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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 669 · 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 54 children, 22 enjoy drawing, 24 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  2. 2.In a group of 29 grown-ups, 17 drink tea, 12 drink coffee and 3 drink both. How many drink only coffee?
  3. 3.In a group of 23 children, 18 play chess, 14 play carrom and 11 play both. How many play neither of the two?
  4. 4.In a group of 42 grown-ups, 23 drink tea, 18 drink coffee and 5 drink both. How many drink at least one of the two?
  5. 5.In a group of 16 children, 9 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  6. 6.In a group of 33 children, 13 play cricket, 28 play football and 9 play both. How many play at least one of the two?
  7. 7.In a group of 23 children, 12 like mangoes, 13 like bananas and 7 like both. How many like only mangoes?
  8. 8.In a group of 13 children, 6 sing Hindi songs, 6 sing English songs and 2 sing both. How many sing exactly one of the two?
  9. 9.In a group of 16 children, 12 play chess, 8 play carrom and 5 play both. How many play only chess?
  10. 10.In a group of 52 children, 28 sing Hindi songs, 18 sing English songs and 9 sing both. How many sing only Hindi songs?
  11. 11.In a group of 37 children, 23 enjoy drawing, 16 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 33 children, 11 play cricket, 21 play football and 2 play both. How many play exactly one of the two?
  13. 13.In a group of 55 children, 28 sing Hindi songs, 26 sing English songs and 9 sing both. How many sing neither of the two?
  14. 14.In a group of 51 children, 25 like mangoes, 31 like bananas and 11 like both. How many like exactly one of the two?
  15. 15.In a group of 26 children, 11 like mangoes, 11 like bananas and 8 like both. How many like only bananas?
  16. 16.In a group of 39 children, 20 enjoy drawing, 19 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 44 grown-ups, 22 drink tea, 12 drink coffee and 4 drink both. How many drink at least one of the two?
  18. 18.In a group of 30 children, 11 like mangoes, 9 like bananas and 4 like both. How many like only bananas?
  19. 19.In a group of 49 children, 21 play chess, 24 play carrom and 10 play both. How many play only chess?
  20. 20.In a group of 45 children, 23 sing Hindi songs, 16 sing English songs and 3 sing both. How many sing only Hindi songs?
  21. 21.In a group of 42 children, 24 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing neither of the two?
  22. 22.In a group of 24 children, 18 play cricket, 8 play football and 4 play both. How many play at least one of the two?
  23. 23.In a group of 41 children, 19 play cricket, 18 play football and 11 play both. How many play only football?
  24. 24.In a group of 39 grown-ups, 25 drink tea, 15 drink coffee and 8 drink both. How many drink at least one of the two?
  25. 25.In a group of 29 children, 11 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  26. 26.In a group of 43 children, 13 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  27. 27.In a group of 41 children, 18 enjoy drawing, 20 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 40 grown-ups, 29 drink tea, 20 drink coffee and 12 drink both. How many drink only tea?
  29. 29.In a group of 31 children, 9 play cricket, 12 play football and 2 play both. How many play only football?
  30. 30.In a group of 31 children, 19 like mangoes, 11 like bananas and 2 like both. How many like neither of the two?
  31. 31.In a group of 49 children, 24 like mangoes, 18 like bananas and 8 like both. How many like only mangoes?
  32. 32.In a group of 44 children, 27 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 38 children, 21 play cricket, 26 play football and 10 play both. How many play exactly one of the two?
  34. 34.In a group of 29 children, 6 sing Hindi songs, 19 sing English songs and 2 sing both. How many sing only English songs?
  35. 35.In a group of 43 children, 15 enjoy drawing, 23 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 49 children, 19 play cricket, 28 play football and 12 play both. How many play exactly one of the two?
  37. 37.In a group of 56 children, 25 play chess, 25 play carrom and 9 play both. How many play only carrom?
  38. 38.In a group of 23 children, 14 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 47 children, 29 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing only Hindi songs?
  40. 40.In a group of 52 grown-ups, 23 drink tea, 23 drink coffee and 3 drink both. How many drink only coffee?

Answer key

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

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