COMPRE S2 24-25

A

A wheel tractor-scraper weighing 91 tons is being operated on haul road with a tire penetration of 5 cm. What is the total Resistance kg and effective grade when scraper is ascending in a slope of 5%

RRF = 20 + (6x cm. of penetration)

GRF = 10x grade (%)

Effective grade = grade (%) + RRE/10

A. 9011kg, 10%

B. 9011kg, 0%

C. 0kg, 0%

D.0kg, 10%

B

Rounded edge along the slab perimeter to prevent chipping and reduce tripping hazards?

A. Trowelling

B. Edging

C. Floating

D. Brooming

C

Rotating vessel coming too fast makes 50 in the first minutes and in each minute 3/5 as many revolutions

A. 50

B. 100

C. 125

D. 75

B

Pete Penseyres holds the record for the fastest average speed cycled across the continental United States, at 15.4 miles per hour. If he covered a total distance of approximately 3107.5 miles at this speed, determine his total cycling time. Express the answer in days, hours, and minutes.

A. 7d 8h 40m

B. 8d 9h 50 m

C. 5d 9h 20m

D. 6d 11h 30m

A

Engr. G desires to set aside a certain sum of money to provide funds to cover the yearly operating expenses and the cost of replacing the ink of his xerox machine every year. He replaces the ink for a period of 10 years.

Operating cost per year= Php 500

Cost of ink= Php 1,200

Salvage value of ink= Php 600

The money will be deposited in a savings account which earns 6% interest. Determine the sum of money that must be provided, including the cost of the ink

a. 8626.02

b. 8662.02

c. 8226.02

d. 8666.22

C

If the sensitivity of the bubble tube is 30" per 2mm division, what would be the error in the staff reading on a vertically held staff at a distance of 200m when the bubble is out of center by 2.5 divisions?

A. 0.056

B. 0.069

C. 0.073

D. 0.086

A

It is now between 9AM and 10 o'clock AM. In 4 minutes, the hour hand of the clock will be directly opposite the possession occupied by the minute hand 3 minutes ago. What time is it?

A. 9:20.0

B. 9:20.5

C. 9:19.8

D. 9:20.3

C

In the expansion of (𝐴𝑥 + 𝐵𝑦)^5 , find the value of A if the sum of all numerical coefficients is 32 and product of A and B is -24

A. 2

B. 4

C. 6

D. 8

C

If the middle term of the expansion of (x^3+ 2y^2)" is Cx^18 y^12, find C

A. 56554

B. 54321

C. 59136

D. 58962

D

The sun was observed in the eastern sky of Manila (120deg E long, 14deg N) by using a sextant, it was found that the sun has a declination of 50deg North if the altitude of the sun is 40deg, find the azimuth of the sun.

A. 44.8

B. 51.3

C. 40.3

D. 34.8

D

The average of the high water over a 19-year period is known as:

A. Mean higher water

B. Higher high water

C. Highest high water

D. Mean high water

D

An inclined distance has been measured using a 100m tape length and recorded as 567.765m long. The difference in elevation between the initial point and the endpoint was found to be 3.45m. The tape used is of standard length at a temperature of 350C and a pull of 62.5N. During the conduct of the measurement the temperature was observed to be 550C and the tape was supported at both ends which an applied pull of 75.5N. The cross-sectional area of the tape is 8.50 mm2 and the modulus of elasticity is 200GPa.The tape has a mass of 0.075kg/m. K = 0.0000116 m/oC. Determine the horizontal distance.

A. 545.24429m

B. 545.24429m

C. 545.42492m

D. 545.42429m

Point C is equidistant from both A and B, while D is 12m away from A along the extension of line AB and 72m from B. With the level in the same position at D, to what rod reading on B should the line of sight be adjusted.

A. 0.4894m

B. 0.6014m

C. 0.2004m

D. 0.0334m

C

From the given conceptual layout of a large artificial harbor, What does “3” stand for?

A. Marginal Wharf

B. Dry Dock

C. In-harbor breakwater

D. Outfitting Pier

In a certain section, the natural ground surface has the following grade diagram.

15. Determine the elevation at A.

A. 96.7

B. 89.8

C. 110.2

D. 75.4

In a certain section, the natural ground surface has the following grade diagram.

16. Determine the elevation at C

A. 96.7

B. 89.8

C. 110.2

D. 75.43

B

17. If a 150 mm thick layer of pavement is to be laid across the entire stretch from A to C, and the width of the road is 4 meters, what is the total volume of pavement (in cubic meters) required between A and C?

A. 55.3

B. 60.1

C. 78.2

D. 84.6

C

18. A man invested P15,000 at an interest rate of 7% compounded annually. What will be the final amount of his investment, in terms of today's pesos, after 4 years, if inflation remains the same at the rate of 5% per year? (Dili exact ang question pero kana ang thought and ang choices dili kana)

A. 19,661.31

B. 15,453.21

C. 16,157.82

D. 14,435.6

A

19. Calculate the volume of plastic concrete that will be produced by the mix given in the table below.

A. 0.51

B. 0.15

C. 0.55

D. 0.11

D

Estimate activity times in PERT networks.

I. MAKE USE OF THREE ESTIMATES

II. PUTS THE GREATEST WEIGHT ON MOST LIKELY TIME ESTIMATE

III. IS MOTIVATED BY BETA DISTRIBUTION

A. III only

B. I only

C. II only

D. All of these

A

At Sta. 2+500 at elevation 50m of a railroad, a +8% grade meets a -4% grade. The maximum allowable change in grade per station is 0.2%. Determine the length of the curve.

A. 120

B. 100

C. 110

D. 130

D

SITUATION - A reverse curve has a perpendicular distance between two parallel tangents equal to 6 m, the central angle being equal to 7º and the radius of curvature of the first curve is 163.8m.

22. Find the offset distance from back tangent to PRC.

A. 1.98m

B. 1.39m

C. 0.75m

D. 1.22m

A

SITUATION - A reverse curve has a perpendicular distance between two parallel tangents equal to 6 m, the central angle being equal to 7º and the radius of curvature of the first curve is 163.8m.

23. Compute the radius of the second curve.

A. 641.28m

B. 578.32m

C. 614.16m

D. 498.25m

A

24. A highway with a straight alignment slopes down to a stop line as shown. The design speed of the highway is 45 mph. The stopping sight distance (ft) is most nearly:

D

The tasks within a project, and their duration and cost data are shown below. Both normal completion time and crashed completion time (by allocating additional resources) are shown in the table.

For every week of early completion, the bonus is $1,000, and for every week that the project is late, the penalty is $800. If the revised target completion time is 9 weeks, the net cost for completing the project is most nearly:

A. $22,000

B. $24,000

C. $25,000

D. $26,000

A

A horizontal circular-curve is to connect a back-tangent bearing S42°30'W to a forward-tangent bearing N70°W. If the degree of curve is 3°45' and the tangents intersect at station 50+22.36, the deflection angle for station 57 + 00.00 is most nearly:

A. 31° 50' 56"

B. 21° 40' 28"

C. 41° 32' 15"

D. 27° 40' 24”

A

It is between 9am and 10am. 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?

A. 20:0

B. 19:8

C. 20:5

D. 20:3

C

After 8pm a ride in a cab cost 25 plus 3 for every fifth of a kilometer traveled if a passenger traveled x kilometers what is the cost of the trip in pesos as a function of x:

A. 28x

B. 25 + 3x

C. 25 + 15x

D. 25 +0.6x

A

SITUATION - The probabilistic earthquake map has 3% probability of exceedance in 50 years.

29. Compute the mean recurrence interval (MRI).

A. 1.5

B. 1500

C. 0.667

D. 0.000588

A

SITUATION - The probabilistic earthquake map has 3% probability of exceedance in 50 years.

30. Compute annual exceedance.

A. 0.00058

B. 0.667

C. 1.5

D

31.Determine the velocity of the ball before hitting the wall

A. 8

B. 7.2

C. 6.5

D. 5.4

C

32.Determine the average normal force in newtons exerted by the ball on the wall during impact.

A. 58.3

B. 61.2

C. 64.3

D. 54.8

33. Average coefficient of friction between ball and wall.

A. 0.25

B. 0.31

C. 0.39

D. 0.42

C

The design speed of a car passing through an easement curve is equal to 80 kph. The radius of the central curve of the spiral curve is equal to 260 m long. Compute the length of the easement curve.

A. 80.34m

B. 80.34m

C. 70.89m

D. 75.62m

D

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

A. 14 miles

B. 15 miles

C. 16 miles

D. 17 miles

D

In the figure shown is a parabolic lot with dimension shown. Find the area of the shaded parabolic segment.

A. 105.32 s.q.m

B. 121.67 s.q.m

C. 145.05 s.q.m

D. 112.41 sq.m

B

If the altitude and base of a parallelogram are increased by 5 inches, the area will increase by 50 in^2. If the altitude is increased by 3 in. and the base is decreased by 2 in. the area will increase by 5 in^2. Determine the original value of the base of the parallelogram.

A. 3.2 in.

B. 4.2 in.

C. 3.8 in

D. 5.2 in

D

The segment from (-1,4) to (2,-2) is extended three times its own length. Find the terminal point.

A. (11, -24)

B. (11, -18)

C. (-11, -20)

D. (11, -20)

B

A truck loader has an initial cost of $50000, salvage value of $5000, and a life of 5 years. Find the depreciation and book value of the truck loader at the end of its life.

A. 43000 and 7000

B. 45000 and 5000

C. 38000 and 12000

D. 41000 and 9000

B

Find the two consecutive positive even integers such that the square of the second, decreased by twice the first is 124. Find the smaller number.

A. 8

B. 10

C. 12

D. 14

C

Find two numbers such that their sum multiplied by the sum of their squares is 5500 and their difference to the difference of their squares is 352

A. 8 and 15

B. 10 and 12

C. 9 and 13

D. 11 and 14

C

The sum of the parent’s ages is twice the sum of their children’s ages. Five years ago, the sum of the parents’ ages was four times the sum of their children’s ages. In 15 years, the sum of the parents’ ages will be equal to the sum of their children’s ages. How many children are there?

A. 3

B. 4

C. 5

D. 6

C

A body was at rest at a certain height of a building, it was pushed and travelled 16 meters in 1 second, 38 in 2 seconds, and 80 in 3 seconds. What is the distance travelled in 15 seconds?

A. 294

B. 358

C. 324

D. 1042

B

Consider a four legged intersection with no left no right no U turn. Assume red time 3 seconds, yellow time 3 seconds, and starting loss of time 2 seconds. Use Webster’s Phase Origin Traffic Volume Saturated Traffic

Determine Optimum Cycle

A. 110

B. 120

C. 130

D. 140

D

Consider a four legged intersection with no left no right no U turn. Traffic data shown below.

A traffic signal to be installed to allow traffic flow in two phases per cycle, north south and east west. Determine North to south.

a. 61

b. 60

c. 59

d. 58

D

Determine the effective green time North to East.

A. 110

B. 120

C. 190

D. 140

D

Sum of roots x^4-4x^3-6x+4x+5

A. 6

B. 5

C. 8

D. 4

A

A surveyor forgot to indicate the area of a rectangular lot. However, he remembers that the area remains the same if the length is decreased by 12.5 m and the width is increased by 10 m or the length is decreased by 50 m and the width is increased by 50 m. What was the original area of the rectangular lot (sq.m)?

A. 30,000

B. 32,000

C. 40,000

D. 42,000

B

On a 130-mile trip from Orlando to Saasota, Roberto encountered a heavy thunderstorm for the last 40 miles of the trip. During the thunderstorm he drove an average of 20 miles per hour slower than before the storm. The entire trip took hours. How fast did he drive before the storm?

A. 30 mi/hr

B. 60 mi/hr

C. 15 mi/hr

D. 20 mi/hr

A

In a common carnival game a player tosses a penny from a distance of about 5 feet onto the surface of a table ruled in 1-inch squares. If the penny (3/4 inch in diameter) falls entirely inside a square, the player receives 5 cents but does not get his penny back; otherwise he loses his penny. If the penny lands on the table, what is his chance to win?

A. 1/16

B. 1/9

C. 1/28

D. 3/4

A

Three prisoners, A, B, and C, with apparently equally good records have applied for parole. The parole board has decided to release two of the three, and the prisoners know this, but not which two. A warder friend of prisoner A knows who is to be released. Prisoner A realizes that it would be unethical to ask the warder if he, A, is to be released, but thinks of asking the name of one prisoner other than himself who is to be released. He thinks that before he asks, his chances of release are 2/3. What is the probability that prisoner A will be paroled after asking?

A. ⅔

B. ⅓

C. ½

D. 0

A

SITUATION. The 4th term of the geometric progression is 6 and the 10th is 384.

52. What is the common ratio of the G.P.

A. 2

B. 3

C. 4

D. 5

3060

SITUATION. The 4th term of the geometric progression is 6 and the 10th is 384.

53. sum from 5th to 12th term

48

SITUATION. The 4th term of the geometric progression is 6 and the 10th is 384.

53. 7th term

D

A civil engineer proceeds to do the stadia survey to work to determine the topography of the certain area. The transit was set up at a point A, either the line of sight horizontal, took rod readings from the rods placed at B and C which is 200 m and 60 m from A respectively. Compute the stadia interval factor.

A. 91.55

B. 94.77

C. 93.58

D. 99.93

D

Which is a good investment?

A. 9% compounded annually

B. 9% compounded quarterly

C. 9% compounded monthly

D. 9% compounded continuously

B

If the sum of n terms of a series is S(n)=n(n-3). Find the nth term.

A. 2n+4

B. 2n-4

C. 2n+2

D. 2n-2

A

Situation - Suppose X is a random variable that describes the monthly rainfall of a particular city. We find that X is normally distributed with a mean of 7 inches and a standard deviation of 2 inches,

58. What is the probability the monthly rainfall is less than 2 inches

A. 62%

B. 26%

C. 59%

D. 38%

D

Situation - Suppose X is a random variable that describes the monthly rainfall of a particular city. We find that X is normally distributed with a mean of 7 inches and a standard deviation of 2 inches,

59. What is the probability the monthly rainfall is more than 2 inches

A. 50%

B. 26%

C. 59%

D. 38%

D

Situation - Suppose X is a random variable that describes the monthly rainfall of a particular city. We find that X is normally distributed with a mean of 7 inches and a standard deviation of 2 inches,

60. What is the probability the monthly rainfall is more than 8 inches

A. 50%

B. 26%

C. 59%

D. 31%

A

It is the process of bringing earthwork to the desired shape and elevation.

A. Grading

B. Compacting

C. Balancing

D. Trimming

B

Find the swell and shrinkage of a soil that weighs 1661 kg/m3 and in its natural state, 1186 kg/m3 after excavation and 2077 kg/m3 after compaction.

A. 60%, 80%

B. 40%, 20%

C. 50%,50%

D. 60%, 40%

A

Calculate the volume of plastic concrete that will be produced by the mix given in the table below.

A. 0.51

B. 0.15

C. 0.55

D. 0.11

A

At Sta. 2+500 at elevation 50m of a railroad, a +8% grade meets a -4% grade. The

maximum allowable change in grade per station is 0.2%. Determine the length of the curve.

A. 120

B. 100

C. 110

D. 130

C

Pass a plane through a cube so that the section formed will be a regular hexagon. If the edge of the cube is 2 units, find the area of this section in square units.

A. ‎ 6√3

B. ‎ 5√5

C. ‎ 3√3

D. 4√6

B

A man has 2 investments one pays at 3% annual interest and the other at 4% interest. The total income from the investments is 1700. If the interest rates were interchanged, the total income would be 1800. What is the amount of each investment?

A. ‎ 25000 and 35000

B. ‎ 30000 and 20000

C. ‎ 15000 and 10000

D. ‎ 40000 and 30000

C

Find the equation of the plane that contains the point A(1,-1,2) B(3,-2,2) and C(2,1,4)

A. ‎ 2x-4y+5z=12

B. ‎ 2x+4y+5z=12

C. ‎-2x-4y+5z=12

D. -2x-4y-5z=12

A

Calculate the volume of plastic concrete that will be produced by the mix given in the table below.

A. 0.51

B. 0.15

C. 0.55

D. 0.11

C

SITUATION: A 50m tape was standardized and was found to be 0.0042m too long than the standard length at an observed temperature of 580C and a pull of 15 kilos. The same tape was used to measure a certain distance and was recorded to be 673.92m. long at an observed temperature of 680C and a pull of 15 kilos. Coefficient of linear expansion is 0.0000116m/0C

69. Determine the standard temperature

A. 45.450 degree C

B. 33.560 degree C

C. 50.760 degree C

D. 37.900 degree C

C

Determine the corrected horizontal Distance.

A. 811.243m

B. 822.566m

C. 674.055m

D. 788.098m

A

Which market structure is characterized by a single seller with significant control over the market? (dili exact phrase ang question pero mao ang choices)

A. Perfect Monopoly

B. Perfect Competition

C. Oligopoly

D. Monopolistic Competition

D

For a given compound curve:

I1 = 380 I2 = 310 D1 = 30 D2 = 40

Station at PI: 10+320

Determine the station at PT

A. 10+310.127

B. 10+205.678

C. 10+056.794

D. 10+465.128

B

A vertical parabolic curve is designed to pass thru three points on the profile of an existing unimproved road with stationing and corresponding elevation as follows:

POINTS STATIONS ELEVATIONS(M)

PI - 5+432 - 45

P2 - 5+592 - 48

P3 - 5+682 - 43.30

Elevation of the highest point of the curve.

a) 38.626m

b) 48.626m

c) 58.626m

d) 68.626m

C

What does this symbol mean?

A. Flammable

B. Explosive

C. Oxidizing

D. Gas under pressure

D

Find the expected production in loose cu.m (LCM) per hour of a small hydraulic excavator.

Heaped bucket capacity is 0.57m^3.

The material is sand and gravel with a bucket fill factor of 0.95. Job efficiency is 50 min/hour.

Average depth of cut is 4.3m.

Maximum depth of cut is 6.1m and average swing is 90. Cycle output is 250 cycles/60 minutes.

Swing depth factor = 1.0

A. 220 LCM/hr

B. 125 LCM/hr

C. 109 LCM/hr

D. 113 LCM/hr