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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 30 · 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 42 grown-ups, 24 drink tea, 8 drink coffee and 4 drink both. How many drink neither of the two?
  2. 2.In a group of 47 children, 24 play cricket, 24 play football and 4 play both. How many play at least one of the two?
  3. 3.In a group of 43 children, 21 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 40 children, 11 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  5. 5.In a group of 32 children, 19 play chess, 11 play carrom and 3 play both. How many play exactly one of the two?
  6. 6.In a group of 29 children, 15 play cricket, 20 play football and 8 play both. How many play exactly one of the two?
  7. 7.In a group of 48 grown-ups, 22 drink tea, 19 drink coffee and 3 drink both. How many drink neither of the two?
  8. 8.In a group of 21 children, 12 play cricket, 9 play football and 2 play both. How many play only football?
  9. 9.In a group of 33 children, 11 play chess, 14 play carrom and 6 play both. How many play only chess?
  10. 10.In a group of 49 children, 19 sing Hindi songs, 21 sing English songs and 3 sing both. How many sing neither of the two?
  11. 11.In a group of 50 children, 26 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 47 children, 24 play cricket, 18 play football and 8 play both. How many play at least one of the two?
  13. 13.In a group of 44 children, 25 sing Hindi songs, 21 sing English songs and 7 sing both. How many sing only Hindi songs?
  14. 14.In a group of 55 children, 28 sing Hindi songs, 26 sing English songs and 9 sing both. How many sing only Hindi songs?
  15. 15.In a group of 26 children, 16 play chess, 10 play carrom and 3 play both. How many play only chess?
  16. 16.In a group of 22 children, 14 play cricket, 15 play football and 9 play both. How many play exactly one of the two?
  17. 17.In a group of 36 children, 20 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 52 children, 27 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  19. 19.In a group of 39 grown-ups, 14 drink tea, 16 drink coffee and 5 drink both. How many drink at least one of the two?
  20. 20.In a group of 33 grown-ups, 11 drink tea, 11 drink coffee and 3 drink both. How many drink neither of the two?
  21. 21.In a group of 29 children, 16 play cricket, 15 play football and 7 play both. How many play at least one of the two?
  22. 22.In a group of 55 children, 31 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 40 children, 21 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing exactly one of the two?
  24. 24.In a group of 46 children, 22 play cricket, 22 play football and 10 play both. How many play at least one of the two?
  25. 25.In a group of 29 children, 14 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 42 children, 13 play cricket, 20 play football and 4 play both. How many play only cricket?
  27. 27.In a group of 29 children, 15 enjoy drawing, 18 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  28. 28.In a group of 35 children, 9 like mangoes, 13 like bananas and 2 like both. How many like only bananas?
  29. 29.In a group of 43 grown-ups, 20 drink tea, 27 drink coffee and 8 drink both. How many drink only coffee?
  30. 30.In a group of 32 children, 10 play cricket, 18 play football and 3 play both. How many play neither of the two?
  31. 31.In a group of 38 children, 13 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing only English songs?
  32. 32.In a group of 39 children, 17 play cricket, 25 play football and 6 play both. How many play only football?
  33. 33.In a group of 44 children, 26 sing Hindi songs, 14 sing English songs and 7 sing both. How many sing exactly one of the two?
  34. 34.In a group of 17 children, 8 play chess, 8 play carrom and 4 play both. How many play only chess?
  35. 35.In a group of 47 grown-ups, 15 drink tea, 22 drink coffee and 3 drink both. How many drink neither of the two?
  36. 36.In a group of 49 children, 28 sing Hindi songs, 19 sing English songs and 8 sing both. How many sing only Hindi songs?
  37. 37.In a group of 27 children, 19 play cricket, 18 play football and 12 play both. How many play neither of the two?
  38. 38.In a group of 22 grown-ups, 6 drink tea, 9 drink coffee and 3 drink both. How many drink neither of the two?
  39. 39.In a group of 38 children, 23 play chess, 9 play carrom and 6 play both. How many play at least one of the two?
  40. 40.In a group of 32 children, 5 sing Hindi songs, 18 sing English songs and 2 sing both. How many sing exactly one of the two?

Answer key

  1. 14
  2. 44
  3. 17
  4. 24
  5. 24
  6. 19
  7. 10
  8. 7
  9. 5
  10. 12
  11. 17
  12. 34
  13. 18
  14. 19
  15. 13
  16. 11
  17. 34
  18. 14
  19. 25
  20. 14
  21. 24
  22. 12
  23. 25
  24. 34
  25. 7
  26. 9
  27. 5
  28. 11
  29. 19
  30. 7
  31. 10
  32. 19
  33. 26
  34. 4
  35. 13
  36. 20
  37. 2
  38. 10
  39. 26
  40. 19

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