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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 446 · 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 42 children, 17 play chess, 25 play carrom and 9 play both. How many play only carrom?
  2. 2.In a group of 20 children, 11 play cricket, 12 play football and 7 play both. How many play exactly one of the two?
  3. 3.In a group of 37 children, 13 sing Hindi songs, 17 sing English songs and 2 sing both. How many sing only English songs?
  4. 4.In a group of 50 children, 23 play cricket, 23 play football and 11 play both. How many play only football?
  5. 5.In a group of 36 children, 26 play cricket, 14 play football and 6 play both. How many play exactly one of the two?
  6. 6.In a group of 42 children, 23 sing Hindi songs, 23 sing English songs and 6 sing both. How many sing only English songs?
  7. 7.In a group of 49 grown-ups, 29 drink tea, 15 drink coffee and 9 drink both. How many drink only coffee?
  8. 8.In a group of 24 grown-ups, 14 drink tea, 16 drink coffee and 7 drink both. How many drink at least one of the two?
  9. 9.In a group of 26 children, 12 sing Hindi songs, 14 sing English songs and 5 sing both. How many sing exactly one of the two?
  10. 10.In a group of 24 children, 10 like mangoes, 9 like bananas and 4 like both. How many like only mangoes?
  11. 11.In a group of 34 children, 22 play chess, 14 play carrom and 7 play both. How many play only carrom?
  12. 12.In a group of 23 children, 15 play cricket, 13 play football and 6 play both. How many play at least one of the two?
  13. 13.In a group of 48 children, 17 play chess, 26 play carrom and 10 play both. How many play neither of the two?
  14. 14.In a group of 45 children, 25 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing only English songs?
  15. 15.In a group of 41 children, 26 sing Hindi songs, 17 sing English songs and 8 sing both. How many sing only Hindi songs?
  16. 16.In a group of 54 children, 27 enjoy drawing, 29 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 33 children, 17 enjoy drawing, 15 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  18. 18.In a group of 26 grown-ups, 20 drink tea, 16 drink coffee and 11 drink both. How many drink exactly one of the two?
  19. 19.In a group of 41 children, 23 sing Hindi songs, 17 sing English songs and 6 sing both. How many sing only English songs?
  20. 20.In a group of 24 children, 12 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  21. 21.In a group of 28 grown-ups, 23 drink tea, 7 drink coffee and 3 drink both. How many drink at least one of the two?
  22. 22.In a group of 34 children, 15 play cricket, 15 play football and 10 play both. How many play at least one of the two?
  23. 23.In a group of 27 children, 9 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  24. 24.In a group of 34 children, 8 enjoy drawing, 22 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  25. 25.In a group of 37 children, 25 like mangoes, 14 like bananas and 6 like both. How many like only mangoes?
  26. 26.In a group of 36 children, 13 enjoy drawing, 16 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  27. 27.In a group of 24 grown-ups, 19 drink tea, 10 drink coffee and 6 drink both. How many drink exactly one of the two?
  28. 28.In a group of 38 children, 24 enjoy drawing, 11 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 23 children, 13 play chess, 8 play carrom and 3 play both. How many play neither of the two?
  30. 30.In a group of 36 children, 22 play chess, 18 play carrom and 5 play both. How many play exactly one of the two?
  31. 31.In a group of 41 grown-ups, 24 drink tea, 21 drink coffee and 8 drink both. How many drink only tea?
  32. 32.In a group of 49 grown-ups, 16 drink tea, 21 drink coffee and 2 drink both. How many drink only coffee?
  33. 33.In a group of 28 grown-ups, 20 drink tea, 15 drink coffee and 11 drink both. How many drink neither of the two?
  34. 34.In a group of 50 children, 26 play cricket, 25 play football and 8 play both. How many play only cricket?
  35. 35.In a group of 42 children, 18 enjoy drawing, 16 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 32 children, 23 play chess, 11 play carrom and 5 play both. How many play at least one of the two?
  37. 37.In a group of 30 children, 14 like mangoes, 17 like bananas and 2 like both. How many like at least one of the two?
  38. 38.In a group of 31 children, 9 play chess, 18 play carrom and 2 play both. How many play at least one of the two?
  39. 39.In a group of 33 children, 18 play chess, 18 play carrom and 4 play both. How many play only carrom?
  40. 40.In a group of 35 children, 15 play chess, 26 play carrom and 8 play both. How many play exactly one of the two?

Answer key

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

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