問題一覧
1
Past boards 2022 There are a set of triplets. If there are 11 generations, how many ancestors do they have if duplication is not allowed?
4095
2
Past boards 2023 The dimensions of a rectangular prism can be expressed as x+1, x-2, and x+4. In terms of x, what is the volume of the prism?
x^3+3x”-6x-8
3
Past boards 2023 Evaluate the double integral of 1/ (x-y) dxdy with inner bounds of 2y to 3y and outer bounds of 0 to 2.
In 4
4
PAST BOARDS 2023 A cylindrical container open at the top with minimum surface area at a given volume. What is the relationship of its radius to height?
radius = height
5
Past boards 2023 Solve the equation y’ = y/2x.
y^2 = cx
6
Past boards 2023 A political scientist asked the group of people how they felt about the policy statements. Each person was to respond A (agree), N neutral or D disagree to each NN, ND, NA, DD, DA, AA, AD, and AN. Assuming each response combination is equally likely, what is the probability that the person being interviewed agrees with exactly one of the two policy statements?
4/9
7
Past boards 2023 A ball is dropped from a height of 18m. On each rebound it rises 2/3 of the height form which it last fell. What distance has it traveled at the instant it strikes the ground for the 5th time?
75.78 m
8
It has been estimated that a maximum run-off of approximately 94 m^3/s will be available at a hydraulic project with a head of 39m. Determine the firm's year gross output?
315 GWh
9
A wind generator with an efficiency of 0.85 has a blade diameter of 20m. If the wind velocity is 30kph, how much power is obtainable from the generator?
1200kW
10
A power plant has the following given data: load factor of 0.48, installed capacity of 35 MW, reserve over peak of 3 MW, hours out of service per year, 410 hrs. Find the plant use factor.
0.46
11
A 60 MW station has an annual peak load of 50 MW. The power station supplies loads having a maximum demand of 20 MW, 17 MW, 10 MW and 9 MW. Determine the diversity factor.
1.12
12
The net energy requirement in a p lace was approximately 2.82×106 GWh. What is the equivalent of this energy in quad?
9.62
13
Past boards 2023 donations were made by alumni for a school to fund a new computer room. Data shows that 80% of alumni give at least P50. If the administration contacts 20 alumni, what is the probability that less than 17 of them will give at least P50.
0.589
14
MATH PAST BOARDS Carmela and Marian got summer jobs at the ice cream shop and were supposed to work 15 hours per week each for 8 weeks. During that time, Marian was ill for one week and Carmela took her shifts. How many hours did Carmela work during the 8 weeks?
135
15
Past boards 2023 A conic section whose eccentricity is less than one (1) is known as:
an ellipse
16
PAST BOARD 2022 From the top of a building the angle of depression of the foot of a pole is 48 deg 10 min. From the foot of a building the angle of elevation of the top of a pole is 18 deg 50 min. Both building the pole are on a level ground. If the height of a pole is 4 m, how high is the building?
13.10 m
17
MATH PASS BOARDS. The segment from (-1,4) to (2, -2) is extended three times its own length. The terminal point is
(11, -20)
18
Past boards 2023 Find the area of the polygon with vertices at: 2+3i, 3+i, -2-4i, -4-i, -1+2i
47/2
19
Past board 2022 Evaluate ∫lnxdx from 1 to e
1
20
Past board 2022 In the curve 2+12x-x 3 , find the critical points.
(2,18) & (-2,-14)
21
April 2023 The primary of a 3:1 step-Up transformer is connected to & source and the secondary is connected to & resistor R. The power dissipated by R in this situation is P. If R is connected directly to the source it will dissipate a power of:
P/9
22
April 2023 An LC Circuit Has An Oscillation Frequency Of105 Hz. If C = 0.1 ΜF, Then L
2.5 uF
23
Past boards 2023 Solve (x+y)dy=(x-y)dx
x^2-2xy-y^2=C
24
Past boards 2022 There are a set of triplets. If there are 11 generations, how many ancestors do they have if duplication is not allowed?
4095
25
Past boards 2023 Find the moment of inertia of the area bounded by the parabola y^2 = 4x and the line x = 1, with respect to x-axis.
2.133
26
ESAS PAST BOARDS Which of the following is an instruction that causes data to be brought from memory intoan accumulator register?
LOAD
27
Past board 2023 The area enclosed by the ellipse 4x^2 + 9y^2= 36 is revolved about the line x = 3, what is the volume generated? A. 370.3 B. 360.1 C. 355.3* D. 365.1
355.3
28
Past boards 2023 Solve the equation y’ = y/2x. a. y^2 = cx^3 b. y = cx^2 c. y^2 = cx * d. y = cx
y^2 = cx
29
Past boards 2023 The centroid of the area bounded by the parabola y^2 = 4ax and the lin x = p coincides with the focus of the parabola. Find the value of p.
5/3 a
30
Past boards 2023 Project managers who do not understand the role that their project plays in accomplishing the organization's strategy tend to make all the following mistakes except:
All the above are likely mistakes
31
Past board Which of the following ratios describes Reynolds number?
Inertial forces/ Viscous forces
32
PAST BOARDSSSSSSS The executive officer of the Board of Electrical Engineering is _______.
PRC Commissioner
33
PAST BOARDS 2023 Reasons why estimating time and cost are important include all of the following except:
All of the above are valid reasons
34
PAST BOARDS REE APRIL 2023 A circular top is located 4m below and 3m to the left of a lamp that emits 2000 lumens. What illumination is provided on the surface of the table?
5.09 lux
35
PAST BOARDS 2022 A process in which pressure is constant.
Isobaric
36
PAST BOARD 2023 a ladder 6 m long weighs 120 n. it leans against a smooth wall making an angle of 50 degrees with horizontal. The coefficient of friction with the floor of 0.5. How far up the ladder can an 800-N worker climb before the ladder starts to slip?
3.67 m
37
ESAS terms 😁 Typical kinds of costs found in a project include
A, B, and C are all included
38
ESAS TERMS _ is a software that allows users to have a fast and flexible access to information in large documents, constructing associations among data items needed.
Hypertext
39
PAST BOARD REE MATH APRIL 2023 Find the area bounded by r = 2/(1 + cos θ) and cos θ = 0.
8/3
40
PAST BOARDS 2023 Which of the following is a main reason why project managers need to understand their organization's mission and strategy?
Both B and C are correct
41
Two equal charges of opposite sign are separated by a horizontal distance of 70mm. If the resultant electric field at the midpoint of the line is 4x10⁴ N/C. What is the magnitude of each charge?
2.7nC
42
PAST BOARDS 2022 The present worth of all depreciation over the economic life of the item is called
depreciation recovery nd sure
43
PAST BOARD 2023 Project selection criteria are typically classified as
Financial and non-financial
44
PAST BOARDS 2022 A piece of property is purchased for P100,000 and yields P10,000 yearly profit. If the property is sold after five years, what is the minimum price to break-even, with interest at 6 percent?
P77,430
45
PAST BOARD ECON QUESTION Find the amount of money you have to deposit in order to accumulate P1,500 per quarter for interest rate of 12% compounded quarterly.
P34,672.16
46
Past board 2023 Protection of workers from impact penetration from falling and flying objects, blows, and from limited electric shock and burns shall be provided where there is reasonable probability of exposure to such hazards.
Hard Hat
47
Past boards 2023 The process of forecasting or approximating the time and cost of completing project deliverables is called
Estimating
48
PAST BOARD 2023 Which of the following financial models are typically included in project selection?
Both A and B are correct
49
PAST BOARDS 2022 To construct a high-quality, custom home within five months at costs not to exceed $150,000" is best classified as
An objective
50
PAST BOARDS In reviewing the project plan, Susan sees that the first prototype is due by October 12. This would be best classified as a
Milestone
51
Past boards ESAS 😁 Projects are usually classified into all but one of the following categories. Which one is not one of the typical classifications?
Political necessity
52
Past board 2022 Susie's department is implementing many projects. She finds herself starting and stopping work on one task to go and work on another task, and then return to the work on the original task. Susie is experiencing
Multitasking
53
PAST BOARDS 2023 A good starting point for developing time and cost estimates is
Past experience
54
Past boards 2023 The first step in creating the necessary information to manage a project is to
Define the project scope
55
PAST BOARDS 2023 Jose is looking at a document that outlines the specific tasks and subtasks required to complete the writing of a technical support manual. The method that was probably used to develop the document is most likely
Work breakdown structure
56
Past boards 2023 The differential of the shear stress equation is which one of the following:
Load on the beam
57
PAST BOARDS 2023 Which of the following would be considered a direct project cost?
A, B, and C are all considered direct costs
58
Past boards 2022 Buying insurance is a form of: A. Risk elimination B. Risk reduction C. Risk sharing D. Risk absorption
Risk sharing
59
Past board A steel railroad rails 10m long are laid with clearance of 3 mm at a temperature of 15ºC. At what temperature will the rails just touch? If there were no initial clearance. Assume: alpha = 11.7 micro m/m deg. C and E = 200 GPa.
40.64 deg
60
Past boards 2022 In a spreadsheet (EXCEL), the number in cell A2 is set to 2. Then cell B2 is set to A2 x4 / $A$2, where $ indicates the absolute cell address. This formula is copied into cells C2 and D2. What is the value shown in cell D2?
16
61
PAST BOARDS 2022 Section 40 of article IV of RA 7920 is the Penalty Clause, states that any person who shall violate any of the provisions of this Act shall be guilty of misdemeanor and shall, upon conviction, be sentenced to a fine of not less than __________ nor morethan P50, 000 or imprisonment for a period not less than 6 months nor more than 5 years or both at the discretion of the court.
P 10,000
62
ESAS terms Which computer port is commonly used in order to speed up the transfer of the computer data?
Parallel port
63
Past board A man who won P300, 000 in a lottery decided to place 50 percent of his winnings in a college education of his son. If the money earn 14 percent a year compounded quarterly, how man have at the end of 10 years, when his will starting his college education?
P593, 888.96
64
ESAS past board 😊 A software program designed to enter a computer system, usually a network, through security “holes” and then replicate itself.
Worm
65
PAST BOARDS 2022 A manufacturing company buys a machine for P500,000. It estimates the machine’s useful life is 20 years and that it can be sold for P50,000. Using straight line depreciation, what is the annual depreciation charge?
P22,500
66
Past boards 2023 Find the present worth if interest after 3 years and 6 months is P900 at simple interest rate of 4% per annum.
P6,429
67
PAST BOARD 2023 An electrical engineer wishes to accumulate a total of P10,000,000 in a saving account at the end of 10 years. If the bank pays only 4 percent compounded quarterly, what should be the initial deposit?
P6.72 M
68
Past board 2022 An instruction that causes data in the accumulator to be moved to the memory or a peripheral register
STORE
69
PAST BOARD 2023 Water flows from a reservoir with an elevation of 25 m out a short pipe that contains a turbine power. The exit is at an elevation of 5 m. If the flow rate is 0.01 m3 /s, the maximum power output is.
1960 W
70
ESAS PAST BOARD TERMS Which work mode is a non-equilibrium work mode?
Energizing an electrical resistor
71
Past board 2023 A vertical test tube has 2.0 cm of oil (ρ = 0.80 g/cm3) floating on 8.0 cm of water. What is the pressure at the bottom of the tube due to the fluid in it?
0.94 kPA
72
Past boards 2023 NGCP warns _________ alert if tropical disturbance within 24 hours.
Blue
73
PAST BOARDS What is the other term for storing data in a moemory?
writing
74
PAST BOARDS 2022 The three moment equation may be used to analyze.
a continuous beam
75
A 3-cm wavelength radar is located at the origin of an x-y coordinate system. A car located at x = 100 m and y = 200 m is heading east (x-direction) at a speed of 120 km/hr. What is the Doppler frequency measured by the radar?
-993.88 Hz
76
Past board 2022 A typical jet fighter launched from an aircraft carrier reaches a take-off speed of 175mph over a distance of 310 ft. How long in seconds does it take to launch the fighter?
2.4
77
PAST BOARDS 2023 What is the form of the moment diagram of a beam supported at both ends and carrying a uniformly distributed load?
Parabola
78
Past board 2022 Which of the following elements and compounds is unstable in its pure form?
Sodium (Na)
79
Past board 2023 What is the weight percentage of engineering sciences and allied subjects?
30
80
Past boards 2022 Combination of laminar and turbulent flow.
critical
81
Past board 2023 In matlab, thiskeyword immediately moves to the next iteration of the loop
continue
82
PAST BOARD 2022 Receptacle outlet that is part of the luminaire or appliance, located within cabinets or cupboards shall be located not more than mm, above the floor
1700
83
A machine is under consideration for investment. The cost of the machine is P25,000.00. Each year it operates, the machine will generate a savings of P15,000.00. given the effective annual interest rate of 18%, what is the discounted payback period, in years, on the investment of the machine?
2.15 yrs
84
PAST BOARDS 2023 If the velocity of the flow in a 20 cm radius hose in a 1.2 m/s, what is the output velocity in a 0.5 cm radius issuing from a nozzle attached at the end of the pipe?
0.192 m/s
85
PAST BOARD 2023 Whichofthefollowing is not a pre-defined variable in Matlab.
Gravity
86
Past board 2022 In computing, what is a tape drive?
data storing device
87
Past boards 2022 When installing the heatsink back into a computer after replacing a failed processor, which of the following must be done during installation?
Thermal compound must be installed between the processor and the heatsink.
88
A bicycle travels a long straight line road. At 1:00, It is (t squared) miles from the end of the end of the road. Calculate it's average velocity in mph, from 1:00 to 4:00
5
89
A closed rectangular "r" box is 6cm by 8cm by 10cm is painted 0.1cm thick. Find the cc of paint used to.
37.6
90
RECENT PAST BOARD TERMS 😁 Tappings on transformers are provided on.
At middle of HV side
91
RECENT PAST BOARD TERMS 😁 What is necessary to make connection of external circuit with windings?
Bushing
92
RECENT PAST BOARD TERMS 😁 Important application of DC motor are?
C. Both a and b
93
RECENT PAST BOARD TERMS 😁 Turbo generator has how many pole machine?
2