← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 302 · 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 41 children, 25 play chess, 21 play carrom and 10 play both. How many play neither of the two?
  2. 2.In a group of 22 children, 15 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing only English songs?
  3. 3.In a group of 37 children, 12 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing at least one of the two?
  4. 4.In a group of 37 grown-ups, 17 drink tea, 22 drink coffee and 9 drink both. How many drink neither of the two?
  5. 5.In a group of 35 grown-ups, 13 drink tea, 15 drink coffee and 2 drink both. How many drink at least one of the two?
  6. 6.In a group of 48 grown-ups, 22 drink tea, 18 drink coffee and 2 drink both. How many drink only coffee?
  7. 7.In a group of 34 children, 17 play cricket, 25 play football and 10 play both. How many play only cricket?
  8. 8.In a group of 47 children, 19 like mangoes, 19 like bananas and 3 like both. How many like neither of the two?
  9. 9.In a group of 38 children, 26 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  10. 10.In a group of 39 children, 30 play chess, 15 play carrom and 11 play both. How many play exactly one of the two?
  11. 11.In a group of 36 children, 15 enjoy drawing, 20 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  12. 12.In a group of 27 children, 13 play cricket, 15 play football and 10 play both. How many play only cricket?
  13. 13.In a group of 51 children, 28 enjoy drawing, 23 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 33 children, 12 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 31 grown-ups, 18 drink tea, 5 drink coffee and 2 drink both. How many drink only tea?
  16. 16.In a group of 27 children, 17 play cricket, 6 play football and 2 play both. How many play only football?
  17. 17.In a group of 41 children, 22 play chess, 16 play carrom and 10 play both. How many play only chess?
  18. 18.In a group of 38 children, 16 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing only Hindi songs?
  19. 19.In a group of 44 children, 31 play chess, 22 play carrom and 11 play both. How many play exactly one of the two?
  20. 20.In a group of 27 children, 9 play cricket, 6 play football and 2 play both. How many play only football?
  21. 21.In a group of 26 children, 8 like mangoes, 8 like bananas and 4 like both. How many like only bananas?
  22. 22.In a group of 31 children, 22 play cricket, 9 play football and 3 play both. How many play at least one of the two?
  23. 23.In a group of 32 children, 11 like mangoes, 15 like bananas and 2 like both. How many like neither of the two?
  24. 24.In a group of 51 children, 25 play cricket, 25 play football and 5 play both. How many play neither of the two?
  25. 25.In a group of 44 children, 24 play cricket, 28 play football and 9 play both. How many play at least one of the two?
  26. 26.In a group of 27 children, 11 play chess, 15 play carrom and 7 play both. How many play at least one of the two?
  27. 27.In a group of 56 children, 28 enjoy drawing, 26 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 37 children, 9 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 45 children, 13 like mangoes, 22 like bananas and 4 like both. How many like only mangoes?
  30. 30.In a group of 36 children, 13 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing at least one of the two?
  31. 31.In a group of 41 children, 24 play cricket, 22 play football and 9 play both. How many play neither of the two?
  32. 32.In a group of 30 children, 12 play chess, 23 play carrom and 8 play both. How many play exactly one of the two?
  33. 33.In a group of 47 children, 26 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing only Hindi songs?
  34. 34.In a group of 35 children, 14 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  35. 35.In a group of 47 children, 13 play cricket, 28 play football and 9 play both. How many play only cricket?
  36. 36.In a group of 38 children, 14 play chess, 12 play carrom and 3 play both. How many play only carrom?
  37. 37.In a group of 32 children, 20 play chess, 18 play carrom and 11 play both. How many play at least one of the two?
  38. 38.In a group of 36 children, 24 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 43 children, 19 play chess, 22 play carrom and 2 play both. How many play neither of the two?
  40. 40.In a group of 25 children, 17 play cricket, 15 play football and 9 play both. How many play only cricket?

Answer key

  1. 5
  2. 4
  3. 23
  4. 7
  5. 26
  6. 16
  7. 7
  8. 12
  9. 25
  10. 23
  11. 17
  12. 3
  13. 41
  14. 6
  15. 16
  16. 4
  17. 12
  18. 9
  19. 31
  20. 4
  21. 4
  22. 28
  23. 8
  24. 6
  25. 43
  26. 19
  27. 16
  28. 23
  29. 9
  30. 31
  31. 4
  32. 19
  33. 14
  34. 22
  35. 4
  36. 9
  37. 27
  38. 6
  39. 4
  40. 8

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