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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 624 · 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 27 children, 11 play chess, 18 play carrom and 5 play both. How many play exactly one of the two?
  2. 2.In a group of 46 children, 16 play cricket, 25 play football and 7 play both. How many play only football?
  3. 3.In a group of 34 children, 11 play chess, 23 play carrom and 4 play both. How many play at least one of the two?
  4. 4.In a group of 38 children, 16 play chess, 23 play carrom and 5 play both. How many play only chess?
  5. 5.In a group of 42 children, 21 play cricket, 13 play football and 7 play both. How many play at least one of the two?
  6. 6.In a group of 34 children, 15 play cricket, 9 play football and 3 play both. How many play only football?
  7. 7.In a group of 32 children, 24 play cricket, 15 play football and 12 play both. How many play at least one of the two?
  8. 8.In a group of 50 children, 17 enjoy drawing, 26 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  9. 9.In a group of 36 children, 25 sing Hindi songs, 14 sing English songs and 8 sing both. How many sing neither of the two?
  10. 10.In a group of 51 children, 28 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing at least one of the two?
  11. 11.In a group of 29 children, 17 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing only Hindi songs?
  12. 12.In a group of 28 children, 8 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 27 children, 7 like mangoes, 10 like bananas and 4 like both. How many like at least one of the two?
  14. 14.In a group of 42 children, 17 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  15. 15.In a group of 30 children, 14 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 32 children, 14 like mangoes, 20 like bananas and 9 like both. How many like only mangoes?
  17. 17.In a group of 35 children, 16 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  18. 18.In a group of 33 children, 23 play cricket, 16 play football and 7 play both. How many play at least one of the two?
  19. 19.In a group of 34 children, 18 play cricket, 18 play football and 5 play both. How many play neither of the two?
  20. 20.In a group of 32 children, 19 play chess, 17 play carrom and 5 play both. How many play only chess?
  21. 21.In a group of 35 children, 13 play cricket, 24 play football and 5 play both. How many play only cricket?
  22. 22.In a group of 46 grown-ups, 13 drink tea, 26 drink coffee and 6 drink both. How many drink only coffee?
  23. 23.In a group of 30 children, 10 sing Hindi songs, 19 sing English songs and 6 sing both. How many sing neither of the two?
  24. 24.In a group of 20 children, 10 play cricket, 6 play football and 3 play both. How many play only football?
  25. 25.In a group of 45 children, 25 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  26. 26.In a group of 50 children, 15 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 35 children, 18 like mangoes, 12 like bananas and 4 like both. How many like neither of the two?
  28. 28.In a group of 53 children, 28 play chess, 27 play carrom and 9 play both. How many play at least one of the two?
  29. 29.In a group of 42 grown-ups, 27 drink tea, 10 drink coffee and 7 drink both. How many drink only coffee?
  30. 30.In a group of 48 children, 20 sing Hindi songs, 26 sing English songs and 8 sing both. How many sing only Hindi songs?
  31. 31.In a group of 28 grown-ups, 16 drink tea, 20 drink coffee and 11 drink both. How many drink only tea?
  32. 32.In a group of 47 children, 19 enjoy drawing, 27 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  33. 33.In a group of 40 grown-ups, 26 drink tea, 19 drink coffee and 6 drink both. How many drink only tea?
  34. 34.In a group of 43 children, 21 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  35. 35.In a group of 48 grown-ups, 28 drink tea, 27 drink coffee and 10 drink both. How many drink only coffee?
  36. 36.In a group of 52 grown-ups, 23 drink tea, 22 drink coffee and 5 drink both. How many drink neither of the two?
  37. 37.In a group of 48 grown-ups, 16 drink tea, 24 drink coffee and 5 drink both. How many drink exactly one of the two?
  38. 38.In a group of 32 children, 23 play chess, 18 play carrom and 11 play both. How many play neither of the two?
  39. 39.In a group of 37 grown-ups, 15 drink tea, 32 drink coffee and 12 drink both. How many drink only tea?
  40. 40.In a group of 51 grown-ups, 18 drink tea, 25 drink coffee and 7 drink both. How many drink at least one of the two?

Answer key

  1. 19
  2. 18
  3. 30
  4. 11
  5. 27
  6. 6
  7. 27
  8. 15
  9. 5
  10. 43
  11. 13
  12. 6
  13. 13
  14. 16
  15. 9
  16. 5
  17. 6
  18. 32
  19. 3
  20. 14
  21. 8
  22. 20
  23. 7
  24. 3
  25. 14
  26. 20
  27. 9
  28. 46
  29. 3
  30. 12
  31. 5
  32. 38
  33. 20
  34. 18
  35. 17
  36. 12
  37. 30
  38. 2
  39. 3
  40. 36

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