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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 421 · 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 39 children, 22 sing Hindi songs, 24 sing English songs and 8 sing both. How many sing neither of the two?
  2. 2.In a group of 48 children, 24 play chess, 23 play carrom and 8 play both. How many play neither of the two?
  3. 3.In a group of 55 children, 28 play cricket, 21 play football and 8 play both. How many play only cricket?
  4. 4.In a group of 28 children, 17 play chess, 19 play carrom and 11 play both. How many play exactly one of the two?
  5. 5.In a group of 32 children, 14 play cricket, 13 play football and 5 play both. How many play only cricket?
  6. 6.In a group of 33 grown-ups, 21 drink tea, 9 drink coffee and 5 drink both. How many drink only coffee?
  7. 7.In a group of 44 children, 17 play cricket, 26 play football and 8 play both. How many play only football?
  8. 8.In a group of 22 grown-ups, 12 drink tea, 10 drink coffee and 7 drink both. How many drink only coffee?
  9. 9.In a group of 41 children, 9 sing Hindi songs, 24 sing English songs and 6 sing both. How many sing only Hindi songs?
  10. 10.In a group of 27 children, 17 play cricket, 15 play football and 7 play both. How many play neither of the two?
  11. 11.In a group of 31 children, 20 play chess, 8 play carrom and 4 play both. How many play neither of the two?
  12. 12.In a group of 51 children, 20 enjoy drawing, 23 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  13. 13.In a group of 50 children, 16 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 27 children, 9 like mangoes, 13 like bananas and 2 like both. How many like only bananas?
  15. 15.In a group of 44 children, 14 play chess, 31 play carrom and 11 play both. How many play only carrom?
  16. 16.In a group of 27 children, 10 like mangoes, 18 like bananas and 6 like both. How many like only bananas?
  17. 17.In a group of 42 children, 21 play cricket, 19 play football and 6 play both. How many play exactly one of the two?
  18. 18.In a group of 18 grown-ups, 7 drink tea, 7 drink coffee and 2 drink both. How many drink only tea?
  19. 19.In a group of 34 children, 21 play chess, 16 play carrom and 9 play both. How many play only carrom?
  20. 20.In a group of 46 grown-ups, 19 drink tea, 26 drink coffee and 11 drink both. How many drink only coffee?
  21. 21.In a group of 23 children, 11 like mangoes, 14 like bananas and 7 like both. How many like only bananas?
  22. 22.In a group of 21 children, 12 play cricket, 8 play football and 4 play both. How many play only football?
  23. 23.In a group of 29 children, 11 like mangoes, 21 like bananas and 8 like both. How many like neither of the two?
  24. 24.In a group of 37 children, 16 sing Hindi songs, 15 sing English songs and 3 sing both. How many sing only English songs?
  25. 25.In a group of 38 children, 12 play chess, 25 play carrom and 9 play both. How many play neither of the two?
  26. 26.In a group of 42 children, 18 play cricket, 21 play football and 2 play both. How many play neither of the two?
  27. 27.In a group of 57 children, 29 enjoy drawing, 26 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 30 children, 15 sing Hindi songs, 19 sing English songs and 11 sing both. How many sing exactly one of the two?
  29. 29.In a group of 38 grown-ups, 19 drink tea, 7 drink coffee and 3 drink both. How many drink exactly one of the two?
  30. 30.In a group of 29 children, 17 like mangoes, 15 like bananas and 4 like both. How many like at least one of the two?
  31. 31.In a group of 38 children, 15 like mangoes, 19 like bananas and 5 like both. How many like at least one of the two?
  32. 32.In a group of 37 grown-ups, 22 drink tea, 7 drink coffee and 2 drink both. How many drink at least one of the two?
  33. 33.In a group of 46 children, 19 like mangoes, 15 like bananas and 3 like both. How many like only mangoes?
  34. 34.In a group of 43 children, 20 enjoy drawing, 12 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 47 children, 19 play chess, 28 play carrom and 12 play both. How many play only chess?
  36. 36.In a group of 38 children, 26 play chess, 13 play carrom and 6 play both. How many play exactly one of the two?
  37. 37.In a group of 35 children, 11 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  38. 38.In a group of 38 children, 21 sing Hindi songs, 27 sing English songs and 12 sing both. How many sing only English songs?
  39. 39.In a group of 33 children, 22 play cricket, 14 play football and 4 play both. How many play only cricket?
  40. 40.In a group of 28 grown-ups, 17 drink tea, 15 drink coffee and 10 drink both. How many drink only coffee?

Answer key

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

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