These are Multiple Choice Questions (MCQ) from Exams posted before May 2024. These MCQs get orphaned after the system upgrade.
Find the area of the spherical lune of radius 2.5 m and a central angle of 15°.
What is the number that is one half of one quarter of one tenth of 400?
Two men starting at the same point walk in opposite direction for 4 meters turn left and walk another 3 meters. What is the distance between them?
Find the radius of the circumscribing circle of the regular octagon having an area of 320 cm2.
P3000 quarterly for ten years accumulates to P181,205.95, find the nominal rate of interest compounded quarterly.
Find the area reflected by the triangle ABC on the xy-plane with A(1, 10, 10), B(6, 2, 4) and C(12, 6, 1).
For a spherical triangle: A = 63deg 19.6min; b = 124deg 17.8min; and c = 83deg 16.6min, find a.
vSk9ZBx-3 Find the equation of the given line in the uv-plane.
R3y8Yuq-1 determine the volume of earthwork by end area.
R3y8Yuq-2 determine the volume of earthwork by prismoidal formula.
R3y8Yuq-3 determine the volume of earthwork by prismoidal correction formula.
vSk9ZBx-1 Find the uv-coordinates of the y-intercept of the given line.
vSk9ZBx-2 Find the uv-coordinates of the x-intercept of the given line.
jPxd93H-1 Find the magnitude of the sum $\mathbf{A} + \mathbf{B}$
jPxd93H-2 Find the dot-product $\mathbf{A} \cdot \mathbf{B}$
jPxd93H-3 Find the magnitude of the cross-product $\mathbf{A} \times \mathbf{B}$
z1UpedR-1 repetition of digit is not allowed.
z1UpedR-3 the numbers are odd and repetition of digit is not allowed.
Three adjacent faces of a rectangular parallelepiped measures 8 square inches, ...
A Ferris wheel, 9 m in radius, is rotating such that the riders will experience zero gravity at the topmost part of the wheel. How many revolutions it made in every minute?
How many three-digit even numbers can be made out from the digits 1, 2, 3, 4, 5, 6, and 7 if repetition of digit is not allowed?
An altar for ancient rituals is in the form of a cube of edge 1.5 m. If you double the size of the cube, what will be the dimension of its edges?
Determine the coordinates of the center of the circle defined by the equation $x^2 + y^2 + 4x - 6y - 12 = 0$.
Compute the cost of lumber necessary to resurface a foot-bridge 16 feet wide and 150 feet long with 2-inches planks, if lumber is P48.00 per board foot.
Find the volume of a circular cone having a base radius of 20 cm and axis 30 cm, if the axis makes an angle of 60° from the base.
A sphere is circumscribing a cubical box having a volume of 8000 cm3. Compute the volume of the space between the cubical box and the sphere.
A pole cast a shadow 15 m long when the angle of elevation of the sun is 61°. If the pole has lean 15° from the vertical directly towards the sun, what is the length of the pole?
An airplane flew from Davao whose latitude is 14° N and longitude of 121° 30' E on a course of S 30° W and maintaining uniform altitude. At what longitude will the plane cross the equator?
Determine the distance from point (2, 1) to the line 4x - 3y + 5 = 0.
What is the length of the line with slope 4/3 from point (6, 4) to the y-axis?
Find the equation of the radical axis of the two circles having equations of $x^2 + y^2 + 4x + 6y - 3 = 0$ and $x^2 + y^2 + 12x + 14y + 60 = 0$.
Given $f(x) = (x - 4)(x + 3) + 4$. When $f(x)$ is divided by $(x - k)$, the remainder is k, find the value of k.
The geometric mean and arithmetic mean of two numbers are respectively 8 and 17. Find the harmonic mean.
In the CE Board examinations, the probability that an examinee will pass in each subject is 0.80. What is the probability that the examinee will pass at least two subjects.
vSk9ZBx-1 Compute the length of belt if both pulleys will rotate in the same direction.
vSk9ZBx-2 Compute the length of belt if the belt will be cross-connected to make the pulleys rotate in opposite directions.
vSk9ZBx-3 Determine the distance of the point from the center of the bigger pulley where the belt will cross when cross-connected.
The scale on the map is 1:n. A square field has an area of 1600 sq. m. is represented by 1 cm2, the value of n is:
If five masons can earn P675 in 6 days, how much can 12 carpenters receiving the same rate earn in 10 days?
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?
At what time between three and four o’clock is the minute hand the same distance from VIII as the hour hand is from XII?
Today, I am one more than eleven times as old as my son. 9 years from now, I will be seven more than three times as old as him. How old is my son?
It is now between 9 am and 10 o'clock am. In 4 minutes, the hour hand of the clock will be directly opposite the position occupied by the minute hand 3 minutes ago. What time is it?
Dr. Reed, arriving late at the lab one morning, pulled out his watch and said, “I must have it seen to. I have noticed that the minute and the hour hand are exactly together every 65 minutes.” Does Dr. Reed’s watch gain or lose, and how much per hour?
The product of two consecutive negative even integers is 24. Find the sum of the numbers.
Twice the larger of two numbers is three more than five times the smaller, and the sum of four times the larger and three times the smaller is 71. What is the smaller number?
Three times Dick's age plus Tom's age equals twice Harry's age. Double the cube of Harry's age is equal to three times the cube of Dick's age added to the cube of Tom's age. Their respective ages are relatively prime to each other. How old is Harry?
The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number exceeds the original number by 9. From the original number, calculate the product of tens digit to the square of the units digit.
Find two consecutive positive even integers such that the square of the second, decreased by twice the first is 124. Find the smaller number.
One number is 25 greater than a second number. If the lesser number is subtracted from 3 times the greater number, the difference is 195. Find the product of two numbers.