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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 336 · 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 31 children, 20 play cricket, 13 play football and 3 play both. How many play only football?
  2. 2.In a group of 37 children, 13 like mangoes, 24 like bananas and 4 like both. How many like only mangoes?
  3. 3.In a group of 35 children, 14 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  4. 4.In a group of 37 children, 15 play chess, 14 play carrom and 4 play both. How many play only chess?
  5. 5.In a group of 44 children, 27 play cricket, 13 play football and 10 play both. How many play only cricket?
  6. 6.In a group of 45 children, 24 enjoy drawing, 18 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  7. 7.In a group of 46 children, 29 play chess, 23 play carrom and 11 play both. How many play at least one of the two?
  8. 8.In a group of 28 children, 21 play cricket, 14 play football and 9 play both. How many play neither of the two?
  9. 9.In a group of 40 children, 16 play cricket, 24 play football and 6 play both. How many play at least one of the two?
  10. 10.In a group of 48 children, 16 like mangoes, 28 like bananas and 9 like both. How many like neither of the two?
  11. 11.In a group of 55 children, 27 like mangoes, 26 like bananas and 9 like both. How many like neither of the two?
  12. 12.In a group of 35 children, 15 play chess, 19 play carrom and 3 play both. How many play exactly one of the two?
  13. 13.In a group of 47 grown-ups, 24 drink tea, 14 drink coffee and 4 drink both. How many drink only coffee?
  14. 14.In a group of 45 children, 17 sing Hindi songs, 28 sing English songs and 9 sing both. How many sing exactly one of the two?
  15. 15.In a group of 23 children, 11 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing at least one of the two?
  16. 16.In a group of 33 children, 13 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  17. 17.In a group of 48 children, 29 sing Hindi songs, 28 sing English songs and 11 sing both. How many sing only Hindi songs?
  18. 18.In a group of 45 children, 27 play chess, 19 play carrom and 12 play both. How many play only chess?
  19. 19.In a group of 47 children, 18 play cricket, 25 play football and 6 play both. How many play exactly one of the two?
  20. 20.In a group of 41 children, 22 play cricket, 19 play football and 7 play both. How many play neither of the two?
  21. 21.In a group of 26 grown-ups, 20 drink tea, 13 drink coffee and 10 drink both. How many drink only tea?
  22. 22.In a group of 38 children, 20 play chess, 17 play carrom and 6 play both. How many play neither of the two?
  23. 23.In a group of 36 children, 20 play chess, 7 play carrom and 3 play both. How many play only chess?
  24. 24.In a group of 35 children, 13 like mangoes, 19 like bananas and 6 like both. How many like only bananas?
  25. 25.In a group of 44 children, 12 play cricket, 28 play football and 9 play both. How many play only football?
  26. 26.In a group of 41 children, 26 play chess, 20 play carrom and 8 play both. How many play at least one of the two?
  27. 27.In a group of 39 children, 13 like mangoes, 27 like bananas and 7 like both. How many like only mangoes?
  28. 28.In a group of 58 children, 26 like mangoes, 27 like bananas and 7 like both. How many like at least one of the two?
  29. 29.In a group of 38 children, 11 sing Hindi songs, 20 sing English songs and 3 sing both. How many sing only Hindi songs?
  30. 30.In a group of 40 children, 22 enjoy drawing, 24 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 21 children, 8 enjoy drawing, 12 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 33 children, 17 play cricket, 15 play football and 10 play both. How many play neither of the two?
  33. 33.In a group of 32 children, 15 play cricket, 25 play football and 9 play both. How many play only cricket?
  34. 34.In a group of 49 grown-ups, 31 drink tea, 16 drink coffee and 11 drink both. How many drink exactly one of the two?
  35. 35.In a group of 54 children, 28 like mangoes, 21 like bananas and 10 like both. How many like at least one of the two?
  36. 36.In a group of 35 grown-ups, 19 drink tea, 11 drink coffee and 5 drink both. How many drink exactly one of the two?
  37. 37.In a group of 19 children, 13 sing Hindi songs, 9 sing English songs and 6 sing both. How many sing neither of the two?
  38. 38.In a group of 37 children, 16 like mangoes, 22 like bananas and 5 like both. How many like at least one of the two?
  39. 39.In a group of 43 children, 27 play chess, 26 play carrom and 11 play both. How many play only carrom?
  40. 40.In a group of 38 children, 20 like mangoes, 6 like bananas and 3 like both. How many like at least one of the two?

Answer key

  1. 10
  2. 9
  3. 17
  4. 11
  5. 17
  6. 35
  7. 41
  8. 2
  9. 34
  10. 13
  11. 11
  12. 28
  13. 10
  14. 27
  15. 17
  16. 23
  17. 18
  18. 15
  19. 31
  20. 7
  21. 10
  22. 7
  23. 17
  24. 13
  25. 19
  26. 38
  27. 6
  28. 46
  29. 8
  30. 2
  31. 10
  32. 11
  33. 6
  34. 25
  35. 39
  36. 20
  37. 3
  38. 33
  39. 15
  40. 23

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