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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 665 · 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 41 grown-ups, 31 drink tea, 19 drink coffee and 12 drink both. How many drink at least one of the two?
  2. 2.In a group of 56 children, 26 play chess, 26 play carrom and 11 play both. How many play only chess?
  3. 3.In a group of 40 children, 17 play chess, 15 play carrom and 3 play both. How many play neither of the two?
  4. 4.In a group of 30 children, 13 like mangoes, 15 like bananas and 3 like both. How many like exactly one of the two?
  5. 5.In a group of 45 children, 22 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 47 children, 24 play cricket, 22 play football and 10 play both. How many play only cricket?
  7. 7.In a group of 41 children, 20 sing Hindi songs, 18 sing English songs and 12 sing both. How many sing neither of the two?
  8. 8.In a group of 22 children, 11 enjoy drawing, 10 enjoy dancing and 6 enjoy both. How many enjoy at least one of the two?
  9. 9.In a group of 43 grown-ups, 22 drink tea, 19 drink coffee and 3 drink both. How many drink only tea?
  10. 10.In a group of 23 children, 13 play chess, 16 play carrom and 9 play both. How many play only carrom?
  11. 11.In a group of 25 children, 10 sing Hindi songs, 15 sing English songs and 4 sing both. How many sing neither of the two?
  12. 12.In a group of 42 children, 21 play cricket, 20 play football and 6 play both. How many play only football?
  13. 13.In a group of 38 children, 25 play chess, 11 play carrom and 6 play both. How many play neither of the two?
  14. 14.In a group of 46 children, 24 play cricket, 26 play football and 9 play both. How many play only football?
  15. 15.In a group of 35 children, 20 enjoy drawing, 13 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  16. 16.In a group of 23 children, 7 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  17. 17.In a group of 43 children, 14 play cricket, 26 play football and 7 play both. How many play at least one of the two?
  18. 18.In a group of 27 children, 17 play chess, 13 play carrom and 4 play both. How many play only chess?
  19. 19.In a group of 32 children, 15 enjoy drawing, 18 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  20. 20.In a group of 50 grown-ups, 28 drink tea, 28 drink coffee and 10 drink both. How many drink neither of the two?
  21. 21.In a group of 41 grown-ups, 21 drink tea, 19 drink coffee and 12 drink both. How many drink only coffee?
  22. 22.In a group of 28 children, 8 play chess, 19 play carrom and 2 play both. How many play neither of the two?
  23. 23.In a group of 38 children, 21 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  24. 24.In a group of 21 children, 7 like mangoes, 12 like bananas and 2 like both. How many like exactly one of the two?
  25. 25.In a group of 31 children, 7 sing Hindi songs, 19 sing English songs and 3 sing both. How many sing at least one of the two?
  26. 26.In a group of 45 children, 13 play chess, 25 play carrom and 5 play both. How many play at least one of the two?
  27. 27.In a group of 45 children, 23 sing Hindi songs, 28 sing English songs and 9 sing both. How many sing only English songs?
  28. 28.In a group of 24 children, 8 play cricket, 12 play football and 4 play both. How many play only cricket?
  29. 29.In a group of 36 grown-ups, 21 drink tea, 21 drink coffee and 8 drink both. How many drink only tea?
  30. 30.In a group of 25 children, 10 play cricket, 11 play football and 5 play both. How many play only football?
  31. 31.In a group of 38 grown-ups, 21 drink tea, 19 drink coffee and 6 drink both. How many drink only coffee?
  32. 32.In a group of 26 children, 13 play chess, 11 play carrom and 3 play both. How many play only chess?
  33. 33.In a group of 30 children, 10 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  34. 34.In a group of 33 grown-ups, 13 drink tea, 27 drink coffee and 10 drink both. How many drink only coffee?
  35. 35.In a group of 22 children, 11 play chess, 9 play carrom and 2 play both. How many play only carrom?
  36. 36.In a group of 34 children, 7 like mangoes, 23 like bananas and 4 like both. How many like at least one of the two?
  37. 37.In a group of 30 children, 15 play chess, 19 play carrom and 5 play both. How many play at least one of the two?
  38. 38.In a group of 23 grown-ups, 11 drink tea, 15 drink coffee and 5 drink both. How many drink neither of the two?
  39. 39.In a group of 25 children, 7 play chess, 8 play carrom and 2 play both. How many play only chess?
  40. 40.In a group of 29 children, 13 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy only dancing?

Answer key

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

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