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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 602 · 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 33 children, 20 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing at least one of the two?
  2. 2.In a group of 47 children, 26 enjoy drawing, 15 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  3. 3.In a group of 40 grown-ups, 23 drink tea, 9 drink coffee and 3 drink both. How many drink at least one of the two?
  4. 4.In a group of 47 children, 24 play chess, 23 play carrom and 11 play both. How many play only carrom?
  5. 5.In a group of 32 children, 15 play chess, 24 play carrom and 12 play both. How many play neither of the two?
  6. 6.In a group of 34 children, 22 sing Hindi songs, 15 sing English songs and 12 sing both. How many sing only English songs?
  7. 7.In a group of 54 children, 30 enjoy drawing, 23 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 25 children, 11 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing at least one of the two?
  9. 9.In a group of 44 children, 24 like mangoes, 14 like bananas and 8 like both. How many like neither of the two?
  10. 10.In a group of 44 children, 12 sing Hindi songs, 20 sing English songs and 3 sing both. How many sing at least one of the two?
  11. 11.In a group of 41 grown-ups, 29 drink tea, 18 drink coffee and 9 drink both. How many drink only tea?
  12. 12.In a group of 26 grown-ups, 10 drink tea, 12 drink coffee and 2 drink both. How many drink only coffee?
  13. 13.In a group of 58 grown-ups, 27 drink tea, 31 drink coffee and 12 drink both. How many drink only tea?
  14. 14.In a group of 52 children, 24 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  15. 15.In a group of 36 children, 15 play chess, 16 play carrom and 8 play both. How many play at least one of the two?
  16. 16.In a group of 48 children, 30 sing Hindi songs, 17 sing English songs and 12 sing both. How many sing only English songs?
  17. 17.In a group of 31 children, 21 like mangoes, 10 like bananas and 4 like both. How many like only bananas?
  18. 18.In a group of 45 children, 28 sing Hindi songs, 16 sing English songs and 11 sing both. How many sing only English songs?
  19. 19.In a group of 37 grown-ups, 8 drink tea, 18 drink coffee and 2 drink both. How many drink at least one of the two?
  20. 20.In a group of 28 children, 16 like mangoes, 16 like bananas and 11 like both. How many like at least one of the two?
  21. 21.In a group of 27 children, 15 play cricket, 11 play football and 4 play both. How many play neither of the two?
  22. 22.In a group of 38 children, 19 sing Hindi songs, 10 sing English songs and 4 sing both. How many sing only English songs?
  23. 23.In a group of 46 children, 20 play cricket, 24 play football and 4 play both. How many play at least one of the two?
  24. 24.In a group of 28 children, 15 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  25. 25.In a group of 36 children, 9 enjoy drawing, 21 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  26. 26.In a group of 45 children, 17 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 39 children, 12 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing only Hindi songs?
  28. 28.In a group of 35 children, 21 play cricket, 13 play football and 4 play both. How many play at least one of the two?
  29. 29.In a group of 21 children, 11 sing Hindi songs, 9 sing English songs and 2 sing both. How many sing only Hindi songs?
  30. 30.In a group of 35 children, 15 play cricket, 21 play football and 8 play both. How many play only football?
  31. 31.In a group of 43 children, 20 play cricket, 19 play football and 8 play both. How many play only football?
  32. 32.In a group of 20 children, 7 like mangoes, 10 like bananas and 3 like both. How many like neither of the two?
  33. 33.In a group of 35 children, 26 play chess, 9 play carrom and 6 play both. How many play neither of the two?
  34. 34.In a group of 26 children, 11 play chess, 13 play carrom and 2 play both. How many play only carrom?
  35. 35.In a group of 25 children, 12 sing Hindi songs, 8 sing English songs and 3 sing both. How many sing at least one of the two?
  36. 36.In a group of 43 grown-ups, 12 drink tea, 21 drink coffee and 2 drink both. How many drink at least one of the two?
  37. 37.In a group of 45 children, 23 play cricket, 31 play football and 12 play both. How many play only football?
  38. 38.In a group of 18 grown-ups, 13 drink tea, 8 drink coffee and 4 drink both. How many drink at least one of the two?
  39. 39.In a group of 33 children, 16 sing Hindi songs, 19 sing English songs and 10 sing both. How many sing neither of the two?
  40. 40.In a group of 33 children, 22 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?

Answer key

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

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