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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • Evaluate the $\tan (\arctan 3 - \arctan 2)$.
  • Which of the following is equal to $\dfrac{\sin \theta}{1 + \cos \theta}$.
  • A vending machine dispenses gumballs in a regular repeating cycle of ten different colors. If a quarter buys 3 gumballs, what is the minimum amount of money that must be spent before three gumballs of the same color are dispense?
  • DNfS204-1 Calculate the uniform reaction of the beam in kN/m.
  • It is a point formed by intersecting the internal bisector of one angle of a triangle to the external bisectors of the other two angles.
  • An equilateral triangle is inscribed within a circle whose diameter is 12 cm. In this triangle a circle is inscribed; and in this circle, another equilateral triangle is inscribed; and so on indefinitely. Find the sum of the areas of all the triangles.
  • Find the area of a sector of a circle of radius 6 cm and a central angle of 60°.
  • Find the area reflected by the triangle ABC on the xy-plane with A(1, 10, 10), B(6, 2, 4) and C(12, 6, 1).
  • One of the rational methods of determining the reservoir-capacity yield analysis in dam design is known as:
  • In the figure, $\varphi$ represents the angle subtended by a 5 ft picture when viewed from point P that is 7 ft below the picture and 14 ft away from the wall on which the picture hangs.
  • A pyramid of blocks has 26 blocks in the bottom row and 2 fewer blocks in each successive row thereafter. How many blocks are there in the pyramid?
  • A line is divided into 12 equal parts. If the measure of each part is a prime integer, what is the possible length of the line?
  • Allan and Bernard start at the same time from two places 136 km apart and travel toward each other. Allan travels 10 kph and Bernard 8 kph. If Bernard rests 1 hour on the way, in how many hours will they meet?
  • An airline company known for its promo fare receives on an average 9.7 complaints per day. Using Poisson probability distribution formula, find the probability that on a certain day this airline company will receive exactly 8 complaints.
  • The stability of a floating body is determined by the relative position of the center of gravity of the floating body and its metacenter.
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