← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 256 · 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 37 children, 28 play chess, 16 play carrom and 12 play both. How many play neither of the two?
  2. 2.In a group of 33 children, 18 play cricket, 15 play football and 6 play both. How many play exactly one of the two?
  3. 3.In a group of 39 children, 17 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing neither of the two?
  4. 4.In a group of 48 children, 23 play chess, 19 play carrom and 9 play both. How many play only chess?
  5. 5.In a group of 34 children, 8 play cricket, 15 play football and 2 play both. How many play at least one of the two?
  6. 6.In a group of 24 children, 13 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing neither of the two?
  7. 7.In a group of 48 children, 28 like mangoes, 20 like bananas and 8 like both. How many like exactly one of the two?
  8. 8.In a group of 35 children, 21 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 37 children, 16 like mangoes, 20 like bananas and 11 like both. How many like exactly one of the two?
  10. 10.In a group of 33 children, 17 play chess, 20 play carrom and 10 play both. How many play only chess?
  11. 11.In a group of 38 grown-ups, 15 drink tea, 29 drink coffee and 12 drink both. How many drink only coffee?
  12. 12.In a group of 16 children, 10 like mangoes, 11 like bananas and 7 like both. How many like only bananas?
  13. 13.In a group of 46 children, 24 like mangoes, 17 like bananas and 5 like both. How many like exactly one of the two?
  14. 14.In a group of 43 children, 14 play cricket, 20 play football and 4 play both. How many play neither of the two?
  15. 15.In a group of 32 children, 9 like mangoes, 17 like bananas and 5 like both. How many like at least one of the two?
  16. 16.In a group of 39 children, 17 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 26 children, 17 play cricket, 11 play football and 8 play both. How many play neither of the two?
  18. 18.In a group of 33 children, 27 like mangoes, 16 like bananas and 12 like both. How many like exactly one of the two?
  19. 19.In a group of 14 children, 7 play cricket, 7 play football and 3 play both. How many play at least one of the two?
  20. 20.In a group of 35 grown-ups, 20 drink tea, 12 drink coffee and 7 drink both. How many drink neither of the two?
  21. 21.In a group of 12 grown-ups, 8 drink tea, 8 drink coffee and 5 drink both. How many drink exactly one of the two?
  22. 22.In a group of 49 children, 21 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 42 children, 17 play chess, 23 play carrom and 5 play both. How many play only carrom?
  24. 24.In a group of 44 children, 10 play chess, 26 play carrom and 7 play both. How many play exactly one of the two?
  25. 25.In a group of 15 grown-ups, 6 drink tea, 6 drink coffee and 3 drink both. How many drink exactly one of the two?
  26. 26.In a group of 33 children, 16 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 48 children, 23 enjoy drawing, 24 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 20 children, 10 play cricket, 9 play football and 2 play both. How many play at least one of the two?
  29. 29.In a group of 32 children, 13 like mangoes, 21 like bananas and 4 like both. How many like at least one of the two?
  30. 30.In a group of 48 children, 19 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 47 children, 26 play cricket, 22 play football and 6 play both. How many play only cricket?
  32. 32.In a group of 48 children, 22 play chess, 19 play carrom and 3 play both. How many play only chess?
  33. 33.In a group of 42 children, 16 like mangoes, 22 like bananas and 3 like both. How many like exactly one of the two?
  34. 34.In a group of 22 children, 9 play cricket, 7 play football and 4 play both. How many play only cricket?
  35. 35.In a group of 29 children, 17 like mangoes, 8 like bananas and 3 like both. How many like only mangoes?
  36. 36.In a group of 37 children, 14 play chess, 15 play carrom and 7 play both. How many play neither of the two?
  37. 37.In a group of 38 children, 20 enjoy drawing, 22 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  38. 38.In a group of 31 children, 23 play cricket, 10 play football and 7 play both. How many play only cricket?
  39. 39.In a group of 43 grown-ups, 14 drink tea, 28 drink coffee and 9 drink both. How many drink only tea?
  40. 40.In a group of 41 children, 12 sing Hindi songs, 24 sing English songs and 6 sing both. How many sing only Hindi songs?

Answer key

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

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