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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 515 · 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 57 grown-ups, 24 drink tea, 28 drink coffee and 8 drink both. How many drink at least one of the two?
  2. 2.In a group of 48 children, 16 like mangoes, 32 like bananas and 12 like both. How many like only bananas?
  3. 3.In a group of 38 children, 21 play chess, 18 play carrom and 4 play both. How many play neither of the two?
  4. 4.In a group of 35 children, 18 play chess, 5 play carrom and 2 play both. How many play only carrom?
  5. 5.In a group of 37 children, 22 play cricket, 13 play football and 5 play both. How many play only cricket?
  6. 6.In a group of 33 children, 14 play chess, 14 play carrom and 8 play both. How many play only carrom?
  7. 7.In a group of 32 children, 12 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  8. 8.In a group of 24 children, 15 play cricket, 16 play football and 9 play both. How many play exactly one of the two?
  9. 9.In a group of 28 children, 15 like mangoes, 20 like bananas and 11 like both. How many like neither of the two?
  10. 10.In a group of 29 children, 17 sing Hindi songs, 12 sing English songs and 6 sing both. How many sing at least one of the two?
  11. 11.In a group of 39 children, 30 sing Hindi songs, 15 sing English songs and 11 sing both. How many sing only Hindi songs?
  12. 12.In a group of 39 children, 22 play cricket, 14 play football and 7 play both. How many play only football?
  13. 13.In a group of 29 children, 20 enjoy drawing, 12 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  14. 14.In a group of 31 children, 11 like mangoes, 13 like bananas and 2 like both. How many like only mangoes?
  15. 15.In a group of 36 children, 26 like mangoes, 17 like bananas and 11 like both. How many like only bananas?
  16. 16.In a group of 43 children, 24 like mangoes, 9 like bananas and 4 like both. How many like only mangoes?
  17. 17.In a group of 19 grown-ups, 8 drink tea, 8 drink coffee and 5 drink both. How many drink exactly one of the two?
  18. 18.In a group of 39 children, 11 sing Hindi songs, 23 sing English songs and 5 sing both. How many sing exactly one of the two?
  19. 19.In a group of 32 grown-ups, 11 drink tea, 19 drink coffee and 5 drink both. How many drink at least one of the two?
  20. 20.In a group of 41 children, 24 play chess, 22 play carrom and 7 play both. How many play neither of the two?
  21. 21.In a group of 44 children, 24 play cricket, 14 play football and 7 play both. How many play only football?
  22. 22.In a group of 53 children, 25 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  23. 23.In a group of 35 children, 19 play cricket, 11 play football and 8 play both. How many play only cricket?
  24. 24.In a group of 27 children, 19 sing Hindi songs, 8 sing English songs and 5 sing both. How many sing only English songs?
  25. 25.In a group of 55 children, 22 like mangoes, 23 like bananas and 4 like both. How many like only bananas?
  26. 26.In a group of 36 children, 22 play cricket, 13 play football and 8 play both. How many play neither of the two?
  27. 27.In a group of 22 children, 14 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing only Hindi songs?
  28. 28.In a group of 58 grown-ups, 29 drink tea, 30 drink coffee and 10 drink both. How many drink exactly one of the two?
  29. 29.In a group of 23 children, 11 like mangoes, 12 like bananas and 6 like both. How many like only mangoes?
  30. 30.In a group of 44 grown-ups, 24 drink tea, 23 drink coffee and 9 drink both. How many drink neither of the two?
  31. 31.In a group of 29 grown-ups, 18 drink tea, 15 drink coffee and 8 drink both. How many drink exactly one of the two?
  32. 32.In a group of 48 children, 27 play cricket, 21 play football and 8 play both. How many play only football?
  33. 33.In a group of 34 children, 10 like mangoes, 19 like bananas and 5 like both. How many like exactly one of the two?
  34. 34.In a group of 34 children, 13 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing only English songs?
  35. 35.In a group of 42 children, 18 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 29 children, 19 enjoy drawing, 14 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  37. 37.In a group of 39 children, 20 play cricket, 21 play football and 4 play both. How many play neither of the two?
  38. 38.In a group of 45 children, 25 play chess, 19 play carrom and 6 play both. How many play at least one of the two?
  39. 39.In a group of 49 children, 20 sing Hindi songs, 24 sing English songs and 5 sing both. How many sing at least one of the two?
  40. 40.In a group of 32 children, 14 play chess, 17 play carrom and 5 play both. How many play at least one of the two?

Answer key

  1. 44
  2. 20
  3. 3
  4. 3
  5. 17
  6. 6
  7. 10
  8. 13
  9. 4
  10. 23
  11. 19
  12. 7
  13. 14
  14. 9
  15. 6
  16. 20
  17. 6
  18. 24
  19. 25
  20. 2
  21. 7
  22. 42
  23. 11
  24. 3
  25. 19
  26. 9
  27. 6
  28. 39
  29. 5
  30. 6
  31. 17
  32. 13
  33. 19
  34. 15
  35. 31
  36. 24
  37. 2
  38. 38
  39. 39
  40. 26

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