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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 452 · 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 46 children, 14 play chess, 29 play carrom and 11 play both. How many play exactly one of the two?
  2. 2.In a group of 26 grown-ups, 13 drink tea, 8 drink coffee and 4 drink both. How many drink only tea?
  3. 3.In a group of 55 children, 29 enjoy drawing, 30 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  4. 4.In a group of 23 children, 5 enjoy drawing, 17 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  5. 5.In a group of 50 children, 24 like mangoes, 29 like bananas and 12 like both. How many like at least one of the two?
  6. 6.In a group of 42 grown-ups, 26 drink tea, 16 drink coffee and 6 drink both. How many drink exactly one of the two?
  7. 7.In a group of 32 children, 19 enjoy drawing, 16 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  8. 8.In a group of 43 children, 23 sing Hindi songs, 13 sing English songs and 5 sing both. How many sing exactly one of the two?
  9. 9.In a group of 33 grown-ups, 22 drink tea, 7 drink coffee and 4 drink both. How many drink neither of the two?
  10. 10.In a group of 23 children, 14 play cricket, 18 play football and 11 play both. How many play only cricket?
  11. 11.In a group of 35 children, 14 play cricket, 26 play football and 7 play both. How many play at least one of the two?
  12. 12.In a group of 32 children, 15 like mangoes, 17 like bananas and 7 like both. How many like at least one of the two?
  13. 13.In a group of 43 children, 16 play cricket, 25 play football and 12 play both. How many play only cricket?
  14. 14.In a group of 38 children, 10 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing only English songs?
  15. 15.In a group of 36 children, 19 play cricket, 23 play football and 8 play both. How many play exactly one of the two?
  16. 16.In a group of 32 children, 13 play cricket, 15 play football and 7 play both. How many play neither of the two?
  17. 17.In a group of 54 grown-ups, 21 drink tea, 30 drink coffee and 10 drink both. How many drink only tea?
  18. 18.In a group of 35 children, 15 play chess, 11 play carrom and 6 play both. How many play at least one of the two?
  19. 19.In a group of 28 children, 15 like mangoes, 17 like bananas and 12 like both. How many like only bananas?
  20. 20.In a group of 48 children, 32 sing Hindi songs, 26 sing English songs and 12 sing both. How many sing only English songs?
  21. 21.In a group of 30 children, 13 enjoy drawing, 22 enjoy dancing and 9 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 23 children, 11 sing Hindi songs, 5 sing English songs and 2 sing both. How many sing neither of the two?
  23. 23.In a group of 34 grown-ups, 22 drink tea, 12 drink coffee and 6 drink both. How many drink only coffee?
  24. 24.In a group of 26 children, 14 like mangoes, 11 like bananas and 4 like both. How many like at least one of the two?
  25. 25.In a group of 33 grown-ups, 9 drink tea, 13 drink coffee and 4 drink both. How many drink neither of the two?
  26. 26.In a group of 25 children, 13 play cricket, 10 play football and 6 play both. How many play only football?
  27. 27.In a group of 33 children, 22 like mangoes, 14 like bananas and 11 like both. How many like exactly one of the two?
  28. 28.In a group of 36 children, 20 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing exactly one of the two?
  29. 29.In a group of 44 children, 22 like mangoes, 17 like bananas and 7 like both. How many like neither of the two?
  30. 30.In a group of 48 children, 24 enjoy drawing, 16 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 30 children, 11 play chess, 17 play carrom and 6 play both. How many play neither of the two?
  32. 32.In a group of 40 children, 7 sing Hindi songs, 23 sing English songs and 3 sing both. How many sing neither of the two?
  33. 33.In a group of 20 children, 12 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  34. 34.In a group of 41 children, 19 play chess, 23 play carrom and 3 play both. How many play exactly one of the two?
  35. 35.In a group of 40 children, 21 play cricket, 16 play football and 4 play both. How many play only football?
  36. 36.In a group of 28 children, 10 enjoy drawing, 20 enjoy dancing and 6 enjoy both. How many enjoy only dancing?
  37. 37.In a group of 32 children, 13 like mangoes, 18 like bananas and 7 like both. How many like only mangoes?
  38. 38.In a group of 48 children, 24 enjoy drawing, 25 enjoy dancing and 8 enjoy both. How many enjoy only dancing?
  39. 39.In a group of 43 children, 29 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  40. 40.In a group of 44 children, 21 like mangoes, 21 like bananas and 4 like both. How many like exactly one of the two?

Answer key

  1. 21
  2. 9
  3. 20
  4. 15
  5. 41
  6. 30
  7. 25
  8. 26
  9. 8
  10. 3
  11. 33
  12. 25
  13. 4
  14. 20
  15. 26
  16. 11
  17. 11
  18. 20
  19. 5
  20. 14
  21. 17
  22. 9
  23. 6
  24. 21
  25. 15
  26. 4
  27. 14
  28. 22
  29. 12
  30. 18
  31. 8
  32. 13
  33. 15
  34. 36
  35. 12
  36. 14
  37. 6
  38. 17
  39. 41
  40. 34

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