MSTE BOGUS
A right triangle is in the first quadrant with a vertex at the origin and the other two vertices on the x- and y-axes. If the hypotenuse passes through the point (0.5, 4), find the vertices of the triangle so that the length of the hypotenuse is the shortest. (0,0), (2.5,0), (0,5) (0,0), (5,0), (0,2.5) (0,0), (4.5,0), (0,4.5) (0,0), (4,0), (0,3)
(0,0), (2.5,0), (0,5)
What is the magnitude of the drag force that is being experienced by a sphere of radius 1.2nmm moving at a speed of 0.022 m/sec while dropping down a liquid of viscosity 1.17 Pa. sec? Hint: F=6πrμν 0.0006 N 0.0004 N 0.0005 N 0.0007 N
0.0006 N
A test consists of 6 questions and to pass the test, a student has to answer at least 4 questions correctly, each question has three possible answers, of which only one is correct. If a student guesses on each question, what is the probability that the student will pass the test? 0.08 0.10 0.90 0.98
0.10
A machine works on 14 identical components that function independently. It will stop working if 3 or more components fail. If the probability that a component fails is equal to 0.1, find the probability that the machine will be working. 0.84 0.16 0.11 0.23
0.16
Determine the percent uncertainty in the area of a square that is 6.08 + 0.01 m on a side. 0.21% 0.27% 0.24% 0.30%
0.27%
A farmer wants to fence an area of 1.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What would be the dimension of the field so as to minimize the cost of the fence? 1000 ft x 1500 ft 2000 ft x 750 ft 1250 ft by 1200 ft 1224.74 ft by 1224.74 ft
1000 ft x 1500 ft
At Sta. 2 + 500 at elevation 50 m of a railroad, a +8% grade meets a -0.4% grade. The maximum allowable change in grade per station is 0.2%. Determine the length of the curve. 120 100 110 130
120
A 50-kg crate is pulled 40 m long a horizontal floor by a constant force exerted by a person Fp = 100 N, which acts at 37° angle. The floor is rough and exerts a friction force F = 50 N. Determine the work done on the crate. 1200 J 2000 J 4000 J 4300 J
1200 J
A hemispherical tank of radius 20 ft. is filled with water to a 15 ft. depth. Find the work done in pumping all the water to a point 10 ft. above the hemispherical tank. 216,475.36 lb-ft 13,508,063 lb-ft 2,123,623.37 lb-ft 1,231,326.11 lb-ft
13,508,063 lb-ft
A copper wire has a nominal breaking strength of 300 MPa and a reduction of area of 77%. Calculate the true strain st at the point of fracture. Hint: The instantaneous strain ds is equal to 174% 274% 247% 147%
147%
The wavelength of a deep-water wave during the typhoon at the port of Cagayan de Oro is 310 m. The depth of still water is located 0.90 m below the centerline of the rotation of the wave. If the steepness of the wave is 0.16, determine the vertical distance of the wave trough from the bottom of the ocean if its depth of still water is 40 m above the bottom of the ocean. 14.10 m 15.10 m 16.10 m 17.10 m
16.10 m
An athlete whose event is the shot put releases the shot at an angle of 35° and its path can be modeled by the function f(x) = - 0.01 x2+0.7x+6.1 in which x is the shot's horizontal distance in feet and f(x) is its height in feet. What is the maximum, height of this shot's path? 35.00 feet 18.35 feet 38.00 feet 28.35 feet
18.35 feet
A bus route on a city street is scheduled for 2-minute headways. On average, 7 passengers per bus board at a particular stop and 10 passengers use the front door and all alighting passengers use the back door. Fare collection is an exact fare and fare box, but not a single coin. Assume clearance time is 15 sec, and the maximum allowable probability of bus queuing is 1 percent. The stop is a near-side stop at an intersection with g/C ratio of 0.5 How manyberths are required? 2 3 4 5
2
A toll bridge from Mandaue to Lapu - Lapu City carries 5000 vehicles per day. The present cost fee is P1.50. When the toll fee is increased by P0.25, traffic volume will decrease by 500 vehicles per day. It is desired to increase the toll fee to a point where the revenue will be maximized. Determine the toll charge to maximize revenue. 1 2 3 4
2
Determine the safe stopping sight distance for a car moving at a speed of 60 kph for a two-way traffic on a single-lane road. Perception plus action time is 2.5 sec. and the frictional resistance is 0.60. 54.28 m 23.60 m 39.44 m 65.26 m
23.60 m
The sum of all edges of a rectangular prism is 80 cm. If the length of the longest rod that fits inside the prism is 12cm, determine the surface area. 179 203 256 288
256
Music is pleasant and interesting due to mixing the changing frequencies of various instruments and voices. An interesting phenomenon that occurs due to constructive and destructive interference of two or more frequencies of sound is the phenomenon of beat. Beat frequency is the difference between two frequencies. What is the beat frequency produced when a tuning fork of frequency 256 Hz and a tuning fork of frequency 521 Hz are struck simultaneously? 256 Hz 265 Hz 768 Hz 777 Hz
265 Hz
A parking lot charges x for the first hour of fraction of an hour and 2/3 x for each hour orn fraction thereafter. Smith parks 7 times as long as Jones but pays only 3 times as much. How long did each park? (The clock registers only 5-minute intervals) 3.5 & 0.5 3.0 & 1.0 4.0 & 0.5 2.5 & 2.0
3.5 & 0.5
A freeway is to be designed as a passenger-car-only facility for an AADT of 35000 vehicles per day. It is estimated that the freeway will have a free flow speed of 70mph. The design will be for commuters and the peak hour factor is estimated to be 0.85 with 65% of the peak hour traffic traveling in the peak direction. If the k-factor for this freeway is 0.148, determine the directional design hourly volume. 3367 4403 2862 5015
3367
A particle moves in the x-y plane. After t seconds, the x and y coordinates of the particle's location are x = 8 sin t and y = 6 cos t. Which of the following equations describes the path of the particle? 36x2 + 64y2 = 2304 36x2 - 64y2 = 2304 64x2 + 36y2 = 2304 64x2 - 36y2 = 2304
36x2 + 64y2 = 2304
Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. How fast is the volume increasing when the radius of the base is 3 ft. and is increasing at the rate of 3 in/min? 3pit ft/min 36pit ft/min 30pit ft/min 3.6pit ft/min
3pit ft/min
Find the area bounded by the graph of y = Sin x and the x-axis on [0, 2Tt]. 0.344 0 2 4
4
You spot a fish in a shallow river. Your first instinct is to air the spear where you see the image of the fish, at an angle of 43.4 with respect to the vertical. However, you know from physics class that you should not throw the spear at the image of the fish, because the actual location of the fish is farther down than it appears, at a depth of H = 0.95 m. This means you must decrease the angle at which you throw the spear. The slight decrease in the angle is represented as in the figure. If you throw the spear from a height h = 1.200 m above the water, calculate the angle decrease. Assume that the index of refraction is 1.00 for air and 1.33 for water. 6.40° 4.40° 4.6° 4.94°
4.94°
Traffic INSTRUCTION SIGN should not carry long messages and where possible no more than lines of messages should be used. 3 6 4 5
5
Five molecules have the following speeds: 3.1 m/s, 4.3 m/s, 5.6 m/s, 6.2 m/s, 8.5 m/s. Determine the root-mean-square (rms) speed. 8.5 m/s 5.5 m/s 5.8 m/s 8.8 m/s
5.8 m/s
A conical tank having the vertex at the bottom has a height of 1.8 m and a radius of opening at the top of 0.50 m. It contains water to a depth of 1.0 m. If a spherical ball having a radius of 0.15 m is placed on the conical tank, how high will the water rise in mm? 55.22 52.52 22.55 1055
55.22
The maximum speed limit for urban roads is 70 kph 40 kph 60 kph 50 kph
60 kph
A large number of test results produce a standard deviation (s) of 1.5 N/mm2, and average strength of 10 N/mm2. If 5% of results are permitted to fail, what should be the minimum design strength of the mix? Z = 1.96. Hint: x =c -Zs 6.70 7.06 7.60 6.07
7.06
The tires of a car make 65 revolutions as the car reduces its speed from 95 km/h to 45 km/h. The tires have a diameter of 0.80 m. If the car continues to decelerate at this rate, how much distance can it travel before it stops? 4.1 s 6.7 s 7.6 s 8.4 s
7.6 s
The areas of two similar polygons are 80 and 5. If a side of the smaller polygon has a length 2, fine the length corresponding to the larger polygon. 10 12 8 14
8
For a three-way intersection, determine the number of conflict points. 3 6 9 12
9
_______________ are made to plan, design, and construct highways, railroads, pipelines, and other linear projects. They normally begin to one control point and progress to another in the most direct manner permitted by the field conditions. Construction surveys Alignment surveys As-built surveys Mine surveys
Alignment surveys
The Construction Safety and Health Program shall be executed and verified by the _________________ and shall be submitted to the Bureau of Working Conditions (BWC) which may approve, disapprove or modify the same according to existing laws, rules and regulations and other issuances by the DOLE. Foreman Construction Project Manager Safety Officer Certified First-Aider
Construction Project Manager
It is the difference between two observed values of the same quantity. Precision Accuracy Discrepancy Mistake
Discrepancy
It is the process of bringing earthwork to the desired shape and elevation. Grading Compacting Balancing Trimming
Grading
A steel tape's length varies with changes in temperature. If it is used for measuring, what type of error is being committed? Natural Error Personal Error Instrumental Error Random Error
Natural Error
The difference between the highest and the lowest data is called Standard Deviation First Quartile Range Interquartile range
Range
What is the preferred method to avoid negative stations in a construction document? Station 0+00 is selected some significant distance from the project boundary. The starting station within the project boundary is arbitrarily selected as 0+00. Stationing is rest to the second 0+00 point when a negative station occurs. The negative stations are reported as positive numbers with the designation "R" added to indicate reverse stationing.
Station 0+00 is selected some significant distance from the project boundary.
In an experiment that led to the discovery of the atomic structure of matter, Lord Rutherford (1871-1973) shot high-energy alpha particles toward a tin sheet of gold atoms. Because many were reflected, Rutherford showed the existence of the nucleus of a gold atom. The alpha Rutherford particle is repelled by the nucleus at the origin; it travels along the Hyperbolic path given by 4x2 - y2 = 16. How close does the particle come to the nucleus? The particle is never closer than 3 units from the nucleus. The particle is never closer than 4 units from the nucleus. The particle is never closer than 1 unit from the nucleus. The particle is never closer than 2 unit from the nucleus.
The particle is never closer than 2 unit from the nucleus.
A plant is considering buying a second-hand machine to use as stand-by equipment. The machine is Php 3000 and has an economic life of 10 years at which time its salvage value is php500; the expected annual operating cost is php 100. Without a standby machine, the plant has to shut down on an average of seven days a year at a cost of php50 per day. If the MARR costs 10%, should they buy the stand-by machine? The standby machine should NOT be purchased, Cost is php350 The standby machine should be purchased, Cost is php 550 The standby machine should be purchased, Cost php 350 The stand-by machine should NOT be purchased, Cost is php 550
The stand-by machine should NOT be purchased, Cost is php 550
The intermediate points upon which the rod is held in running a differential leveling circuit are called Benchmark Stadia Reading Turning Point Differential Level
Turning Point
The time of taking a decision to produce action to a particular traffic situation is called: Perception time Volition Time Emotion Time Intellection time
Volition Time
Find the base width and height of a triangular spoil bank containing 76. 5 BCM (Bank Cubic Meters) if the length is 9.14 m, the soil's angle of repose is 37°, and its swell is 25%. Hint : Volume = Section x length, B =(4V/L X tan R)1/2, H =(BX tan R)/2; where: B = base width, H = pile height, L = Pile length, R = angle of repose, V = Pile volume Width = 2.80m, height = 2.80m Width = 2.80m, height = 7.45m Width = 7.45m, height = 2.80m Width = 7.45m, height = 7.45m
Width = 7.45m, height = 2.80m
Localized upward buckling and shattering of the slabs at transverse joints or cracks. They can occur when transverse joints are field with incompressible solid materials. blowups raveling spalling faulting
blowups
Prior to setting elevation stakes on a small construction site, a surveyor is most likely to obtain topographic maps from the National Geodetic Survey establish a local control correct azimuths for declination research recorded deeds and locate parcel boundaries
establish a local control
This represents that component of vehicle weight that acts parallel to an inclined surface. total resistance grade resistance rolling resistance frictional resistance
grade resistance
This drawing has elevation as its vertical axis, and horizontal distance, as measured along the centerline of the facility, as its horizontal axis. geometric cross section superelevation diagram profile plan view
profile
At this point, the material rapidly begins "necking down." as does a piece of chewing gum stretched to the breaking point. yield point ultimate strength impact strength fatigue
ultimate strength