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Venn Diagram Worksheet

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

Answer key

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

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