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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.
  • The following three terms are in geometric progression: x, 2x + 7, 10x – 7. What is the 6th term?
  • 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?
  • Solve for x if $5^{x^2} = 625$.
  • Selena invested a certain amount of money at a rate of 12% compounded bi-monthly. How do we calculate the effective rate of Selena's investment?
  • After 4/5 of his mangoes spoiled, Albert bought enough from Bryan so that each then had 1/3 as many as first and Albert had 80 more than Bryan. How many had Albert at first?
  • xO3wmaY-1 What is the amount of the deposit after five years?
  • Find the area of a sector of a circle of radius 6 cm and a central angle of 60°.
  • The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to have contracted this disease, what is the probability that at least 10 survive?
  • xO3wmaY-3 If the monthly deposit after two years is increased to P1,000, and if the interest rate is 18% compounded monthly, what is the amount of the deposit after five years?
  • Compute the sum of the integers from 1 to 1000.
  • The total surface area of a closed cylindrical tank is 153.94 square meter. If the volume is to be maximum, what is its height in meters.
  • Find the product of the roots of the quadratic equation $4x^2 + 2x - 1 = 0$.
  • A spider eats three flies a day. Until he fills his quota, he has an even chance of catching any fly that attempts to pass.
  • The shipment of items is divided into two portions. If the difference between the portions is one-third of their average, what is the ratio of the larger portion to the smaller portion?
  • Find the first derivative of y with respect to x of the following function, when x = 2.$$ y = \dfrac{\ln x^2}{\sin 2x} $$
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