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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 545 · 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 39 children, 25 play cricket, 20 play football and 8 play both. How many play only cricket?
  2. 2.In a group of 27 children, 18 play chess, 9 play carrom and 2 play both. How many play at least one of the two?
  3. 3.In a group of 30 children, 11 like mangoes, 19 like bananas and 2 like both. How many like exactly one of the two?
  4. 4.In a group of 18 children, 9 play chess, 8 play carrom and 4 play both. How many play exactly one of the two?
  5. 5.In a group of 48 grown-ups, 27 drink tea, 17 drink coffee and 7 drink both. How many drink at least one of the two?
  6. 6.In a group of 48 children, 16 play cricket, 28 play football and 11 play both. How many play only football?
  7. 7.In a group of 29 children, 21 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing neither of the two?
  8. 8.In a group of 44 grown-ups, 25 drink tea, 28 drink coffee and 10 drink both. How many drink at least one of the two?
  9. 9.In a group of 43 children, 26 like mangoes, 18 like bananas and 6 like both. How many like only mangoes?
  10. 10.In a group of 25 children, 8 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  11. 11.In a group of 30 children, 13 like mangoes, 11 like bananas and 3 like both. How many like exactly one of the two?
  12. 12.In a group of 44 children, 30 enjoy drawing, 19 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  13. 13.In a group of 34 children, 22 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 32 children, 10 play cricket, 17 play football and 6 play both. How many play at least one of the two?
  15. 15.In a group of 38 children, 14 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 30 grown-ups, 8 drink tea, 20 drink coffee and 3 drink both. How many drink only coffee?
  17. 17.In a group of 35 children, 19 enjoy drawing, 25 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  18. 18.In a group of 28 children, 15 sing Hindi songs, 15 sing English songs and 7 sing both. How many sing only English songs?
  19. 19.In a group of 31 grown-ups, 13 drink tea, 11 drink coffee and 8 drink both. How many drink only tea?
  20. 20.In a group of 37 children, 10 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing at least one of the two?
  21. 21.In a group of 26 children, 6 play chess, 14 play carrom and 2 play both. How many play at least one of the two?
  22. 22.In a group of 15 children, 7 like mangoes, 8 like bananas and 3 like both. How many like only bananas?
  23. 23.In a group of 34 children, 23 play cricket, 13 play football and 4 play both. How many play neither of the two?
  24. 24.In a group of 43 children, 23 play cricket, 10 play football and 3 play both. How many play only cricket?
  25. 25.In a group of 24 grown-ups, 10 drink tea, 10 drink coffee and 7 drink both. How many drink only coffee?
  26. 26.In a group of 45 children, 27 play cricket, 15 play football and 12 play both. How many play only football?
  27. 27.In a group of 22 children, 16 play cricket, 8 play football and 3 play both. How many play at least one of the two?
  28. 28.In a group of 43 children, 30 like mangoes, 18 like bananas and 10 like both. How many like neither of the two?
  29. 29.In a group of 30 children, 15 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing only English songs?
  30. 30.In a group of 37 children, 22 sing Hindi songs, 9 sing English songs and 5 sing both. How many sing only Hindi songs?
  31. 31.In a group of 43 children, 21 play chess, 13 play carrom and 2 play both. How many play neither of the two?
  32. 32.In a group of 56 children, 25 like mangoes, 30 like bananas and 12 like both. How many like only mangoes?
  33. 33.In a group of 48 grown-ups, 15 drink tea, 29 drink coffee and 10 drink both. How many drink exactly one of the two?
  34. 34.In a group of 50 children, 18 like mangoes, 25 like bananas and 8 like both. How many like only bananas?
  35. 35.In a group of 32 children, 18 like mangoes, 5 like bananas and 2 like both. How many like neither of the two?
  36. 36.In a group of 20 children, 12 like mangoes, 6 like bananas and 2 like both. How many like only mangoes?
  37. 37.In a group of 25 children, 15 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing neither of the two?
  38. 38.In a group of 31 children, 16 play chess, 15 play carrom and 7 play both. How many play exactly one of the two?
  39. 39.In a group of 35 children, 21 play cricket, 22 play football and 9 play both. How many play at least one of the two?
  40. 40.In a group of 41 children, 21 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing at least one of the two?

Answer key

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

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