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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • Find the area enclosed by the curve $r^2 = 64 \cos 2\theta$.
  • If three coins are tossed, how many possible ways are there of at least one coin showing tails?
  • If $\theta$ is an acute angle of a right triangle where $\sin \theta = x/2$, compute the value of $\sin 2\theta$ in terms of $x$.
  • A man made P2,500 quarterly payment to an account earning 1.5% monthly. Find the accumulated amount after 10 years.
  • The resistance of the flow of electricity through a wire depends on the length and thickness of the wire.
  • Solve for x if (x + 2) log_b b^x = x.
  • Solve for y if $y = (e^x + e^{-x})^2 - (e^x - e^{-x})^2$.
  • Simplify the radical shown: $\sqrt{a\sqrt{a\sqrt{a}}}$
  • A hemispherical dome is 16 meters in diameter. If the bottom 1-meter strip of the dome’s surface painted, what is the total painted area?
  • Find the sum of the first terms of the progression 2, 4, 8, 16,…
  • If $\log_x 2 = 1.2a$ and $\log_x 3 = 1.5a$, find $\log_x \sqrt{12}$ .
  • Solve for <em>x</em> if $\dfrac{3(2x - 1)^{1/2}}{x - 3} - \dfrac{(2x - 1)^{3/2}}{(x - 3)^2} = 0$
  • Find the exact value of $\cos [ \, \arcsin (2/3) \, ]$.
  • Determine the amplitude of $y = 4 \cos 2x$.
  • A disease is known to affect 1 in 10,000 people. It can be fatal, but it is treatable if it is detected early.
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