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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 364 · 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 children, 13 play cricket, 10 play football and 5 play both. How many play only football?
  2. 2.In a group of 34 children, 12 sing Hindi songs, 15 sing English songs and 8 sing both. How many sing at least one of the two?
  3. 3.In a group of 52 children, 29 enjoy drawing, 19 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 26 children, 11 sing Hindi songs, 16 sing English songs and 3 sing both. How many sing neither of the two?
  5. 5.In a group of 28 children, 9 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing exactly one of the two?
  6. 6.In a group of 55 children, 25 like mangoes, 26 like bananas and 7 like both. How many like at least one of the two?
  7. 7.In a group of 39 children, 21 play chess, 12 play carrom and 3 play both. How many play exactly one of the two?
  8. 8.In a group of 37 children, 25 play cricket, 19 play football and 9 play both. How many play exactly one of the two?
  9. 9.In a group of 30 children, 8 play cricket, 11 play football and 2 play both. How many play at least one of the two?
  10. 10.In a group of 42 children, 24 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing neither of the two?
  11. 11.In a group of 57 children, 26 enjoy drawing, 26 enjoy dancing and 7 enjoy both. How many enjoy only drawing?
  12. 12.In a group of 32 children, 20 play cricket, 12 play football and 9 play both. How many play only football?
  13. 13.In a group of 20 children, 5 enjoy drawing, 9 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  14. 14.In a group of 34 children, 8 like mangoes, 22 like bananas and 4 like both. How many like exactly one of the two?
  15. 15.In a group of 39 children, 13 play cricket, 20 play football and 5 play both. How many play at least one of the two?
  16. 16.In a group of 36 children, 22 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  17. 17.In a group of 38 grown-ups, 26 drink tea, 17 drink coffee and 7 drink both. How many drink neither of the two?
  18. 18.In a group of 40 grown-ups, 23 drink tea, 13 drink coffee and 4 drink both. How many drink at least one of the two?
  19. 19.In a group of 39 children, 12 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 37 children, 14 play cricket, 14 play football and 4 play both. How many play only football?
  21. 21.In a group of 38 children, 21 play chess, 19 play carrom and 12 play both. How many play only carrom?
  22. 22.In a group of 25 grown-ups, 19 drink tea, 10 drink coffee and 5 drink both. How many drink exactly one of the two?
  23. 23.In a group of 38 children, 25 play cricket, 16 play football and 10 play both. How many play at least one of the two?
  24. 24.In a group of 45 children, 27 enjoy drawing, 18 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  25. 25.In a group of 39 children, 13 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 41 children, 30 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 47 children, 20 play cricket, 23 play football and 5 play both. How many play only football?
  28. 28.In a group of 28 children, 19 enjoy drawing, 11 enjoy dancing and 3 enjoy both. How many enjoy at least one of the two?
  29. 29.In a group of 40 grown-ups, 24 drink tea, 18 drink coffee and 6 drink both. How many drink exactly one of the two?
  30. 30.In a group of 20 children, 9 play chess, 11 play carrom and 5 play both. How many play only carrom?
  31. 31.In a group of 52 children, 29 like mangoes, 22 like bananas and 12 like both. How many like only mangoes?
  32. 32.In a group of 47 children, 21 play cricket, 20 play football and 2 play both. How many play only cricket?
  33. 33.In a group of 38 children, 21 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 30 children, 17 play chess, 13 play carrom and 4 play both. How many play at least one of the two?
  35. 35.In a group of 34 grown-ups, 15 drink tea, 25 drink coffee and 9 drink both. How many drink neither of the two?
  36. 36.In a group of 25 children, 12 play cricket, 11 play football and 8 play both. How many play neither of the two?
  37. 37.In a group of 36 children, 17 play chess, 21 play carrom and 4 play both. How many play exactly one of the two?
  38. 38.In a group of 37 children, 18 enjoy drawing, 18 enjoy dancing and 5 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 24 grown-ups, 7 drink tea, 12 drink coffee and 2 drink both. How many drink neither of the two?
  40. 40.In a group of 23 children, 7 play chess, 13 play carrom and 2 play both. How many play neither of the two?

Answer key

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

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