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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 511 · 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 27 children, 11 like mangoes, 10 like bananas and 5 like both. How many like only mangoes?
  2. 2.In a group of 48 children, 26 play cricket, 17 play football and 8 play both. How many play neither of the two?
  3. 3.In a group of 32 children, 11 sing Hindi songs, 24 sing English songs and 4 sing both. How many sing exactly one of the two?
  4. 4.In a group of 36 children, 22 sing Hindi songs, 17 sing English songs and 6 sing both. How many sing only English songs?
  5. 5.In a group of 37 grown-ups, 17 drink tea, 21 drink coffee and 11 drink both. How many drink only tea?
  6. 6.In a group of 32 children, 26 like mangoes, 14 like bananas and 11 like both. How many like only mangoes?
  7. 7.In a group of 28 children, 11 enjoy drawing, 14 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 54 grown-ups, 26 drink tea, 24 drink coffee and 11 drink both. How many drink at least one of the two?
  9. 9.In a group of 40 children, 15 play cricket, 19 play football and 2 play both. How many play only cricket?
  10. 10.In a group of 34 children, 24 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing only English songs?
  11. 11.In a group of 50 children, 19 like mangoes, 29 like bananas and 12 like both. How many like exactly one of the two?
  12. 12.In a group of 40 children, 23 like mangoes, 14 like bananas and 9 like both. How many like only mangoes?
  13. 13.In a group of 17 children, 12 like mangoes, 6 like bananas and 2 like both. How many like only mangoes?
  14. 14.In a group of 31 children, 24 like mangoes, 9 like bananas and 6 like both. How many like neither of the two?
  15. 15.In a group of 32 children, 17 play chess, 11 play carrom and 5 play both. How many play only carrom?
  16. 16.In a group of 28 children, 5 play cricket, 22 play football and 2 play both. How many play exactly one of the two?
  17. 17.In a group of 31 children, 18 enjoy drawing, 19 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  18. 18.In a group of 49 grown-ups, 19 drink tea, 21 drink coffee and 2 drink both. How many drink only tea?
  19. 19.In a group of 35 children, 24 play chess, 13 play carrom and 8 play both. How many play only carrom?
  20. 20.In a group of 47 children, 17 play cricket, 31 play football and 12 play both. How many play neither of the two?
  21. 21.In a group of 37 grown-ups, 20 drink tea, 26 drink coffee and 12 drink both. How many drink only coffee?
  22. 22.In a group of 39 children, 13 enjoy drawing, 25 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 48 children, 19 play cricket, 25 play football and 11 play both. How many play only cricket?
  24. 24.In a group of 32 children, 16 like mangoes, 13 like bananas and 10 like both. How many like only mangoes?
  25. 25.In a group of 36 children, 18 play chess, 29 play carrom and 12 play both. How many play exactly one of the two?
  26. 26.In a group of 18 children, 10 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  27. 27.In a group of 40 children, 13 like mangoes, 25 like bananas and 9 like both. How many like exactly one of the two?
  28. 28.In a group of 36 grown-ups, 16 drink tea, 21 drink coffee and 11 drink both. How many drink only tea?
  29. 29.In a group of 33 children, 15 play chess, 15 play carrom and 5 play both. How many play at least one of the two?
  30. 30.In a group of 45 children, 20 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 40 children, 18 sing Hindi songs, 30 sing English songs and 10 sing both. How many sing only Hindi songs?
  32. 32.In a group of 33 children, 23 enjoy drawing, 11 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 33 children, 7 play cricket, 16 play football and 4 play both. How many play only football?
  34. 34.In a group of 25 children, 10 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing only English songs?
  35. 35.In a group of 49 children, 22 sing Hindi songs, 25 sing English songs and 8 sing both. How many sing only English songs?
  36. 36.In a group of 41 children, 23 play cricket, 29 play football and 12 play both. How many play only football?
  37. 37.In a group of 45 children, 16 play cricket, 18 play football and 4 play both. How many play exactly one of the two?
  38. 38.In a group of 32 grown-ups, 19 drink tea, 18 drink coffee and 11 drink both. How many drink only tea?
  39. 39.In a group of 33 grown-ups, 22 drink tea, 22 drink coffee and 12 drink both. How many drink only tea?
  40. 40.In a group of 36 grown-ups, 20 drink tea, 17 drink coffee and 3 drink both. How many drink at least one of the two?

Answer key

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

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