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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • The area under the curve $y = x^2 between the values $x = 1$ and $x = 7$ is closest to:
  • Alvin can do a piece of work in 9 days. Briggs is 50% more efficient than Alvin. The number of days it takes Briggs to do the same piece of work is:
  • Suppose a population is normally distributed with a mean of 24.6 and a standard deviation of 1.3. What percentage of data will lie between 25.3 and 26.8?
  • What time between 2 and 3 o’clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o’clock mark?
  • Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.
  • vSk9ZBx-2 Compute the length of belt if the belt will be cross-connected to make the pulleys rotate in opposite directions.
  • The diagonals of a parallelogram are 16 cm and 28 cm, respectively. One side of the parallelogram is 12 cm. Find the area of the parallelogram.
  • The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. Find the area of the smallest circle.
  • A triangle has a variable sides x, y, and z subject to the constraint that the perimeter P is fixed to 18 cm. What is the maximum possible area of the triangle?
  • 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?
  • The sum to infinity of $\dfrac{1}{7} + \dfrac{2}{7^2} + \dfrac{1}{7^3} + \dfrac{2}{7^4} + \ldots$ is:
  • A construction company wants to number new houses using digit plates only. If the company puts an order for 1212 plates how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).
  • Three circles of different diameter are tangent externally. The triangle formed by the line joining their centers has sides 16 cm, 20 cm, and 24 cm, respectively. Find the area of the smallest circle in square cm.
  • Using synthetic division, find the quotient if 2x^3 - 9x^2 + 10x - 3 is divided by x - 3.
  • It is a pressure force that acts as the body submerged in a liquid at rest which is equal to the weight of the fluid displaced by the submerged body either partially or completely.
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