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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 99 · 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 grown-ups, 22 drink tea, 11 drink coffee and 7 drink both. How many drink exactly one of the two?
  2. 2.In a group of 37 children, 25 play chess, 13 play carrom and 7 play both. How many play exactly one of the two?
  3. 3.In a group of 43 grown-ups, 28 drink tea, 21 drink coffee and 12 drink both. How many drink exactly one of the two?
  4. 4.In a group of 52 children, 24 sing Hindi songs, 22 sing English songs and 5 sing both. How many sing only English songs?
  5. 5.In a group of 30 children, 19 play chess, 10 play carrom and 3 play both. How many play only chess?
  6. 6.In a group of 37 grown-ups, 17 drink tea, 7 drink coffee and 2 drink both. How many drink at least one of the two?
  7. 7.In a group of 41 children, 21 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing only Hindi songs?
  8. 8.In a group of 42 children, 16 play chess, 20 play carrom and 9 play both. How many play exactly one of the two?
  9. 9.In a group of 23 children, 6 play cricket, 9 play football and 2 play both. How many play exactly one of the two?
  10. 10.In a group of 50 children, 26 play chess, 29 play carrom and 9 play both. How many play at least one of the two?
  11. 11.In a group of 26 grown-ups, 8 drink tea, 18 drink coffee and 5 drink both. How many drink neither of the two?
  12. 12.In a group of 48 grown-ups, 24 drink tea, 25 drink coffee and 9 drink both. How many drink only coffee?
  13. 13.In a group of 34 children, 13 play chess, 14 play carrom and 5 play both. How many play only chess?
  14. 14.In a group of 26 children, 19 play cricket, 16 play football and 12 play both. How many play at least one of the two?
  15. 15.In a group of 18 children, 9 enjoy drawing, 12 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 41 children, 11 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  17. 17.In a group of 26 children, 7 play cricket, 20 play football and 4 play both. How many play neither of the two?
  18. 18.In a group of 44 children, 21 play cricket, 25 play football and 11 play both. How many play at least one of the two?
  19. 19.In a group of 48 grown-ups, 21 drink tea, 18 drink coffee and 5 drink both. How many drink neither of the two?
  20. 20.In a group of 26 children, 18 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 46 children, 14 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 30 grown-ups, 24 drink tea, 15 drink coffee and 11 drink both. How many drink at least one of the two?
  23. 23.In a group of 31 children, 24 like mangoes, 8 like bananas and 4 like both. How many like neither of the two?
  24. 24.In a group of 59 children, 25 play cricket, 30 play football and 11 play both. How many play only cricket?
  25. 25.In a group of 26 children, 11 play cricket, 15 play football and 4 play both. How many play neither of the two?
  26. 26.In a group of 44 children, 26 sing Hindi songs, 17 sing English songs and 6 sing both. How many sing exactly one of the two?
  27. 27.In a group of 36 grown-ups, 18 drink tea, 20 drink coffee and 6 drink both. How many drink at least one of the two?
  28. 28.In a group of 46 grown-ups, 15 drink tea, 26 drink coffee and 10 drink both. How many drink at least one of the two?
  29. 29.In a group of 25 children, 8 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 32 children, 10 like mangoes, 13 like bananas and 6 like both. How many like exactly one of the two?
  31. 31.In a group of 59 children, 27 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing only English songs?
  32. 32.In a group of 34 children, 19 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing only English songs?
  33. 33.In a group of 38 children, 16 enjoy drawing, 19 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 43 children, 25 like mangoes, 22 like bananas and 11 like both. How many like only mangoes?
  35. 35.In a group of 45 grown-ups, 26 drink tea, 13 drink coffee and 9 drink both. How many drink only coffee?
  36. 36.In a group of 42 grown-ups, 21 drink tea, 18 drink coffee and 11 drink both. How many drink neither of the two?
  37. 37.In a group of 46 grown-ups, 25 drink tea, 23 drink coffee and 6 drink both. How many drink at least one of the two?
  38. 38.In a group of 33 children, 26 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 37 grown-ups, 18 drink tea, 30 drink coffee and 12 drink both. How many drink only coffee?
  40. 40.In a group of 21 children, 7 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing at least one of the two?

Answer key

  1. 19
  2. 24
  3. 25
  4. 17
  5. 16
  6. 22
  7. 9
  8. 18
  9. 11
  10. 46
  11. 5
  12. 16
  13. 8
  14. 23
  15. 3
  16. 10
  17. 3
  18. 35
  19. 14
  20. 3
  21. 31
  22. 28
  23. 3
  24. 14
  25. 4
  26. 31
  27. 32
  28. 31
  29. 3
  30. 11
  31. 18
  32. 14
  33. 27
  34. 14
  35. 4
  36. 14
  37. 42
  38. 16
  39. 18
  40. 13

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