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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 370 · 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, 24 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy at least one of the two?
  2. 2.In a group of 38 children, 19 like mangoes, 21 like bananas and 4 like both. How many like only bananas?
  3. 3.In a group of 35 children, 21 like mangoes, 20 like bananas and 11 like both. How many like at least one of the two?
  4. 4.In a group of 29 children, 20 play cricket, 16 play football and 12 play both. How many play exactly one of the two?
  5. 5.In a group of 28 children, 14 play cricket, 15 play football and 5 play both. How many play neither of the two?
  6. 6.In a group of 40 children, 23 sing Hindi songs, 17 sing English songs and 5 sing both. How many sing neither of the two?
  7. 7.In a group of 27 children, 21 like mangoes, 7 like bananas and 3 like both. How many like only bananas?
  8. 8.In a group of 46 children, 21 enjoy drawing, 22 enjoy dancing and 3 enjoy both. How many enjoy exactly one of the two?
  9. 9.In a group of 34 children, 24 play chess, 14 play carrom and 5 play both. How many play only chess?
  10. 10.In a group of 27 children, 14 play cricket, 11 play football and 6 play both. How many play at least one of the two?
  11. 11.In a group of 40 grown-ups, 18 drink tea, 28 drink coffee and 11 drink both. How many drink exactly one of the two?
  12. 12.In a group of 35 grown-ups, 15 drink tea, 21 drink coffee and 4 drink both. How many drink only coffee?
  13. 13.In a group of 34 children, 21 enjoy drawing, 8 enjoy dancing and 5 enjoy both. How many enjoy at least one of the two?
  14. 14.In a group of 32 children, 22 sing Hindi songs, 7 sing English songs and 2 sing both. How many sing exactly one of the two?
  15. 15.In a group of 40 grown-ups, 16 drink tea, 19 drink coffee and 2 drink both. How many drink only tea?
  16. 16.In a group of 54 grown-ups, 20 drink tea, 25 drink coffee and 6 drink both. How many drink exactly one of the two?
  17. 17.In a group of 53 children, 31 like mangoes, 21 like bananas and 12 like both. How many like neither of the two?
  18. 18.In a group of 20 children, 14 like mangoes, 12 like bananas and 8 like both. How many like neither of the two?
  19. 19.In a group of 31 children, 17 like mangoes, 14 like bananas and 9 like both. How many like only bananas?
  20. 20.In a group of 40 children, 25 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing only English songs?
  21. 21.In a group of 36 children, 13 enjoy drawing, 19 enjoy dancing and 9 enjoy both. How many enjoy at least one of the two?
  22. 22.In a group of 36 children, 14 enjoy drawing, 29 enjoy dancing and 9 enjoy both. How many enjoy neither of the two?
  23. 23.In a group of 52 children, 19 like mangoes, 31 like bananas and 12 like both. How many like only bananas?
  24. 24.In a group of 29 grown-ups, 15 drink tea, 11 drink coffee and 2 drink both. How many drink exactly one of the two?
  25. 25.In a group of 45 children, 18 play cricket, 28 play football and 10 play both. How many play exactly one of the two?
  26. 26.In a group of 50 children, 22 enjoy drawing, 21 enjoy dancing and 8 enjoy both. How many enjoy exactly one of the two?
  27. 27.In a group of 22 children, 13 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing exactly one of the two?
  28. 28.In a group of 24 children, 11 enjoy drawing, 10 enjoy dancing and 7 enjoy both. How many enjoy only dancing?
  29. 29.In a group of 22 children, 12 enjoy drawing, 8 enjoy dancing and 2 enjoy both. How many enjoy exactly one of the two?
  30. 30.In a group of 26 children, 9 like mangoes, 8 like bananas and 2 like both. How many like exactly one of the two?
  31. 31.In a group of 42 children, 10 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy only dancing?
  32. 32.In a group of 38 children, 22 like mangoes, 15 like bananas and 5 like both. How many like only mangoes?
  33. 33.In a group of 32 children, 21 play cricket, 9 play football and 6 play both. How many play only cricket?
  34. 34.In a group of 19 children, 14 enjoy drawing, 14 enjoy dancing and 10 enjoy both. How many enjoy at least one of the two?
  35. 35.In a group of 31 grown-ups, 15 drink tea, 15 drink coffee and 12 drink both. How many drink only tea?
  36. 36.In a group of 24 children, 13 sing Hindi songs, 20 sing English songs and 10 sing both. How many sing at least one of the two?
  37. 37.In a group of 29 children, 12 sing Hindi songs, 19 sing English songs and 6 sing both. How many sing only English songs?
  38. 38.In a group of 38 children, 22 sing Hindi songs, 11 sing English songs and 5 sing both. How many sing neither of the two?
  39. 39.In a group of 31 children, 15 play chess, 24 play carrom and 12 play both. How many play exactly one of the two?
  40. 40.In a group of 32 children, 11 play chess, 12 play carrom and 5 play both. How many play only chess?

Answer key

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

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