← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 375 · 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 39 children, 5 play cricket, 22 play football and 2 play both. How many play only cricket?
  2. 2.In a group of 32 children, 9 play chess, 20 play carrom and 5 play both. How many play at least one of the two?
  3. 3.In a group of 45 children, 28 play chess, 19 play carrom and 8 play both. How many play only carrom?
  4. 4.In a group of 29 children, 5 play chess, 14 play carrom and 2 play both. How many play exactly one of the two?
  5. 5.In a group of 29 children, 11 like mangoes, 22 like bananas and 5 like both. How many like neither of the two?
  6. 6.In a group of 35 grown-ups, 16 drink tea, 23 drink coffee and 12 drink both. How many drink only tea?
  7. 7.In a group of 32 children, 14 sing Hindi songs, 25 sing English songs and 11 sing both. How many sing exactly one of the two?
  8. 8.In a group of 40 grown-ups, 27 drink tea, 15 drink coffee and 11 drink both. How many drink only tea?
  9. 9.In a group of 53 children, 25 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 31 children, 10 like mangoes, 18 like bananas and 3 like both. How many like only bananas?
  11. 11.In a group of 30 children, 18 play cricket, 22 play football and 11 play both. How many play at least one of the two?
  12. 12.In a group of 45 grown-ups, 18 drink tea, 18 drink coffee and 3 drink both. How many drink neither of the two?
  13. 13.In a group of 29 children, 11 like mangoes, 11 like bananas and 4 like both. How many like only bananas?
  14. 14.In a group of 31 children, 16 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 31 children, 13 play chess, 7 play carrom and 3 play both. How many play exactly one of the two?
  16. 16.In a group of 39 children, 19 play cricket, 14 play football and 5 play both. How many play neither of the two?
  17. 17.In a group of 16 children, 7 play chess, 10 play carrom and 3 play both. How many play only carrom?
  18. 18.In a group of 35 children, 15 sing Hindi songs, 18 sing English songs and 6 sing both. How many sing at least one of the two?
  19. 19.In a group of 43 children, 19 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing at least one of the two?
  20. 20.In a group of 27 children, 18 like mangoes, 6 like bananas and 3 like both. How many like exactly one of the two?
  21. 21.In a group of 48 children, 21 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 43 children, 18 sing Hindi songs, 22 sing English songs and 2 sing both. How many sing at least one of the two?
  23. 23.In a group of 26 grown-ups, 13 drink tea, 11 drink coffee and 3 drink both. How many drink only tea?
  24. 24.In a group of 23 children, 18 like mangoes, 15 like bananas and 12 like both. How many like exactly one of the two?
  25. 25.In a group of 28 children, 8 play cricket, 16 play football and 2 play both. How many play only football?
  26. 26.In a group of 35 children, 13 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing only English songs?
  27. 27.In a group of 14 children, 9 play cricket, 10 play football and 6 play both. How many play neither of the two?
  28. 28.In a group of 33 children, 6 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 42 children, 20 play cricket, 24 play football and 6 play both. How many play neither of the two?
  30. 30.In a group of 46 children, 17 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 40 children, 26 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing at least one of the two?
  32. 32.In a group of 47 children, 17 play cricket, 24 play football and 9 play both. How many play only football?
  33. 33.In a group of 45 children, 22 like mangoes, 21 like bananas and 3 like both. How many like only bananas?
  34. 34.In a group of 38 children, 14 play cricket, 28 play football and 9 play both. How many play neither of the two?
  35. 35.In a group of 24 children, 13 sing Hindi songs, 16 sing English songs and 7 sing both. How many sing only English songs?
  36. 36.In a group of 20 children, 12 enjoy drawing, 13 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 48 grown-ups, 18 drink tea, 29 drink coffee and 12 drink both. How many drink at least one of the two?
  38. 38.In a group of 28 children, 13 like mangoes, 13 like bananas and 3 like both. How many like neither of the two?
  39. 39.In a group of 38 children, 12 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 43 children, 21 play chess, 11 play carrom and 4 play both. How many play exactly one of the two?

Answer key

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

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