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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • Solve for x if $\ln e^{\sqrt{x + 1}} = 3$.
  • Consider the arithmetic sequence whose first term is 3 and common difference is -5. Write an expression for the general term an. Hint: an = a1 + (n - 1)d.
  • Find the perimeter of the ellipse with major-axis = 10 and minor-axis = 8.
  • The sum to infinity of $\dfrac{1}{7} + \dfrac{2}{7^2} + \dfrac{1}{7^3} + \dfrac{2}{7^4} + \ldots$ is:
  • Solve for $x$ if $\arcsin (x + 2) = \pi/6$.
  • 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?
  • 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).
  • z1UpedR-1 repetition of digit is not allowed.
  • What is the coefficient of the term involving $x^{-3}$ in the expansion of $\left( 2x + \dfrac{2}{x} \right)^5?
  • Solve for x from the given equation: 2^x · 2^(x + 1) = 128.
  • Let $a$, $b$ be the lengths of the two legs of a right triangle, and $c$ be the length of its hypotenuse. What is the length of the altitude to the hypotenuse?
  • An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 800 hours and a standard deviation of 40 hours.
  • The denominator of a certain fraction is 1 more than the numerator. If the numerator is increased by 2 and 1/2, the value will be equal to the reciprocal of the original fraction. Find the original fraction.
  • Which of the following most nearly gives the value of x from $ \sqrt[4]{8 \sqrt[3]{2 \sqrt{8x}}} = 2 $?
  • w3TgYte-3 Determine the elevation of the PT.
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