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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 600 · 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 22 children, 14 play chess, 7 play carrom and 2 play both. How many play at least one of the two?
  2. 2.In a group of 32 children, 8 enjoy drawing, 24 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 45 children, 22 play chess, 24 play carrom and 9 play both. How many play at least one of the two?
  4. 4.In a group of 19 children, 13 play cricket, 10 play football and 5 play both. How many play neither of the two?
  5. 5.In a group of 31 grown-ups, 14 drink tea, 9 drink coffee and 3 drink both. How many drink only tea?
  6. 6.In a group of 33 children, 27 like mangoes, 13 like bananas and 8 like both. How many like only mangoes?
  7. 7.In a group of 49 children, 22 play chess, 24 play carrom and 10 play both. How many play only chess?
  8. 8.In a group of 41 children, 18 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 47 children, 15 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  10. 10.In a group of 50 children, 32 play cricket, 21 play football and 12 play both. How many play at least one of the two?
  11. 11.In a group of 29 children, 10 play chess, 13 play carrom and 4 play both. How many play at least one of the two?
  12. 12.In a group of 39 children, 18 like mangoes, 14 like bananas and 6 like both. How many like only mangoes?
  13. 13.In a group of 26 children, 19 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  14. 14.In a group of 27 children, 5 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 44 children, 17 sing Hindi songs, 25 sing English songs and 9 sing both. How many sing at least one of the two?
  16. 16.In a group of 32 grown-ups, 12 drink tea, 21 drink coffee and 2 drink both. How many drink at least one of the two?
  17. 17.In a group of 40 children, 26 like mangoes, 16 like bananas and 6 like both. How many like only bananas?
  18. 18.In a group of 38 children, 14 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  19. 19.In a group of 31 children, 10 play chess, 27 play carrom and 7 play both. How many play at least one of the two?
  20. 20.In a group of 44 children, 21 like mangoes, 24 like bananas and 4 like both. How many like neither of the two?
  21. 21.In a group of 38 children, 22 sing Hindi songs, 20 sing English songs and 9 sing both. How many sing neither of the two?
  22. 22.In a group of 24 children, 16 play chess, 8 play carrom and 2 play both. How many play only chess?
  23. 23.In a group of 50 grown-ups, 24 drink tea, 23 drink coffee and 8 drink both. How many drink at least one of the two?
  24. 24.In a group of 48 children, 22 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 35 grown-ups, 22 drink tea, 23 drink coffee and 12 drink both. How many drink only coffee?
  26. 26.In a group of 29 children, 14 play chess, 10 play carrom and 3 play both. How many play only carrom?
  27. 27.In a group of 49 children, 22 like mangoes, 21 like bananas and 9 like both. How many like only bananas?
  28. 28.In a group of 38 children, 14 play cricket, 25 play football and 11 play both. How many play only football?
  29. 29.In a group of 45 children, 27 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  30. 30.In a group of 45 children, 22 play cricket, 22 play football and 2 play both. How many play neither of the two?
  31. 31.In a group of 37 children, 23 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 26 children, 9 play chess, 17 play carrom and 5 play both. How many play exactly one of the two?
  33. 33.In a group of 39 children, 19 play cricket, 17 play football and 8 play both. How many play only football?
  34. 34.In a group of 27 children, 15 play cricket, 9 play football and 2 play both. How many play only cricket?
  35. 35.In a group of 38 grown-ups, 17 drink tea, 19 drink coffee and 11 drink both. How many drink neither of the two?
  36. 36.In a group of 39 children, 21 play cricket, 10 play football and 4 play both. How many play exactly one of the two?
  37. 37.In a group of 41 children, 22 like mangoes, 19 like bananas and 4 like both. How many like only mangoes?
  38. 38.In a group of 46 children, 14 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 31 children, 16 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 39 children, 9 play cricket, 21 play football and 4 play both. How many play at least one of the two?

Answer key

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

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