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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 64 · 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 58 children, 26 play cricket, 28 play football and 11 play both. How many play only cricket?
  2. 2.In a group of 45 children, 17 play cricket, 27 play football and 10 play both. How many play at least one of the two?
  3. 3.In a group of 37 children, 17 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing exactly one of the two?
  4. 4.In a group of 58 children, 26 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 37 grown-ups, 19 drink tea, 21 drink coffee and 11 drink both. How many drink exactly one of the two?
  6. 6.In a group of 41 grown-ups, 15 drink tea, 27 drink coffee and 8 drink both. How many drink exactly one of the two?
  7. 7.In a group of 45 children, 27 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing at least one of the two?
  8. 8.In a group of 47 children, 27 play chess, 23 play carrom and 7 play both. How many play only carrom?
  9. 9.In a group of 48 children, 24 play cricket, 17 play football and 5 play both. How many play only football?
  10. 10.In a group of 30 children, 22 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 34 children, 18 like mangoes, 15 like bananas and 9 like both. How many like only bananas?
  12. 12.In a group of 44 grown-ups, 18 drink tea, 23 drink coffee and 10 drink both. How many drink exactly one of the two?
  13. 13.In a group of 31 children, 7 play chess, 21 play carrom and 4 play both. How many play only carrom?
  14. 14.In a group of 32 children, 5 play cricket, 15 play football and 2 play both. How many play exactly one of the two?
  15. 15.In a group of 52 children, 18 play cricket, 29 play football and 9 play both. How many play only football?
  16. 16.In a group of 32 children, 18 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  17. 17.In a group of 39 grown-ups, 25 drink tea, 13 drink coffee and 8 drink both. How many drink neither of the two?
  18. 18.In a group of 35 children, 18 play chess, 15 play carrom and 11 play both. How many play at least one of the two?
  19. 19.In a group of 35 grown-ups, 17 drink tea, 16 drink coffee and 10 drink both. How many drink only tea?
  20. 20.In a group of 13 children, 9 sing Hindi songs, 6 sing English songs and 3 sing both. How many sing neither of the two?
  21. 21.In a group of 51 children, 25 like mangoes, 27 like bananas and 10 like both. How many like exactly one of the two?
  22. 22.In a group of 39 children, 14 sing Hindi songs, 20 sing English songs and 8 sing both. How many sing exactly one of the two?
  23. 23.In a group of 35 children, 10 play chess, 19 play carrom and 4 play both. How many play exactly one of the two?
  24. 24.In a group of 49 children, 21 enjoy drawing, 27 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 32 children, 16 play cricket, 7 play football and 4 play both. How many play neither of the two?
  26. 26.In a group of 15 children, 8 enjoy drawing, 8 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 29 children, 20 sing Hindi songs, 9 sing English songs and 3 sing both. How many sing neither of the two?
  28. 28.In a group of 30 children, 15 play chess, 8 play carrom and 3 play both. How many play only carrom?
  29. 29.In a group of 28 grown-ups, 18 drink tea, 10 drink coffee and 2 drink both. How many drink at least one of the two?
  30. 30.In a group of 53 children, 28 play chess, 27 play carrom and 12 play both. How many play exactly one of the two?
  31. 31.In a group of 40 children, 23 like mangoes, 17 like bananas and 8 like both. How many like exactly one of the two?
  32. 32.In a group of 40 children, 22 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing exactly one of the two?
  33. 33.In a group of 32 children, 19 play chess, 6 play carrom and 3 play both. How many play only chess?
  34. 34.In a group of 36 children, 12 like mangoes, 22 like bananas and 9 like both. How many like exactly one of the two?
  35. 35.In a group of 27 children, 12 play cricket, 11 play football and 5 play both. How many play at least one of the two?
  36. 36.In a group of 20 children, 9 play chess, 13 play carrom and 3 play both. How many play only chess?
  37. 37.In a group of 35 children, 16 play chess, 12 play carrom and 3 play both. How many play at least one of the two?
  38. 38.In a group of 29 children, 14 sing Hindi songs, 21 sing English songs and 7 sing both. How many sing exactly one of the two?
  39. 39.In a group of 38 children, 17 play chess, 19 play carrom and 5 play both. How many play only chess?
  40. 40.In a group of 48 children, 24 play cricket, 21 play football and 4 play both. How many play exactly one of the two?

Answer key

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

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