← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 146 · 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 35 children, 15 sing Hindi songs, 25 sing English songs and 8 sing both. How many sing only English songs?
  2. 2.In a group of 29 children, 13 play cricket, 20 play football and 7 play both. How many play only cricket?
  3. 3.In a group of 40 children, 16 play chess, 18 play carrom and 3 play both. How many play exactly one of the two?
  4. 4.In a group of 31 children, 6 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 45 children, 21 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 38 children, 15 sing Hindi songs, 18 sing English songs and 10 sing both. How many sing only English songs?
  7. 7.In a group of 35 children, 18 enjoy drawing, 20 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 23 children, 9 play chess, 9 play carrom and 3 play both. How many play only chess?
  9. 9.In a group of 27 children, 6 like mangoes, 23 like bananas and 3 like both. How many like at least one of the two?
  10. 10.In a group of 32 children, 10 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 34 children, 9 enjoy drawing, 18 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  12. 12.In a group of 44 children, 13 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 29 children, 14 play cricket, 8 play football and 3 play both. How many play at least one of the two?
  14. 14.In a group of 31 children, 15 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 27 children, 9 like mangoes, 15 like bananas and 4 like both. How many like only bananas?
  16. 16.In a group of 42 children, 8 play cricket, 24 play football and 4 play both. How many play at least one of the two?
  17. 17.In a group of 35 children, 10 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing only Hindi songs?
  18. 18.In a group of 23 children, 7 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 40 children, 22 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 30 children, 25 play cricket, 14 play football and 10 play both. How many play neither of the two?
  21. 21.In a group of 43 children, 24 like mangoes, 29 like bananas and 12 like both. How many like neither of the two?
  22. 22.In a group of 28 children, 17 like mangoes, 16 like bananas and 9 like both. How many like only mangoes?
  23. 23.In a group of 34 children, 14 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing exactly one of the two?
  24. 24.In a group of 18 children, 14 sing Hindi songs, 14 sing English songs and 11 sing both. How many sing exactly one of the two?
  25. 25.In a group of 32 children, 15 play cricket, 27 play football and 12 play both. How many play exactly one of the two?
  26. 26.In a group of 42 children, 22 enjoy drawing, 26 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 31 children, 19 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  28. 28.In a group of 40 grown-ups, 11 drink tea, 26 drink coffee and 8 drink both. How many drink neither of the two?
  29. 29.In a group of 38 grown-ups, 18 drink tea, 24 drink coffee and 8 drink both. How many drink at least one of the two?
  30. 30.In a group of 32 children, 16 like mangoes, 14 like bananas and 4 like both. How many like exactly one of the two?
  31. 31.In a group of 41 children, 15 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing only English songs?
  32. 32.In a group of 34 children, 11 enjoy drawing, 26 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 37 grown-ups, 18 drink tea, 11 drink coffee and 5 drink both. How many drink only coffee?
  34. 34.In a group of 42 grown-ups, 23 drink tea, 22 drink coffee and 5 drink both. How many drink exactly one of the two?
  35. 35.In a group of 30 children, 16 play chess, 14 play carrom and 7 play both. How many play at least one of the two?
  36. 36.In a group of 46 children, 16 like mangoes, 29 like bananas and 12 like both. How many like only mangoes?
  37. 37.In a group of 23 children, 15 like mangoes, 18 like bananas and 11 like both. How many like at least one of the two?
  38. 38.In a group of 41 children, 20 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing at least one of the two?
  39. 39.In a group of 28 children, 13 play chess, 11 play carrom and 8 play both. How many play only carrom?
  40. 40.In a group of 35 children, 19 play chess, 16 play carrom and 9 play both. How many play only carrom?

Answer key

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

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