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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 663 · 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 30 children, 11 like mangoes, 24 like bananas and 6 like both. How many like neither of the two?
  2. 2.In a group of 28 children, 13 sing Hindi songs, 23 sing English songs and 10 sing both. How many sing neither of the two?
  3. 3.In a group of 27 children, 17 play chess, 7 play carrom and 2 play both. How many play exactly one of the two?
  4. 4.In a group of 34 children, 15 play chess, 20 play carrom and 4 play both. How many play exactly one of the two?
  5. 5.In a group of 45 children, 21 play chess, 17 play carrom and 5 play both. How many play exactly one of the two?
  6. 6.In a group of 39 children, 20 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  7. 7.In a group of 43 children, 27 enjoy drawing, 12 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 26 children, 8 sing Hindi songs, 19 sing English songs and 4 sing both. How many sing at least one of the two?
  9. 9.In a group of 35 grown-ups, 23 drink tea, 18 drink coffee and 10 drink both. How many drink only tea?
  10. 10.In a group of 38 children, 18 sing Hindi songs, 15 sing English songs and 4 sing both. How many sing neither of the two?
  11. 11.In a group of 42 children, 27 enjoy drawing, 22 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 38 children, 15 sing Hindi songs, 26 sing English songs and 12 sing both. How many sing neither of the two?
  13. 13.In a group of 39 children, 18 like mangoes, 16 like bananas and 9 like both. How many like at least one of the two?
  14. 14.In a group of 23 children, 8 play cricket, 11 play football and 5 play both. How many play neither of the two?
  15. 15.In a group of 32 children, 11 enjoy drawing, 27 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  16. 16.In a group of 50 grown-ups, 29 drink tea, 29 drink coffee and 12 drink both. How many drink only coffee?
  17. 17.In a group of 34 children, 13 play cricket, 17 play football and 3 play both. How many play exactly one of the two?
  18. 18.In a group of 45 grown-ups, 23 drink tea, 21 drink coffee and 4 drink both. How many drink at least one of the two?
  19. 19.In a group of 36 children, 24 enjoy drawing, 9 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 42 grown-ups, 26 drink tea, 19 drink coffee and 6 drink both. How many drink only tea?
  21. 21.In a group of 37 children, 17 like mangoes, 22 like bananas and 4 like both. How many like at least one of the two?
  22. 22.In a group of 37 grown-ups, 11 drink tea, 20 drink coffee and 2 drink both. How many drink neither of the two?
  23. 23.In a group of 49 children, 19 play cricket, 28 play football and 12 play both. How many play only football?
  24. 24.In a group of 49 grown-ups, 14 drink tea, 29 drink coffee and 9 drink both. How many drink only coffee?
  25. 25.In a group of 26 children, 14 play cricket, 12 play football and 5 play both. How many play only cricket?
  26. 26.In a group of 30 children, 17 play chess, 12 play carrom and 9 play both. How many play neither of the two?
  27. 27.In a group of 23 children, 11 sing Hindi songs, 12 sing English songs and 7 sing both. How many sing only English songs?
  28. 28.In a group of 25 children, 11 play cricket, 11 play football and 2 play both. How many play only football?
  29. 29.In a group of 23 grown-ups, 12 drink tea, 17 drink coffee and 8 drink both. How many drink only coffee?
  30. 30.In a group of 36 children, 23 like mangoes, 16 like bananas and 4 like both. How many like only bananas?
  31. 31.In a group of 34 children, 14 sing Hindi songs, 25 sing English songs and 10 sing both. How many sing only English songs?
  32. 32.In a group of 29 children, 19 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 38 children, 14 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  34. 34.In a group of 46 children, 20 like mangoes, 17 like bananas and 3 like both. How many like at least one of the two?
  35. 35.In a group of 28 children, 17 play cricket, 14 play football and 10 play both. How many play only cricket?
  36. 36.In a group of 38 children, 26 play cricket, 15 play football and 11 play both. How many play exactly one of the two?
  37. 37.In a group of 55 children, 25 like mangoes, 29 like bananas and 10 like both. How many like only bananas?
  38. 38.In a group of 30 children, 19 like mangoes, 19 like bananas and 9 like both. How many like at least one of the two?
  39. 39.In a group of 52 children, 26 enjoy drawing, 29 enjoy dancing and 12 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 32 children, 12 play chess, 19 play carrom and 4 play both. How many play only chess?

Answer key

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

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