← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 184 · 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 45 grown-ups, 19 drink tea, 22 drink coffee and 3 drink both. How many drink only coffee?
  2. 2.In a group of 41 children, 20 play chess, 22 play carrom and 2 play both. How many play only carrom?
  3. 3.In a group of 39 children, 23 play cricket, 15 play football and 9 play both. How many play exactly one of the two?
  4. 4.In a group of 39 children, 18 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  5. 5.In a group of 24 children, 9 play cricket, 18 play football and 5 play both. How many play only football?
  6. 6.In a group of 38 children, 20 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 42 children, 23 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing only Hindi songs?
  8. 8.In a group of 32 children, 24 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing only Hindi songs?
  9. 9.In a group of 32 children, 13 play chess, 18 play carrom and 2 play both. How many play only carrom?
  10. 10.In a group of 52 children, 22 play chess, 32 play carrom and 12 play both. How many play at least one of the two?
  11. 11.In a group of 36 children, 17 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  12. 12.In a group of 46 children, 27 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 32 children, 13 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  14. 14.In a group of 37 children, 18 like mangoes, 21 like bananas and 12 like both. How many like only mangoes?
  15. 15.In a group of 48 children, 25 like mangoes, 26 like bananas and 6 like both. How many like at least one of the two?
  16. 16.In a group of 34 children, 16 like mangoes, 12 like bananas and 6 like both. How many like neither of the two?
  17. 17.In a group of 21 children, 7 like mangoes, 15 like bananas and 4 like both. How many like neither of the two?
  18. 18.In a group of 37 children, 20 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 43 children, 23 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 40 children, 19 play cricket, 14 play football and 5 play both. How many play neither of the two?
  21. 21.In a group of 47 children, 22 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 37 children, 16 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 28 children, 11 play cricket, 6 play football and 3 play both. How many play only cricket?
  24. 24.In a group of 31 grown-ups, 7 drink tea, 21 drink coffee and 3 drink both. How many drink exactly one of the two?
  25. 25.In a group of 34 children, 13 like mangoes, 25 like bananas and 5 like both. How many like at least one of the two?
  26. 26.In a group of 49 grown-ups, 26 drink tea, 20 drink coffee and 6 drink both. How many drink neither of the two?
  27. 27.In a group of 31 children, 24 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing only Hindi songs?
  28. 28.In a group of 37 children, 14 play cricket, 18 play football and 3 play both. How many play only football?
  29. 29.In a group of 37 grown-ups, 7 drink tea, 21 drink coffee and 4 drink both. How many drink only coffee?
  30. 30.In a group of 60 children, 25 play cricket, 32 play football and 12 play both. How many play neither of the two?
  31. 31.In a group of 30 children, 9 sing Hindi songs, 15 sing English songs and 3 sing both. How many sing only Hindi songs?
  32. 32.In a group of 24 children, 12 play cricket, 15 play football and 6 play both. How many play only cricket?
  33. 33.In a group of 37 children, 28 sing Hindi songs, 15 sing English songs and 11 sing both. How many sing only English songs?
  34. 34.In a group of 28 children, 16 like mangoes, 16 like bananas and 10 like both. How many like at least one of the two?
  35. 35.In a group of 29 children, 14 play chess, 13 play carrom and 5 play both. How many play neither of the two?
  36. 36.In a group of 42 children, 24 play chess, 12 play carrom and 7 play both. How many play at least one of the two?
  37. 37.In a group of 27 children, 13 play cricket, 15 play football and 3 play both. How many play at least one of the two?
  38. 38.In a group of 44 children, 19 enjoy drawing, 21 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  39. 39.In a group of 28 children, 19 like mangoes, 8 like bananas and 4 like both. How many like only mangoes?
  40. 40.In a group of 35 children, 15 sing Hindi songs, 31 sing English songs and 12 sing both. How many sing at least one of the two?

Answer key

  1. 19
  2. 20
  3. 20
  4. 20
  5. 13
  6. 30
  7. 20
  8. 14
  9. 16
  10. 42
  11. 22
  12. 8
  13. 18
  14. 6
  15. 45
  16. 12
  17. 3
  18. 20
  19. 37
  20. 12
  21. 14
  22. 6
  23. 8
  24. 22
  25. 33
  26. 9
  27. 20
  28. 15
  29. 17
  30. 15
  31. 6
  32. 6
  33. 4
  34. 22
  35. 7
  36. 29
  37. 25
  38. 18
  39. 15
  40. 34

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