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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • The king’s minter boxes his coins 100 to a box. In each box he puts 1 false coin. The king suspects the minter and from each of 100 boxes draws a random coin and has it tested. What is the chance the minter’s peculations go undetected?
  • A sequence of numbers is defined by the relation $\dfrac{a_{n + 1}}{a_n} = 3^n$ and it is known that $a_1 = 1$. Find the value of $\log_3 a_{100}$.
  • A product has a current selling price of P325. If its selling price is expected to decline at the rate of 10% per annum because of obsolescence, what will be its selling price four years hence?
  • If the interest rate on an account is 8.5% compounded yearly, approximately how many years will it take to triple the amount?
  • A store has three kinds of toys given in every purchase. What is the probability of getting all three toys in five purchases?
  • Solve for y if $y = (e^x + e^{-x})^2 - (e^x - e^{-x})^2$.
  • Find the probability that a person tossing three coins will get either all heads or all tails for the second time on the fifth toss.
  • 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 $x$.
  • sIg3ZYd-2 How many stations are there in the curve?
  • The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. The area of the smallest circle is:
  • Evaluate $\begin{vmatrix}8 & -20 \\ 4 & 10\end{vmatrix}$.
  • The Venturi meter is used to measure the presence of flow in the pipe system, the section of the pipe with the smallest pressure is called:
  • w varies jointly with x and y and inversely with the square of z. If w = 12 when x = 3, y = 8, and z = 2, find the constant of proportionality k.
  • FgoE76U-2 Find the velocity at t = 0.
  • A hollow glass bowl in the shape of a sphere of radius 4” is filled with water to a depth of 3”. If the water flows out through a small hole in the bottom so that the level drops 2”, how much water has escaped in in^3?
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