← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 451 · 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, 25 play chess, 20 play carrom and 8 play both. How many play exactly one of the two?
  2. 2.In a group of 30 children, 8 sing Hindi songs, 11 sing English songs and 3 sing both. How many sing only English songs?
  3. 3.In a group of 38 children, 19 play cricket, 16 play football and 10 play both. How many play only cricket?
  4. 4.In a group of 28 children, 17 sing Hindi songs, 20 sing English songs and 10 sing both. How many sing neither of the two?
  5. 5.In a group of 36 children, 17 play cricket, 16 play football and 4 play both. How many play only football?
  6. 6.In a group of 52 children, 17 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing only Hindi songs?
  7. 7.In a group of 42 children, 28 play cricket, 20 play football and 10 play both. How many play only football?
  8. 8.In a group of 43 grown-ups, 11 drink tea, 24 drink coffee and 4 drink both. How many drink at least one of the two?
  9. 9.In a group of 38 grown-ups, 21 drink tea, 13 drink coffee and 6 drink both. How many drink only tea?
  10. 10.In a group of 42 children, 8 enjoy drawing, 24 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 28 children, 13 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 36 children, 29 play chess, 14 play carrom and 10 play both. How many play only chess?
  13. 13.In a group of 48 children, 24 like mangoes, 24 like bananas and 11 like both. How many like neither of the two?
  14. 14.In a group of 39 children, 19 like mangoes, 18 like bananas and 11 like both. How many like exactly one of the two?
  15. 15.In a group of 20 children, 13 play chess, 13 play carrom and 9 play both. How many play only carrom?
  16. 16.In a group of 40 children, 19 sing Hindi songs, 19 sing English songs and 9 sing both. How many sing only Hindi songs?
  17. 17.In a group of 41 grown-ups, 28 drink tea, 18 drink coffee and 11 drink both. How many drink neither of the two?
  18. 18.In a group of 19 grown-ups, 11 drink tea, 10 drink coffee and 3 drink both. How many drink neither of the two?
  19. 19.In a group of 46 children, 16 like mangoes, 18 like bananas and 2 like both. How many like at least one of the two?
  20. 20.In a group of 32 children, 16 sing Hindi songs, 6 sing English songs and 2 sing both. How many sing only English songs?
  21. 21.In a group of 49 children, 29 play cricket, 25 play football and 10 play both. How many play only cricket?
  22. 22.In a group of 29 children, 21 play chess, 11 play carrom and 7 play both. How many play neither of the two?
  23. 23.In a group of 34 children, 13 like mangoes, 22 like bananas and 5 like both. How many like neither of the two?
  24. 24.In a group of 41 children, 18 play chess, 14 play carrom and 4 play both. How many play only chess?
  25. 25.In a group of 42 children, 24 play chess, 20 play carrom and 4 play both. How many play only chess?
  26. 26.In a group of 40 children, 15 play cricket, 26 play football and 10 play both. How many play neither of the two?
  27. 27.In a group of 56 children, 22 play chess, 31 play carrom and 12 play both. How many play only chess?
  28. 28.In a group of 22 children, 6 like mangoes, 10 like bananas and 3 like both. How many like neither of the two?
  29. 29.In a group of 44 grown-ups, 29 drink tea, 23 drink coffee and 9 drink both. How many drink at least one of the two?
  30. 30.In a group of 34 grown-ups, 21 drink tea, 14 drink coffee and 3 drink both. How many drink neither of the two?
  31. 31.In a group of 36 children, 19 sing Hindi songs, 19 sing English songs and 7 sing both. How many sing only English songs?
  32. 32.In a group of 24 grown-ups, 15 drink tea, 12 drink coffee and 7 drink both. How many drink only tea?
  33. 33.In a group of 40 children, 22 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 38 children, 14 like mangoes, 27 like bananas and 9 like both. How many like only bananas?
  35. 35.In a group of 43 children, 23 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  36. 36.In a group of 25 children, 13 sing Hindi songs, 17 sing English songs and 7 sing both. How many sing exactly one of the two?
  37. 37.In a group of 38 children, 22 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing neither of the two?
  38. 38.In a group of 30 grown-ups, 13 drink tea, 13 drink coffee and 6 drink both. How many drink neither of the two?
  39. 39.In a group of 37 children, 14 enjoy drawing, 22 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 39 children, 14 sing Hindi songs, 14 sing English songs and 3 sing both. How many sing at least one of the two?

Answer key

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

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