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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • A coin is so unbalanced that it may come both heads in 2 tosses as it may come tails in a single toss. What is the probability of getting a head in a single toss?
  • Solve for y if y = log_100 10.
  • A lead pencil whose ends are regular hexagons was cut from a cylindrical piece of wood with the least waste.
  • If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?
  • A non-square rectangle is inscribed in a square so that each vertex of the rectangle is at the trisection point of the different sides of the square. Find the ratio of the area of the rectangle to the area of the square.
  • A line with equation ax + by = 3 passes through (6, 3) and (-1, -1). Find a and b without finding the slope.
  • Find the probability that in a group of eight students at least two people have the same birthday.
  • By the conditions of a will, the sum of P25,000 is left to a girl to be held in a trust fund by her guardian until it amounts to P45,000. When will the girl receive the money if the fund is invested at 8% compounded quarterly?
  • An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 800 hours and a standard deviation of 40 hours.
  • Two forces of 20 units and 30 units act at right angles. What is the magnitude of the resultant force?
  • In a family of five children, what is the chance that there are three boys and two girls?
  • It is a point formed by intersecting the three medians of a triangle.
  • The sequence a, b, c is an AP and the sequence a, b, c + 1 is in GP. If a = 1, find the value of c.
  • The inner surface area in sq. m. of an open (both ends) cylinder 2 m in height and 3 m in diameter is:
  • Find the value of $x = \sin^2 \varphi - \cos^2 \varphi$ if $\varphi$ is $\pi / 4$ or $45^\circ$.
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