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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 96 · 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 32 children, 16 enjoy drawing, 20 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  2. 2.In a group of 30 children, 17 play chess, 20 play carrom and 8 play both. How many play only carrom?
  3. 3.In a group of 32 children, 8 like mangoes, 18 like bananas and 3 like both. How many like only mangoes?
  4. 4.In a group of 35 children, 13 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy only drawing?
  5. 5.In a group of 38 grown-ups, 18 drink tea, 15 drink coffee and 7 drink both. How many drink neither of the two?
  6. 6.In a group of 36 grown-ups, 11 drink tea, 18 drink coffee and 5 drink both. How many drink neither of the two?
  7. 7.In a group of 23 children, 11 play cricket, 13 play football and 3 play both. How many play neither of the two?
  8. 8.In a group of 39 children, 12 sing Hindi songs, 19 sing English songs and 5 sing both. How many sing only Hindi songs?
  9. 9.In a group of 30 children, 15 play cricket, 5 play football and 2 play both. How many play neither of the two?
  10. 10.In a group of 46 grown-ups, 15 drink tea, 26 drink coffee and 9 drink both. How many drink only tea?
  11. 11.In a group of 21 children, 14 play cricket, 7 play football and 3 play both. How many play exactly one of the two?
  12. 12.In a group of 32 children, 11 play cricket, 15 play football and 6 play both. How many play at least one of the two?
  13. 13.In a group of 43 children, 15 play cricket, 26 play football and 9 play both. How many play exactly one of the two?
  14. 14.In a group of 41 children, 22 play chess, 20 play carrom and 12 play both. How many play only carrom?
  15. 15.In a group of 36 children, 18 play chess, 24 play carrom and 7 play both. How many play exactly one of the two?
  16. 16.In a group of 47 children, 25 like mangoes, 26 like bananas and 7 like both. How many like at least one of the two?
  17. 17.In a group of 45 grown-ups, 16 drink tea, 22 drink coffee and 7 drink both. How many drink only coffee?
  18. 18.In a group of 32 grown-ups, 15 drink tea, 23 drink coffee and 8 drink both. How many drink neither of the two?
  19. 19.In a group of 49 grown-ups, 24 drink tea, 20 drink coffee and 4 drink both. How many drink exactly one of the two?
  20. 20.In a group of 39 grown-ups, 21 drink tea, 6 drink coffee and 3 drink both. How many drink only coffee?
  21. 21.In a group of 25 children, 15 like mangoes, 20 like bananas and 12 like both. How many like only mangoes?
  22. 22.In a group of 27 children, 9 play cricket, 17 play football and 3 play both. How many play neither of the two?
  23. 23.In a group of 53 children, 26 play cricket, 24 play football and 7 play both. How many play only football?
  24. 24.In a group of 32 children, 11 sing Hindi songs, 18 sing English songs and 3 sing both. How many sing only Hindi songs?
  25. 25.In a group of 45 grown-ups, 26 drink tea, 11 drink coffee and 6 drink both. How many drink exactly one of the two?
  26. 26.In a group of 38 children, 16 play chess, 29 play carrom and 10 play both. How many play only carrom?
  27. 27.In a group of 31 children, 13 sing Hindi songs, 22 sing English songs and 7 sing both. How many sing only English songs?
  28. 28.In a group of 45 grown-ups, 19 drink tea, 20 drink coffee and 4 drink both. How many drink at least one of the two?
  29. 29.In a group of 30 children, 11 like mangoes, 9 like bananas and 2 like both. How many like at least one of the two?
  30. 30.In a group of 46 children, 22 enjoy drawing, 19 enjoy dancing and 4 enjoy both. How many enjoy exactly one of the two?
  31. 31.In a group of 32 children, 26 like mangoes, 11 like bananas and 7 like both. How many like neither of the two?
  32. 32.In a group of 32 grown-ups, 10 drink tea, 12 drink coffee and 4 drink both. How many drink only coffee?
  33. 33.In a group of 38 children, 20 sing Hindi songs, 5 sing English songs and 2 sing both. How many sing at least one of the two?
  34. 34.In a group of 46 children, 25 enjoy drawing, 21 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  35. 35.In a group of 32 children, 24 enjoy drawing, 14 enjoy dancing and 8 enjoy both. How many enjoy neither of the two?
  36. 36.In a group of 31 children, 26 enjoy drawing, 12 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
  37. 37.In a group of 63 children, 30 enjoy drawing, 29 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 26 children, 15 play chess, 16 play carrom and 8 play both. How many play neither of the two?
  39. 39.In a group of 56 children, 30 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  40. 40.In a group of 32 children, 15 play cricket, 16 play football and 11 play both. How many play neither of the two?

Answer key

  1. 20
  2. 12
  3. 5
  4. 8
  5. 12
  6. 12
  7. 2
  8. 7
  9. 12
  10. 6
  11. 15
  12. 20
  13. 23
  14. 8
  15. 28
  16. 44
  17. 15
  18. 2
  19. 36
  20. 3
  21. 3
  22. 4
  23. 17
  24. 8
  25. 25
  26. 19
  27. 15
  28. 35
  29. 18
  30. 33
  31. 2
  32. 8
  33. 23
  34. 14
  35. 2
  36. 3
  37. 20
  38. 3
  39. 20
  40. 12

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