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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 272 · 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 34 children, 22 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing exactly one of the two?
  2. 2.In a group of 41 children, 18 like mangoes, 27 like bananas and 11 like both. How many like only mangoes?
  3. 3.In a group of 30 children, 14 play cricket, 16 play football and 6 play both. How many play neither of the two?
  4. 4.In a group of 28 children, 16 play cricket, 14 play football and 10 play both. How many play only football?
  5. 5.In a group of 32 children, 16 play cricket, 18 play football and 10 play both. How many play only football?
  6. 6.In a group of 30 children, 16 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 30 children, 11 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing at least one of the two?
  8. 8.In a group of 33 children, 25 play chess, 16 play carrom and 12 play both. How many play exactly one of the two?
  9. 9.In a group of 25 children, 17 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing neither of the two?
  10. 10.In a group of 36 grown-ups, 7 drink tea, 24 drink coffee and 4 drink both. How many drink only coffee?
  11. 11.In a group of 59 grown-ups, 27 drink tea, 27 drink coffee and 10 drink both. How many drink neither of the two?
  12. 12.In a group of 41 children, 12 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing only English songs?
  13. 13.In a group of 33 children, 22 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing only Hindi songs?
  14. 14.In a group of 36 grown-ups, 20 drink tea, 13 drink coffee and 10 drink both. How many drink neither of the two?
  15. 15.In a group of 23 children, 16 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing exactly one of the two?
  16. 16.In a group of 46 grown-ups, 19 drink tea, 17 drink coffee and 5 drink both. How many drink at least one of the two?
  17. 17.In a group of 24 grown-ups, 19 drink tea, 15 drink coffee and 12 drink both. How many drink only tea?
  18. 18.In a group of 30 children, 15 play chess, 22 play carrom and 11 play both. How many play only carrom?
  19. 19.In a group of 32 children, 18 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing only Hindi songs?
  20. 20.In a group of 47 children, 22 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing only English songs?
  21. 21.In a group of 31 children, 11 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 30 children, 23 play cricket, 11 play football and 6 play both. How many play only cricket?
  23. 23.In a group of 29 children, 19 like mangoes, 17 like bananas and 10 like both. How many like only bananas?
  24. 24.In a group of 39 children, 9 like mangoes, 21 like bananas and 3 like both. How many like at least one of the two?
  25. 25.In a group of 21 children, 8 like mangoes, 8 like bananas and 3 like both. How many like exactly one of the two?
  26. 26.In a group of 41 grown-ups, 23 drink tea, 22 drink coffee and 9 drink both. How many drink only tea?
  27. 27.In a group of 37 grown-ups, 12 drink tea, 28 drink coffee and 8 drink both. How many drink only tea?
  28. 28.In a group of 36 children, 21 play cricket, 11 play football and 2 play both. How many play at least one of the two?
  29. 29.In a group of 34 grown-ups, 13 drink tea, 16 drink coffee and 4 drink both. How many drink neither of the two?
  30. 30.In a group of 34 children, 20 sing Hindi songs, 15 sing English songs and 2 sing both. How many sing at least one of the two?
  31. 31.In a group of 39 grown-ups, 22 drink tea, 15 drink coffee and 6 drink both. How many drink neither of the two?
  32. 32.In a group of 44 children, 14 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing at least one of the two?
  33. 33.In a group of 37 children, 26 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing exactly one of the two?
  34. 34.In a group of 33 children, 22 play cricket, 15 play football and 7 play both. How many play exactly one of the two?
  35. 35.In a group of 25 children, 14 sing Hindi songs, 18 sing English songs and 10 sing both. How many sing neither of the two?
  36. 36.In a group of 32 children, 26 enjoy drawing, 15 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 27 children, 17 play chess, 18 play carrom and 10 play both. How many play neither of the two?
  38. 38.In a group of 41 children, 19 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  39. 39.In a group of 33 children, 15 sing Hindi songs, 11 sing English songs and 6 sing both. How many sing only Hindi songs?
  40. 40.In a group of 34 children, 17 play cricket, 24 play football and 9 play both. How many play only football?

Answer key

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

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