← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 54 · 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 44 children, 19 play cricket, 18 play football and 5 play both. How many play exactly one of the two?
  2. 2.In a group of 42 children, 22 enjoy drawing, 28 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 21 children, 12 sing Hindi songs, 6 sing English songs and 2 sing both. How many sing only Hindi songs?
  4. 4.In a group of 33 children, 14 play cricket, 12 play football and 7 play both. How many play neither of the two?
  5. 5.In a group of 30 children, 19 play chess, 12 play carrom and 8 play both. How many play only chess?
  6. 6.In a group of 30 children, 22 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 41 children, 18 like mangoes, 30 like bananas and 11 like both. How many like only mangoes?
  8. 8.In a group of 34 children, 21 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing at least one of the two?
  9. 9.In a group of 30 children, 12 enjoy drawing, 21 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 32 children, 12 enjoy drawing, 25 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 29 children, 23 like mangoes, 17 like bananas and 12 like both. How many like only mangoes?
  12. 12.In a group of 38 children, 28 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing only Hindi songs?
  13. 13.In a group of 34 children, 11 sing Hindi songs, 26 sing English songs and 7 sing both. How many sing only Hindi songs?
  14. 14.In a group of 39 children, 20 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing at least one of the two?
  15. 15.In a group of 56 children, 27 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  16. 16.In a group of 20 children, 13 play chess, 11 play carrom and 6 play both. How many play only carrom?
  17. 17.In a group of 38 grown-ups, 25 drink tea, 22 drink coffee and 10 drink both. How many drink at least one of the two?
  18. 18.In a group of 38 children, 20 play chess, 11 play carrom and 7 play both. How many play neither of the two?
  19. 19.In a group of 47 children, 22 play chess, 22 play carrom and 12 play both. How many play at least one of the two?
  20. 20.In a group of 43 children, 17 sing Hindi songs, 19 sing English songs and 5 sing both. How many sing only English songs?
  21. 21.In a group of 36 children, 15 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 28 children, 9 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 34 grown-ups, 17 drink tea, 22 drink coffee and 8 drink both. How many drink only tea?
  24. 24.In a group of 31 children, 16 like mangoes, 23 like bananas and 10 like both. How many like exactly one of the two?
  25. 25.In a group of 24 children, 10 play chess, 11 play carrom and 2 play both. How many play exactly one of the two?
  26. 26.In a group of 39 children, 23 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  27. 27.In a group of 40 children, 20 play chess, 18 play carrom and 10 play both. How many play only carrom?
  28. 28.In a group of 43 grown-ups, 14 drink tea, 24 drink coffee and 7 drink both. How many drink exactly one of the two?
  29. 29.In a group of 42 children, 14 like mangoes, 22 like bananas and 3 like both. How many like only mangoes?
  30. 30.In a group of 23 children, 9 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 44 children, 26 play chess, 19 play carrom and 8 play both. How many play only carrom?
  32. 32.In a group of 36 children, 17 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 39 children, 24 like mangoes, 9 like bananas and 5 like both. How many like only mangoes?
  34. 34.In a group of 17 children, 10 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing neither of the two?
  35. 35.In a group of 37 children, 22 play chess, 11 play carrom and 6 play both. How many play only chess?
  36. 36.In a group of 53 grown-ups, 22 drink tea, 24 drink coffee and 5 drink both. How many drink only coffee?
  37. 37.In a group of 35 grown-ups, 27 drink tea, 15 drink coffee and 12 drink both. How many drink only coffee?
  38. 38.In a group of 46 children, 17 enjoy drawing, 22 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 47 children, 22 like mangoes, 12 like bananas and 2 like both. How many like neither of the two?
  40. 40.In a group of 38 children, 12 like mangoes, 13 like bananas and 2 like both. How many like at least one of the two?

Answer key

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

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