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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 564 · 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 18 grown-ups, 9 drink tea, 5 drink coffee and 2 drink both. How many drink exactly one of the two?
  2. 2.In a group of 36 children, 24 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 48 children, 26 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing neither of the two?
  4. 4.In a group of 42 children, 8 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  5. 5.In a group of 51 grown-ups, 23 drink tea, 29 drink coffee and 11 drink both. How many drink only tea?
  6. 6.In a group of 23 children, 8 like mangoes, 8 like bananas and 4 like both. How many like only bananas?
  7. 7.In a group of 40 children, 24 play cricket, 11 play football and 7 play both. How many play exactly one of the two?
  8. 8.In a group of 30 children, 7 like mangoes, 19 like bananas and 2 like both. How many like only bananas?
  9. 9.In a group of 26 children, 15 play cricket, 9 play football and 3 play both. How many play at least one of the two?
  10. 10.In a group of 45 children, 29 play cricket, 13 play football and 10 play both. How many play only football?
  11. 11.In a group of 35 grown-ups, 16 drink tea, 8 drink coffee and 2 drink both. How many drink neither of the two?
  12. 12.In a group of 42 children, 15 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 37 children, 20 play cricket, 20 play football and 12 play both. How many play only football?
  14. 14.In a group of 18 children, 12 like mangoes, 10 like bananas and 5 like both. How many like only mangoes?
  15. 15.In a group of 38 grown-ups, 25 drink tea, 21 drink coffee and 11 drink both. How many drink exactly one of the two?
  16. 16.In a group of 35 children, 15 play cricket, 18 play football and 11 play both. How many play neither of the two?
  17. 17.In a group of 43 children, 24 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing at least one of the two?
  18. 18.In a group of 23 children, 18 play chess, 15 play carrom and 12 play both. How many play neither of the two?
  19. 19.In a group of 40 children, 23 play cricket, 11 play football and 4 play both. How many play only cricket?
  20. 20.In a group of 43 children, 27 like mangoes, 13 like bananas and 8 like both. How many like only mangoes?
  21. 21.In a group of 45 children, 22 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 48 children, 23 sing Hindi songs, 22 sing English songs and 4 sing both. How many sing only English songs?
  23. 23.In a group of 51 grown-ups, 23 drink tea, 18 drink coffee and 5 drink both. How many drink at least one of the two?
  24. 24.In a group of 39 children, 17 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing exactly one of the two?
  25. 25.In a group of 45 children, 25 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing exactly one of the two?
  26. 26.In a group of 39 children, 11 play cricket, 27 play football and 8 play both. How many play neither of the two?
  27. 27.In a group of 38 children, 21 play chess, 8 play carrom and 4 play both. How many play exactly one of the two?
  28. 28.In a group of 32 children, 21 like mangoes, 16 like bananas and 9 like both. How many like only bananas?
  29. 29.In a group of 30 children, 6 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing only English songs?
  30. 30.In a group of 34 children, 13 play cricket, 20 play football and 3 play both. How many play only football?
  31. 31.In a group of 47 children, 27 like mangoes, 26 like bananas and 11 like both. How many like neither of the two?
  32. 32.In a group of 36 children, 26 play cricket, 16 play football and 10 play both. How many play only cricket?
  33. 33.In a group of 46 children, 23 like mangoes, 23 like bananas and 5 like both. How many like only mangoes?
  34. 34.In a group of 47 grown-ups, 27 drink tea, 24 drink coffee and 10 drink both. How many drink only tea?
  35. 35.In a group of 36 grown-ups, 22 drink tea, 15 drink coffee and 9 drink both. How many drink exactly one of the two?
  36. 36.In a group of 51 children, 28 sing Hindi songs, 25 sing English songs and 11 sing both. How many sing only English songs?
  37. 37.In a group of 46 children, 19 play cricket, 26 play football and 9 play both. How many play at least one of the two?
  38. 38.In a group of 30 grown-ups, 9 drink tea, 16 drink coffee and 2 drink both. How many drink only tea?
  39. 39.In a group of 41 children, 17 like mangoes, 18 like bananas and 9 like both. How many like neither of the two?
  40. 40.In a group of 48 children, 25 play cricket, 31 play football and 11 play both. How many play exactly one of the two?

Answer key

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

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