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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 280 · 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 36 children, 25 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing exactly one of the two?
  2. 2.In a group of 52 grown-ups, 27 drink tea, 25 drink coffee and 12 drink both. How many drink only coffee?
  3. 3.In a group of 28 children, 10 enjoy drawing, 17 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  4. 4.In a group of 25 children, 8 like mangoes, 17 like bananas and 2 like both. How many like neither of the two?
  5. 5.In a group of 33 children, 9 play cricket, 15 play football and 4 play both. How many play at least one of the two?
  6. 6.In a group of 30 children, 16 sing Hindi songs, 15 sing English songs and 5 sing both. How many sing at least one of the two?
  7. 7.In a group of 36 children, 21 play cricket, 23 play football and 10 play both. How many play only cricket?
  8. 8.In a group of 45 children, 30 play cricket, 14 play football and 11 play both. How many play neither of the two?
  9. 9.In a group of 42 grown-ups, 13 drink tea, 28 drink coffee and 8 drink both. How many drink only coffee?
  10. 10.In a group of 42 children, 17 enjoy drawing, 22 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  11. 11.In a group of 41 grown-ups, 17 drink tea, 21 drink coffee and 10 drink both. How many drink only coffee?
  12. 12.In a group of 38 children, 17 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing only English songs?
  13. 13.In a group of 31 children, 7 play cricket, 21 play football and 3 play both. How many play at least one of the two?
  14. 14.In a group of 35 children, 22 play chess, 15 play carrom and 7 play both. How many play only carrom?
  15. 15.In a group of 32 children, 11 sing Hindi songs, 16 sing English songs and 4 sing both. How many sing neither of the two?
  16. 16.In a group of 44 children, 22 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 36 children, 12 play chess, 25 play carrom and 5 play both. How many play neither of the two?
  18. 18.In a group of 32 grown-ups, 15 drink tea, 20 drink coffee and 7 drink both. How many drink only tea?
  19. 19.In a group of 26 children, 10 play cricket, 16 play football and 7 play both. How many play only cricket?
  20. 20.In a group of 39 children, 18 like mangoes, 20 like bananas and 4 like both. How many like at least one of the two?
  21. 21.In a group of 26 children, 10 sing Hindi songs, 13 sing English songs and 7 sing both. How many sing only English songs?
  22. 22.In a group of 42 children, 12 play chess, 26 play carrom and 9 play both. How many play only chess?
  23. 23.In a group of 20 children, 15 play chess, 8 play carrom and 5 play both. How many play exactly one of the two?
  24. 24.In a group of 47 children, 27 play cricket, 19 play football and 11 play both. How many play only football?
  25. 25.In a group of 33 children, 16 play chess, 17 play carrom and 8 play both. How many play neither of the two?
  26. 26.In a group of 59 children, 28 like mangoes, 26 like bananas and 8 like both. How many like only bananas?
  27. 27.In a group of 32 grown-ups, 18 drink tea, 14 drink coffee and 3 drink both. How many drink exactly one of the two?
  28. 28.In a group of 45 children, 30 sing Hindi songs, 17 sing English songs and 11 sing both. How many sing only Hindi songs?
  29. 29.In a group of 46 grown-ups, 29 drink tea, 23 drink coffee and 11 drink both. How many drink exactly one of the two?
  30. 30.In a group of 25 children, 17 play cricket, 13 play football and 6 play both. How many play neither of the two?
  31. 31.In a group of 12 children, 6 like mangoes, 7 like bananas and 3 like both. How many like only mangoes?
  32. 32.In a group of 26 children, 22 like mangoes, 5 like bananas and 2 like both. How many like neither of the two?
  33. 33.In a group of 53 children, 29 enjoy drawing, 27 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  34. 34.In a group of 23 grown-ups, 9 drink tea, 13 drink coffee and 4 drink both. How many drink exactly one of the two?
  35. 35.In a group of 42 children, 18 play cricket, 20 play football and 7 play both. How many play only cricket?
  36. 36.In a group of 34 children, 21 like mangoes, 12 like bananas and 4 like both. How many like exactly one of the two?
  37. 37.In a group of 32 children, 13 play chess, 20 play carrom and 4 play both. How many play neither of the two?
  38. 38.In a group of 32 children, 17 play cricket, 21 play football and 11 play both. How many play at least one of the two?
  39. 39.In a group of 30 grown-ups, 15 drink tea, 18 drink coffee and 9 drink both. How many drink at least one of the two?
  40. 40.In a group of 37 children, 19 play chess, 25 play carrom and 11 play both. How many play only chess?

Answer key

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

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