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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 21 · 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 35 grown-ups, 12 drink tea, 20 drink coffee and 3 drink both. How many drink exactly one of the two?
  2. 2.In a group of 42 children, 22 play chess, 18 play carrom and 7 play both. How many play neither of the two?
  3. 3.In a group of 35 children, 9 play cricket, 15 play football and 2 play both. How many play at least one of the two?
  4. 4.In a group of 58 children, 28 enjoy drawing, 27 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  5. 5.In a group of 34 grown-ups, 24 drink tea, 17 drink coffee and 8 drink both. How many drink exactly one of the two?
  6. 6.In a group of 38 children, 16 enjoy drawing, 26 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  7. 7.In a group of 25 children, 11 play chess, 11 play carrom and 4 play both. How many play at least one of the two?
  8. 8.In a group of 48 children, 23 play chess, 18 play carrom and 6 play both. How many play exactly one of the two?
  9. 9.In a group of 26 grown-ups, 14 drink tea, 8 drink coffee and 5 drink both. How many drink neither of the two?
  10. 10.In a group of 35 children, 22 like mangoes, 20 like bananas and 8 like both. How many like neither of the two?
  11. 11.In a group of 32 grown-ups, 11 drink tea, 20 drink coffee and 2 drink both. How many drink exactly one of the two?
  12. 12.In a group of 15 children, 11 like mangoes, 11 like bananas and 8 like both. How many like neither of the two?
  13. 13.In a group of 30 children, 6 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing neither of the two?
  14. 14.In a group of 32 children, 15 like mangoes, 26 like bananas and 11 like both. How many like exactly one of the two?
  15. 15.In a group of 36 children, 16 like mangoes, 12 like bananas and 3 like both. How many like at least one of the two?
  16. 16.In a group of 43 grown-ups, 26 drink tea, 15 drink coffee and 9 drink both. How many drink exactly one of the two?
  17. 17.In a group of 40 children, 22 play cricket, 6 play football and 3 play both. How many play exactly one of the two?
  18. 18.In a group of 27 children, 19 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing neither of the two?
  19. 19.In a group of 23 grown-ups, 13 drink tea, 13 drink coffee and 5 drink both. How many drink only tea?
  20. 20.In a group of 56 children, 30 play cricket, 24 play football and 10 play both. How many play exactly one of the two?
  21. 21.In a group of 26 children, 7 play cricket, 15 play football and 4 play both. How many play exactly one of the two?
  22. 22.In a group of 33 children, 25 enjoy drawing, 10 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
  23. 23.In a group of 43 children, 24 sing Hindi songs, 20 sing English songs and 8 sing both. How many sing only English songs?
  24. 24.In a group of 29 children, 19 like mangoes, 7 like bananas and 4 like both. How many like neither of the two?
  25. 25.In a group of 30 children, 17 enjoy drawing, 17 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  26. 26.In a group of 26 children, 12 play cricket, 17 play football and 4 play both. How many play neither of the two?
  27. 27.In a group of 35 children, 9 play chess, 23 play carrom and 5 play both. How many play neither of the two?
  28. 28.In a group of 52 children, 20 enjoy drawing, 28 enjoy dancing and 10 enjoy both. How many enjoy exactly one of the two?
  29. 29.In a group of 41 children, 24 play chess, 19 play carrom and 7 play both. How many play neither of the two?
  30. 30.In a group of 44 children, 21 sing Hindi songs, 27 sing English songs and 11 sing both. How many sing neither of the two?
  31. 31.In a group of 46 children, 23 play chess, 26 play carrom and 11 play both. How many play exactly one of the two?
  32. 32.In a group of 40 children, 19 play cricket, 18 play football and 8 play both. How many play only cricket?
  33. 33.In a group of 42 children, 18 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing at least one of the two?
  34. 34.In a group of 41 children, 19 enjoy drawing, 30 enjoy dancing and 11 enjoy both. How many enjoy neither of the two?
  35. 35.In a group of 23 children, 13 play cricket, 13 play football and 6 play both. How many play only football?
  36. 36.In a group of 53 children, 29 like mangoes, 29 like bananas and 12 like both. How many like exactly one of the two?
  37. 37.In a group of 39 children, 19 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  38. 38.In a group of 35 children, 18 enjoy drawing, 17 enjoy dancing and 7 enjoy both. How many enjoy at least one of the two?
  39. 39.In a group of 46 grown-ups, 24 drink tea, 21 drink coffee and 12 drink both. How many drink only tea?
  40. 40.In a group of 48 children, 18 sing Hindi songs, 20 sing English songs and 2 sing both. How many sing at least one of the two?

Answer key

  1. 26
  2. 9
  3. 22
  4. 43
  5. 25
  6. 33
  7. 18
  8. 29
  9. 9
  10. 1
  11. 27
  12. 1
  13. 6
  14. 19
  15. 25
  16. 23
  17. 22
  18. 3
  19. 8
  20. 34
  21. 14
  22. 25
  23. 12
  24. 7
  25. 1
  26. 1
  27. 8
  28. 28
  29. 5
  30. 7
  31. 27
  32. 11
  33. 36
  34. 3
  35. 7
  36. 34
  37. 25
  38. 28
  39. 12
  40. 36

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