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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • If $a^x = c^q = b$ and $c^y = a^z = d$, then:
  • Car A drives East at 20 kph at half an hour earlier than car B that started at the same point at 50 kph. How long will car B overtakes car A, in minutes?
  • A circle 8 cm in radius is tangent to a line at A. Another circle 3 cm in radius is tangent also to the same line at B. Find the distance AB if the two circles are tangent externally to each other.
  • The resistance of the flow of electricity through a wire depends on the length and thickness of the wire.
  • At what time between three and four o’clock is the minute hand the same distance from VIII as the hour hand is from XII?
  • Find the area bounded by the y-axis and the lines y = 6x - 1 and y = 0.25x + 3.
  • How many 3-digit numbers greater than 300 can be made out from digits 0, 1, 2, 3, 4, 5, and 6 if repetition of digit is not allowed?
  • What is the full capacity in cubic meter of a water tank having the shape of a frustum of a pyramid with lower and upper base areas of 32 m^2 and 8 m^2 and altitude of 6 m?
  • What is the length of the latus rectum of the curve y^2 = -16x?
  • 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 rectangle ABCD which measures 18 by 24 units is folded once, perpendicular to diagonal AC, so that the opposite vertices A and C coincide. Find the length of the fold.
  • In an open channel flow, the discharge at a certain section can be measured by the use of the equation: $Q = \frac{2}{3}C \sqrt{2g} ~ LH^{3/2} + \frac{8}{15}C \sqrt{2g} ~ \tan (\frac{1}{2}\theta) ~ H^{5/2}$
  • If $a$ and $b$ are integers, then $a+b$ is also an integer. This is true by which of the following properties?
  • Evaluate 2000C2 + 2000C5 + 2000C8 + ... + 2000C29.
  • A sequence of numbers is defined by the relation $\dfrac{a_{n + 1}}{a_n} = 3^n$ and it is known that $a_1 = 1$. Find the value of $\log_3 a_{100}$.
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