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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 294 · 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 children, 21 enjoy drawing, 13 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
  2. 2.In a group of 50 grown-ups, 23 drink tea, 24 drink coffee and 10 drink both. How many drink at least one of the two?
  3. 3.In a group of 32 children, 16 enjoy drawing, 24 enjoy dancing and 10 enjoy both. How many enjoy only drawing?
  4. 4.In a group of 46 children, 28 play chess, 27 play carrom and 12 play both. How many play at least one of the two?
  5. 5.In a group of 29 children, 11 like mangoes, 13 like bananas and 4 like both. How many like only mangoes?
  6. 6.In a group of 35 children, 22 like mangoes, 18 like bananas and 7 like both. How many like only mangoes?
  7. 7.In a group of 37 children, 18 play cricket, 22 play football and 12 play both. How many play at least one of the two?
  8. 8.In a group of 29 grown-ups, 18 drink tea, 12 drink coffee and 6 drink both. How many drink exactly one of the two?
  9. 9.In a group of 25 grown-ups, 13 drink tea, 21 drink coffee and 10 drink both. How many drink only tea?
  10. 10.In a group of 46 children, 13 like mangoes, 29 like bananas and 10 like both. How many like neither of the two?
  11. 11.In a group of 39 children, 16 enjoy drawing, 32 enjoy dancing and 12 enjoy both. How many enjoy exactly one of the two?
  12. 12.In a group of 40 children, 27 sing Hindi songs, 17 sing English songs and 9 sing both. How many sing exactly one of the two?
  13. 13.In a group of 22 children, 8 sing Hindi songs, 16 sing English songs and 3 sing both. How many sing only English songs?
  14. 14.In a group of 33 children, 21 like mangoes, 12 like bananas and 3 like both. How many like neither of the two?
  15. 15.In a group of 29 children, 10 like mangoes, 10 like bananas and 5 like both. How many like at least one of the two?
  16. 16.In a group of 38 children, 28 play cricket, 16 play football and 11 play both. How many play only cricket?
  17. 17.In a group of 29 children, 6 play chess, 20 play carrom and 3 play both. How many play at least one of the two?
  18. 18.In a group of 49 children, 21 play chess, 24 play carrom and 11 play both. How many play at least one of the two?
  19. 19.In a group of 39 children, 8 play cricket, 24 play football and 4 play both. How many play at least one of the two?
  20. 20.In a group of 33 children, 12 play cricket, 28 play football and 8 play both. How many play at least one of the two?
  21. 21.In a group of 27 children, 13 sing Hindi songs, 13 sing English songs and 9 sing both. How many sing at least one of the two?
  22. 22.In a group of 44 children, 13 like mangoes, 20 like bananas and 2 like both. How many like only bananas?
  23. 23.In a group of 33 children, 9 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing only English songs?
  24. 24.In a group of 26 children, 13 sing Hindi songs, 12 sing English songs and 8 sing both. How many sing at least one of the two?
  25. 25.In a group of 25 grown-ups, 11 drink tea, 7 drink coffee and 2 drink both. How many drink only coffee?
  26. 26.In a group of 24 children, 12 play cricket, 9 play football and 6 play both. How many play at least one of the two?
  27. 27.In a group of 45 children, 31 play cricket, 19 play football and 11 play both. How many play exactly one of the two?
  28. 28.In a group of 47 children, 18 like mangoes, 20 like bananas and 5 like both. How many like exactly one of the two?
  29. 29.In a group of 27 children, 16 like mangoes, 10 like bananas and 5 like both. How many like at least one of the two?
  30. 30.In a group of 32 children, 15 enjoy drawing, 26 enjoy dancing and 11 enjoy both. How many enjoy only drawing?
  31. 31.In a group of 43 children, 25 play chess, 19 play carrom and 10 play both. How many play at least one of the two?
  32. 32.In a group of 43 grown-ups, 24 drink tea, 17 drink coffee and 10 drink both. How many drink neither of the two?
  33. 33.In a group of 30 children, 20 play cricket, 15 play football and 6 play both. How many play only cricket?
  34. 34.In a group of 28 children, 9 play cricket, 12 play football and 3 play both. How many play exactly one of the two?
  35. 35.In a group of 45 grown-ups, 27 drink tea, 19 drink coffee and 9 drink both. How many drink neither of the two?
  36. 36.In a group of 36 grown-ups, 17 drink tea, 7 drink coffee and 2 drink both. How many drink only tea?
  37. 37.In a group of 26 children, 20 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 44 children, 16 enjoy drawing, 29 enjoy dancing and 12 enjoy both. How many enjoy neither of the two?
  39. 39.In a group of 35 children, 16 sing Hindi songs, 11 sing English songs and 2 sing both. How many sing exactly one of the two?
  40. 40.In a group of 29 children, 12 enjoy drawing, 7 enjoy dancing and 2 enjoy both. How many enjoy at least one of the two?

Answer key

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

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