Problem
A contractor estimates that he could finish a project in 15 days if he has 20 men. At the start, he hired 10 men then after 6 days, 10 more men are added. How many days was the project delayed?
| A. 5 | C. 6 |
| B. 3 | D. 4 |
Problem
Solve for x, y, and z from the following simultaneous equations.
$x^2 - yz = 3$ ← Equation (1)
$y^2 - xz = 4$ ← Equation (2)
$z^2 - xy = 5$ ← Equation (3)
Problem
A box contains 5 defective and 195 non-defective cell phones. A quality control engineer selects 2 cell phones at random without replacement. What is the probability that exactly 1 is defective?
| A. 0.0190 | C. 0.0390 |
| B. 0.0490 | D. 0.0290 |
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
Smith and Jones, both 50% marksmen, decide to fight a duel in which they exchange alternate shots until one is hit. What are the odds in favor of the man who shoots first?
| A. 1/3 | C. 2/3 |
| B. 1/2 | D. 1/4 |
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 |
Situation
A simply supported beam has a span of 12 m. The beam carries a total uniformly distributed load of 21.5 kN/m.
1. To prevent excessive deflection, a support is added at midspan. Calculate the resulting moment (kN·m) at the added support.
| A. 64.5 | C. 258.0 |
| B. 96.8 | D. 86.0 |
2. Calculate the resulting maximum positive moment (kN·m) when a support is added at midspan.
| A. 96.75 | C. 108.84 |
| B. 54.42 | D. 77.40 |
3. Calculate the reaction (kN) at the added support.
| A. 48.38 | C. 161.2 |
| B. 96.75 | D. 80.62 |
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