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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 372 · 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, 17 play cricket, 27 play football and 11 play both. How many play only football?
  2. 2.In a group of 31 children, 14 play chess, 17 play carrom and 9 play both. How many play only chess?
  3. 3.In a group of 36 children, 16 play cricket, 24 play football and 5 play both. How many play neither of the two?
  4. 4.In a group of 24 children, 13 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing only Hindi songs?
  5. 5.In a group of 26 grown-ups, 6 drink tea, 18 drink coffee and 3 drink both. How many drink only tea?
  6. 6.In a group of 47 children, 22 like mangoes, 13 like bananas and 3 like both. How many like exactly one of the two?
  7. 7.In a group of 34 grown-ups, 17 drink tea, 26 drink coffee and 11 drink both. How many drink exactly one of the two?
  8. 8.In a group of 26 children, 11 sing Hindi songs, 15 sing English songs and 4 sing both. How many sing only English songs?
  9. 9.In a group of 44 children, 16 play cricket, 21 play football and 3 play both. How many play only football?
  10. 10.In a group of 34 children, 25 sing Hindi songs, 16 sing English songs and 12 sing both. How many sing only Hindi songs?
  11. 11.In a group of 33 children, 19 play cricket, 13 play football and 2 play both. How many play exactly one of the two?
  12. 12.In a group of 45 children, 15 sing Hindi songs, 23 sing English songs and 6 sing both. How many sing only Hindi songs?
  13. 13.In a group of 40 children, 15 enjoy drawing, 19 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  14. 14.In a group of 35 grown-ups, 10 drink tea, 23 drink coffee and 4 drink both. How many drink only coffee?
  15. 15.In a group of 33 children, 15 sing Hindi songs, 10 sing English songs and 3 sing both. How many sing only Hindi songs?
  16. 16.In a group of 20 children, 8 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing at least one of the two?
  17. 17.In a group of 47 grown-ups, 23 drink tea, 27 drink coffee and 10 drink both. How many drink at least one of the two?
  18. 18.In a group of 25 children, 11 like mangoes, 17 like bananas and 7 like both. How many like only mangoes?
  19. 19.In a group of 44 children, 13 like mangoes, 29 like bananas and 10 like both. How many like neither of the two?
  20. 20.In a group of 30 children, 22 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing exactly one of the two?
  21. 21.In a group of 40 children, 16 play chess, 15 play carrom and 2 play both. How many play only chess?
  22. 22.In a group of 19 grown-ups, 9 drink tea, 11 drink coffee and 3 drink both. How many drink at least one of the two?
  23. 23.In a group of 38 children, 14 play cricket, 17 play football and 5 play both. How many play only cricket?
  24. 24.In a group of 37 children, 20 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 42 children, 14 play chess, 23 play carrom and 10 play both. How many play only chess?
  26. 26.In a group of 16 children, 9 play cricket, 6 play football and 2 play both. How many play only cricket?
  27. 27.In a group of 29 children, 13 enjoy drawing, 17 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  28. 28.In a group of 23 children, 11 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing neither of the two?
  29. 29.In a group of 15 children, 8 play cricket, 6 play football and 2 play both. How many play at least one of the two?
  30. 30.In a group of 37 children, 14 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 20 children, 8 play cricket, 10 play football and 5 play both. How many play only cricket?
  32. 32.In a group of 41 grown-ups, 16 drink tea, 27 drink coffee and 10 drink both. How many drink at least one of the two?
  33. 33.In a group of 45 children, 28 play cricket, 27 play football and 12 play both. How many play only football?
  34. 34.In a group of 37 children, 14 play cricket, 18 play football and 9 play both. How many play only football?
  35. 35.In a group of 25 children, 17 play cricket, 13 play football and 10 play both. How many play only football?
  36. 36.In a group of 34 grown-ups, 22 drink tea, 16 drink coffee and 5 drink both. How many drink neither of the two?
  37. 37.In a group of 46 children, 26 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  38. 38.In a group of 31 children, 9 play cricket, 20 play football and 4 play both. How many play neither of the two?
  39. 39.In a group of 42 children, 16 play cricket, 21 play football and 7 play both. How many play at least one of the two?
  40. 40.In a group of 23 children, 13 like mangoes, 9 like bananas and 3 like both. How many like only bananas?

Answer key

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

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