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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 182 · 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, 15 like mangoes, 8 like bananas and 2 like both. How many like exactly one of the two?
  2. 2.In a group of 24 children, 13 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing exactly one of the two?
  3. 3.In a group of 32 children, 15 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 45 children, 18 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  5. 5.In a group of 50 children, 30 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 38 children, 11 play cricket, 25 play football and 8 play both. How many play exactly one of the two?
  7. 7.In a group of 42 children, 21 sing Hindi songs, 12 sing English songs and 4 sing both. How many sing at least one of the two?
  8. 8.In a group of 36 children, 28 enjoy drawing, 15 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  9. 9.In a group of 38 children, 18 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 42 children, 20 play chess, 15 play carrom and 7 play both. How many play only carrom?
  11. 11.In a group of 53 children, 29 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing at least one of the two?
  12. 12.In a group of 35 children, 17 play chess, 22 play carrom and 5 play both. How many play only carrom?
  13. 13.In a group of 22 children, 11 play cricket, 12 play football and 5 play both. How many play exactly one of the two?
  14. 14.In a group of 30 children, 10 enjoy drawing, 12 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 36 children, 18 like mangoes, 20 like bananas and 4 like both. How many like only mangoes?
  16. 16.In a group of 27 children, 18 play cricket, 15 play football and 7 play both. How many play at least one of the two?
  17. 17.In a group of 36 children, 16 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 38 children, 23 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  19. 19.In a group of 41 children, 18 play cricket, 13 play football and 4 play both. How many play only football?
  20. 20.In a group of 52 children, 28 play chess, 19 play carrom and 9 play both. How many play at least one of the two?
  21. 21.In a group of 36 grown-ups, 18 drink tea, 17 drink coffee and 9 drink both. How many drink only tea?
  22. 22.In a group of 39 children, 27 play cricket, 22 play football and 11 play both. How many play only football?
  23. 23.In a group of 28 children, 14 play chess, 11 play carrom and 3 play both. How many play at least one of the two?
  24. 24.In a group of 45 children, 28 like mangoes, 18 like bananas and 8 like both. How many like only mangoes?
  25. 25.In a group of 33 children, 15 like mangoes, 12 like bananas and 2 like both. How many like exactly one of the two?
  26. 26.In a group of 55 children, 29 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  27. 27.In a group of 34 children, 25 enjoy drawing, 15 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 50 grown-ups, 19 drink tea, 29 drink coffee and 11 drink both. How many drink at least one of the two?
  29. 29.In a group of 20 children, 13 play cricket, 15 play football and 9 play both. How many play only cricket?
  30. 30.In a group of 29 children, 12 play chess, 22 play carrom and 9 play both. How many play exactly one of the two?
  31. 31.In a group of 35 children, 8 play cricket, 18 play football and 5 play both. How many play only cricket?
  32. 32.In a group of 45 children, 18 play cricket, 19 play football and 5 play both. How many play at least one of the two?
  33. 33.In a group of 22 grown-ups, 11 drink tea, 17 drink coffee and 8 drink both. How many drink only coffee?
  34. 34.In a group of 29 children, 16 enjoy drawing, 12 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  35. 35.In a group of 44 children, 19 like mangoes, 26 like bananas and 6 like both. How many like only mangoes?
  36. 36.In a group of 49 children, 29 like mangoes, 16 like bananas and 9 like both. How many like only mangoes?
  37. 37.In a group of 27 grown-ups, 13 drink tea, 13 drink coffee and 2 drink both. How many drink only coffee?
  38. 38.In a group of 31 grown-ups, 8 drink tea, 18 drink coffee and 5 drink both. How many drink only coffee?
  39. 39.In a group of 34 children, 25 sing Hindi songs, 17 sing English songs and 9 sing both. How many sing at least one of the two?
  40. 40.In a group of 50 grown-ups, 19 drink tea, 26 drink coffee and 9 drink both. How many drink only tea?

Answer key

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

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