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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 436 · 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 32 grown-ups, 18 drink tea, 18 drink coffee and 11 drink both. How many drink exactly one of the two?
  2. 2.In a group of 29 children, 22 play cricket, 15 play football and 12 play both. How many play only football?
  3. 3.In a group of 54 children, 30 play cricket, 30 play football and 11 play both. How many play only football?
  4. 4.In a group of 36 children, 15 sing Hindi songs, 15 sing English songs and 3 sing both. How many sing only Hindi songs?
  5. 5.In a group of 33 children, 12 play chess, 24 play carrom and 7 play both. How many play only carrom?
  6. 6.In a group of 42 children, 20 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  7. 7.In a group of 38 children, 22 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing neither of the two?
  8. 8.In a group of 43 children, 21 play cricket, 15 play football and 6 play both. How many play neither of the two?
  9. 9.In a group of 50 grown-ups, 24 drink tea, 26 drink coffee and 11 drink both. How many drink exactly one of the two?
  10. 10.In a group of 34 grown-ups, 13 drink tea, 20 drink coffee and 8 drink both. How many drink exactly one of the two?
  11. 11.In a group of 43 children, 25 play cricket, 27 play football and 12 play both. How many play only cricket?
  12. 12.In a group of 39 grown-ups, 15 drink tea, 28 drink coffee and 10 drink both. How many drink at least one of the two?
  13. 13.In a group of 53 children, 32 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 22 children, 14 play chess, 14 play carrom and 9 play both. How many play exactly one of the two?
  15. 15.In a group of 29 children, 20 like mangoes, 9 like bananas and 4 like both. How many like only bananas?
  16. 16.In a group of 19 grown-ups, 7 drink tea, 12 drink coffee and 3 drink both. How many drink only tea?
  17. 17.In a group of 39 children, 22 like mangoes, 6 like bananas and 3 like both. How many like exactly one of the two?
  18. 18.In a group of 40 children, 27 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  19. 19.In a group of 38 children, 13 play cricket, 23 play football and 7 play both. How many play only cricket?
  20. 20.In a group of 24 children, 15 enjoy drawing, 20 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  21. 21.In a group of 33 children, 24 play chess, 11 play carrom and 5 play both. How many play only chess?
  22. 22.In a group of 32 grown-ups, 10 drink tea, 13 drink coffee and 2 drink both. How many drink at least one of the two?
  23. 23.In a group of 31 grown-ups, 17 drink tea, 18 drink coffee and 12 drink both. How many drink only tea?
  24. 24.In a group of 38 children, 11 play cricket, 21 play football and 5 play both. How many play exactly one of the two?
  25. 25.In a group of 24 grown-ups, 13 drink tea, 11 drink coffee and 5 drink both. How many drink neither of the two?
  26. 26.In a group of 50 children, 29 sing Hindi songs, 25 sing English songs and 12 sing both. How many sing neither of the two?
  27. 27.In a group of 43 children, 16 play cricket, 28 play football and 10 play both. How many play neither of the two?
  28. 28.In a group of 32 grown-ups, 6 drink tea, 21 drink coffee and 2 drink both. How many drink exactly one of the two?
  29. 29.In a group of 30 children, 15 like mangoes, 16 like bananas and 12 like both. How many like exactly one of the two?
  30. 30.In a group of 41 children, 16 sing Hindi songs, 29 sing English songs and 12 sing both. How many sing at least one of the two?
  31. 31.In a group of 35 children, 20 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing at least one of the two?
  32. 32.In a group of 41 grown-ups, 24 drink tea, 24 drink coffee and 12 drink both. How many drink only tea?
  33. 33.In a group of 30 children, 17 play cricket, 16 play football and 11 play both. How many play at least one of the two?
  34. 34.In a group of 25 children, 12 like mangoes, 8 like bananas and 4 like both. How many like exactly one of the two?
  35. 35.In a group of 40 children, 11 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 25 grown-ups, 17 drink tea, 9 drink coffee and 5 drink both. How many drink only coffee?
  37. 37.In a group of 53 grown-ups, 23 drink tea, 21 drink coffee and 4 drink both. How many drink only coffee?
  38. 38.In a group of 25 children, 8 like mangoes, 11 like bananas and 3 like both. How many like exactly one of the two?
  39. 39.In a group of 30 children, 22 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing neither of the two?
  40. 40.In a group of 31 children, 21 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing only English songs?

Answer key

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

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