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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • In a gambling game a man is paid \$50 if he gets all heads or all tails when 3 coins are tossed, and he pays out \$30 if either 1 or 2 heads show. What is his expected gain?
  • A commuter drives from Mandaue to Bogo 120 km away at an average speed of 60 kph and returned to Mandaue at an average speed of 40 kph. What was the average speed of the commuter for the whole journey?
  • Find the value of $x = \sin^2 \varphi - \cos^2 \varphi$ if $\varphi$ is $\pi / 4$ or $45^\circ$.
  • Two regular pentagons are concentric to each other. One of which has sides of 20 m and the other has sides of 10 m. If their corresponding vertices are in the same direction, find the area inside the larger pentagon but outside the smaller pentagon.
  • Find two consecutive positive even integers such that the square of the second, decreased by twice the first is 124. Find the smaller number.
  • The sides of a triangle measure 10 cm, 14 cm, and 8 cm, respectively. What is the smallest interior angle of this triangle?
  • 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?
  • 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.
  • If the population of a city increases by 10% each year, during which year will the population doubled?
  • Solve for x if $e^{\ln (2x - 1)} = 5$.
  • It is a point formed by intersecting the three medians of a triangle.
  • If the interest rate on an account is 8.5% compounded yearly, approximately how many years will it take to triple the amount?
  • For triangle BOA, B is on the y-axis, O is the origin, and A is on the x-axis. Point C(5, 2) is on the line AB. Find the length of AB if the area of the triangle is 36 unit2.
  • Consider the arithmetic sequence whose first term is 3 and common difference is -5. Write an expression for the general term an. Hint: an = a1 + (n - 1)d.
  • The median of a right triangle drawn to the hypotenuse is 3 cm long and makes an angle of 60° with it. Find the area of the triangle.
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