← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 202 · 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 46 children, 20 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing only Hindi songs?
  2. 2.In a group of 23 children, 9 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 17 children, 9 play cricket, 11 play football and 6 play both. How many play exactly one of the two?
  4. 4.In a group of 53 children, 30 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 51 grown-ups, 20 drink tea, 23 drink coffee and 4 drink both. How many drink neither of the two?
  6. 6.In a group of 39 grown-ups, 23 drink tea, 12 drink coffee and 5 drink both. How many drink only tea?
  7. 7.In a group of 48 grown-ups, 27 drink tea, 21 drink coffee and 9 drink both. How many drink neither of the two?
  8. 8.In a group of 43 children, 15 like mangoes, 24 like bananas and 9 like both. How many like only mangoes?
  9. 9.In a group of 35 grown-ups, 15 drink tea, 22 drink coffee and 6 drink both. How many drink at least one of the two?
  10. 10.In a group of 31 children, 18 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing at least one of the two?
  11. 11.In a group of 43 children, 23 play cricket, 23 play football and 5 play both. How many play only cricket?
  12. 12.In a group of 47 grown-ups, 17 drink tea, 20 drink coffee and 5 drink both. How many drink at least one of the two?
  13. 13.In a group of 51 children, 22 sing Hindi songs, 29 sing English songs and 9 sing both. How many sing exactly one of the two?
  14. 14.In a group of 43 children, 29 play chess, 16 play carrom and 9 play both. How many play exactly one of the two?
  15. 15.In a group of 45 children, 15 play cricket, 20 play football and 2 play both. How many play only cricket?
  16. 16.In a group of 31 grown-ups, 18 drink tea, 24 drink coffee and 12 drink both. How many drink neither of the two?
  17. 17.In a group of 22 children, 9 sing Hindi songs, 13 sing English songs and 5 sing both. How many sing neither of the two?
  18. 18.In a group of 40 children, 21 play cricket, 20 play football and 8 play both. How many play at least one of the two?
  19. 19.In a group of 24 children, 14 play cricket, 11 play football and 4 play both. How many play exactly one of the two?
  20. 20.In a group of 27 children, 23 play cricket, 13 play football and 10 play both. How many play only cricket?
  21. 21.In a group of 51 children, 28 play chess, 31 play carrom and 11 play both. How many play exactly one of the two?
  22. 22.In a group of 42 children, 20 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 27 children, 14 like mangoes, 13 like bananas and 8 like both. How many like exactly one of the two?
  24. 24.In a group of 40 children, 18 play chess, 24 play carrom and 9 play both. How many play neither of the two?
  25. 25.In a group of 33 grown-ups, 14 drink tea, 14 drink coffee and 7 drink both. How many drink exactly one of the two?
  26. 26.In a group of 45 children, 20 play cricket, 21 play football and 9 play both. How many play only football?
  27. 27.In a group of 39 children, 22 play cricket, 18 play football and 5 play both. How many play only football?
  28. 28.In a group of 27 children, 7 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  29. 29.In a group of 32 children, 25 sing Hindi songs, 12 sing English songs and 6 sing both. How many sing neither of the two?
  30. 30.In a group of 17 children, 10 like mangoes, 8 like bananas and 5 like both. How many like at least one of the two?
  31. 31.In a group of 53 grown-ups, 30 drink tea, 28 drink coffee and 10 drink both. How many drink at least one of the two?
  32. 32.In a group of 49 children, 21 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing neither of the two?
  33. 33.In a group of 42 children, 28 like mangoes, 14 like bananas and 10 like both. How many like only bananas?
  34. 34.In a group of 46 children, 24 play cricket, 18 play football and 8 play both. How many play only football?
  35. 35.In a group of 22 grown-ups, 13 drink tea, 13 drink coffee and 7 drink both. How many drink neither of the two?
  36. 36.In a group of 35 children, 9 sing Hindi songs, 20 sing English songs and 3 sing both. How many sing exactly one of the two?
  37. 37.In a group of 43 children, 24 play cricket, 18 play football and 10 play both. How many play only cricket?
  38. 38.In a group of 38 children, 28 play chess, 14 play carrom and 8 play both. How many play at least one of the two?
  39. 39.In a group of 44 children, 20 play cricket, 24 play football and 12 play both. How many play neither of the two?
  40. 40.In a group of 22 children, 13 like mangoes, 11 like bananas and 8 like both. How many like exactly one of the two?

Answer key

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

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