← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 456 · 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 38 children, 9 sing Hindi songs, 21 sing English songs and 5 sing both. How many sing neither of the two?
  2. 2.In a group of 48 children, 24 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 21 children, 12 like mangoes, 11 like bananas and 4 like both. How many like exactly one of the two?
  4. 4.In a group of 54 children, 25 sing Hindi songs, 26 sing English songs and 11 sing both. How many sing neither of the two?
  5. 5.In a group of 32 grown-ups, 22 drink tea, 9 drink coffee and 2 drink both. How many drink neither of the two?
  6. 6.In a group of 51 children, 22 sing Hindi songs, 26 sing English songs and 12 sing both. How many sing neither of the two?
  7. 7.In a group of 39 children, 15 sing Hindi songs, 23 sing English songs and 12 sing both. How many sing neither of the two?
  8. 8.In a group of 36 children, 12 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 39 children, 19 play cricket, 23 play football and 4 play both. How many play neither of the two?
  10. 10.In a group of 32 children, 13 play cricket, 9 play football and 2 play both. How many play only football?
  11. 11.In a group of 36 children, 17 play chess, 15 play carrom and 4 play both. How many play only chess?
  12. 12.In a group of 39 children, 16 play cricket, 29 play football and 10 play both. How many play only cricket?
  13. 13.In a group of 28 children, 19 play cricket, 14 play football and 7 play both. How many play at least one of the two?
  14. 14.In a group of 47 children, 19 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 37 children, 21 sing Hindi songs, 16 sing English songs and 9 sing both. How many sing only Hindi songs?
  16. 16.In a group of 49 children, 24 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  17. 17.In a group of 43 children, 25 like mangoes, 25 like bananas and 12 like both. How many like only bananas?
  18. 18.In a group of 47 children, 24 play chess, 28 play carrom and 10 play both. How many play at least one of the two?
  19. 19.In a group of 44 children, 25 like mangoes, 21 like bananas and 8 like both. How many like at least one of the two?
  20. 20.In a group of 28 children, 22 like mangoes, 7 like bananas and 2 like both. How many like neither of the two?
  21. 21.In a group of 42 grown-ups, 13 drink tea, 22 drink coffee and 6 drink both. How many drink only coffee?
  22. 22.In a group of 38 children, 17 play chess, 21 play carrom and 3 play both. How many play only chess?
  23. 23.In a group of 23 children, 6 sing Hindi songs, 6 sing English songs and 2 sing both. How many sing exactly one of the two?
  24. 24.In a group of 21 children, 13 sing Hindi songs, 10 sing English songs and 7 sing both. How many sing only English songs?
  25. 25.In a group of 35 children, 13 play cricket, 19 play football and 4 play both. How many play at least one of the two?
  26. 26.In a group of 41 grown-ups, 28 drink tea, 15 drink coffee and 11 drink both. How many drink only coffee?
  27. 27.In a group of 38 children, 19 like mangoes, 16 like bananas and 10 like both. How many like neither of the two?
  28. 28.In a group of 40 children, 16 play cricket, 13 play football and 2 play both. How many play exactly one of the two?
  29. 29.In a group of 35 children, 25 play cricket, 14 play football and 5 play both. How many play only cricket?
  30. 30.In a group of 43 children, 25 like mangoes, 14 like bananas and 7 like both. How many like exactly one of the two?
  31. 31.In a group of 29 grown-ups, 12 drink tea, 22 drink coffee and 6 drink both. How many drink only coffee?
  32. 32.In a group of 29 children, 16 like mangoes, 10 like bananas and 4 like both. How many like only bananas?
  33. 33.In a group of 45 children, 29 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing only Hindi songs?
  34. 34.In a group of 48 children, 26 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing only Hindi songs?
  35. 35.In a group of 34 children, 15 sing Hindi songs, 25 sing English songs and 11 sing both. How many sing only Hindi songs?
  36. 36.In a group of 38 children, 16 sing Hindi songs, 25 sing English songs and 7 sing both. How many sing only English songs?
  37. 37.In a group of 51 children, 21 play chess, 19 play carrom and 4 play both. How many play only carrom?
  38. 38.In a group of 35 children, 15 play chess, 23 play carrom and 11 play both. How many play at least one of the two?
  39. 39.In a group of 41 grown-ups, 22 drink tea, 24 drink coffee and 12 drink both. How many drink at least one of the two?
  40. 40.In a group of 43 children, 19 play cricket, 23 play football and 9 play both. How many play only cricket?

Answer key

  1. 13
  2. 16
  3. 15
  4. 14
  5. 3
  6. 15
  7. 13
  8. 19
  9. 1
  10. 7
  11. 13
  12. 6
  13. 26
  14. 20
  15. 12
  16. 43
  17. 13
  18. 42
  19. 38
  20. 1
  21. 16
  22. 14
  23. 8
  24. 3
  25. 28
  26. 4
  27. 13
  28. 25
  29. 20
  30. 25
  31. 16
  32. 6
  33. 17
  34. 14
  35. 4
  36. 18
  37. 15
  38. 27
  39. 34
  40. 10

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