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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 326 · 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, 21 drink tea, 26 drink coffee and 6 drink both. How many drink at least one of the two?
  2. 2.In a group of 41 children, 15 sing Hindi songs, 21 sing English songs and 10 sing both. How many sing neither of the two?
  3. 3.In a group of 47 grown-ups, 17 drink tea, 26 drink coffee and 11 drink both. How many drink at least one of the two?
  4. 4.In a group of 38 children, 16 like mangoes, 17 like bananas and 5 like both. How many like exactly one of the two?
  5. 5.In a group of 36 children, 14 play chess, 17 play carrom and 3 play both. How many play only chess?
  6. 6.In a group of 33 children, 9 play cricket, 14 play football and 2 play both. How many play exactly one of the two?
  7. 7.In a group of 33 children, 12 play cricket, 24 play football and 4 play both. How many play neither of the two?
  8. 8.In a group of 28 grown-ups, 12 drink tea, 23 drink coffee and 9 drink both. How many drink only coffee?
  9. 9.In a group of 45 children, 22 play chess, 30 play carrom and 11 play both. How many play at least one of the two?
  10. 10.In a group of 43 grown-ups, 18 drink tea, 21 drink coffee and 2 drink both. How many drink only tea?
  11. 11.In a group of 27 children, 14 like mangoes, 16 like bananas and 4 like both. How many like only mangoes?
  12. 12.In a group of 44 children, 19 play chess, 22 play carrom and 9 play both. How many play neither of the two?
  13. 13.In a group of 20 children, 7 like mangoes, 12 like bananas and 3 like both. How many like only bananas?
  14. 14.In a group of 41 children, 10 play chess, 18 play carrom and 2 play both. How many play only chess?
  15. 15.In a group of 33 children, 10 play cricket, 18 play football and 2 play both. How many play only cricket?
  16. 16.In a group of 55 children, 21 like mangoes, 32 like bananas and 12 like both. How many like only mangoes?
  17. 17.In a group of 43 children, 26 play chess, 15 play carrom and 9 play both. How many play exactly one of the two?
  18. 18.In a group of 42 children, 15 play chess, 20 play carrom and 3 play both. How many play exactly one of the two?
  19. 19.In a group of 38 grown-ups, 20 drink tea, 16 drink coffee and 12 drink both. How many drink exactly one of the two?
  20. 20.In a group of 42 children, 28 like mangoes, 20 like bananas and 10 like both. How many like at least one of the two?
  21. 21.In a group of 41 children, 14 play chess, 22 play carrom and 9 play both. How many play neither of the two?
  22. 22.In a group of 50 children, 27 play cricket, 26 play football and 10 play both. How many play only cricket?
  23. 23.In a group of 27 children, 13 play cricket, 14 play football and 6 play both. How many play only football?
  24. 24.In a group of 44 children, 20 play chess, 17 play carrom and 7 play both. How many play exactly one of the two?
  25. 25.In a group of 36 children, 23 like mangoes, 13 like bananas and 10 like both. How many like only bananas?
  26. 26.In a group of 42 children, 11 play chess, 20 play carrom and 4 play both. How many play neither of the two?
  27. 27.In a group of 29 children, 11 sing Hindi songs, 15 sing English songs and 7 sing both. How many sing only Hindi songs?
  28. 28.In a group of 40 grown-ups, 16 drink tea, 23 drink coffee and 11 drink both. How many drink only tea?
  29. 29.In a group of 29 children, 17 enjoy drawing, 14 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  30. 30.In a group of 39 children, 21 play cricket, 12 play football and 8 play both. How many play only cricket?
  31. 31.In a group of 33 children, 18 play cricket, 11 play football and 2 play both. How many play only football?
  32. 32.In a group of 34 grown-ups, 23 drink tea, 14 drink coffee and 6 drink both. How many drink only coffee?
  33. 33.In a group of 25 children, 21 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 44 children, 20 sing Hindi songs, 19 sing English songs and 10 sing both. How many sing only English songs?
  35. 35.In a group of 44 children, 24 like mangoes, 19 like bananas and 7 like both. How many like exactly one of the two?
  36. 36.In a group of 40 children, 25 play cricket, 10 play football and 7 play both. How many play only football?
  37. 37.In a group of 36 children, 12 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 31 children, 15 play cricket, 26 play football and 11 play both. How many play only cricket?
  39. 39.In a group of 45 children, 18 like mangoes, 18 like bananas and 4 like both. How many like only bananas?
  40. 40.In a group of 36 grown-ups, 18 drink tea, 10 drink coffee and 6 drink both. How many drink exactly one of the two?

Answer key

  1. 41
  2. 15
  3. 32
  4. 23
  5. 11
  6. 19
  7. 1
  8. 14
  9. 41
  10. 16
  11. 10
  12. 12
  13. 9
  14. 8
  15. 8
  16. 9
  17. 23
  18. 29
  19. 12
  20. 38
  21. 14
  22. 17
  23. 8
  24. 23
  25. 3
  26. 15
  27. 4
  28. 5
  29. 3
  30. 13
  31. 9
  32. 8
  33. 24
  34. 9
  35. 29
  36. 3
  37. 6
  38. 4
  39. 14
  40. 16

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