Age Problem and Geometry Question
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Questions and Answers

How old is Lewis now?

  • 34 years old
  • 30 years old (correct)
  • 26 years old
  • 38 years old
  • What is the sum of the cosines of the internal angles of an isosceles right triangle?

  • $2\sqrt{2}$
  • $\sqrt{2}$
  • $2$ (correct)
  • $1 + \sqrt{2}$
  • What is the distance between point P and centre O in the circle scenario described?

  • $3$ cm
  • $1$ cm
  • $\sqrt{3}$ cm (correct)
  • $2$ cm
  • After taking away the semicircle of diameter AO and rotating along AB by 360 degrees, what is the volume of the resulting solid?

    <p>$\frac{8\pi}{3}$ cubic cm</p> Signup and view all the answers

    What is the equation of the axis of the segment AB with points A(0,0) and B(1,1)?

    <p>$y = x$</p> Signup and view all the answers

    What is the ratio between the area of the circle circumscribed around a square and the area of the circle inscribed in that square?

    <p>$4:1$</p> Signup and view all the answers

    How many ways are there to order the numbers 28, 29, 36, 43, 55 if each odd number is in an odd position and each even number is in an even position?

    <p>12 ways</p> Signup and view all the answers

    What is the minimum number of attempts Uncle Scrooge has to make to be sure to open his electronic vault?

    <p>252 attempts</p> Signup and view all the answers

    How many 20 euros banknotes does Martha have, considering she can't break a banknote lower than 5 euros?

    <p>11 banknotes</p> Signup and view all the answers

    What did Countagain prove based on his disapproval of Countalot's conjecture about Incredible numbers having at least one with 8 distinct prime factors?

    <p>Not all Incredible numbers have at least 8 distinct prime factors</p> Signup and view all the answers

    In how many days will the whole pond surface be completely covered by archaebacteria if initially two bacteria are put in the pond?

    <p>$29$ days</p> Signup and view all the answers

    What percentage of the inhabitants own only a fridge in the town of Sparagna?

    <p>25%</p> Signup and view all the answers

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