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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 269 · 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 36 children, 27 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  2. 2.In a group of 52 grown-ups, 18 drink tea, 29 drink coffee and 9 drink both. How many drink exactly one of the two?
  3. 3.In a group of 40 children, 11 enjoy drawing, 20 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 61 children, 27 play cricket, 29 play football and 9 play both. How many play at least one of the two?
  5. 5.In a group of 52 children, 25 play chess, 27 play carrom and 10 play both. How many play only chess?
  6. 6.In a group of 39 children, 9 sing Hindi songs, 20 sing English songs and 4 sing both. How many sing only English songs?
  7. 7.In a group of 36 children, 11 sing Hindi songs, 28 sing English songs and 8 sing both. How many sing only Hindi songs?
  8. 8.In a group of 42 children, 22 play chess, 24 play carrom and 12 play both. How many play only chess?
  9. 9.In a group of 52 children, 24 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  10. 10.In a group of 28 children, 19 like mangoes, 10 like bananas and 4 like both. How many like only bananas?
  11. 11.In a group of 33 grown-ups, 15 drink tea, 8 drink coffee and 5 drink both. How many drink at least one of the two?
  12. 12.In a group of 47 children, 17 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 41 children, 21 like mangoes, 12 like bananas and 2 like both. How many like only bananas?
  14. 14.In a group of 51 children, 26 sing Hindi songs, 25 sing English songs and 9 sing both. How many sing only English songs?
  15. 15.In a group of 51 children, 28 play chess, 27 play carrom and 9 play both. How many play only chess?
  16. 16.In a group of 36 children, 20 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 23 children, 12 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 36 grown-ups, 22 drink tea, 11 drink coffee and 6 drink both. How many drink only coffee?
  19. 19.In a group of 33 children, 19 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing exactly one of the two?
  20. 20.In a group of 27 children, 9 play chess, 20 play carrom and 6 play both. How many play at least one of the two?
  21. 21.In a group of 53 children, 21 sing Hindi songs, 22 sing English songs and 5 sing both. How many sing exactly one of the two?
  22. 22.In a group of 46 children, 17 like mangoes, 24 like bananas and 9 like both. How many like only mangoes?
  23. 23.In a group of 28 children, 19 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing only English songs?
  24. 24.In a group of 42 children, 18 play cricket, 27 play football and 10 play both. How many play only cricket?
  25. 25.In a group of 30 children, 23 play cricket, 10 play football and 5 play both. How many play at least one of the two?
  26. 26.In a group of 41 children, 10 enjoy drawing, 19 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  27. 27.In a group of 23 children, 10 like mangoes, 11 like bananas and 2 like both. How many like at least one of the two?
  28. 28.In a group of 33 children, 28 like mangoes, 16 like bananas and 12 like both. How many like at least one of the two?
  29. 29.In a group of 35 children, 18 play cricket, 21 play football and 12 play both. How many play only cricket?
  30. 30.In a group of 48 grown-ups, 20 drink tea, 21 drink coffee and 4 drink both. How many drink only tea?
  31. 31.In a group of 31 children, 23 sing Hindi songs, 12 sing English songs and 7 sing both. How many sing only English songs?
  32. 32.In a group of 60 children, 26 play chess, 28 play carrom and 9 play both. How many play only carrom?
  33. 33.In a group of 32 children, 14 play cricket, 25 play football and 10 play both. How many play only cricket?
  34. 34.In a group of 27 grown-ups, 23 drink tea, 14 drink coffee and 11 drink both. How many drink neither of the two?
  35. 35.In a group of 56 children, 23 play chess, 21 play carrom and 3 play both. How many play only carrom?
  36. 36.In a group of 61 children, 27 like mangoes, 30 like bananas and 11 like both. How many like only bananas?
  37. 37.In a group of 35 children, 23 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing neither of the two?
  38. 38.In a group of 39 children, 25 enjoy drawing, 18 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 32 grown-ups, 17 drink tea, 18 drink coffee and 7 drink both. How many drink only tea?
  40. 40.In a group of 44 children, 20 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy only dancing?

Answer key

  1. 16
  2. 29
  3. 17
  4. 47
  5. 15
  6. 16
  7. 3
  8. 10
  9. 43
  10. 6
  11. 18
  12. 23
  13. 10
  14. 16
  15. 19
  16. 9
  17. 17
  18. 5
  19. 25
  20. 23
  21. 33
  22. 8
  23. 6
  24. 8
  25. 28
  26. 23
  27. 19
  28. 32
  29. 6
  30. 16
  31. 5
  32. 19
  33. 4
  34. 1
  35. 18
  36. 19
  37. 4
  38. 10
  39. 10
  40. 10

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