drink both. How many drink at least one of the two?
  24. 24.In a group of 40 children, 15 like mangoes, 25 like bananas and 8 like both. How many like only mangoes?
  25. 25.In a group of 27 children, 13 like mangoes, 21 like bananas and 8 like both. How many like exactly one of the two?
  26. 26.In a group of 50 children, 27 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 24 children, 11 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 34 children, 17 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing only Hindi songs?
  29. 29.In a group of 37 grown-ups, 22 drink tea, 24 drink coffee and 12 drink both. How many drink only tea?
  30. 30.In a group of 25 children, 7 play cricket, 10 play football and 3 play both. How many play neither of the two?
  31. 31.In a group of 37 children, 22 enjoy drawing, 14 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 40 grown-ups, 23 drink tea, 16 drink coffee and 4 drink both. How many drink neither of the two?
  33. 33.In a group of 35 children, 20 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing neither of the two?
  34. 34.In a group of 27 children, 21 like mangoes, 8 like bananas and 4 like both. How many like exactly one of the two?
  35. 35.In a group of 28 children, 20 play cricket, 14 play football and 7 play both. How many play only football?
  36. 36.In a group of 47 children, 17 sing Hindi songs, 25 sing English songs and 9 sing both. How many sing only English songs?
  37. 37.In a group of 35 children, 20 play cricket, 12 play football and 7 play both. How many play only cricket?
  38. 38.In a group of 50 grown-ups, 16 drink tea, 31 drink coffee and 12 drink both. How many drink only coffee?
  39. 39.In a group of 40 children, 16 enjoy drawing, 26 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 36 children, 11 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?

Answer key

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

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