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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • Simplify and solve for y: $y = \ln \left( \dfrac{e^x}{e^{x - 1}} \right)$.
  • Find the term that is independent of x in the expansion of $\left( 2 + \dfrac{3}{x^2} \right)\left( x - \dfrac{2}{x} \right)^6$.
  • Determine the value of a if (x + 2) is a factor of (x3 - ax2 + 7x + 10).
  • Find the 6th term of $1, ~ 2, ~ 5, ~ ... \, , ~ \frac{1}{2}(1 + 3^{n - 1})$.
  • A spider eats three flies a day. Until he fills his quota, he has an even chance of catching any fly that attempts to pass.
  • Solve for x: $5^{2x + 1} \times 7^{2x} = 175$.
  • If 1/4 of a mixture of rice and corn was replaced by corn alone, the resulting mixture becomes 55% corn. What was the percentage of corn in the original mixture?
  • A truck with axle loads of 40 kN and 60 kN on a wheel base of 5 m rolls across a 10-m span. Compute the maximum bending moment in kN m.
  • A merchant buys goods at 25% off the list price. He desires to mark the goods so that he can give a discount of 20% on the marked price and still clear a profit of 25% on the selling price. What per cent of the list price must he mark the goods?
  • A furniture manufacturer has two machines, but only one can be used at a time.
  • It is the property of a material to absorb energy from a continuously applied load until it ruptures.
  • In an open channel flow, the discharge at a certain section can be measured by the use of the equation: $Q = \frac{2}{3}C \sqrt{2g} ~ LH^{3/2} + \frac{8}{15}C \sqrt{2g} ~ \tan (\frac{1}{2}\theta) ~ H^{5/2}$
  • From the given right triangle what is the value of $3 \sin^2 \varphi \, \sec \varphi$ in terms of $x$.
  • The two sides of a triangle are 25 cm and 26 cm, while the altitude to the third side is 24 cm. Find the area of the triangle.
  • 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.
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