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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • Find the 7th term of the geometric sequence beginning with 6, 9, 27/2, …
  • Mario’s hat is four more than Alex’s hat and one-half that of Gabriel’s hat. If the total number of hats is 24, how many hats does Alex have?
  • Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.
  • The point in the stress-strain test at which the material will have an appreciable elongation without any increase of load.
  • It is a branch of engineering mechanics that deals specifically with quantifying the motion of objects in terms of displacement, velocity and acceleration.
  • The total surface area of a closed cylindrical tank is 153.94 square meter. If the volume is to be maximum, what is its height in meters.
  • Eight books are to be arranged on a bookshelf. Three of the books are by the same author. In how many ways can the book be arranged on the bookshelf if the books by the same author are to stay together?
  • Find the value of $x = \sin^2 \varphi - \cos^2 \varphi$ if $\varphi$ is $\pi / 4$ or $45^\circ$.
  • The pressure P of wind on a sail varies jointly as the area A of the sail and the square of the velocity V of the wind.
  • How many 3-digit numbers greater than 300 can be made out from digits 0, 1, 2, 3, 4, 5, and 6 if repetition of digit is not allowed?
  • 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.
  • Solve for x: log_3 67 = 2x.
  • At what value of x will the function $f(x) = \dfrac{x - 4}{x + 2}$ is discontinuous?
  • The top of the tower signal at B 2000 m away from A was sighted through a transit with recorded vertical angle of 3deg30min.
  • A mechanical device which when installed in the pipe will extract energy from the system.
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