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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 353 · 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, 28 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  2. 2.In a group of 42 children, 18 play chess, 12 play carrom and 3 play both. How many play only carrom?
  3. 3.In a group of 26 children, 7 like mangoes, 16 like bananas and 2 like both. How many like only mangoes?
  4. 4.In a group of 20 grown-ups, 15 drink tea, 11 drink coffee and 7 drink both. How many drink at least one of the two?
  5. 5.In a group of 50 children, 18 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  6. 6.In a group of 35 children, 19 play chess, 10 play carrom and 2 play both. How many play neither of the two?
  7. 7.In a group of 31 grown-ups, 11 drink tea, 19 drink coffee and 2 drink both. How many drink neither of the two?
  8. 8.In a group of 33 grown-ups, 11 drink tea, 25 drink coffee and 7 drink both. How many drink only tea?
  9. 9.In a group of 38 children, 11 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing neither of the two?
  10. 10.In a group of 48 children, 28 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing only Hindi songs?
  11. 11.In a group of 44 children, 30 sing Hindi songs, 22 sing English songs and 11 sing both. How many sing exactly one of the two?
  12. 12.In a group of 44 children, 30 play cricket, 17 play football and 11 play both. How many play exactly one of the two?
  13. 13.In a group of 33 children, 14 like mangoes, 16 like bananas and 8 like both. How many like neither of the two?
  14. 14.In a group of 43 children, 25 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing exactly one of the two?
  15. 15.In a group of 38 children, 13 enjoy drawing, 27 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  16. 16.In a group of 51 children, 30 sing Hindi songs, 31 sing English songs and 11 sing both. How many sing only Hindi songs?
  17. 17.In a group of 31 children, 18 play chess, 17 play carrom and 12 play both. How many play only carrom?
  18. 18.In a group of 18 grown-ups, 13 drink tea, 13 drink coffee and 10 drink both. How many drink neither of the two?
  19. 19.In a group of 52 children, 17 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing at least one of the two?
  20. 20.In a group of 27 grown-ups, 9 drink tea, 16 drink coffee and 4 drink both. How many drink exactly one of the two?
  21. 21.In a group of 52 children, 28 play chess, 24 play carrom and 9 play both. How many play at least one of the two?
  22. 22.In a group of 37 children, 23 play cricket, 10 play football and 5 play both. How many play neither of the two?
  23. 23.In a group of 36 children, 22 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing neither of the two?
  24. 24.In a group of 42 children, 14 play cricket, 20 play football and 5 play both. How many play neither of the two?
  25. 25.In a group of 26 children, 17 enjoy drawing, 10 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 42 grown-ups, 22 drink tea, 24 drink coffee and 9 drink both. How many drink at least one of the two?
  27. 27.In a group of 45 children, 17 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing only English songs?
  28. 28.In a group of 25 children, 8 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 40 children, 15 enjoy drawing, 25 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  30. 30.In a group of 36 grown-ups, 21 drink tea, 19 drink coffee and 12 drink both. How many drink only coffee?
  31. 31.In a group of 44 children, 25 sing Hindi songs, 23 sing English songs and 10 sing both. How many sing exactly one of the two?
  32. 32.In a group of 26 children, 11 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  33. 33.In a group of 46 children, 17 play chess, 30 play carrom and 10 play both. How many play only carrom?
  34. 34.In a group of 47 grown-ups, 18 drink tea, 26 drink coffee and 7 drink both. How many drink at least one of the two?
  35. 35.In a group of 39 children, 17 like mangoes, 26 like bananas and 8 like both. How many like neither of the two?
  36. 36.In a group of 32 children, 13 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  37. 37.In a group of 40 children, 17 like mangoes, 21 like bananas and 10 like both. How many like at least one of the two?
  38. 38.In a group of 29 children, 15 play chess, 11 play carrom and 6 play both. How many play only chess?
  39. 39.In a group of 40 children, 24 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  40. 40.In a group of 40 children, 9 play cricket, 19 play football and 3 play both. How many play exactly one of the two?

Answer key

  1. 18
  2. 9
  3. 5
  4. 19
  5. 37
  6. 8
  7. 3
  8. 4
  9. 11
  10. 20
  11. 30
  12. 25
  13. 11
  14. 24
  15. 20
  16. 19
  17. 5
  18. 2
  19. 37
  20. 17
  21. 43
  22. 9
  23. 8
  24. 13
  25. 15
  26. 37
  27. 13
  28. 19
  29. 6
  30. 7
  31. 28
  32. 7
  33. 20
  34. 37
  35. 4
  36. 5
  37. 28
  38. 9
  39. 33
  40. 22

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