← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 119 · 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 48 children, 24 play cricket, 24 play football and 5 play both. How many play only football?
  2. 2.In a group of 36 grown-ups, 23 drink tea, 7 drink coffee and 3 drink both. How many drink only tea?
  3. 3.In a group of 37 children, 17 sing Hindi songs, 11 sing English songs and 3 sing both. How many sing neither of the two?
  4. 4.In a group of 40 children, 19 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  5. 5.In a group of 23 children, 11 like mangoes, 7 like bananas and 4 like both. How many like only mangoes?
  6. 6.In a group of 33 grown-ups, 11 drink tea, 19 drink coffee and 5 drink both. How many drink exactly one of the two?
  7. 7.In a group of 34 children, 13 play chess, 20 play carrom and 4 play both. How many play only chess?
  8. 8.In a group of 48 grown-ups, 24 drink tea, 23 drink coffee and 11 drink both. How many drink at least one of the two?
  9. 9.In a group of 21 children, 15 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  10. 10.In a group of 40 grown-ups, 24 drink tea, 11 drink coffee and 8 drink both. How many drink neither of the two?
  11. 11.In a group of 44 children, 26 sing Hindi songs, 29 sing English songs and 12 sing both. How many sing exactly one of the two?
  12. 12.In a group of 40 children, 16 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing exactly one of the two?
  13. 13.In a group of 42 children, 27 like mangoes, 26 like bananas and 12 like both. How many like only mangoes?
  14. 14.In a group of 43 children, 29 play cricket, 16 play football and 10 play both. How many play only cricket?
  15. 15.In a group of 26 grown-ups, 7 drink tea, 10 drink coffee and 3 drink both. How many drink only coffee?
  16. 16.In a group of 43 children, 28 play chess, 21 play carrom and 9 play both. How many play neither of the two?
  17. 17.In a group of 28 children, 8 play chess, 10 play carrom and 3 play both. How many play only carrom?
  18. 18.In a group of 44 children, 19 like mangoes, 17 like bananas and 6 like both. How many like exactly one of the two?
  19. 19.In a group of 33 children, 21 play chess, 15 play carrom and 5 play both. How many play only chess?
  20. 20.In a group of 45 children, 21 sing Hindi songs, 12 sing English songs and 2 sing both. How many sing at least one of the two?
  21. 21.In a group of 38 children, 25 like mangoes, 15 like bananas and 9 like both. How many like exactly one of the two?
  22. 22.In a group of 37 children, 15 play cricket, 28 play football and 8 play both. How many play at least one of the two?
  23. 23.In a group of 30 children, 18 play cricket, 16 play football and 8 play both. How many play only cricket?
  24. 24.In a group of 48 children, 20 play chess, 20 play carrom and 4 play both. How many play only carrom?
  25. 25.In a group of 45 children, 22 play chess, 13 play carrom and 2 play both. How many play only carrom?
  26. 26.In a group of 36 children, 8 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 34 children, 12 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  28. 28.In a group of 30 children, 15 like mangoes, 19 like bananas and 8 like both. How many like at least one of the two?
  29. 29.In a group of 51 children, 23 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  30. 30.In a group of 38 children, 18 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing only English songs?
  31. 31.In a group of 44 children, 15 play chess, 23 play carrom and 9 play both. How many play only chess?
  32. 32.In a group of 32 children, 24 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing neither of the two?
  33. 33.In a group of 34 children, 17 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 44 children, 23 play cricket, 26 play football and 11 play both. How many play at least one of the two?
  35. 35.In a group of 41 children, 25 play cricket, 17 play football and 7 play both. How many play only football?
  36. 36.In a group of 47 children, 21 like mangoes, 22 like bananas and 5 like both. How many like exactly one of the two?
  37. 37.In a group of 34 grown-ups, 20 drink tea, 11 drink coffee and 2 drink both. How many drink neither of the two?
  38. 38.In a group of 24 children, 11 sing Hindi songs, 13 sing English songs and 4 sing both. How many sing neither of the two?
  39. 39.In a group of 40 children, 15 like mangoes, 24 like bananas and 12 like both. How many like only bananas?
  40. 40.In a group of 38 children, 14 play cricket, 13 play football and 3 play both. How many play only cricket?

Answer key

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

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