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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 57 · 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, 23 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  2. 2.In a group of 29 children, 17 sing Hindi songs, 13 sing English songs and 3 sing both. How many sing only English songs?
  3. 3.In a group of 34 children, 13 like mangoes, 9 like bananas and 3 like both. How many like at least one of the two?
  4. 4.In a group of 30 children, 11 sing Hindi songs, 20 sing English songs and 7 sing both. How many sing exactly one of the two?
  5. 5.In a group of 45 children, 24 enjoy drawing, 17 enjoy dancing and 10 enjoy both. How many enjoy neither of the two?
  6. 6.In a group of 41 children, 15 play chess, 21 play carrom and 3 play both. How many play only chess?
  7. 7.In a group of 53 children, 32 play cricket, 32 play football and 12 play both. How many play at least one of the two?
  8. 8.In a group of 42 children, 21 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 28 children, 21 sing Hindi songs, 10 sing English songs and 6 sing both. How many sing only Hindi songs?
  10. 10.In a group of 40 children, 15 play chess, 27 play carrom and 7 play both. How many play only chess?
  11. 11.In a group of 47 children, 16 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  12. 12.In a group of 34 children, 8 play chess, 23 play carrom and 4 play both. How many play only chess?
  13. 13.In a group of 38 children, 8 play cricket, 21 play football and 4 play both. How many play only cricket?
  14. 14.In a group of 43 children, 28 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing only Hindi songs?
  15. 15.In a group of 44 children, 12 sing Hindi songs, 27 sing English songs and 8 sing both. How many sing only Hindi songs?
  16. 16.In a group of 55 children, 23 play cricket, 23 play football and 4 play both. How many play only football?
  17. 17.In a group of 47 grown-ups, 26 drink tea, 26 drink coffee and 7 drink both. How many drink exactly one of the two?
  18. 18.In a group of 21 children, 10 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing only English songs?
  19. 19.In a group of 49 children, 29 play cricket, 25 play football and 9 play both. How many play only football?
  20. 20.In a group of 39 children, 22 like mangoes, 5 like bananas and 2 like both. How many like only bananas?
  21. 21.In a group of 45 children, 17 play chess, 15 play carrom and 2 play both. How many play only carrom?
  22. 22.In a group of 50 grown-ups, 24 drink tea, 21 drink coffee and 5 drink both. How many drink only tea?
  23. 23.In a group of 24 grown-ups, 7 drink tea, 5 drink coffee and 2 drink both. How many drink only coffee?
  24. 24.In a group of 27 children, 9 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing only Hindi songs?
  25. 25.In a group of 34 children, 19 like mangoes, 15 like bananas and 2 like both. How many like neither of the two?
  26. 26.In a group of 25 children, 9 like mangoes, 15 like bananas and 4 like both. How many like at least one of the two?
  27. 27.In a group of 25 children, 16 sing Hindi songs, 19 sing English songs and 11 sing both. How many sing at least one of the two?
  28. 28.In a group of 33 children, 19 enjoy drawing, 6 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 34 children, 17 play chess, 19 play carrom and 12 play both. How many play exactly one of the two?
  30. 30.In a group of 38 children, 13 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 34 children, 28 play cricket, 13 play football and 9 play both. How many play exactly one of the two?
  32. 32.In a group of 43 children, 20 like mangoes, 25 like bananas and 11 like both. How many like exactly one of the two?
  33. 33.In a group of 45 children, 22 enjoy drawing, 23 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  34. 34.In a group of 29 children, 10 sing Hindi songs, 17 sing English songs and 2 sing both. How many sing neither of the two?
  35. 35.In a group of 28 children, 10 play cricket, 10 play football and 3 play both. How many play at least one of the two?
  36. 36.In a group of 48 grown-ups, 22 drink tea, 17 drink coffee and 2 drink both. How many drink exactly one of the two?
  37. 37.In a group of 38 children, 19 like mangoes, 20 like bananas and 5 like both. How many like only bananas?
  38. 38.In a group of 45 grown-ups, 27 drink tea, 18 drink coffee and 7 drink both. How many drink exactly one of the two?
  39. 39.In a group of 43 children, 21 play chess, 23 play carrom and 7 play both. How many play only chess?
  40. 40.In a group of 34 children, 17 play chess, 7 play carrom and 4 play both. How many play only chess?

Answer key

  1. 14
  2. 10
  3. 19
  4. 17
  5. 14
  6. 12
  7. 52
  8. 31
  9. 15
  10. 8
  11. 11
  12. 4
  13. 4
  14. 17
  15. 4
  16. 19
  17. 38
  18. 5
  19. 16
  20. 3
  21. 13
  22. 19
  23. 3
  24. 5
  25. 2
  26. 20
  27. 24
  28. 4
  29. 12
  30. 20
  31. 23
  32. 23
  33. 37
  34. 4
  35. 17
  36. 35
  37. 15
  38. 31
  39. 14
  40. 13

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