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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 344 · 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 28 grown-ups, 13 drink tea, 17 drink coffee and 6 drink both. How many drink at least one of the two?
  2. 2.In a group of 31 children, 21 like mangoes, 14 like bananas and 8 like both. How many like at least one of the two?
  3. 3.In a group of 29 children, 15 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing exactly one of the two?
  4. 4.In a group of 26 children, 12 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 45 children, 16 play chess, 26 play carrom and 7 play both. How many play at least one of the two?
  6. 6.In a group of 46 children, 19 sing Hindi songs, 31 sing English songs and 12 sing both. How many sing only English songs?
  7. 7.In a group of 17 grown-ups, 8 drink tea, 11 drink coffee and 3 drink both. How many drink only coffee?
  8. 8.In a group of 32 children, 21 like mangoes, 15 like bananas and 6 like both. How many like only mangoes?
  9. 9.In a group of 26 children, 16 play cricket, 19 play football and 12 play both. How many play only cricket?
  10. 10.In a group of 20 children, 15 enjoy drawing, 5 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  11. 11.In a group of 35 children, 7 sing Hindi songs, 21 sing English songs and 2 sing both. How many sing neither of the two?
  12. 12.In a group of 25 grown-ups, 13 drink tea, 16 drink coffee and 8 drink both. How many drink exactly one of the two?
  13. 13.In a group of 32 children, 10 play cricket, 14 play football and 4 play both. How many play exactly one of the two?
  14. 14.In a group of 28 grown-ups, 9 drink tea, 15 drink coffee and 3 drink both. How many drink only tea?
  15. 15.In a group of 32 grown-ups, 21 drink tea, 15 drink coffee and 6 drink both. How many drink only coffee?
  16. 16.In a group of 46 children, 22 play cricket, 19 play football and 7 play both. How many play at least one of the two?
  17. 17.In a group of 24 children, 7 play cricket, 11 play football and 4 play both. How many play only football?
  18. 18.In a group of 41 children, 28 play cricket, 16 play football and 11 play both. How many play only cricket?
  19. 19.In a group of 48 children, 14 play cricket, 30 play football and 11 play both. How many play at least one of the two?
  20. 20.In a group of 33 children, 9 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing exactly one of the two?
  21. 21.In a group of 48 children, 20 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing at least one of the two?
  22. 22.In a group of 44 children, 14 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing exactly one of the two?
  23. 23.In a group of 47 children, 14 play chess, 22 play carrom and 4 play both. How many play only carrom?
  24. 24.In a group of 42 children, 23 enjoy drawing, 20 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  25. 25.In a group of 25 children, 10 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing at least one of the two?
  26. 26.In a group of 35 children, 10 like mangoes, 17 like bananas and 4 like both. How many like at least one of the two?
  27. 27.In a group of 22 children, 14 play chess, 17 play carrom and 11 play both. How many play only carrom?
  28. 28.In a group of 39 children, 14 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 52 children, 29 play chess, 19 play carrom and 9 play both. How many play exactly one of the two?
  30. 30.In a group of 58 grown-ups, 29 drink tea, 25 drink coffee and 11 drink both. How many drink at least one of the two?
  31. 31.In a group of 35 children, 12 enjoy drawing, 15 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  32. 32.In a group of 33 children, 12 play cricket, 18 play football and 8 play both. How many play neither of the two?
  33. 33.In a group of 40 children, 24 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing only Hindi songs?
  34. 34.In a group of 40 children, 19 like mangoes, 10 like bananas and 3 like both. How many like only mangoes?
  35. 35.In a group of 50 children, 24 like mangoes, 16 like bananas and 5 like both. How many like exactly one of the two?
  36. 36.In a group of 50 children, 16 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 36 children, 22 play cricket, 10 play football and 4 play both. How many play only cricket?
  38. 38.In a group of 27 children, 13 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 31 children, 20 enjoy drawing, 11 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 23 children, 14 play cricket, 11 play football and 6 play both. How many play only football?

Answer key

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

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