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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 48 · 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 43 children, 18 play cricket, 22 play football and 8 play both. How many play only cricket?
  2. 2.In a group of 15 children, 10 like mangoes, 10 like bananas and 6 like both. How many like only bananas?
  3. 3.In a group of 25 children, 8 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  4. 4.In a group of 36 children, 19 play chess, 16 play carrom and 7 play both. How many play exactly one of the two?
  5. 5.In a group of 45 children, 20 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing at least one of the two?
  6. 6.In a group of 36 grown-ups, 13 drink tea, 28 drink coffee and 9 drink both. How many drink neither of the two?
  7. 7.In a group of 44 children, 15 play cricket, 24 play football and 9 play both. How many play neither of the two?
  8. 8.In a group of 34 children, 16 play cricket, 22 play football and 7 play both. How many play only cricket?
  9. 9.In a group of 46 grown-ups, 21 drink tea, 22 drink coffee and 11 drink both. How many drink only tea?
  10. 10.In a group of 29 grown-ups, 16 drink tea, 9 drink coffee and 3 drink both. How many drink neither of the two?
  11. 11.In a group of 32 children, 18 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  12. 12.In a group of 45 children, 28 enjoy drawing, 24 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  13. 13.In a group of 41 children, 22 play cricket, 24 play football and 6 play both. How many play neither of the two?
  14. 14.In a group of 36 children, 22 play cricket, 18 play football and 12 play both. How many play neither of the two?
  15. 15.In a group of 51 children, 26 play chess, 21 play carrom and 11 play both. How many play at least one of the two?
  16. 16.In a group of 47 children, 22 play cricket, 14 play football and 2 play both. How many play only cricket?
  17. 17.In a group of 21 children, 17 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing only Hindi songs?
  18. 18.In a group of 26 children, 15 sing Hindi songs, 17 sing English songs and 10 sing both. How many sing only Hindi songs?
  19. 19.In a group of 36 children, 27 like mangoes, 15 like bananas and 10 like both. How many like exactly one of the two?
  20. 20.In a group of 47 children, 14 play cricket, 25 play football and 7 play both. How many play only cricket?
  21. 21.In a group of 35 grown-ups, 9 drink tea, 14 drink coffee and 2 drink both. How many drink at least one of the two?
  22. 22.In a group of 35 children, 25 sing Hindi songs, 16 sing English songs and 10 sing both. How many sing at least one of the two?
  23. 23.In a group of 42 children, 29 sing Hindi songs, 20 sing English songs and 10 sing both. How many sing neither of the two?
  24. 24.In a group of 35 children, 14 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing only Hindi songs?
  25. 25.In a group of 59 children, 28 play chess, 31 play carrom and 12 play both. How many play neither of the two?
  26. 26.In a group of 40 children, 22 play cricket, 16 play football and 4 play both. How many play exactly one of the two?
  27. 27.In a group of 23 grown-ups, 10 drink tea, 8 drink coffee and 3 drink both. How many drink only coffee?
  28. 28.In a group of 36 children, 10 like mangoes, 22 like bananas and 5 like both. How many like only bananas?
  29. 29.In a group of 39 children, 13 enjoy drawing, 24 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 37 children, 20 sing Hindi songs, 14 sing English songs and 6 sing both. How many sing at least one of the two?
  31. 31.In a group of 31 children, 16 play cricket, 8 play football and 5 play both. How many play neither of the two?
  32. 32.In a group of 49 grown-ups, 30 drink tea, 20 drink coffee and 10 drink both. How many drink exactly one of the two?
  33. 33.In a group of 43 children, 21 enjoy drawing, 20 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 47 children, 28 play chess, 13 play carrom and 9 play both. How many play only chess?
  35. 35.In a group of 40 children, 14 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  36. 36.In a group of 46 children, 23 play cricket, 25 play football and 12 play both. How many play exactly one of the two?
  37. 37.In a group of 20 children, 8 enjoy drawing, 10 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  38. 38.In a group of 31 children, 9 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing at least one of the two?
  39. 39.In a group of 56 children, 26 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 25 children, 16 sing Hindi songs, 15 sing English songs and 10 sing both. How many sing only English songs?

Answer key

  1. 10
  2. 4
  3. 12
  4. 21
  5. 37
  6. 4
  7. 14
  8. 9
  9. 10
  10. 7
  11. 20
  12. 43
  13. 1
  14. 8
  15. 36
  16. 20
  17. 13
  18. 5
  19. 22
  20. 7
  21. 21
  22. 31
  23. 3
  24. 7
  25. 12
  26. 30
  27. 5
  28. 17
  29. 17
  30. 28
  31. 12
  32. 30
  33. 18
  34. 19
  35. 20
  36. 24
  37. 10
  38. 23
  39. 41
  40. 5

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