Old name: MSTE - Mathematics, Surveying, and Transportation Engineering
Official name: Applied Mathematics, Surveying, Principles of Transportation and Highway Engineering, Construction Management and Methods
Common name: Math
Calculus; Differential Equations; Engineering Data Analysis; Numerical Methods; Physics for Engineers; Economics; Construction Surveying and Layout; Materials for Construction; Highway Engineering; Construction Occupational Safety and Health; Transportation Engineering; Quantity Surveying; Construction Management Principles and Methods
Problem
The following interior angles (in degree) of a triangular traverse were measured with the same precision.
| Angle | Value | No. of Measurement |
|---|---|---|
| A | 41 | 2 |
| B | 77 | 6 |
| C | 63 | 2 |
What is the most probable value of angle C, in degrees?
| A. 62.423° | C. 62.571° |
| B. 62.874° | D. 62.745° |
Problem
An engineering company prepares an estimate for a job. The cost of preparing the estimate is Php10,000. The amount of profit over and above the Php10,000 is Php25,000 if their estimate is accepted. The probability that their estimate will be accepted 0.7 and the probability that their estimate will not be accepted is 0.3. What is the expected profit?
| A. Php12,500 | C. Php14,500 |
| B. Php13,500 | D. Php10,500 |
Problem
A conveyor is dispersing sands which forms into a conical pile whose height is approximately 4/3 of its base radius. Determine how fast the volume of the conical sand is changing when the radius of the base is 3 feet, if the rate of change of the radius is 3 inches per minute.
| A. 2π ft/min | C. 3π ft/min |
| B. 4π ft/min | D. 5π ft/min |
Problem
A Toyota Land Cruiser drives east from point A at 30 kph. Another car, Ford Expedition, starting from B at the same time, drives S30°W toward A at 60 kph. B is 30 km from A. How fast in kph is the distance between two cars changing after 30 minutes? Hint: Use the Cosine Law.
| A. 70 kph | C. 55 kph |
| B. 80 kph | D. 60 kph |
Problem
A new kind of atom smasher is to be composed of two tangents and a circular arc which is concave toward the point of intersection of the two tangents. Each tangent and the arc of the circle is 1 mile long, what is the radius of the circle? Use 1 mile = 5280 ft.
| A. 1437 ft. | C. 1347 ft. |
| B. 1734 ft. | D. 1374 ft. |
Problem
A conical tank in upright position (vertex uppermost) stored water of depth 2/3 that of the depth of the tank. Calculate the ratio of the volume of water to that of the tank.
| A. 4/5 | C. 26/27 |
| B. 18/19 | D. 2/3 |
Problem
Find y’ if x = 2 arccos 2t and y = 4 arcsin 2t.
| A. 2 | C. 4 |
| B. -2 | D. -4 |
