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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • A circle with radius 6 has half its area removed by cutting off a border of uniform width. Find the width of the border.
  • The product of two consecutive negative even integers is 24. Find the sum of the numbers.
  • From where he stands, one step toward the cliff would send the drunken man over the edge.
  • Calculate $\sqrt{2 + \sqrt{2 + \sqrt{2 + \dots}}}$
  • R3y8Yuq-3 determine the volume of earthwork by prismoidal correction formula.
  • 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.
  • Solve for x if $\ln e^{\sqrt{x + 1}} = 3$.
  • In how many ways can 4 couples be seated at a round table with the men and women alternating?
  • Compute the sum of the integers from 1 to 1000.
  • The sum of three numbers is 7 and the sum their reciprocals is 7/5. If these three numbers form into a GP, find their product.
  • Solve for <em>x</em> if $\dfrac{3(2x - 1)^{1/2}}{x - 3} - \dfrac{(2x - 1)^{3/2}}{(x - 3)^2} = 0$
  • A strip of 640 m2 is sold from a triangular field whose sides are 96 m, 72 m, and 80 m. The strip is of uniform width h and has one of its sides parallel to the longest side of the field. Find the width of the strip.
  • If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?
  • Find the probability that a person tossing three coins will get either all heads or all tails for the second time on the fifth toss.
  • 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.
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