These are Multiple Choice Questions (MCQ) from Exams posted before May 2024. These MCQs get orphaned after the system upgrade.
If sec 2A = 1 / sin 13A, determine the value of A in degrees.
In a lifting machine, a load of 50 kN is moved by a distance of 10 cm using an effort of 10 kN which moves through a distance of 1 m, the efficiency of the machine is…
A businessman wishes to earn 7% on his capital after payment of taxes. If the income from an available investment will be taxed at an average rate of 42%, what minimum rate of return, before payment of taxes, must the investment offer to be justified?
A rectangle with sides parallel to the axes has vertices at (-3, 2), (2, 5), and (-3, 5). Find the coordinate of the fourth vertex.
CPM factory employs 60 workers. If 4 out of every 5 workers are married, how many married workers are employed by the factory?
How long will each side of the hexagon with perimeter 108 in.?
The inner surface area in sq. m. of an open (both ends) cylinder 2 m in height and 3 m in diameter is:
A pump discharges 50 ton of water per hour at the height of 8 m. The overall efficiency of the pumping system being 69%. Calculate the energy consumed by the pump in 2 hours, expressed in MJ.
If two points in the number line have coordinates 1 and 7, find the coordinate of a point on the line which is twice as far from 1 as from 7.
You deposit \$1,000 into a 9% account today. At the end of two years, you will deposit another \$3,000.
A hot air balloon rising straight up from a level field is track by a range finder 500 ft from the point of lift off.
What is the present worth of \$100 annuity starting at the end of the third year and continuing to the end of the fourth year, if the annual interest rate is 8%?
The total number of diagonals of an N-gon is 77, then what is N?
Find the slope of the line passing through the points (2, 6) and (2, -4).
Solve for x: x - 1 / x = 0.
If the interest rate on an account is 8.5% compounded yearly, approximately how many years will it take to triple the amount?
Given a right triangle where the hypotenuse is r, the acute angle theta, the opposite vertical side y and adjacent side x.
Two forces of 20 units and 30 units act at right angles. What is the magnitude of the resultant force?
An automobile tire is 30 inches in diameter. How fast in rpm does the wheel turn on the axle when the automobile maintains a speed of 50 mph?
A vending machine dispenses gumballs in a regular repeating cycle of ten different colors. If a quarter buys 3 gumballs, what is the minimum amount of money that must be spent before three gumballs of the same color are dispense?
A circle is described by the equation x^2 + y^2 - 16x = 0. What is the length of the chord that is 4 units from the center of the circle?
A wire with length of 52 cm is cut into two unequal lengths. Each par is bent to form a square. If the sum of the area of the two squares is 97 sq. cm., what is the area of the smaller square?
A man and a boy can do in 15 days a piece of work which could be done by 7 men and 9 boys in 2 days.
In an organization there are CE’s, GE’s and ME’s. The sum of their ages is 2160
A and B compete in a race. A runs at a constant rate of 126 m/min while B runs 145 m the first minute, 143 m the second minute, 141 m the third minute and so on.
If the population of a city increases by 10% each year, during which year will the population doubled?
In the CE Board examinations, the probability that an examinee will pass in each subject is 0.80.
If the value of the piece of property decreases by 10% while the tax rate on the property increases by 10%, what is the effect on the taxes?
How many different fractions less than 1 can be formed using the numbers 2, 3, 5, 7, and 9?
The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. Find the area of the smallest circle.
In a prison camp, 100 soldiers have been given provisions good only for 10 days. If five soldiers die every day, except on the first day, in how many days will the provisions last?
A and B run a 1.5-kilometer race. In the first heat, A gives B a start of 11 meters and beats him by 57 seconds. In the second heat, A gives B a start of 81 seconds and is beaten by 88 meters. Find the rate of A in km/hr.
Three boys and two girls are to be picked from a class of 15 in which 9 are girls. How many ways can this be done?
If 1/4 of a mixture of rice and corn was replaced by corn alone, the resulting mixture becomes 55% corn. What was the percentage of corn in the original mixture?
A student in a chemistry laboratory wants to form a 32-milliliter mixture of two solutions to contain 30% acid. Solution A contains 42% acid and solution B contains 18% acid. How many milliliters of each solution must be used?
Find d so that x + 6 is a factor of x^4 + 4x^3 - 21x^2 + dx + 108.
Solve for C from the Partial Fraction
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?
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 overtake car A, in minutes?
A tugboat traveling at 40 kph leaves port at 4 PM carrying off some contraband goods. A patrol boat assigned to stop the goods leaves the same post an hour later and drove at 90 kph. What time will the patrol boat overtake the tugboat?
What time after 3:00 o’clock would the hour-hand and the minute-hand of a continuously driven clock subtends an angle of 45° for the second time?
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?
In a survey concerning the smoking habits of consumer it was found that 55% smoke cigarette A, 50% smoke cigarette B, 40% smoke cigarette C...
Given that w varies directly as the product of x and y and inversely as the square of z and that w = 4 when x = 2, y = 6, and z = 3. Find the value of w when x = 1, y = 4, and z = 2.
Maria is 36 years old. Maria was twice as old as Anna was when Maria was as old as Anna is now. How old is Ana now?
CPM factory employs 60 workers. If 4 out of every 5 workers are married, how many married workers are employed by the factory?
A sum of money amounting to P5.15 consists of 10 cents and 25 cents. If there are 32 coins in all, how many 25 cents are there?
If $f(x) = \left( 3\sqrt{x} - 4 \right)^2$, then how much does $f(x)$ increase as x goes from 2 to 3?
A can do a job 50% faster than B and 20% faster than C. Working altogether, they can finish the job in 4 days. How many days will it take A to finish the job if he works alone?
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?