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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 643 · 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, 19 sing Hindi songs, 27 sing English songs and 9 sing both. How many sing only English songs?
  2. 2.In a group of 38 children, 21 sing Hindi songs, 13 sing English songs and 2 sing both. How many sing only Hindi songs?
  3. 3.In a group of 14 children, 9 like mangoes, 8 like bananas and 4 like both. How many like exactly one of the two?
  4. 4.In a group of 39 grown-ups, 19 drink tea, 13 drink coffee and 7 drink both. How many drink exactly one of the two?
  5. 5.In a group of 36 children, 15 sing Hindi songs, 26 sing English songs and 9 sing both. How many sing exactly one of the two?
  6. 6.In a group of 32 children, 7 play cricket, 21 play football and 3 play both. How many play only football?
  7. 7.In a group of 50 grown-ups, 23 drink tea, 28 drink coffee and 10 drink both. How many drink exactly one of the two?
  8. 8.In a group of 39 children, 24 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  9. 9.In a group of 39 children, 14 play cricket, 20 play football and 8 play both. How many play exactly one of the two?
  10. 10.In a group of 38 children, 13 like mangoes, 13 like bananas and 2 like both. How many like exactly one of the two?
  11. 11.In a group of 36 children, 16 play cricket, 14 play football and 8 play both. How many play only football?
  12. 12.In a group of 41 children, 12 sing Hindi songs, 24 sing English songs and 8 sing both. How many sing neither of the two?
  13. 13.In a group of 45 children, 28 play cricket, 25 play football and 11 play both. How many play neither of the two?
  14. 14.In a group of 27 children, 6 sing Hindi songs, 20 sing English songs and 3 sing both. How many sing only Hindi songs?
  15. 15.In a group of 52 children, 28 play chess, 25 play carrom and 12 play both. How many play neither of the two?
  16. 16.In a group of 36 grown-ups, 10 drink tea, 25 drink coffee and 5 drink both. How many drink only coffee?
  17. 17.In a group of 42 grown-ups, 21 drink tea, 11 drink coffee and 5 drink both. How many drink only tea?
  18. 18.In a group of 45 children, 18 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  19. 19.In a group of 26 grown-ups, 12 drink tea, 9 drink coffee and 5 drink both. How many drink exactly one of the two?
  20. 20.In a group of 36 children, 21 enjoy drawing, 16 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  21. 21.In a group of 25 children, 13 play cricket, 13 play football and 5 play both. How many play neither of the two?
  22. 22.In a group of 37 children, 21 like mangoes, 13 like bananas and 9 like both. How many like only mangoes?
  23. 23.In a group of 35 grown-ups, 21 drink tea, 8 drink coffee and 5 drink both. How many drink neither of the two?
  24. 24.In a group of 53 children, 21 play cricket, 27 play football and 10 play both. How many play neither of the two?
  25. 25.In a group of 34 children, 15 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  26. 26.In a group of 44 children, 26 like mangoes, 24 like bananas and 12 like both. How many like only bananas?
  27. 27.In a group of 37 children, 12 play cricket, 22 play football and 9 play both. How many play neither of the two?
  28. 28.In a group of 53 children, 26 sing Hindi songs, 31 sing English songs and 11 sing both. How many sing neither of the two?
  29. 29.In a group of 38 children, 13 play chess, 22 play carrom and 4 play both. How many play neither of the two?
  30. 30.In a group of 30 children, 18 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 51 children, 17 enjoy drawing, 24 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  32. 32.In a group of 29 children, 16 enjoy drawing, 15 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  33. 33.In a group of 42 children, 23 like mangoes, 25 like bananas and 12 like both. How many like neither of the two?
  34. 34.In a group of 24 children, 13 sing Hindi songs, 7 sing English songs and 3 sing both. How many sing only Hindi songs?
  35. 35.In a group of 40 children, 27 like mangoes, 17 like bananas and 11 like both. How many like at least one of the two?
  36. 36.In a group of 55 children, 31 play cricket, 21 play football and 12 play both. How many play only cricket?
  37. 37.In a group of 30 children, 13 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 45 children, 26 like mangoes, 16 like bananas and 8 like both. How many like only mangoes?
  39. 39.In a group of 32 grown-ups, 13 drink tea, 16 drink coffee and 2 drink both. How many drink exactly one of the two?
  40. 40.In a group of 26 grown-ups, 12 drink tea, 13 drink coffee and 7 drink both. How many drink only coffee?

Answer key

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

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