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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 467 · 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 55 children, 26 like mangoes, 25 like bananas and 6 like both. How many like at least one of the two?
  2. 2.In a group of 38 children, 14 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy only dancing?
  3. 3.In a group of 45 children, 21 like mangoes, 20 like bananas and 7 like both. How many like neither of the two?
  4. 4.In a group of 33 children, 24 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  5. 5.In a group of 31 children, 12 play chess, 12 play carrom and 6 play both. How many play only carrom?
  6. 6.In a group of 35 children, 22 play cricket, 11 play football and 5 play both. How many play at least one of the two?
  7. 7.In a group of 39 children, 24 enjoy drawing, 18 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  8. 8.In a group of 47 children, 19 like mangoes, 20 like bananas and 3 like both. How many like exactly one of the two?
  9. 9.In a group of 24 children, 13 play cricket, 11 play football and 5 play both. How many play only cricket?
  10. 10.In a group of 34 children, 13 sing Hindi songs, 15 sing English songs and 6 sing both. How many sing at least one of the two?
  11. 11.In a group of 45 children, 17 play cricket, 22 play football and 2 play both. How many play neither of the two?
  12. 12.In a group of 20 children, 8 like mangoes, 9 like bananas and 3 like both. How many like exactly one of the two?
  13. 13.In a group of 39 grown-ups, 18 drink tea, 17 drink coffee and 11 drink both. How many drink neither of the two?
  14. 14.In a group of 23 children, 8 like mangoes, 12 like bananas and 3 like both. How many like neither of the two?
  15. 15.In a group of 28 children, 14 play chess, 7 play carrom and 2 play both. How many play at least one of the two?
  16. 16.In a group of 30 children, 19 like mangoes, 16 like bananas and 10 like both. How many like exactly one of the two?
  17. 17.In a group of 43 grown-ups, 23 drink tea, 24 drink coffee and 8 drink both. How many drink only coffee?
  18. 18.In a group of 64 children, 30 play cricket, 31 play football and 12 play both. How many play at least one of the two?
  19. 19.In a group of 28 children, 12 sing Hindi songs, 16 sing English songs and 5 sing both. How many sing exactly one of the two?
  20. 20.In a group of 43 children, 10 enjoy drawing, 23 enjoy dancing and 4 enjoy both. How many enjoy at least one of the two?
  21. 21.In a group of 56 children, 27 play chess, 32 play carrom and 12 play both. How many play at least one of the two?
  22. 22.In a group of 51 grown-ups, 23 drink tea, 30 drink coffee and 10 drink both. How many drink only tea?
  23. 23.In a group of 31 children, 21 like mangoes, 8 like bananas and 5 like both. How many like neither of the two?
  24. 24.In a group of 48 grown-ups, 14 drink tea, 27 drink coffee and 8 drink both. How many drink neither of the two?
  25. 25.In a group of 19 children, 10 like mangoes, 12 like bananas and 5 like both. How many like at least one of the two?
  26. 26.In a group of 45 children, 17 enjoy drawing, 26 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 47 children, 15 play chess, 29 play carrom and 12 play both. How many play exactly one of the two?
  28. 28.In a group of 43 children, 16 enjoy drawing, 23 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  29. 29.In a group of 21 children, 10 like mangoes, 11 like bananas and 6 like both. How many like only mangoes?
  30. 30.In a group of 23 children, 13 like mangoes, 5 like bananas and 2 like both. How many like exactly one of the two?
  31. 31.In a group of 38 children, 19 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy only drawing?
  32. 32.In a group of 29 children, 23 play cricket, 6 play football and 3 play both. How many play neither of the two?
  33. 33.In a group of 55 grown-ups, 21 drink tea, 26 drink coffee and 7 drink both. How many drink only tea?
  34. 34.In a group of 40 children, 11 like mangoes, 19 like bananas and 4 like both. How many like at least one of the two?
  35. 35.In a group of 32 children, 10 play cricket, 17 play football and 5 play both. How many play at least one of the two?
  36. 36.In a group of 34 grown-ups, 24 drink tea, 18 drink coffee and 12 drink both. How many drink only coffee?
  37. 37.In a group of 48 children, 16 like mangoes, 26 like bananas and 9 like both. How many like only mangoes?
  38. 38.In a group of 48 children, 27 sing Hindi songs, 24 sing English songs and 12 sing both. How many sing neither of the two?
  39. 39.In a group of 31 children, 10 play cricket, 27 play football and 7 play both. How many play only cricket?
  40. 40.In a group of 51 grown-ups, 22 drink tea, 20 drink coffee and 3 drink both. How many drink neither of the two?

Answer key

  1. 45
  2. 19
  3. 11
  4. 29
  5. 6
  6. 28
  7. 14
  8. 33
  9. 8
  10. 22
  11. 8
  12. 11
  13. 15
  14. 6
  15. 19
  16. 15
  17. 16
  18. 49
  19. 18
  20. 29
  21. 47
  22. 13
  23. 7
  24. 15
  25. 17
  26. 10
  27. 20
  28. 11
  29. 4
  30. 14
  31. 13
  32. 3
  33. 14
  34. 26
  35. 22
  36. 6
  37. 7
  38. 9
  39. 3
  40. 12

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