MATH & SURVEYING

Curing

(CE 2021), It is a construction operation that concrete should be protected so that moisture is not lost during the early stages of hardening, and it should be kept at a temperature that will promote hydration and also protect against injury from subsequent construction activities.

Combination of unusually high sea level with severe wave action

(CE 2021), What is the woret condition which should be considered in relation to the design of coastal defense works?

160

(CE 2021). A 20 ft. long water trough has ende in the form of isosceles triangles whose equal sides are 4 f. long. Determine the dimension across the top of the triangular end so that the volume of the trough is a maximum.

-123 J

(CE 2021). A 5.00 kg box is pushed from the top of an incline and travels down the incline with an initial speed of 10.0 m/s. The incline is 5.00 m long and the angle of the incline is 30.0%. The coefficlent of friction between the box and the incline is 0.200. Determine the loss of potential energy. Hint: PE = mgh2- mgh1 = mg(h2- h1)

6.468

(CE 2021). A cleaning contractor working for SEDA Hotel, wants to calculate the standard time for cleaning a room. Given an allowance factor of 15%, what is the standard time for whole operation? Job Element 1 2 3 4 5 6 7 Rating Empty Bins. 1.0 0.9 0.75 1.2 1.4 0.6. 0.8 0.90 Vacuum Floor 3 4.5 3.5 3 3.75 4.25 4.25 1.25

71.5 unit masses

(CE 2021). A concrete unit mix contains 136 kg of gravel, 95 kg of sand, 42.5 kg of Portland cement and 22.5 kg of water, plus 5 v/c entrained air. How many cements is required to build a low retaining wall, 28.6 m x 1.07 mx 0.305 m? The aggregate is non-porous. MATERIAL SPECIFIC GRAVITY True Bulk Gravel 2.6 1.76 Sand 2.65 1.68 Cement 3.25 1.5 Hint: True Volume = Mass / True Density

1/6

(CE 2021). A lighthouse shows successive one second flashes of red, white, green, green white, red. A second lighthouse does the same only with two second flashes. The six second sequence of the first lighthouse is repeated steadily, as is the twelve second sequence of the other lighthouse. What fraction of the time do the two lights show the same color if the given sequence starts at the same time?

34

(CE 2021). A logistic curve is the graph of an equation of the form y=k/[1+ b(e)^(-cx)] where k, b and c are positive constants. Such curves are useful for describing a population of protozoa was found to be describes by a logistic equation with c 1.1244, k=105, and x the time in days. Find b if the initial poputation was 3 protozoa.

0.224

(CE 2021). A message wi be transmitted from Terminal A to Terminal Bif the relays R1,R2 , R3 and R4 are closed. If the probabilities of these relays are closed respectively, 0.5, 0.7 0.8, and 0.8, find the probability that message will get through. Assume that the relays function independently.

17.4 1/2

(CE 2021). A spotight shining a pond strikes the water so that the angle of incidence A is 23.5 1/2. Find the refracted angle A. Use Snell's Law and the fact that n 1.33 for water and n 1.00 for air.

5.40 minutes & 5.87 minutes respectively

(CE 2021). A time study showed that the average time taken to deal with car insurance request by BPO agents in Manila, was 6. The analyst rated the observed worker at 90%, meaning the worker performed at 90% of basic time when the observed were made. The firm has an allowance factor of 8%. Calculate the basic and standard time for the operation. Hint: Basic time = (Average observed time) x (Performance rating factor) & Time = Basic Time/1- Allowance factor.

1.67

(CE 2021). A topographic surveying map using a scale 1 cm= 40m, and with a contour interval of 1.0 m. The distance scaled on the map between two adjacent contours is 15 mm. Determine the slope of the ground, in percent.

286 1/2 35'

(CE 2021). A transverse was run on a small jobsite using 20 second theodolite and a chain. Assume the angles were measured with equal position. The direction of AB is 54 1/2 10'. Determine the azimuth or bearing at line CA. Hint: Calculation of Direction = clockwise around traverse - interior angles. LINE A Field angle = 52 1/2 26' Adjustments = -0.1' Adj. Angle = 52 1/2 25' Distance = 322.520 LINE B Field angle = 53 1/2 05' Adjustments =-0.1 Adj. Angle = 53 1/2 04' Distance = 265.25 LINE C Field angle = 74 1/2 32' Adjustments = -0.1 Adj. Angle = 74 1/2 31' Distance = 267.66 SUM = 180 1/2 03'

12.19

(CE 2021). A tropical typhoon hits the country with an estimated wind speed of 140 kph. This causes a storm surge in a coastal town with a period of 7.47 sec. In a point having a depth of 9 m, compute the height of the wave, in meters if it has a steepness of 0.14. Hint: L= 1.56T"

238.20

(CE 2021). An electric replacement sewage pump is being considered for purchase, it is capable of providing 200 hp. The pertinent data are as follows; Cost = P3,200 Maintenance Cost per year = P50 Electric Efficiency = 0.85 Life Expectancy = 14 years The pump is used for 400 hours per year and the cost of the electricity is P0.04 per kW-hr (1hp = 0.746kW). Assuming the pump will have no salvage value, what will be the monthly cost?

296. 184

(CE 2021). An engineer is hired to design a bridge to carry traffic across the river. Her first problem is to determine the distance trom point A to point B. To do so, she starts at point A and measures distance 250 m in a direction at right angles to the segment 49 1/2 50 min. How long should the bridge be, in meters?

0.23

(CE 2021). An engineer selects a sample of 5 iPods from shipment of 100 that contains 5 defectives. Find the probablity that the sample contains at least one defective.

15.6

(CE 2021). An experlenced roofer can roof a house in 26 hours.A beginning roofer needs 39 nours to complete the same job. Find how long t takes for the two to do the job together, in hours.

400

(CE 2021). An insurance salesperson makes 2% of the face value of a permanent policy and 1% of the face value of term policy. Suppose he sells x pesos worth of permanent insurance and y Pesos worth of term insurance. How much does he make if sells a Php20,000 term and a Php10,000 policy?

91

(CE 2021). Calculate the power required, in hp of a 1,400 kg car when the car climbs a 10% hill at a steady 80 km/h. Assume the average retarding force on the car is Fr = 700 N.

I. Minimize settling II. Increase the soil's load bearing characteristics III. Increase soil stability IV. Reduces water penetration V. Protects slopes that will drain water way (ALL OF THE ABOVE)

(CE 2021). Compacting applies energy to sol to consolidate it by compressing air voids to increase the sol's dry density. Which of these are the objectives of proper compacting? I. Minimize settling II. Increase the soil's load bearing characteristics III. Increase soil stability IV. Reduces water penetration V. Protects slopes that will drain water way

303.7

(CE 2021). Compute the magnitude and direction (in degrees) of the vectors (2,-3).

-2 & -2/3

(CE 2021). Find all rational solutions of the equation: 3x^4 + 14x^3 + 14x^2 - 8x - 8 = 0

113

(CE 2021). Find the expected production in loose cubic meters (Lm^3) per hour of small hydraulic excavator. Heaped bucket capacity is 0.57 m^3. The material is sand and gravel with a bucket fill factor of 0.95. Job efficiency is 50 min/h. Average depth of cut 4.3 m. Maximum depth of cut is 6.1 m, and the average swing is 90 1/2. Hint: Production (LCY/h) = C x S x V x B x E, cycle output = 250 cycles/60 min, swing-depth factor =1.00.

r = 5"2 and ō = 5D/4

(CE 2021). Find the magnitude and direction of the vector represented by (-5, -5)

9.7kW or 13.1hp

(CE 2021). Find the theoretical power required to compress 2.8m^3 of free air per minute from atmosphere (0.101 N/mm" to 0.7 N/mm") indicated on the gauge (.e. 8.01 bar absolute) given the formula: v1 P2 Theoretical Power = 10^3 x 0.101 x -- loge --kW 60 0.101

148.67

(CE 2021). From a point C on the ground of a square courtyard of area 160,000 sq.m., the angles of elevation of three flagstaffs of equal heights at three consecutive corners of the yard at A, B, C are 45 1/2, 60 1/2, and 60 1/2, respectively. Find the height of each flagstaff, in meters.

17

(CE 2021). In a city, streets run north and south, and avenues run east and west. Streets and avenues are 850 feet apart. The city plans to construct a straight freeway from the intersection of 25th street and 8th street avenue to the intersection of 115th street and 64th avenue. How long will the freeway be, in miles?

I. Be sure the instrument is level III. Sight exactly on the target IV. Sight direct and reverse

(CE 2021). In the standard practice of measuring vertical or zenith angles, the following practices are great importance: I. Be sure the instrument is level II. Sight with vertical crosshair III. Sight exactly on the target IV. Sight direct and reverse Which standard practice are true?

Reliability

(CE 2021). It is a probability of a mechanism that will function satisfactorily. If the mechanism ls to operate intermittently and briefly, it also refers to performance on a given occasion. If the mechanism is to operate continuously, it refers to its performance for a specific period of time.

Risk

(CE 2021). It is combination of the likelihood of an occurrence of a hazardous event with specifled period in specified circumstances and the severity of injury or damage of health of people, property, environment or any combination of these caused by the event.

coastal erosion

(CE 2021). It is the single most important environmental factor in the broad field of coastal engineering?

Shrinkage

(CE 2021). It occurs as concrete hardens, being greater in wet mixes. Curing helps to limit effects and therefore concrete in the actual structure should be thoroughly and continuously moistened from some considerable period after placing.

1.33

(CE 2021). Morning peak traffic upstream of a toll booth is given below. The toll plaza consists of three booths, each of which can handle an average of one vehicle every 6s. Using queuing diagram, determine the total delay, in veh-hr. TIME PERIOD 10-min volume Cumulative vol. 7:00 - 7:10 200 200 7:10-7:20 400 600 7:20-7:30 500 1,100 7:30-7:40 250 1,350 7:40-7:50 200 1,550 7:50-8:00 150 1,700

600

(CE 2021). Near the town of Carcar, Cebu there is a large triangular plot of land bounded by three straight roads which are 855, 870 and 975 meters long respectively. The owner of a land, a friend of mine told me that he decided to sell half the plot to neighbor, but that the buyer had stipulated that the seller of the land should erect the fence which was to be straight one. The cost of fences being high, my friend naturally wanted the fence to be as short as possible. What is the minimum length the fence can be, in meters?

maximum expected time

(CE 2021). Of all paths through the network, the critical path has the ___

The defender's lowest EAC is less than Php14,200, which is the challenger's EAC. The communication's system should not be replaced yet.

(CE 2021). The GPS system for the DMCI equipment fleet cost Php50,000 four years ago. Its Current salvage value is Php26,000, which will decline as follows, Php20,000, Php16,250, and Php12,500. The O & M costs will be Php6,000 this year, and these costs will increase by Php2,000 per year. At an interest rate of 10%, the best challenger has an EAC of Php14,200, When should the communication syetem be replaced? Hint: MCt = St-1 (1.1)-St +O & Mt EACt = 26K(A/P, 10%,t)- St(A/F, 10%, t) + 6K+ 2K(A/G,10%,t)

0.0401

(CE 2021). The amount of annual rainfall in a certain reglon is known from past experiences to be normally distributed random variable with a mean of 50 inches and a standard deviation of 4inches. If the rainfall exceeds 57 inches during a randomly picked year will be floods. Hint: P(x > 57) = P(Z > (57-50)/4).

191

(CE 2021). The angle of elevation of the top of the water tower from point A on the ground is 19.9 1/2. Find point B, 50 feet closer to the tower, the angle of elevation is 21.8 1/2. What is the height of the tower, in feet?

8

(CE 2021). The area of the sector AOB with point O as its center is equal to 96D having a radius of 24 m. A small clrcle is inscribed in the sector which is tangent to all the three sldes of the sector. Find the radius of the small circle Inscrlbed in the sector, in meters

y+20 = (3/4)(x-35)

(CE 2021). The coordinate syetem ie designed for a football field. Each unit represent one meter. Pepe is at point P(35, -20). The path of the ball from a comer kick is represented by the equation y=(4/3)X. To have the best chance for a shot on goal, Pepe wants to run toward the ball so that his path meets the ball at right angles. Find the equation for the line on which Pepe should run.

3.1

(CE 2021). The famous pyramid of Egypt has an altitude of 15 m and weighs 4,000 kg. It has a square base. At what distance from its base must it be cut by a plane parallel to its base so that the two solids of equal weight will be formed?

-29.4

(CE 2021). The height is above ground of a ball dropped from the vista of Mines View Park ls given by s = -4.9t" + 192, where s is measured in meters and t in seconds. Find the Instantaneous velocity, in m/sec of the falling ball at t1=3 sec.

2,000

(CE 2021). The ideal capacity of road in vehicle per hour is ___

8

(CE 2021). The intensity of light (in foot-candles) varies inversely as the square of x, the distance in feet from the light source. The intensity of light 2 feet from the source is 80 foot-candles. How far away is the source, in feet if the intensity of light is 5 foot-candles?

4.5

(CE 2021). The interior of a satellite TV antenna is a dish having the shape of a (finite) paraboloid that has a diameter 12 m and 2m deep. Find the distance from the center of a dish to the focus, in meters

BONUS

(CE 2021). The length of the base of rectangular box without a top is supposed to be twice the width. Find the width that gives the smallest surface area. ​

(30, 110, 40)

(CE 2021). The measure of the largest angle of triangle is 80% more than the measure of the smallest angle, and the measure of the remaining angle is 10% more than the measure of the smallest angle. Find the measure of each angle.

50.4 km/h North-south, 43.2 km/h East-west

(CE 2021). The north-south streets of a grid have block lengths of 140 m 8nd the east-west streets have block lengthe of 240 m. Desired speeds of progressions are 50 km/h east-west. Determine the actual speed of progression for two-way progression in both orientation of the grid. Round the oycle to the nearest 5 s. Hint: Convert desired speeds of progression to m/s and determine cycle lengths, C = 2NL /s

77.8

(CE 2021). The path of typhoon "Dindo" passes thru Batanes island at a certain location whose depth of water above the bottom of the sea equal to 150 m. Determine the approximate velocity of wave propagation, in kph.

28, 28 and 37

(CE 2021). The perimeter of the triangle is 93 centimeters. If two sides are equally long and the third side is 9 centimeters longer than the others, find the lengths of the three sides.

6.6 4.4 2.2 1.1 1.1 0.55

(CE 2021). The purchase prices and delivery costs (per unit) for wood, sliding and roofing used in construction of a temporary shelter are given by the table below. Then the table of unit costs may be represented by the matrix C. Wood Sliding Roofing Purchase 6 4 2 Delivery. 1 1 0.5 C = 6 4 2 1 1 0.5 If the supplier announces a 10% increase on both purchased and delivery of these items, find the new unit cost matrix.

14,657,415

(CE 2021). The radius of the Moon is 1,080 miles. Use the formula of the radius r of a sphere given its surface area A, r = "A/4D to find the surface area of the Moon. Round to the nearest square mile.

tact coat

(CE 2021). The single initial application of bituminous material to an existing bituminous, Portiand concrete, or block surface or base is called:

mechanical, thermal, electrical and chemical

(CE 2021). The sound creaks and groans that one hears inside the building are in fact materials response to extreme stimuli such as heat, wind and gravity loads. These stimuli fall into four categories. What are these major properties that exhibited by materials?

101

(CE 2021). The world's highest bridge, the Millau Viaduct in France, is 1125 feet above the river Tarn. An object is dropped from the top of this bridge. Neglecting air resistance, the height of the object at time t seconds is given by the polynomial function P(t)=-16t" + 1125. Find the height of the object, in feet when t= 1 second when t = 8 seconds.

Unsafe Condition

(CE 2021). These are circumstances or deviation from standard condition which could permit an occurrence of accident or incident.

Champion, Father, Champion at 0.512 probablity

(CE 2021). To encourage Elmer's promising tennis career, his father offers him a prize if he wins (at least) two tennis sets in a row in a three-set series to be played with his father and the club champion alternately: father-champion-father or champion-father-champion, according to Elmer's choice. The champion is a better player than the father. Which should Elmer choose?

Three 5m^3 capacity

(CE 2021). Trucks are loaded by a 1 m^3 capacity tracked loader machine at the rate of 39 m*3/h bulked material. The transports the material to a tip 3 km away. Select the size and the number of trucks required. Select truck size, say loader bucket capacity x 5=5 m^3. Hint: Load time = 60/30 x 5 ; 10minutes Cycle time to tip and back (average speed, 20 km/h) ; 18 minutes Dumping, turning and accelerating ; 3 minutes Total minutes : 31 TRUCK 1 - 10 18 3 TRUCK 2 - 10 18 3 TRUCK 3 - 10 18 3 TRUCK 4 - 10 18 3 1 minute waiting

-1.19

(CE 2021). Two containers are being used. One container is in the form of an inverted right circular cone with helght of 10 meters and a radius at the base of 4 meters. The other contalyner ls a right circular cylinder with a radius of 6 meters and a height of 8 meters. If water ls being drained from the conical container into the cylindrical container at the rate of 15 m^3/min, how fast is the water level falling in the conical tank, in m/min when the water level in the eonical tank is 5 meters high?

Gravity Waves

(CE 2021). Waves that are formed by frictional drag of wind across the water surface, This is a process of transferring energy from Wind to water. Water particles are moved from their position by wind and then returned to the original position by gravity which is restoring force

Inner side of outer rail

(CE 2021). When train passes on curves, which have no super elevation, it will give thrust on the:

Volume is more accurate: Only volume has units of time

(CE 2021). Which is more acourate parameter of traffic capacity volume or density?

All normal curves are bell-shaped and symmetric

(CE 2021). Which of the following are true statements? I. All symmetric histograms II. All symmetric bell-shaped curves are norma I. All normal curves are bell-shaped and symmetric

II. Assume that the total time of the critical path has approximately beta distribution

(CE 2021). Which of the following in the calculation of the probability that the critical path will be completed by time T? I. Assume that the activity times are the statistically independent II. Assume that the total time of the critical path has approximately beta distribution III. Requires knowledge of the standard deviation for all activities in the network

I. Make use of three estimates II. Put the greatest weight on the most likely time estimate IIl Is motivated by the beta distribution (ALL OF THE ABOVE

(CE 2021). Which of the following satisfy the requirements for estimating expected activity times in a PERT network? I. Make use of three estimates II. Put the greatest weight on the most likely time estimate IIl. Is motivated by the beta distribution

I. The design of the structure to be buit II. The subsystem to be inclined in the structure (electrical,mechenical, plumbing. etc.) III. The equipment invoved in building the structure IV. The on-site facilities such as man lifts, elevators, concrete batch plants and rock crushing/gravel processing or asphalt plants.

(CE 2021). Which or following are the concepts of safe design to construction?

Php13M & Php24M rescectively

(CE 2021). Your engineering group has just finished the preliminary design of a small refinery. The estimated cost is Php19 millon for a capacity of 2 million barrels per year. Your management has asked you for order-of-magnitude estimates for facilities with capacities of 1 millon and 3 milion barrels per year. Hint : Cx = Ck(Sx/Sk)^n

1 = Php12.8, 2 = Php9.50, 3 = Php8.0

(CE 2021). Your engineering group just finished the preliminary design of a small refinery. The estimated cost is Php 19 million for a capacity of 2 million barrels per year. Your management has asked you for order-of-magnitude estimates for facilities with capacities of 1 million and 3 million barrels per year. Compute tne cost per barrel capacity.

439

(CE 2021). Zoologists have determined empirically that the total number of endangered species, y, may be approximated by the formula: y = 1883 /[1 + 7.892(1.097)^(-t)]. Where t is the number of years past 1980. How many more species does the formula estimate will be added to the endangered list for 2020 that the actual number given for 2007?