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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 250 · 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 18 grown-ups, 7 drink tea, 7 drink coffee and 2 drink both. How many drink only tea?
  2. 2.In a group of 43 grown-ups, 13 drink tea, 28 drink coffee and 9 drink both. How many drink only tea?
  3. 3.In a group of 42 children, 22 play chess, 29 play carrom and 11 play both. How many play neither of the two?
  4. 4.In a group of 40 children, 28 sing Hindi songs, 20 sing English songs and 10 sing both. How many sing only English songs?
  5. 5.In a group of 38 children, 18 sing Hindi songs, 25 sing English songs and 12 sing both. How many sing neither of the two?
  6. 6.In a group of 30 children, 18 sing Hindi songs, 21 sing English songs and 10 sing both. How many sing at least one of the two?
  7. 7.In a group of 41 children, 13 enjoy drawing, 26 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  8. 8.In a group of 44 children, 16 play chess, 22 play carrom and 4 play both. How many play only carrom?
  9. 9.In a group of 24 grown-ups, 10 drink tea, 14 drink coffee and 3 drink both. How many drink neither of the two?
  10. 10.In a group of 18 children, 10 enjoy drawing, 11 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  11. 11.In a group of 48 children, 25 play cricket, 24 play football and 7 play both. How many play exactly one of the two?
  12. 12.In a group of 34 children, 13 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  13. 13.In a group of 36 grown-ups, 23 drink tea, 10 drink coffee and 3 drink both. How many drink only coffee?
  14. 14.In a group of 21 children, 8 play cricket, 13 play football and 5 play both. How many play neither of the two?
  15. 15.In a group of 24 grown-ups, 14 drink tea, 10 drink coffee and 3 drink both. How many drink only tea?
  16. 16.In a group of 47 children, 19 play chess, 23 play carrom and 4 play both. How many play only chess?
  17. 17.In a group of 40 children, 18 play cricket, 15 play football and 3 play both. How many play neither of the two?
  18. 18.In a group of 28 children, 14 enjoy drawing, 15 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  19. 19.In a group of 43 children, 14 enjoy drawing, 28 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  20. 20.In a group of 40 children, 8 play chess, 24 play carrom and 5 play both. How many play only carrom?
  21. 21.In a group of 40 children, 23 enjoy drawing, 15 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  22. 22.In a group of 39 children, 24 enjoy drawing, 19 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  23. 23.In a group of 53 children, 22 enjoy drawing, 24 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  24. 24.In a group of 29 children, 16 play cricket, 12 play football and 3 play both. How many play exactly one of the two?
  25. 25.In a group of 40 children, 14 enjoy drawing, 18 enjoy dancing and 7 enjoy both. How many enjoy neither of the two?
  26. 26.In a group of 30 children, 15 like mangoes, 23 like bananas and 9 like both. How many like neither of the two?
  27. 27.In a group of 17 grown-ups, 6 drink tea, 13 drink coffee and 3 drink both. How many drink only coffee?
  28. 28.In a group of 43 children, 16 play cricket, 20 play football and 6 play both. How many play only football?
  29. 29.In a group of 24 children, 9 sing Hindi songs, 12 sing English songs and 6 sing both. How many sing exactly one of the two?
  30. 30.In a group of 27 children, 13 play chess, 17 play carrom and 7 play both. How many play at least one of the two?
  31. 31.In a group of 40 children, 19 like mangoes, 22 like bananas and 2 like both. How many like only mangoes?
  32. 32.In a group of 39 children, 17 like mangoes, 15 like bananas and 5 like both. How many like only bananas?
  33. 33.In a group of 31 grown-ups, 22 drink tea, 9 drink coffee and 2 drink both. How many drink only tea?
  34. 34.In a group of 39 children, 9 play chess, 24 play carrom and 4 play both. How many play only carrom?
  35. 35.In a group of 40 children, 19 like mangoes, 14 like bananas and 3 like both. How many like only mangoes?
  36. 36.In a group of 32 children, 15 enjoy drawing, 8 enjoy dancing and 4 enjoy both. How many enjoy only dancing?
  37. 37.In a group of 23 grown-ups, 10 drink tea, 10 drink coffee and 2 drink both. How many drink only tea?
  38. 38.In a group of 40 children, 13 enjoy drawing, 21 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  39. 39.In a group of 24 children, 17 play cricket, 15 play football and 9 play both. How many play neither of the two?
  40. 40.In a group of 50 children, 20 play chess, 30 play carrom and 12 play both. How many play neither of the two?

Answer key

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

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