← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 262 · 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 33 grown-ups, 25 drink tea, 18 drink coffee and 11 drink both. How many drink only coffee?
  2. 2.In a group of 37 children, 16 like mangoes, 13 like bananas and 2 like both. How many like only mangoes?
  3. 3.In a group of 43 grown-ups, 11 drink tea, 23 drink coffee and 3 drink both. How many drink at least one of the two?
  4. 4.In a group of 49 children, 26 enjoy drawing, 28 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  5. 5.In a group of 23 children, 14 play cricket, 6 play football and 3 play both. How many play only cricket?
  6. 6.In a group of 38 children, 16 play cricket, 18 play football and 2 play both. How many play only cricket?
  7. 7.In a group of 31 children, 17 play chess, 14 play carrom and 7 play both. How many play only carrom?
  8. 8.In a group of 44 children, 21 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 51 children, 25 like mangoes, 23 like bananas and 8 like both. How many like at least one of the two?
  10. 10.In a group of 28 children, 15 like mangoes, 11 like bananas and 5 like both. How many like only mangoes?
  11. 11.In a group of 35 children, 16 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  12. 12.In a group of 26 grown-ups, 11 drink tea, 19 drink coffee and 8 drink both. How many drink neither of the two?
  13. 13.In a group of 34 children, 24 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing at least one of the two?
  14. 14.In a group of 25 children, 16 play chess, 8 play carrom and 2 play both. How many play only carrom?
  15. 15.In a group of 43 children, 16 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 47 grown-ups, 19 drink tea, 27 drink coffee and 7 drink both. How many drink only coffee?
  17. 17.In a group of 25 children, 18 play cricket, 11 play football and 8 play both. How many play neither of the two?
  18. 18.In a group of 32 children, 23 play cricket, 15 play football and 11 play both. How many play at least one of the two?
  19. 19.In a group of 29 children, 23 play cricket, 9 play football and 6 play both. How many play only football?
  20. 20.In a group of 32 children, 22 sing Hindi songs, 15 sing English songs and 6 sing both. How many sing only Hindi songs?
  21. 21.In a group of 40 children, 17 enjoy drawing, 26 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 34 grown-ups, 12 drink tea, 24 drink coffee and 8 drink both. How many drink exactly one of the two?
  23. 23.In a group of 20 children, 5 like mangoes, 16 like bananas and 2 like both. How many like at least one of the two?
  24. 24.In a group of 39 children, 17 play cricket, 28 play football and 10 play both. How many play at least one of the two?
  25. 25.In a group of 39 children, 10 play chess, 20 play carrom and 2 play both. How many play at least one of the two?
  26. 26.In a group of 51 children, 30 play chess, 25 play carrom and 11 play both. How many play only carrom?
  27. 27.In a group of 20 children, 11 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 33 children, 22 play chess, 16 play carrom and 10 play both. How many play neither of the two?
  29. 29.In a group of 29 children, 16 play chess, 17 play carrom and 10 play both. How many play only carrom?
  30. 30.In a group of 37 children, 16 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  31. 31.In a group of 23 children, 6 like mangoes, 6 like bananas and 3 like both. How many like only mangoes?
  32. 32.In a group of 49 children, 27 enjoy drawing, 27 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 26 children, 15 play cricket, 15 play football and 12 play both. How many play at least one of the two?
  34. 34.In a group of 31 children, 22 play cricket, 7 play football and 4 play both. How many play only football?
  35. 35.In a group of 32 children, 17 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing at least one of the two?
  36. 36.In a group of 32 children, 24 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  37. 37.In a group of 45 children, 26 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing exactly one of the two?
  38. 38.In a group of 16 children, 10 play cricket, 10 play football and 5 play both. How many play only cricket?
  39. 39.In a group of 38 children, 11 play cricket, 24 play football and 4 play both. How many play only cricket?
  40. 40.In a group of 39 children, 15 play cricket, 16 play football and 4 play both. How many play only cricket?

Answer key

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

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