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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 482 · 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 18 children, 11 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  2. 2.In a group of 15 children, 7 enjoy drawing, 10 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 44 children, 17 play cricket, 21 play football and 9 play both. How many play neither of the two?
  4. 4.In a group of 44 children, 25 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 45 children, 19 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 42 grown-ups, 17 drink tea, 21 drink coffee and 10 drink both. How many drink neither of the two?
  7. 7.In a group of 23 children, 10 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  8. 8.In a group of 48 children, 27 like mangoes, 23 like bananas and 11 like both. How many like neither of the two?
  9. 9.In a group of 48 children, 30 like mangoes, 29 like bananas and 12 like both. How many like exactly one of the two?
  10. 10.In a group of 36 grown-ups, 18 drink tea, 9 drink coffee and 2 drink both. How many drink at least one of the two?
  11. 11.In a group of 22 grown-ups, 10 drink tea, 7 drink coffee and 3 drink both. How many drink at least one of the two?
  12. 12.In a group of 45 children, 21 like mangoes, 23 like bananas and 11 like both. How many like at least one of the two?
  13. 13.In a group of 36 children, 24 like mangoes, 14 like bananas and 5 like both. How many like exactly one of the two?
  14. 14.In a group of 49 children, 23 enjoy drawing, 21 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 50 children, 19 play cricket, 27 play football and 11 play both. How many play only football?
  16. 16.In a group of 20 children, 11 play cricket, 7 play football and 4 play both. How many play exactly one of the two?
  17. 17.In a group of 15 children, 10 enjoy drawing, 7 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 43 children, 18 play chess, 26 play carrom and 6 play both. How many play only chess?
  19. 19.In a group of 38 children, 11 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 31 children, 15 play cricket, 17 play football and 11 play both. How many play exactly one of the two?
  21. 21.In a group of 32 grown-ups, 21 drink tea, 8 drink coffee and 4 drink both. How many drink exactly one of the two?
  22. 22.In a group of 45 children, 27 like mangoes, 13 like bananas and 7 like both. How many like at least one of the two?
  23. 23.In a group of 29 children, 14 play cricket, 9 play football and 6 play both. How many play only cricket?
  24. 24.In a group of 28 children, 19 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 34 children, 16 enjoy drawing, 24 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 33 grown-ups, 22 drink tea, 11 drink coffee and 2 drink both. How many drink only coffee?
  27. 27.In a group of 42 children, 19 like mangoes, 21 like bananas and 9 like both. How many like neither of the two?
  28. 28.In a group of 31 children, 22 play chess, 10 play carrom and 7 play both. How many play neither of the two?
  29. 29.In a group of 18 grown-ups, 14 drink tea, 14 drink coffee and 11 drink both. How many drink only tea?
  30. 30.In a group of 19 children, 7 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 46 children, 15 play cricket, 21 play football and 4 play both. How many play only cricket?
  32. 32.In a group of 38 children, 17 play chess, 17 play carrom and 10 play both. How many play only chess?
  33. 33.In a group of 39 children, 13 sing Hindi songs, 19 sing English songs and 5 sing both. How many sing neither of the two?
  34. 34.In a group of 45 children, 16 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  35. 35.In a group of 38 children, 21 like mangoes, 24 like bananas and 12 like both. How many like only bananas?
  36. 36.In a group of 26 children, 21 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  37. 37.In a group of 36 grown-ups, 13 drink tea, 23 drink coffee and 4 drink both. How many drink only tea?
  38. 38.In a group of 23 children, 6 play chess, 15 play carrom and 3 play both. How many play neither of the two?
  39. 39.In a group of 30 children, 17 play chess, 23 play carrom and 12 play both. How many play only chess?
  40. 40.In a group of 24 children, 19 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?

Answer key

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

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