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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 106 · 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 35 grown-ups, 14 drink tea, 26 drink coffee and 11 drink both. How many drink neither of the two?
  2. 2.In a group of 29 children, 16 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 45 children, 19 play cricket, 22 play football and 5 play both. How many play neither of the two?
  4. 4.In a group of 25 children, 18 play chess, 13 play carrom and 9 play both. How many play only chess?
  5. 5.In a group of 26 children, 10 like mangoes, 10 like bananas and 4 like both. How many like neither of the two?
  6. 6.In a group of 47 children, 23 like mangoes, 17 like bananas and 5 like both. How many like neither of the two?
  7. 7.In a group of 36 children, 15 like mangoes, 29 like bananas and 11 like both. How many like at least one of the two?
  8. 8.In a group of 47 children, 22 play chess, 24 play carrom and 5 play both. How many play at least one of the two?
  9. 9.In a group of 29 grown-ups, 11 drink tea, 24 drink coffee and 8 drink both. How many drink exactly one of the two?
  10. 10.In a group of 44 children, 28 play chess, 21 play carrom and 12 play both. How many play neither of the two?
  11. 11.In a group of 40 children, 14 play chess, 22 play carrom and 9 play both. How many play only chess?
  12. 12.In a group of 43 children, 23 enjoy drawing, 18 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 32 children, 12 play cricket, 13 play football and 6 play both. How many play at least one of the two?
  14. 14.In a group of 17 children, 12 play cricket, 12 play football and 8 play both. How many play only football?
  15. 15.In a group of 38 children, 18 like mangoes, 16 like bananas and 8 like both. How many like only mangoes?
  16. 16.In a group of 43 children, 22 enjoy drawing, 21 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 36 children, 15 play chess, 14 play carrom and 4 play both. How many play at least one of the two?
  18. 18.In a group of 24 children, 6 play chess, 20 play carrom and 3 play both. How many play neither of the two?
  19. 19.In a group of 31 children, 19 like mangoes, 6 like bananas and 2 like both. How many like at least one of the two?
  20. 20.In a group of 26 grown-ups, 9 drink tea, 18 drink coffee and 6 drink both. How many drink only tea?
  21. 21.In a group of 37 grown-ups, 19 drink tea, 21 drink coffee and 5 drink both. How many drink only coffee?
  22. 22.In a group of 20 children, 9 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  23. 23.In a group of 27 grown-ups, 12 drink tea, 15 drink coffee and 3 drink both. How many drink at least one of the two?
  24. 24.In a group of 30 children, 14 play cricket, 17 play football and 5 play both. How many play only cricket?
  25. 25.In a group of 40 children, 20 play chess, 19 play carrom and 11 play both. How many play only carrom?
  26. 26.In a group of 46 children, 26 like mangoes, 14 like bananas and 7 like both. How many like at least one of the two?
  27. 27.In a group of 34 children, 9 sing Hindi songs, 17 sing English songs and 4 sing both. How many sing only English songs?
  28. 28.In a group of 30 children, 20 play chess, 18 play carrom and 11 play both. How many play only carrom?
  29. 29.In a group of 35 children, 19 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  30. 30.In a group of 52 children, 26 play cricket, 29 play football and 11 play both. How many play only cricket?
  31. 31.In a group of 26 children, 16 play chess, 15 play carrom and 10 play both. How many play only chess?
  32. 32.In a group of 33 children, 13 play chess, 26 play carrom and 7 play both. How many play only carrom?
  33. 33.In a group of 49 children, 22 play chess, 19 play carrom and 6 play both. How many play only chess?
  34. 34.In a group of 39 children, 16 like mangoes, 17 like bananas and 2 like both. How many like only mangoes?
  35. 35.In a group of 24 children, 10 play cricket, 8 play football and 3 play both. How many play only cricket?
  36. 36.In a group of 56 children, 25 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 41 grown-ups, 20 drink tea, 17 drink coffee and 10 drink both. How many drink only tea?
  38. 38.In a group of 49 children, 30 sing Hindi songs, 25 sing English songs and 12 sing both. How many sing only Hindi songs?
  39. 39.In a group of 38 children, 20 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  40. 40.In a group of 49 children, 23 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?

Answer key

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

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