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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 337 · 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 42 children, 13 like mangoes, 21 like bananas and 2 like both. How many like at least one of the two?
  2. 2.In a group of 42 children, 21 enjoy drawing, 28 enjoy dancing and 11 enjoy both. How many enjoy at least one of the two?
  3. 3.In a group of 21 children, 5 play chess, 15 play carrom and 2 play both. How many play only carrom?
  4. 4.In a group of 40 children, 8 enjoy drawing, 21 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  5. 5.In a group of 40 children, 25 play chess, 15 play carrom and 8 play both. How many play only chess?
  6. 6.In a group of 52 children, 19 play chess, 21 play carrom and 3 play both. How many play only carrom?
  7. 7.In a group of 27 children, 17 play cricket, 7 play football and 4 play both. How many play only cricket?
  8. 8.In a group of 43 children, 23 enjoy drawing, 17 enjoy dancing and 6 enjoy both. How many enjoy neither of the two?
  9. 9.In a group of 40 children, 20 enjoy drawing, 24 enjoy dancing and 12 enjoy both. How many enjoy at least one of the two?
  10. 10.In a group of 34 children, 13 sing Hindi songs, 19 sing English songs and 7 sing both. How many sing only English songs?
  11. 11.In a group of 39 children, 13 play cricket, 26 play football and 6 play both. How many play only cricket?
  12. 12.In a group of 39 children, 28 play cricket, 14 play football and 10 play both. How many play at least one of the two?
  13. 13.In a group of 47 children, 16 play chess, 26 play carrom and 7 play both. How many play exactly one of the two?
  14. 14.In a group of 19 children, 9 like mangoes, 10 like bananas and 6 like both. How many like only bananas?
  15. 15.In a group of 36 children, 20 sing Hindi songs, 11 sing English songs and 3 sing both. How many sing neither of the two?
  16. 16.In a group of 37 grown-ups, 19 drink tea, 15 drink coffee and 4 drink both. How many drink only coffee?
  17. 17.In a group of 43 grown-ups, 17 drink tea, 22 drink coffee and 7 drink both. How many drink only tea?
  18. 18.In a group of 29 grown-ups, 14 drink tea, 18 drink coffee and 5 drink both. How many drink neither of the two?
  19. 19.In a group of 40 children, 23 play cricket, 23 play football and 7 play both. How many play exactly one of the two?
  20. 20.In a group of 51 children, 30 play cricket, 28 play football and 10 play both. How many play neither of the two?
  21. 21.In a group of 34 children, 26 enjoy drawing, 14 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  22. 22.In a group of 52 children, 24 enjoy drawing, 31 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  23. 23.In a group of 27 children, 11 play cricket, 15 play football and 6 play both. How many play only cricket?
  24. 24.In a group of 56 grown-ups, 23 drink tea, 22 drink coffee and 4 drink both. How many drink neither of the two?
  25. 25.In a group of 44 grown-ups, 18 drink tea, 15 drink coffee and 4 drink both. How many drink only coffee?
  26. 26.In a group of 35 children, 21 sing Hindi songs, 20 sing English songs and 11 sing both. How many sing at least one of the two?
  27. 27.In a group of 33 children, 19 enjoy drawing, 17 enjoy dancing and 11 enjoy both. How many enjoy exactly one of the two?
  28. 28.In a group of 35 grown-ups, 14 drink tea, 11 drink coffee and 2 drink both. How many drink exactly one of the two?
  29. 29.In a group of 38 children, 17 enjoy drawing, 12 enjoy dancing and 6 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 43 children, 19 like mangoes, 18 like bananas and 9 like both. How many like neither of the two?
  31. 31.In a group of 39 children, 13 play cricket, 20 play football and 5 play both. How many play at least one of the two?
  32. 32.In a group of 26 children, 10 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing neither of the two?
  33. 33.In a group of 42 grown-ups, 23 drink tea, 11 drink coffee and 7 drink both. How many drink only tea?
  34. 34.In a group of 32 grown-ups, 11 drink tea, 11 drink coffee and 3 drink both. How many drink only coffee?
  35. 35.In a group of 35 children, 16 sing Hindi songs, 27 sing English songs and 10 sing both. How many sing exactly one of the two?
  36. 36.In a group of 35 children, 11 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing exactly one of the two?
  37. 37.In a group of 21 children, 8 sing Hindi songs, 14 sing English songs and 2 sing both. How many sing at least one of the two?
  38. 38.In a group of 35 children, 16 like mangoes, 30 like bananas and 12 like both. How many like only bananas?
  39. 39.In a group of 32 children, 15 play cricket, 20 play football and 5 play both. How many play only cricket?
  40. 40.In a group of 48 grown-ups, 26 drink tea, 29 drink coffee and 9 drink both. How many drink only tea?

Answer key

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

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