← Venn diagrams lesson New set →

Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 171 · 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 38 children, 17 play chess, 19 play carrom and 12 play both. How many play neither of the two?
  2. 2.In a group of 34 children, 19 like mangoes, 19 like bananas and 12 like both. How many like neither of the two?
  3. 3.In a group of 38 children, 20 sing Hindi songs, 15 sing English songs and 4 sing both. How many sing only English songs?
  4. 4.In a group of 41 children, 25 play chess, 22 play carrom and 7 play both. How many play only chess?
  5. 5.In a group of 40 children, 8 play cricket, 24 play football and 5 play both. How many play only cricket?
  6. 6.In a group of 53 children, 21 play cricket, 20 play football and 2 play both. How many play only football?
  7. 7.In a group of 42 children, 24 play chess, 17 play carrom and 7 play both. How many play neither of the two?
  8. 8.In a group of 40 children, 12 sing Hindi songs, 20 sing English songs and 7 sing both. How many sing at least one of the two?
  9. 9.In a group of 41 children, 31 play cricket, 15 play football and 12 play both. How many play only football?
  10. 10.In a group of 39 children, 22 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 20 children, 13 play cricket, 7 play football and 2 play both. How many play at least one of the two?
  12. 12.In a group of 48 children, 23 enjoy drawing, 20 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  13. 13.In a group of 17 children, 12 play cricket, 9 play football and 5 play both. How many play at least one of the two?
  14. 14.In a group of 38 children, 19 enjoy drawing, 25 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  15. 15.In a group of 36 children, 21 play cricket, 15 play football and 4 play both. How many play at least one of the two?
  16. 16.In a group of 28 children, 24 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  17. 17.In a group of 32 children, 23 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing exactly one of the two?
  18. 18.In a group of 46 children, 24 play cricket, 18 play football and 10 play both. How many play at least one of the two?
  19. 19.In a group of 35 grown-ups, 14 drink tea, 21 drink coffee and 5 drink both. How many drink at least one of the two?
  20. 20.In a group of 32 children, 14 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing at least one of the two?
  21. 21.In a group of 37 children, 18 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing only Hindi songs?
  22. 22.In a group of 40 children, 23 play cricket, 21 play football and 9 play both. How many play neither of the two?
  23. 23.In a group of 43 grown-ups, 17 drink tea, 22 drink coffee and 5 drink both. How many drink at least one of the two?
  24. 24.In a group of 46 children, 18 sing Hindi songs, 26 sing English songs and 12 sing both. How many sing neither of the two?
  25. 25.In a group of 40 children, 21 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 51 children, 27 sing Hindi songs, 25 sing English songs and 7 sing both. How many sing only Hindi songs?
  27. 27.In a group of 34 grown-ups, 13 drink tea, 16 drink coffee and 5 drink both. How many drink neither of the two?
  28. 28.In a group of 25 children, 9 play cricket, 15 play football and 5 play both. How many play neither of the two?
  29. 29.In a group of 37 children, 19 like mangoes, 20 like bananas and 12 like both. How many like exactly one of the two?
  30. 30.In a group of 29 children, 20 like mangoes, 17 like bananas and 9 like both. How many like only bananas?
  31. 31.In a group of 25 children, 19 play cricket, 11 play football and 6 play both. How many play at least one of the two?
  32. 32.In a group of 37 children, 21 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 17 children, 7 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 53 children, 25 sing Hindi songs, 32 sing English songs and 12 sing both. How many sing at least one of the two?
  35. 35.In a group of 20 children, 8 play cricket, 15 play football and 4 play both. How many play only cricket?
  36. 36.In a group of 30 children, 15 like mangoes, 12 like bananas and 3 like both. How many like at least one of the two?
  37. 37.In a group of 31 children, 9 play chess, 9 play carrom and 2 play both. How many play at least one of the two?
  38. 38.In a group of 48 children, 20 play chess, 24 play carrom and 5 play both. How many play at least one of the two?
  39. 39.In a group of 45 children, 18 sing Hindi songs, 23 sing English songs and 4 sing both. How many sing only Hindi songs?
  40. 40.In a group of 34 children, 19 play chess, 19 play carrom and 5 play both. How many play exactly one of the two?

Answer key

  1. 14
  2. 8
  3. 11
  4. 18
  5. 3
  6. 18
  7. 8
  8. 25
  9. 3
  10. 18
  11. 18
  12. 16
  13. 16
  14. 30
  15. 32
  16. 3
  17. 22
  18. 32
  19. 30
  20. 24
  21. 6
  22. 5
  23. 34
  24. 14
  25. 10
  26. 20
  27. 10
  28. 6
  29. 15
  30. 8
  31. 24
  32. 19
  33. 5
  34. 45
  35. 4
  36. 24
  37. 16
  38. 39
  39. 14
  40. 28

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