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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • Pass a plane through a cube so that the section formed will be a regular hexagon. If the edge of the cube is 2 units, find the area of this section.
  • The price of an article is cut by 10%. To restore it to its former value the new price must be increased by:
  • A substance goes into a solution at the rate of 25% of the undissolved portion each minute. If the initial amount was 64/27 grams, what amount (in grams) is undissolved after 6 minutes?
  • What is the probability that a waitress will refuse to serve alcoholic beverages to only 2 minors if she randomly selects the I.D.’s of 6 students from among 9 students of which 4 are not of legal age?
  • If $a^x = c^q = b$ and $c^y = a^z = d$, then:
  • Using synthetic division, find the quotient if 2x^3 - 9x^2 + 10x - 3 is divided by x - 3.
  • One pipe can empty a tank in 3 hours. A second pipe takes 4 hours to complete the same job. How long will it take to empty the tank if both pipes are used?
  • 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.
  • If one third of the air in the tank is removed by each stroke of an air pump, what part of the total air will be removed in 6 strokes?
  • 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 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 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).
  • Calculate $\sqrt{2 + \sqrt{2 + \sqrt{2 + \dots}}}$
  • An arch 18 m high has a form of a parabola with a vertical axis. The length of a horizontal beam placed across the arch 8 m from the top is 64 m. Find the width at the bottom.
  • If $f(x) = \left( 3\sqrt{x} - 4 \right)^2$, then how much does $f(x)$ increase as x goes from 2 to 3?
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