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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 544 · 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 grown-ups, 12 drink tea, 17 drink coffee and 5 drink both. How many drink neither of the two?
  2. 2.In a group of 41 children, 22 sing Hindi songs, 9 sing English songs and 4 sing both. How many sing exactly one of the two?
  3. 3.In a group of 49 children, 21 play cricket, 22 play football and 7 play both. How many play neither of the two?
  4. 4.In a group of 35 children, 11 play chess, 18 play carrom and 2 play both. How many play exactly one of the two?
  5. 5.In a group of 30 children, 6 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing at least one of the two?
  6. 6.In a group of 33 grown-ups, 21 drink tea, 9 drink coffee and 3 drink both. How many drink only coffee?
  7. 7.In a group of 26 children, 13 like mangoes, 14 like bananas and 4 like both. How many like exactly one of the two?
  8. 8.In a group of 26 children, 10 play chess, 11 play carrom and 3 play both. How many play only carrom?
  9. 9.In a group of 47 children, 27 sing Hindi songs, 23 sing English songs and 12 sing both. How many sing at least one of the two?
  10. 10.In a group of 33 children, 13 play chess, 21 play carrom and 7 play both. How many play only chess?
  11. 11.In a group of 41 children, 25 play cricket, 15 play football and 8 play both. How many play only football?
  12. 12.In a group of 53 grown-ups, 25 drink tea, 21 drink coffee and 8 drink both. How many drink neither of the two?
  13. 13.In a group of 38 grown-ups, 25 drink tea, 17 drink coffee and 7 drink both. How many drink only tea?
  14. 14.In a group of 30 grown-ups, 15 drink tea, 23 drink coffee and 9 drink both. How many drink only tea?
  15. 15.In a group of 39 children, 11 enjoy drawing, 21 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 47 children, 15 play cricket, 20 play football and 3 play both. How many play neither of the two?
  17. 17.In a group of 40 children, 16 play chess, 29 play carrom and 9 play both. How many play neither of the two?
  18. 18.In a group of 36 children, 9 like mangoes, 20 like bananas and 4 like both. How many like only mangoes?
  19. 19.In a group of 28 children, 14 like mangoes, 6 like bananas and 3 like both. How many like only bananas?
  20. 20.In a group of 31 children, 23 like mangoes, 8 like bananas and 3 like both. How many like only mangoes?
  21. 21.In a group of 36 children, 21 like mangoes, 10 like bananas and 3 like both. How many like only bananas?
  22. 22.In a group of 38 children, 18 play cricket, 16 play football and 6 play both. How many play only football?
  23. 23.In a group of 44 children, 19 like mangoes, 21 like bananas and 10 like both. How many like exactly one of the two?
  24. 24.In a group of 27 grown-ups, 11 drink tea, 12 drink coffee and 6 drink both. How many drink exactly one of the two?
  25. 25.In a group of 44 children, 17 play chess, 21 play carrom and 2 play both. How many play only chess?
  26. 26.In a group of 46 children, 18 play chess, 26 play carrom and 7 play both. How many play only carrom?
  27. 27.In a group of 27 children, 14 play chess, 17 play carrom and 7 play both. How many play at least one of the two?
  28. 28.In a group of 25 grown-ups, 8 drink tea, 18 drink coffee and 4 drink both. How many drink only coffee?
  29. 29.In a group of 26 grown-ups, 6 drink tea, 14 drink coffee and 3 drink both. How many drink neither of the two?
  30. 30.In a group of 25 children, 9 like mangoes, 19 like bananas and 6 like both. How many like only bananas?
  31. 31.In a group of 38 children, 20 like mangoes, 16 like bananas and 4 like both. How many like only mangoes?
  32. 32.In a group of 39 children, 16 sing Hindi songs, 13 sing English songs and 4 sing both. How many sing only English songs?
  33. 33.In a group of 32 grown-ups, 18 drink tea, 17 drink coffee and 4 drink both. How many drink neither of the two?
  34. 34.In a group of 27 grown-ups, 15 drink tea, 12 drink coffee and 6 drink both. How many drink at least one of the two?
  35. 35.In a group of 38 children, 20 play chess, 20 play carrom and 5 play both. How many play at least one of the two?
  36. 36.In a group of 54 children, 25 enjoy drawing, 23 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  37. 37.In a group of 29 children, 19 play cricket, 9 play football and 2 play both. How many play neither of the two?
  38. 38.In a group of 24 children, 8 play cricket, 5 play football and 2 play both. How many play only football?
  39. 39.In a group of 38 children, 18 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  40. 40.In a group of 41 children, 15 play cricket, 23 play football and 3 play both. How many play neither of the two?

Answer key

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

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