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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 443 · 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 28 children, 23 like mangoes, 7 like bananas and 4 like both. How many like only mangoes?
  2. 2.In a group of 47 children, 28 sing Hindi songs, 23 sing English songs and 9 sing both. How many sing exactly one of the two?
  3. 3.In a group of 43 children, 26 play chess, 27 play carrom and 11 play both. How many play exactly one of the two?
  4. 4.In a group of 27 children, 12 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  5. 5.In a group of 38 children, 10 play cricket, 20 play football and 3 play both. How many play only football?
  6. 6.In a group of 41 grown-ups, 21 drink tea, 10 drink coffee and 3 drink both. How many drink only coffee?
  7. 7.In a group of 45 children, 18 play cricket, 18 play football and 2 play both. How many play neither of the two?
  8. 8.In a group of 35 children, 18 play chess, 20 play carrom and 5 play both. How many play at least one of the two?
  9. 9.In a group of 28 children, 18 play chess, 13 play carrom and 10 play both. How many play neither of the two?
  10. 10.In a group of 30 children, 10 like mangoes, 10 like bananas and 5 like both. How many like neither of the two?
  11. 11.In a group of 45 children, 27 play chess, 20 play carrom and 10 play both. How many play only chess?
  12. 12.In a group of 48 children, 24 like mangoes, 20 like bananas and 6 like both. How many like only mangoes?
  13. 13.In a group of 39 children, 24 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 44 children, 19 play chess, 24 play carrom and 5 play both. How many play at least one of the two?
  15. 15.In a group of 32 grown-ups, 24 drink tea, 12 drink coffee and 5 drink both. How many drink exactly one of the two?
  16. 16.In a group of 23 children, 12 like mangoes, 17 like bananas and 8 like both. How many like exactly one of the two?
  17. 17.In a group of 35 children, 11 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  18. 18.In a group of 29 children, 6 play cricket, 13 play football and 3 play both. How many play only cricket?
  19. 19.In a group of 44 children, 25 enjoy drawing, 21 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  20. 20.In a group of 21 children, 15 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  21. 21.In a group of 42 children, 25 like mangoes, 25 like bananas and 10 like both. How many like neither of the two?
  22. 22.In a group of 40 grown-ups, 14 drink tea, 26 drink coffee and 7 drink both. How many drink at least one of the two?
  23. 23.In a group of 39 children, 12 like mangoes, 17 like bananas and 2 like both. How many like only bananas?
  24. 24.In a group of 34 children, 25 play chess, 19 play carrom and 11 play both. How many play only chess?
  25. 25.In a group of 42 children, 18 enjoy drawing, 20 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  26. 26.In a group of 39 children, 24 play cricket, 11 play football and 7 play both. How many play neither of the two?
  27. 27.In a group of 33 grown-ups, 14 drink tea, 22 drink coffee and 8 drink both. How many drink only coffee?
  28. 28.In a group of 47 children, 30 like mangoes, 27 like bananas and 11 like both. How many like neither of the two?
  29. 29.In a group of 18 children, 8 sing Hindi songs, 8 sing English songs and 2 sing both. How many sing only Hindi songs?
  30. 30.In a group of 37 children, 8 play cricket, 22 play football and 2 play both. How many play only football?
  31. 31.In a group of 43 children, 20 sing Hindi songs, 24 sing English songs and 8 sing both. How many sing only Hindi songs?
  32. 32.In a group of 38 grown-ups, 19 drink tea, 20 drink coffee and 6 drink both. How many drink exactly one of the two?
  33. 33.In a group of 47 children, 25 enjoy drawing, 19 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  34. 34.In a group of 33 children, 14 play cricket, 20 play football and 4 play both. How many play neither of the two?
  35. 35.In a group of 49 children, 21 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 38 children, 18 play chess, 10 play carrom and 3 play both. How many play only chess?
  37. 37.In a group of 49 children, 29 like mangoes, 17 like bananas and 9 like both. How many like only mangoes?
  38. 38.In a group of 17 children, 12 play cricket, 6 play football and 3 play both. How many play only cricket?
  39. 39.In a group of 21 children, 9 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing only English songs?
  40. 40.In a group of 32 children, 12 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy only drawing?

Answer key

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

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