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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 9 · 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 28 children, 14 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  2. 2.In a group of 42 children, 12 enjoy drawing, 24 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  3. 3.In a group of 27 children, 21 like mangoes, 7 like bananas and 3 like both. How many like only bananas?
  4. 4.In a group of 31 grown-ups, 12 drink tea, 19 drink coffee and 2 drink both. How many drink neither of the two?
  5. 5.In a group of 36 children, 18 like mangoes, 10 like bananas and 6 like both. How many like only mangoes?
  6. 6.In a group of 36 grown-ups, 17 drink tea, 15 drink coffee and 4 drink both. How many drink only coffee?
  7. 7.In a group of 40 children, 12 like mangoes, 27 like bananas and 7 like both. How many like neither of the two?
  8. 8.In a group of 32 children, 18 sing Hindi songs, 14 sing English songs and 5 sing both. How many sing neither of the two?
  9. 9.In a group of 58 children, 25 enjoy drawing, 25 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 31 children, 16 like mangoes, 13 like bananas and 9 like both. How many like only mangoes?
  11. 11.In a group of 29 children, 18 enjoy drawing, 16 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  12. 12.In a group of 37 grown-ups, 11 drink tea, 21 drink coffee and 8 drink both. How many drink only coffee?
  13. 13.In a group of 37 children, 9 play chess, 22 play carrom and 2 play both. How many play only carrom?
  14. 14.In a group of 29 children, 15 like mangoes, 17 like bananas and 10 like both. How many like exactly one of the two?
  15. 15.In a group of 41 children, 18 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 18 children, 7 play chess, 12 play carrom and 3 play both. How many play neither of the two?
  17. 17.In a group of 42 children, 30 like mangoes, 17 like bananas and 10 like both. How many like exactly one of the two?
  18. 18.In a group of 44 children, 30 like mangoes, 21 like bananas and 11 like both. How many like only mangoes?
  19. 19.In a group of 33 children, 20 enjoy drawing, 19 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 46 children, 18 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 33 grown-ups, 16 drink tea, 26 drink coffee and 12 drink both. How many drink only tea?
  22. 22.In a group of 21 children, 6 play cricket, 15 play football and 2 play both. How many play only football?
  23. 23.In a group of 42 children, 18 play cricket, 25 play football and 10 play both. How many play at least one of the two?
  24. 24.In a group of 54 children, 29 like mangoes, 30 like bananas and 12 like both. How many like exactly one of the two?
  25. 25.In a group of 41 children, 23 play chess, 8 play carrom and 4 play both. How many play only carrom?
  26. 26.In a group of 29 children, 13 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 39 children, 11 play cricket, 24 play football and 5 play both. How many play neither of the two?
  28. 28.In a group of 42 children, 20 sing Hindi songs, 15 sing English songs and 2 sing both. How many sing at least one of the two?
  29. 29.In a group of 38 children, 27 play cricket, 22 play football and 12 play both. How many play exactly one of the two?
  30. 30.In a group of 42 children, 19 play chess, 26 play carrom and 7 play both. How many play only chess?
  31. 31.In a group of 37 children, 11 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  32. 32.In a group of 23 children, 9 play cricket, 15 play football and 4 play both. How many play neither of the two?
  33. 33.In a group of 22 children, 12 play cricket, 7 play football and 2 play both. How many play exactly one of the two?
  34. 34.In a group of 48 children, 24 enjoy drawing, 16 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 55 children, 30 like mangoes, 31 like bananas and 11 like both. How many like neither of the two?
  36. 36.In a group of 25 grown-ups, 7 drink tea, 19 drink coffee and 3 drink both. How many drink neither of the two?
  37. 37.In a group of 35 grown-ups, 14 drink tea, 21 drink coffee and 7 drink both. How many drink at least one of the two?
  38. 38.In a group of 34 children, 16 play cricket, 14 play football and 9 play both. How many play exactly one of the two?
  39. 39.In a group of 25 children, 10 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 24 children, 9 sing Hindi songs, 19 sing English songs and 6 sing both. How many sing neither of the two?

Answer key

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

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