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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 217 · 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 43 children, 14 play chess, 27 play carrom and 8 play both. How many play only carrom?
  2. 2.In a group of 32 grown-ups, 6 drink tea, 21 drink coffee and 3 drink both. How many drink only coffee?
  3. 3.In a group of 31 children, 6 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing only English songs?
  4. 4.In a group of 31 children, 12 like mangoes, 10 like bananas and 5 like both. How many like only bananas?
  5. 5.In a group of 29 children, 14 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 37 grown-ups, 14 drink tea, 27 drink coffee and 9 drink both. How many drink only coffee?
  7. 7.In a group of 27 grown-ups, 14 drink tea, 14 drink coffee and 10 drink both. How many drink at least one of the two?
  8. 8.In a group of 48 children, 21 play chess, 17 play carrom and 5 play both. How many play at least one of the two?
  9. 9.In a group of 57 children, 26 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 32 grown-ups, 9 drink tea, 23 drink coffee and 6 drink both. How many drink neither of the two?
  11. 11.In a group of 37 children, 16 enjoy drawing, 26 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  12. 12.In a group of 39 children, 21 play cricket, 23 play football and 6 play both. How many play only cricket?
  13. 13.In a group of 38 children, 17 sing Hindi songs, 31 sing English songs and 11 sing both. How many sing only Hindi songs?
  14. 14.In a group of 59 children, 29 play cricket, 28 play football and 9 play both. How many play only cricket?
  15. 15.In a group of 42 children, 10 play cricket, 19 play football and 2 play both. How many play neither of the two?
  16. 16.In a group of 31 children, 22 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing neither of the two?
  17. 17.In a group of 34 children, 24 play cricket, 14 play football and 11 play both. How many play only football?
  18. 18.In a group of 35 children, 21 play chess, 16 play carrom and 4 play both. How many play neither of the two?
  19. 19.In a group of 35 children, 18 play chess, 23 play carrom and 8 play both. How many play exactly one of the two?
  20. 20.In a group of 38 grown-ups, 19 drink tea, 13 drink coffee and 5 drink both. How many drink only tea?
  21. 21.In a group of 21 children, 7 like mangoes, 17 like bananas and 4 like both. How many like only bananas?
  22. 22.In a group of 50 children, 25 like mangoes, 19 like bananas and 9 like both. How many like only mangoes?
  23. 23.In a group of 44 children, 23 play cricket, 25 play football and 12 play both. How many play neither of the two?
  24. 24.In a group of 49 children, 29 play cricket, 28 play football and 11 play both. How many play only cricket?
  25. 25.In a group of 23 children, 10 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 35 children, 18 play chess, 15 play carrom and 5 play both. How many play exactly one of the two?
  27. 27.In a group of 39 children, 19 enjoy drawing, 21 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  28. 28.In a group of 38 children, 29 play chess, 13 play carrom and 10 play both. How many play exactly one of the two?
  29. 29.In a group of 31 children, 15 like mangoes, 15 like bananas and 9 like both. How many like exactly one of the two?
  30. 30.In a group of 47 children, 26 play chess, 28 play carrom and 11 play both. How many play neither of the two?
  31. 31.In a group of 36 children, 6 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing neither of the two?
  32. 32.In a group of 30 grown-ups, 18 drink tea, 15 drink coffee and 6 drink both. How many drink exactly one of the two?
  33. 33.In a group of 35 children, 19 play cricket, 14 play football and 8 play both. How many play only cricket?
  34. 34.In a group of 27 grown-ups, 20 drink tea, 16 drink coffee and 11 drink both. How many drink only coffee?
  35. 35.In a group of 33 children, 20 play chess, 16 play carrom and 8 play both. How many play only carrom?
  36. 36.In a group of 28 children, 12 play cricket, 22 play football and 7 play both. How many play only cricket?
  37. 37.In a group of 39 children, 14 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  38. 38.In a group of 43 children, 20 play chess, 13 play carrom and 3 play both. How many play only carrom?
  39. 39.In a group of 34 children, 24 play cricket, 12 play football and 7 play both. How many play neither of the two?
  40. 40.In a group of 44 children, 16 sing Hindi songs, 23 sing English songs and 8 sing both. How many sing neither of the two?

Answer key

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

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