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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 199 · 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 29 grown-ups, 17 drink tea, 9 drink coffee and 2 drink both. How many drink only tea?
  2. 2.In a group of 50 grown-ups, 32 drink tea, 15 drink coffee and 12 drink both. How many drink exactly one of the two?
  3. 3.In a group of 30 children, 18 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  4. 4.In a group of 45 grown-ups, 29 drink tea, 15 drink coffee and 11 drink both. How many drink only tea?
  5. 5.In a group of 50 children, 20 enjoy drawing, 30 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  6. 6.In a group of 41 children, 27 like mangoes, 12 like bananas and 8 like both. How many like only bananas?
  7. 7.In a group of 31 children, 14 enjoy drawing, 15 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  8. 8.In a group of 33 grown-ups, 15 drink tea, 15 drink coffee and 10 drink both. How many drink only tea?
  9. 9.In a group of 64 children, 30 enjoy drawing, 31 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  10. 10.In a group of 42 children, 20 enjoy drawing, 11 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  11. 11.In a group of 29 children, 22 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?
  12. 12.In a group of 40 children, 26 play cricket, 14 play football and 7 play both. How many play at least one of the two?
  13. 13.In a group of 22 children, 15 enjoy drawing, 7 enjoy dancing and 3 enjoy both. How many enjoy neither of the two?
  14. 14.In a group of 29 children, 15 sing Hindi songs, 21 sing English songs and 9 sing both. How many sing only English songs?
  15. 15.In a group of 50 grown-ups, 31 drink tea, 26 drink coffee and 11 drink both. How many drink neither of the two?
  16. 16.In a group of 43 children, 19 like mangoes, 14 like bananas and 5 like both. How many like exactly one of the two?
  17. 17.In a group of 33 children, 17 play chess, 15 play carrom and 4 play both. How many play exactly one of the two?
  18. 18.In a group of 24 children, 11 like mangoes, 11 like bananas and 4 like both. How many like only bananas?
  19. 19.In a group of 32 children, 15 sing Hindi songs, 13 sing English songs and 4 sing both. How many sing only Hindi songs?
  20. 20.In a group of 44 children, 25 sing Hindi songs, 20 sing English songs and 7 sing both. How many sing only English songs?
  21. 21.In a group of 45 children, 24 play chess, 28 play carrom and 9 play both. How many play neither of the two?
  22. 22.In a group of 33 children, 16 play cricket, 19 play football and 9 play both. How many play only cricket?
  23. 23.In a group of 27 children, 12 play chess, 15 play carrom and 8 play both. How many play only chess?
  24. 24.In a group of 26 children, 6 enjoy drawing, 18 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
  25. 25.In a group of 19 children, 11 play chess, 9 play carrom and 4 play both. How many play neither of the two?
  26. 26.In a group of 32 grown-ups, 19 drink tea, 12 drink coffee and 6 drink both. How many drink neither of the two?
  27. 27.In a group of 23 children, 10 enjoy drawing, 14 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  28. 28.In a group of 31 children, 12 sing Hindi songs, 8 sing English songs and 4 sing both. How many sing only English songs?
  29. 29.In a group of 15 children, 8 like mangoes, 9 like bananas and 3 like both. How many like only mangoes?
  30. 30.In a group of 33 children, 13 play chess, 15 play carrom and 6 play both. How many play only carrom?
  31. 31.In a group of 39 grown-ups, 10 drink tea, 19 drink coffee and 3 drink both. How many drink neither of the two?
  32. 32.In a group of 23 children, 15 enjoy drawing, 12 enjoy dancing and 7 enjoy both. How many enjoy exactly one of the two?
  33. 33.In a group of 23 children, 8 like mangoes, 13 like bananas and 4 like both. How many like exactly one of the two?
  34. 34.In a group of 31 children, 9 enjoy drawing, 19 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 20 children, 8 enjoy drawing, 9 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  36. 36.In a group of 41 grown-ups, 14 drink tea, 23 drink coffee and 8 drink both. How many drink at least one of the two?
  37. 37.In a group of 47 children, 30 play cricket, 24 play football and 10 play both. How many play exactly one of the two?
  38. 38.In a group of 41 grown-ups, 20 drink tea, 16 drink coffee and 3 drink both. How many drink at least one of the two?
  39. 39.In a group of 47 children, 23 enjoy drawing, 13 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 39 children, 22 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing at least one of the two?

Answer key

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

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