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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • Three numbers whose sum is 42 are in GP. If 1 is subtracted from the first, 3 from three from the second, and 11 from the third, the remainders will be in AP. Find the smallest number.
  • Decompose (6x^2 + x - 37) / (x - 3)(x + 2)(x - 1) into partial fractions A/(x - 3) + B/(x + 2) + C/(x - 1) and solve for C.
  • A vertical summit curve has tangent grades of +2.6% and -1.5%. Using h1 = 1.37 m and h2 = 0.1 m, calculate the minimum length of curve if the required sight distance is 140 m.
  • A disease is known to affect 1 in 10,000 people. It can be fatal, but it is treatable if it is detected early.
  • A spherical zone of one base of height $h$ is cut from a sphere of radius $r$. What is the volume of the zone?
  • 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.
  • Wl4g9k7-1 Compute the center-line spacing between joists.
  • 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 airline does a survey of the weights of adult passengers traveling on its flights. It finds that 5% weigh more than 84.3 kg and 2% weigh less than 57.2 kg.
  • A man passed one-sixth of his life in childhood, one-twelfth in youth, and one-seventh more as a bachelor.
  • In a family of five children, what is the chance that there are three boys and two girls?
  • Aljur owns a 24mm prime camera lens worth P10,000. He sell it to Brandon at a 10% profit based on the worth of the lens. Brandon sells the lens back to Aljur at a 10% loss. Then:
  • Using synthetic division, find the quotient if 2x^3 - 9x^2 + 10x - 3 is divided by x - 3.
  • Going against the wind, a domestic plane can travel 5/8 of the distance it can travel in one hour if it is going with the wind. If the plane can fly 300 kilometers an hour in calm air, what is the velocity of the wind?
  • 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).
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