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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • Solve for x if $e^{\ln (2x - 1)} = 5$.
  • Spherical degree is a unit of a spherical area taken as 1/720 of the surface of the sphere. How many spherical degrees hemispheres have?
  • Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.
  • Find the quotient of x^3 - x^2 - 5x + 6 divided by x - 2.
  • If $x$ is positive and $y$ is negative, which of the following expressions is always positive?
  • Find the area of the region that lies inside the circle $r = 3 \sin \theta$ and outside the cardioid $r = 1 + \sin \theta$.
  • Solve for C from the Partial Fraction
  • XPpFh97-2 The reaction at the inclined side.
  • The volume of fluid passing a section of the stream per unit time is known as:
  • XPpFh97-3 The reaction at the bottom.
  • Solve for $x$ if $\arcsin (x + 2) = \pi/6$.
  • Determine the equation of an open upward parabola with (2, 1) and (-4, 1) as ends of latus rectum.
  • A circle 8 cm in radius is tangent to a line at A. Another circle 3 cm in radius is tangent also to the same line at B. Find the distance AB if the two circles are tangent externally to each other.
  • One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls.
  • A businessman wishes to earn 7% on his capital after payment of taxes. If the income from an available investment will be taxed at an average rate of 42%, what minimum rate of return, before payment of taxes, must the investment offer to be justified?
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