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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 442 · 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 29 children, 21 like mangoes, 18 like bananas and 12 like both. How many like neither of the two?
  2. 2.In a group of 52 children, 26 play cricket, 23 play football and 8 play both. How many play exactly one of the two?
  3. 3.In a group of 49 children, 26 like mangoes, 28 like bananas and 10 like both. How many like exactly one of the two?
  4. 4.In a group of 33 grown-ups, 24 drink tea, 17 drink coffee and 11 drink both. How many drink neither of the two?
  5. 5.In a group of 31 grown-ups, 16 drink tea, 18 drink coffee and 9 drink both. How many drink at least one of the two?
  6. 6.In a group of 32 children, 15 play cricket, 15 play football and 2 play both. How many play exactly one of the two?
  7. 7.In a group of 46 children, 24 sing Hindi songs, 25 sing English songs and 5 sing both. How many sing at least one of the two?
  8. 8.In a group of 29 grown-ups, 19 drink tea, 16 drink coffee and 7 drink both. How many drink only coffee?
  9. 9.In a group of 24 children, 9 play chess, 20 play carrom and 6 play both. How many play exactly one of the two?
  10. 10.In a group of 61 children, 29 play cricket, 32 play football and 12 play both. How many play at least one of the two?
  11. 11.In a group of 39 grown-ups, 18 drink tea, 9 drink coffee and 2 drink both. How many drink at least one of the two?
  12. 12.In a group of 22 grown-ups, 15 drink tea, 13 drink coffee and 9 drink both. How many drink only tea?
  13. 13.In a group of 35 children, 23 like mangoes, 13 like bananas and 4 like both. How many like only mangoes?
  14. 14.In a group of 60 children, 27 like mangoes, 28 like bananas and 8 like both. How many like neither of the two?
  15. 15.In a group of 36 grown-ups, 11 drink tea, 20 drink coffee and 5 drink both. How many drink neither of the two?
  16. 16.In a group of 39 children, 22 like mangoes, 17 like bananas and 12 like both. How many like only mangoes?
  17. 17.In a group of 26 children, 16 enjoy drawing, 19 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  18. 18.In a group of 28 grown-ups, 16 drink tea, 12 drink coffee and 5 drink both. How many drink only tea?
  19. 19.In a group of 39 children, 7 play cricket, 22 play football and 2 play both. How many play only cricket?
  20. 20.In a group of 28 children, 16 enjoy drawing, 17 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  21. 21.In a group of 45 children, 28 play cricket, 24 play football and 9 play both. How many play neither of the two?
  22. 22.In a group of 32 children, 23 play cricket, 15 play football and 11 play both. How many play exactly one of the two?
  23. 23.In a group of 29 children, 11 play cricket, 7 play football and 3 play both. How many play neither of the two?
  24. 24.In a group of 47 grown-ups, 26 drink tea, 31 drink coffee and 11 drink both. How many drink only coffee?
  25. 25.In a group of 52 grown-ups, 23 drink tea, 29 drink coffee and 9 drink both. How many drink neither of the two?
  26. 26.In a group of 15 children, 6 sing Hindi songs, 5 sing English songs and 2 sing both. How many sing at least one of the two?
  27. 27.In a group of 23 children, 10 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing exactly one of the two?
  28. 28.In a group of 34 children, 8 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing only Hindi songs?
  29. 29.In a group of 46 children, 19 play cricket, 16 play football and 2 play both. How many play neither of the two?
  30. 30.In a group of 33 grown-ups, 15 drink tea, 21 drink coffee and 7 drink both. How many drink exactly one of the two?
  31. 31.In a group of 35 children, 9 play cricket, 21 play football and 6 play both. How many play only cricket?
  32. 32.In a group of 32 children, 15 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  33. 33.In a group of 36 children, 16 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 43 children, 15 play cricket, 18 play football and 4 play both. How many play at least one of the two?
  35. 35.In a group of 38 children, 17 play chess, 22 play carrom and 8 play both. How many play neither of the two?
  36. 36.In a group of 35 grown-ups, 11 drink tea, 13 drink coffee and 3 drink both. How many drink neither of the two?
  37. 37.In a group of 41 children, 18 play cricket, 10 play football and 2 play both. How many play only cricket?
  38. 38.In a group of 47 children, 26 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing only English songs?
  39. 39.In a group of 35 children, 17 play cricket, 19 play football and 4 play both. How many play only football?
  40. 40.In a group of 46 children, 21 enjoy drawing, 19 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?

Answer key

  1. 2
  2. 33
  3. 34
  4. 3
  5. 25
  6. 26
  7. 44
  8. 9
  9. 17
  10. 49
  11. 25
  12. 6
  13. 19
  14. 13
  15. 10
  16. 10
  17. 13
  18. 11
  19. 5
  20. 24
  21. 2
  22. 16
  23. 14
  24. 20
  25. 9
  26. 9
  27. 16
  28. 3
  29. 13
  30. 22
  31. 3
  32. 3
  33. 13
  34. 29
  35. 7
  36. 14
  37. 16
  38. 8
  39. 15
  40. 14

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