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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 238 · 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 46 children, 21 play cricket, 27 play football and 9 play both. How many play only football?
  2. 2.In a group of 53 grown-ups, 28 drink tea, 29 drink coffee and 10 drink both. How many drink at least one of the two?
  3. 3.In a group of 37 children, 15 enjoy drawing, 29 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 32 children, 18 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  5. 5.In a group of 41 children, 13 play cricket, 18 play football and 4 play both. How many play at least one of the two?
  6. 6.In a group of 23 grown-ups, 16 drink tea, 14 drink coffee and 10 drink both. How many drink at least one of the two?
  7. 7.In a group of 42 children, 27 play cricket, 13 play football and 7 play both. How many play only football?
  8. 8.In a group of 40 children, 16 play chess, 28 play carrom and 9 play both. How many play neither of the two?
  9. 9.In a group of 31 children, 18 like mangoes, 19 like bananas and 11 like both. How many like exactly one of the two?
  10. 10.In a group of 44 children, 19 play chess, 14 play carrom and 2 play both. How many play neither of the two?
  11. 11.In a group of 42 children, 26 play cricket, 14 play football and 7 play both. How many play exactly one of the two?
  12. 12.In a group of 35 grown-ups, 19 drink tea, 17 drink coffee and 9 drink both. How many drink exactly one of the two?
  13. 13.In a group of 46 children, 24 enjoy drawing, 20 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 37 children, 9 play cricket, 21 play football and 4 play both. How many play only cricket?
  15. 15.In a group of 39 children, 13 play cricket, 25 play football and 7 play both. How many play only football?
  16. 16.In a group of 41 grown-ups, 24 drink tea, 22 drink coffee and 9 drink both. How many drink neither of the two?
  17. 17.In a group of 40 children, 23 like mangoes, 26 like bananas and 10 like both. How many like only mangoes?
  18. 18.In a group of 30 children, 17 play cricket, 19 play football and 11 play both. How many play only cricket?
  19. 19.In a group of 35 children, 23 play chess, 20 play carrom and 9 play both. How many play at least one of the two?
  20. 20.In a group of 22 children, 8 sing Hindi songs, 10 sing English songs and 2 sing both. How many sing only Hindi songs?
  21. 21.In a group of 26 children, 20 like mangoes, 9 like bananas and 5 like both. How many like only bananas?
  22. 22.In a group of 40 children, 16 like mangoes, 23 like bananas and 6 like both. How many like only bananas?
  23. 23.In a group of 47 children, 23 play cricket, 21 play football and 6 play both. How many play neither of the two?
  24. 24.In a group of 26 children, 16 sing Hindi songs, 13 sing English songs and 6 sing both. How many sing only Hindi songs?
  25. 25.In a group of 33 children, 28 play cricket, 14 play football and 11 play both. How many play only cricket?
  26. 26.In a group of 46 children, 24 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  27. 27.In a group of 24 children, 12 play cricket, 16 play football and 6 play both. How many play at least one of the two?
  28. 28.In a group of 42 children, 27 enjoy drawing, 19 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 23 children, 15 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  30. 30.In a group of 37 children, 23 play cricket, 9 play football and 4 play both. How many play only football?
  31. 31.In a group of 32 children, 21 play cricket, 10 play football and 6 play both. How many play at least one of the two?
  32. 32.In a group of 42 children, 15 play cricket, 28 play football and 9 play both. How many play only cricket?
  33. 33.In a group of 61 grown-ups, 31 drink tea, 28 drink coffee and 11 drink both. How many drink exactly one of the two?
  34. 34.In a group of 41 children, 24 play chess, 26 play carrom and 11 play both. How many play exactly one of the two?
  35. 35.In a group of 28 children, 12 sing Hindi songs, 16 sing English songs and 6 sing both. How many sing only English songs?
  36. 36.In a group of 40 children, 23 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  37. 37.In a group of 31 children, 21 like mangoes, 14 like bananas and 10 like both. How many like exactly one of the two?
  38. 38.In a group of 40 grown-ups, 23 drink tea, 19 drink coffee and 3 drink both. How many drink at least one of the two?
  39. 39.In a group of 51 children, 17 play chess, 23 play carrom and 3 play both. How many play only chess?
  40. 40.In a group of 27 children, 17 play cricket, 15 play football and 10 play both. How many play at least one of the two?

Answer key

  1. 18
  2. 47
  3. 4
  4. 10
  5. 27
  6. 20
  7. 6
  8. 5
  9. 15
  10. 13
  11. 26
  12. 18
  13. 37
  14. 5
  15. 18
  16. 4
  17. 13
  18. 6
  19. 34
  20. 6
  21. 4
  22. 17
  23. 9
  24. 10
  25. 17
  26. 17
  27. 22
  28. 10
  29. 4
  30. 5
  31. 25
  32. 6
  33. 37
  34. 28
  35. 10
  36. 11
  37. 15
  38. 39
  39. 14
  40. 22

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