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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 42 · 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 50 grown-ups, 26 drink tea, 23 drink coffee and 11 drink both. How many drink only tea?
  2. 2.In a group of 28 grown-ups, 17 drink tea, 18 drink coffee and 10 drink both. How many drink at least one of the two?
  3. 3.In a group of 34 grown-ups, 13 drink tea, 24 drink coffee and 5 drink both. How many drink only tea?
  4. 4.In a group of 28 children, 19 play chess, 8 play carrom and 5 play both. How many play at least one of the two?
  5. 5.In a group of 40 children, 23 sing Hindi songs, 21 sing English songs and 7 sing both. How many sing only English songs?
  6. 6.In a group of 55 children, 25 play cricket, 23 play football and 6 play both. How many play at least one of the two?
  7. 7.In a group of 25 children, 18 like mangoes, 7 like bananas and 2 like both. How many like only mangoes?
  8. 8.In a group of 35 children, 10 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 33 children, 21 play cricket, 22 play football and 11 play both. How many play exactly one of the two?
  10. 10.In a group of 36 children, 22 play cricket, 25 play football and 12 play both. How many play neither of the two?
  11. 11.In a group of 33 children, 15 sing Hindi songs, 12 sing English songs and 5 sing both. How many sing neither of the two?
  12. 12.In a group of 50 children, 26 play chess, 31 play carrom and 11 play both. How many play neither of the two?
  13. 13.In a group of 37 children, 13 play cricket, 18 play football and 3 play both. How many play only football?
  14. 14.In a group of 16 children, 9 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  15. 15.In a group of 48 children, 18 sing Hindi songs, 28 sing English songs and 12 sing both. How many sing at least one of the two?
  16. 16.In a group of 46 grown-ups, 13 drink tea, 22 drink coffee and 2 drink both. How many drink exactly one of the two?
  17. 17.In a group of 32 children, 15 enjoy drawing, 13 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  18. 18.In a group of 36 children, 21 play cricket, 14 play football and 9 play both. How many play neither of the two?
  19. 19.In a group of 43 children, 21 sing Hindi songs, 27 sing English songs and 7 sing both. How many sing neither of the two?
  20. 20.In a group of 40 children, 17 play chess, 13 play carrom and 4 play both. How many play neither of the two?
  21. 21.In a group of 45 children, 27 enjoy drawing, 16 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 27 children, 14 play cricket, 18 play football and 10 play both. How many play only football?
  23. 23.In a group of 38 children, 20 sing Hindi songs, 23 sing English songs and 7 sing both. How many sing only Hindi songs?
  24. 24.In a group of 43 children, 18 play cricket, 20 play football and 8 play both. How many play only cricket?
  25. 25.In a group of 43 children, 26 sing Hindi songs, 24 sing English songs and 9 sing both. How many sing exactly one of the two?
  26. 26.In a group of 38 children, 15 play cricket, 17 play football and 3 play both. How many play only football?
  27. 27.In a group of 22 children, 12 play cricket, 12 play football and 5 play both. How many play only football?
  28. 28.In a group of 47 grown-ups, 26 drink tea, 23 drink coffee and 12 drink both. How many drink only tea?
  29. 29.In a group of 33 grown-ups, 22 drink tea, 13 drink coffee and 3 drink both. How many drink exactly one of the two?
  30. 30.In a group of 39 children, 17 play cricket, 20 play football and 6 play both. How many play only cricket?
  31. 31.In a group of 26 children, 11 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 24 children, 13 enjoy drawing, 12 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 57 children, 23 like mangoes, 24 like bananas and 4 like both. How many like neither of the two?
  34. 34.In a group of 45 grown-ups, 22 drink tea, 21 drink coffee and 8 drink both. How many drink only tea?
  35. 35.In a group of 32 children, 21 play chess, 7 play carrom and 3 play both. How many play neither of the two?
  36. 36.In a group of 45 children, 23 play cricket, 21 play football and 6 play both. How many play only cricket?
  37. 37.In a group of 38 children, 15 sing Hindi songs, 19 sing English songs and 2 sing both. How many sing only Hindi songs?
  38. 38.In a group of 30 children, 17 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing only English songs?
  39. 39.In a group of 18 children, 9 play cricket, 8 play football and 4 play both. How many play exactly one of the two?
  40. 40.In a group of 33 children, 14 play cricket, 24 play football and 11 play both. How many play only football?

Answer key

  1. 15
  2. 25
  3. 8
  4. 22
  5. 14
  6. 42
  7. 16
  8. 28
  9. 21
  10. 1
  11. 11
  12. 4
  13. 15
  14. 14
  15. 34
  16. 31
  17. 6
  18. 10
  19. 2
  20. 14
  21. 32
  22. 8
  23. 13
  24. 10
  25. 32
  26. 14
  27. 7
  28. 14
  29. 29
  30. 11
  31. 12
  32. 22
  33. 14
  34. 14
  35. 7
  36. 17
  37. 13
  38. 4
  39. 9
  40. 13

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