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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 1 · 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 34 children, 12 enjoy drawing, 16 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  2. 2.In a group of 33 children, 16 play cricket, 14 play football and 11 play both. How many play exactly one of the two?
  3. 3.In a group of 38 children, 24 like mangoes, 13 like bananas and 10 like both. How many like at least one of the two?
  4. 4.In a group of 39 children, 21 enjoy drawing, 21 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  5. 5.In a group of 52 grown-ups, 29 drink tea, 30 drink coffee and 12 drink both. How many drink at least one of the two?
  6. 6.In a group of 47 children, 15 play cricket, 25 play football and 5 play both. How many play at least one of the two?
  7. 7.In a group of 22 children, 14 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing at least one of the two?
  8. 8.In a group of 36 grown-ups, 22 drink tea, 7 drink coffee and 2 drink both. How many drink only tea?
  9. 9.In a group of 24 children, 9 play chess, 6 play carrom and 3 play both. How many play only carrom?
  10. 10.In a group of 46 children, 28 play chess, 29 play carrom and 12 play both. How many play exactly one of the two?
  11. 11.In a group of 39 children, 16 enjoy drawing, 22 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 42 children, 28 play chess, 24 play carrom and 12 play both. How many play only carrom?
  13. 13.In a group of 26 children, 9 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 44 children, 23 play cricket, 27 play football and 10 play both. How many play neither of the two?
  15. 15.In a group of 30 children, 8 like mangoes, 20 like bananas and 2 like both. How many like neither of the two?
  16. 16.In a group of 40 children, 19 like mangoes, 28 like bananas and 9 like both. How many like only bananas?
  17. 17.In a group of 20 children, 9 like mangoes, 5 like bananas and 2 like both. How many like exactly one of the two?
  18. 18.In a group of 48 grown-ups, 18 drink tea, 22 drink coffee and 3 drink both. How many drink only tea?
  19. 19.In a group of 39 children, 32 play cricket, 16 play football and 12 play both. How many play neither of the two?
  20. 20.In a group of 48 grown-ups, 20 drink tea, 28 drink coffee and 12 drink both. How many drink only tea?
  21. 21.In a group of 57 children, 26 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  22. 22.In a group of 44 children, 26 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 29 children, 6 play chess, 12 play carrom and 2 play both. How many play neither of the two?
  24. 24.In a group of 42 children, 21 like mangoes, 19 like bananas and 9 like both. How many like only mangoes?
  25. 25.In a group of 45 grown-ups, 20 drink tea, 24 drink coffee and 9 drink both. How many drink at least one of the two?
  26. 26.In a group of 40 children, 23 play cricket, 18 play football and 9 play both. How many play only football?
  27. 27.In a group of 28 children, 11 sing Hindi songs, 16 sing English songs and 8 sing both. How many sing only Hindi songs?
  28. 28.In a group of 24 children, 10 play chess, 8 play carrom and 4 play both. How many play exactly one of the two?
  29. 29.In a group of 46 children, 23 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  30. 30.In a group of 34 grown-ups, 7 drink tea, 16 drink coffee and 2 drink both. How many drink at least one of the two?
  31. 31.In a group of 30 children, 23 enjoy drawing, 9 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  32. 32.In a group of 29 children, 22 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 37 children, 22 play cricket, 17 play football and 11 play both. How many play neither of the two?
  34. 34.In a group of 32 children, 12 play cricket, 14 play football and 5 play both. How many play exactly one of the two?
  35. 35.In a group of 30 children, 11 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 28 children, 8 play cricket, 11 play football and 4 play both. How many play exactly one of the two?
  37. 37.In a group of 37 grown-ups, 17 drink tea, 15 drink coffee and 10 drink both. How many drink only tea?
  38. 38.In a group of 42 children, 16 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  39. 39.In a group of 39 children, 22 play cricket, 7 play football and 4 play both. How many play only football?
  40. 40.In a group of 46 children, 15 like mangoes, 31 like bananas and 12 like both. How many like at least one of the two?

Answer key

  1. 12
  2. 8
  3. 27
  4. 1
  5. 47
  6. 35
  7. 18
  8. 20
  9. 3
  10. 33
  11. 14
  12. 12
  13. 4
  14. 4
  15. 4
  16. 19
  17. 10
  18. 15
  19. 3
  20. 8
  21. 13
  22. 5
  23. 13
  24. 12
  25. 35
  26. 9
  27. 3
  28. 10
  29. 16
  30. 21
  31. 20
  32. 4
  33. 9
  34. 16
  35. 8
  36. 11
  37. 7
  38. 25
  39. 3
  40. 34

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