← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 641 · 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 40 children, 16 play cricket, 28 play football and 11 play both. How many play at least one of the two?
  2. 2.In a group of 40 children, 21 sing Hindi songs, 17 sing English songs and 2 sing both. How many sing at least one of the two?
  3. 3.In a group of 45 children, 20 play cricket, 20 play football and 6 play both. How many play only cricket?
  4. 4.In a group of 29 children, 21 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing only English songs?
  5. 5.In a group of 45 children, 25 play cricket, 12 play football and 6 play both. How many play at least one of the two?
  6. 6.In a group of 18 children, 11 like mangoes, 11 like bananas and 7 like both. How many like only mangoes?
  7. 7.In a group of 42 children, 19 sing Hindi songs, 18 sing English songs and 2 sing both. How many sing neither of the two?
  8. 8.In a group of 24 children, 8 like mangoes, 13 like bananas and 3 like both. How many like exactly one of the two?
  9. 9.In a group of 54 children, 30 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing at least one of the two?
  10. 10.In a group of 46 children, 21 play chess, 31 play carrom and 11 play both. How many play neither of the two?
  11. 11.In a group of 37 grown-ups, 19 drink tea, 14 drink coffee and 9 drink both. How many drink at least one of the two?
  12. 12.In a group of 45 children, 24 play chess, 22 play carrom and 11 play both. How many play exactly one of the two?
  13. 13.In a group of 24 children, 15 enjoy drawing, 17 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 41 children, 20 play cricket, 23 play football and 6 play both. How many play exactly one of the two?
  15. 15.In a group of 39 grown-ups, 28 drink tea, 16 drink coffee and 8 drink both. How many drink at least one of the two?
  16. 16.In a group of 36 children, 10 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 12 children, 7 play chess, 7 play carrom and 3 play both. How many play only carrom?
  18. 18.In a group of 47 children, 20 play chess, 21 play carrom and 7 play both. How many play at least one of the two?
  19. 19.In a group of 45 children, 28 play cricket, 11 play football and 8 play both. How many play at least one of the two?
  20. 20.In a group of 30 children, 21 like mangoes, 7 like bananas and 2 like both. How many like only bananas?
  21. 21.In a group of 36 children, 24 play cricket, 21 play football and 11 play both. How many play only football?
  22. 22.In a group of 46 children, 32 play cricket, 15 play football and 12 play both. How many play only cricket?
  23. 23.In a group of 17 children, 13 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing at least one of the two?
  24. 24.In a group of 29 children, 15 like mangoes, 20 like bananas and 7 like both. How many like exactly one of the two?
  25. 25.In a group of 38 children, 10 like mangoes, 20 like bananas and 6 like both. How many like at least one of the two?
  26. 26.In a group of 47 children, 27 like mangoes, 19 like bananas and 10 like both. How many like neither of the two?
  27. 27.In a group of 41 children, 16 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing only English songs?
  28. 28.In a group of 34 children, 12 play cricket, 16 play football and 5 play both. How many play neither of the two?
  29. 29.In a group of 39 children, 12 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing at least one of the two?
  30. 30.In a group of 36 children, 12 sing Hindi songs, 15 sing English songs and 5 sing both. How many sing neither of the two?
  31. 31.In a group of 32 children, 5 play cricket, 16 play football and 2 play both. How many play only cricket?
  32. 32.In a group of 30 grown-ups, 10 drink tea, 23 drink coffee and 4 drink both. How many drink at least one of the two?
  33. 33.In a group of 24 children, 16 play chess, 10 play carrom and 6 play both. How many play exactly one of the two?
  34. 34.In a group of 35 children, 14 play chess, 10 play carrom and 4 play both. How many play only chess?
  35. 35.In a group of 28 children, 12 play chess, 9 play carrom and 5 play both. How many play only chess?
  36. 36.In a group of 47 children, 21 like mangoes, 16 like bananas and 4 like both. How many like only mangoes?
  37. 37.In a group of 27 children, 6 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 44 children, 12 play chess, 26 play carrom and 8 play both. How many play exactly one of the two?
  39. 39.In a group of 31 children, 18 play cricket, 8 play football and 4 play both. How many play only cricket?
  40. 40.In a group of 27 children, 15 enjoy drawing, 20 enjoy dancing and 9 enjoy both. How many enjoy only dancing?

Answer key

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

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