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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 298 · 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 42 children, 28 play chess, 24 play carrom and 12 play both. How many play at least one of the two?
  2. 2.In a group of 35 children, 26 like mangoes, 11 like bananas and 6 like both. How many like only bananas?
  3. 3.In a group of 41 children, 27 like mangoes, 21 like bananas and 9 like both. How many like only bananas?
  4. 4.In a group of 48 children, 15 like mangoes, 25 like bananas and 7 like both. How many like only bananas?
  5. 5.In a group of 32 children, 10 sing Hindi songs, 17 sing English songs and 4 sing both. How many sing only English songs?
  6. 6.In a group of 25 children, 19 play cricket, 9 play football and 5 play both. How many play only football?
  7. 7.In a group of 27 children, 6 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing neither of the two?
  8. 8.In a group of 48 children, 26 play chess, 27 play carrom and 7 play both. How many play at least one of the two?
  9. 9.In a group of 32 children, 10 play cricket, 23 play football and 5 play both. How many play only football?
  10. 10.In a group of 19 children, 9 play chess, 9 play carrom and 4 play both. How many play exactly one of the two?
  11. 11.In a group of 38 children, 21 play cricket, 9 play football and 3 play both. How many play at least one of the two?
  12. 12.In a group of 49 children, 18 like mangoes, 23 like bananas and 5 like both. How many like neither of the two?
  13. 13.In a group of 39 children, 6 enjoy drawing, 23 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 37 children, 25 play chess, 13 play carrom and 10 play both. How many play at least one of the two?
  15. 15.In a group of 38 children, 22 like mangoes, 13 like bananas and 5 like both. How many like at least one of the two?
  16. 16.In a group of 52 grown-ups, 28 drink tea, 19 drink coffee and 9 drink both. How many drink only tea?
  17. 17.In a group of 38 children, 29 play cricket, 14 play football and 10 play both. How many play at least one of the two?
  18. 18.In a group of 52 children, 23 enjoy drawing, 28 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  19. 19.In a group of 30 children, 13 like mangoes, 5 like bananas and 2 like both. How many like only bananas?
  20. 20.In a group of 29 children, 18 play chess, 9 play carrom and 2 play both. How many play neither of the two?
  21. 21.In a group of 25 children, 5 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing exactly one of the two?
  22. 22.In a group of 21 children, 12 like mangoes, 14 like bananas and 7 like both. How many like only mangoes?
  23. 23.In a group of 27 children, 14 play cricket, 11 play football and 7 play both. How many play exactly one of the two?
  24. 24.In a group of 25 grown-ups, 5 drink tea, 7 drink coffee and 2 drink both. How many drink only tea?
  25. 25.In a group of 45 grown-ups, 26 drink tea, 26 drink coffee and 9 drink both. How many drink only tea?
  26. 26.In a group of 43 grown-ups, 20 drink tea, 22 drink coffee and 11 drink both. How many drink only tea?
  27. 27.In a group of 47 grown-ups, 30 drink tea, 16 drink coffee and 12 drink both. How many drink only coffee?
  28. 28.In a group of 31 children, 24 play chess, 9 play carrom and 5 play both. How many play only chess?
  29. 29.In a group of 45 children, 26 play cricket, 12 play football and 7 play both. How many play only football?
  30. 30.In a group of 29 children, 8 enjoy drawing, 14 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  31. 31.In a group of 48 children, 23 like mangoes, 28 like bananas and 12 like both. How many like only bananas?
  32. 32.In a group of 39 children, 14 like mangoes, 19 like bananas and 8 like both. How many like only mangoes?
  33. 33.In a group of 26 children, 22 sing Hindi songs, 6 sing English songs and 3 sing both. How many sing neither of the two?
  34. 34.In a group of 51 children, 25 like mangoes, 22 like bananas and 10 like both. How many like only bananas?
  35. 35.In a group of 27 children, 7 enjoy drawing, 15 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 32 children, 12 enjoy drawing, 21 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  37. 37.In a group of 28 children, 13 play chess, 11 play carrom and 5 play both. How many play only carrom?
  38. 38.In a group of 35 children, 14 play cricket, 18 play football and 4 play both. How many play neither of the two?
  39. 39.In a group of 32 children, 25 play chess, 9 play carrom and 5 play both. How many play at least one of the two?
  40. 40.In a group of 19 children, 11 enjoy drawing, 13 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?

Answer key

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

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