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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 279 · 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 45 children, 21 sing Hindi songs, 16 sing English songs and 3 sing both. How many sing neither of the two?
  2. 2.In a group of 34 grown-ups, 8 drink tea, 15 drink coffee and 3 drink both. How many drink only tea?
  3. 3.In a group of 46 grown-ups, 22 drink tea, 29 drink coffee and 9 drink both. How many drink only tea?
  4. 4.In a group of 40 children, 15 play cricket, 23 play football and 5 play both. How many play only cricket?
  5. 5.In a group of 43 children, 27 enjoy drawing, 22 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  6. 6.In a group of 46 children, 30 play chess, 24 play carrom and 12 play both. How many play only carrom?
  7. 7.In a group of 33 children, 25 like mangoes, 14 like bananas and 11 like both. How many like exactly one of the two?
  8. 8.In a group of 40 grown-ups, 19 drink tea, 22 drink coffee and 2 drink both. How many drink neither of the two?
  9. 9.In a group of 49 children, 18 play cricket, 19 play football and 2 play both. How many play exactly one of the two?
  10. 10.In a group of 38 children, 13 like mangoes, 25 like bananas and 6 like both. How many like only bananas?
  11. 11.In a group of 52 children, 23 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  12. 12.In a group of 39 children, 29 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 47 children, 30 play cricket, 16 play football and 12 play both. How many play only cricket?
  14. 14.In a group of 28 children, 7 play cricket, 18 play football and 3 play both. How many play only cricket?
  15. 15.In a group of 26 grown-ups, 8 drink tea, 15 drink coffee and 5 drink both. How many drink exactly one of the two?
  16. 16.In a group of 45 children, 15 play cricket, 25 play football and 6 play both. How many play only football?
  17. 17.In a group of 33 children, 13 enjoy drawing, 27 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 23 children, 14 play cricket, 11 play football and 8 play both. How many play only football?
  19. 19.In a group of 28 children, 9 sing Hindi songs, 10 sing English songs and 5 sing both. How many sing at least one of the two?
  20. 20.In a group of 52 children, 25 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 44 children, 30 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  22. 22.In a group of 43 children, 32 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing only English songs?
  23. 23.In a group of 49 grown-ups, 17 drink tea, 24 drink coffee and 7 drink both. How many drink only tea?
  24. 24.In a group of 19 children, 12 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing only Hindi songs?
  25. 25.In a group of 24 children, 10 play cricket, 10 play football and 7 play both. How many play only cricket?
  26. 26.In a group of 26 children, 11 play chess, 7 play carrom and 3 play both. How many play only carrom?
  27. 27.In a group of 46 grown-ups, 31 drink tea, 18 drink coffee and 12 drink both. How many drink only tea?
  28. 28.In a group of 36 grown-ups, 21 drink tea, 6 drink coffee and 2 drink both. How many drink at least one of the two?
  29. 29.In a group of 35 children, 17 play cricket, 13 play football and 8 play both. How many play only cricket?
  30. 30.In a group of 36 children, 21 like mangoes, 17 like bananas and 11 like both. How many like neither of the two?
  31. 31.In a group of 54 children, 19 play cricket, 22 play football and 2 play both. How many play only football?
  32. 32.In a group of 17 children, 11 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 30 children, 23 play chess, 12 play carrom and 9 play both. How many play only carrom?
  34. 34.In a group of 45 children, 32 sing Hindi songs, 22 sing English songs and 12 sing both. How many sing exactly one of the two?
  35. 35.In a group of 52 children, 30 play chess, 20 play carrom and 11 play both. How many play neither of the two?
  36. 36.In a group of 52 children, 24 play cricket, 24 play football and 4 play both. How many play neither of the two?
  37. 37.In a group of 41 children, 22 play chess, 19 play carrom and 7 play both. How many play only carrom?
  38. 38.In a group of 34 children, 22 play cricket, 7 play football and 3 play both. How many play exactly one of the two?
  39. 39.In a group of 38 children, 11 play cricket, 22 play football and 2 play both. How many play neither of the two?
  40. 40.In a group of 38 children, 20 like mangoes, 17 like bananas and 4 like both. How many like exactly one of the two?

Answer key

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

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