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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 447 · 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 26 children, 14 play chess, 8 play carrom and 5 play both. How many play at least one of the two?
  2. 2.In a group of 37 children, 24 like mangoes, 18 like bananas and 8 like both. How many like exactly one of the two?
  3. 3.In a group of 29 children, 13 play cricket, 9 play football and 4 play both. How many play at least one of the two?
  4. 4.In a group of 35 children, 11 sing Hindi songs, 18 sing English songs and 8 sing both. How many sing exactly one of the two?
  5. 5.In a group of 23 children, 14 play chess, 10 play carrom and 2 play both. How many play exactly one of the two?
  6. 6.In a group of 34 children, 16 like mangoes, 15 like bananas and 2 like both. How many like exactly one of the two?
  7. 7.In a group of 37 children, 14 sing Hindi songs, 21 sing English songs and 4 sing both. How many sing only English songs?
  8. 8.In a group of 23 grown-ups, 8 drink tea, 17 drink coffee and 3 drink both. How many drink only tea?
  9. 9.In a group of 18 grown-ups, 11 drink tea, 10 drink coffee and 5 drink both. How many drink only coffee?
  10. 10.In a group of 41 children, 25 like mangoes, 13 like bananas and 7 like both. How many like only mangoes?
  11. 11.In a group of 37 children, 18 enjoy drawing, 9 enjoy dancing and 4 enjoy both. How many enjoy neither of the two?
  12. 12.In a group of 38 children, 26 like mangoes, 19 like bananas and 8 like both. How many like only mangoes?
  13. 13.In a group of 45 grown-ups, 21 drink tea, 26 drink coffee and 7 drink both. How many drink exactly one of the two?
  14. 14.In a group of 24 children, 19 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  15. 15.In a group of 31 grown-ups, 10 drink tea, 17 drink coffee and 3 drink both. How many drink neither of the two?
  16. 16.In a group of 42 children, 16 play cricket, 21 play football and 10 play both. How many play only football?
  17. 17.In a group of 23 children, 15 like mangoes, 11 like bananas and 4 like both. How many like at least one of the two?
  18. 18.In a group of 34 children, 21 play cricket, 19 play football and 8 play both. How many play exactly one of the two?
  19. 19.In a group of 45 children, 14 play cricket, 23 play football and 5 play both. How many play only football?
  20. 20.In a group of 41 children, 21 enjoy drawing, 26 enjoy dancing and 10 enjoy both. How many enjoy only dancing?
  21. 21.In a group of 18 children, 11 like mangoes, 13 like bananas and 7 like both. How many like at least one of the two?
  22. 22.In a group of 26 children, 10 play cricket, 15 play football and 4 play both. How many play exactly one of the two?
  23. 23.In a group of 42 grown-ups, 9 drink tea, 20 drink coffee and 2 drink both. How many drink at least one of the two?
  24. 24.In a group of 28 children, 21 play chess, 11 play carrom and 8 play both. How many play only carrom?
  25. 25.In a group of 30 children, 20 like mangoes, 10 like bananas and 4 like both. How many like only bananas?
  26. 26.In a group of 56 children, 30 enjoy drawing, 24 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  27. 27.In a group of 30 children, 19 enjoy drawing, 15 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  28. 28.In a group of 49 children, 31 play chess, 28 play carrom and 12 play both. How many play only chess?
  29. 29.In a group of 38 children, 18 play cricket, 21 play football and 5 play both. How many play only football?
  30. 30.In a group of 35 children, 23 enjoy drawing, 20 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  31. 31.In a group of 55 children, 26 play cricket, 26 play football and 8 play both. How many play neither of the two?
  32. 32.In a group of 20 children, 12 sing Hindi songs, 11 sing English songs and 7 sing both. How many sing at least one of the two?
  33. 33.In a group of 44 children, 11 play cricket, 21 play football and 2 play both. How many play neither of the two?
  34. 34.In a group of 25 children, 11 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 41 children, 15 enjoy drawing, 25 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  36. 36.In a group of 52 children, 25 play chess, 25 play carrom and 6 play both. How many play only carrom?
  37. 37.In a group of 32 grown-ups, 22 drink tea, 13 drink coffee and 8 drink both. How many drink only coffee?
  38. 38.In a group of 30 children, 9 play cricket, 16 play football and 5 play both. How many play only cricket?
  39. 39.In a group of 38 children, 11 play chess, 24 play carrom and 7 play both. How many play only chess?
  40. 40.In a group of 23 grown-ups, 9 drink tea, 14 drink coffee and 4 drink both. How many drink only tea?

Answer key

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

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