MSTE

Question 1

In a common carnival game, a player tosses a penny from about 5 feet onto surface of a table ruled in 1-inch squares. If the penny (3/4” in diameter) falls entirely inside a square, the player receives 5 centavos but does not get his penny back; otherwise, he loses his penny. If the penny lands on the table, what is the chance to win if the lines are 1/16 in thick?

Answer 1

Less than 1/28

Question 2

Assuming the sun rises at 6:00 a.m., sets at 6:00 p.m. and moves at a uniform rate, how can a lost boy scout determine south by means of a watch on a cloudless day?

Answer 2

Align hour hand w/ the sun’s azimuth, & south will be midway betw. the hour hand & 12.

Question 3

what is the least number of links that must be disengaged from a 23-link chain so that any # of links from 1 to 23 can be obtained by taking one or more of the pieces?

Answer 3

2 links

Question 4

In a restaurant, customers are given a giveaway item in a form of a toy for every ordered meal. There are three different toys in the said restaurant. What is the probability that a customer who orders 5 meals will have the three different toys?

Answer 4

50/81 = 0.6713

Question 5

Four towns are located at the corners of a square highway network. Four motorists set out from each town, each driving to the next town) in clockwise direction), and each man but the fourth going 8 kph, faster than the car ahead – thus the first car travels 25 km/hr faster than the fourth. At the end of one hour the first and third cars are 204 km, and the second and fourth 212 (beeline) km apart. What is the rate of the first car?

Answer 5

50 kph

Question 6

In a certain network, there are 4 nodes and 4 regions. How many arcs are there in the network?

Answer 6

6

Question 7

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 Elmer’s father. Which series should Elmer choose? Assume that Elmer’s chance of winning against his father is 80% and against the champion is 40%

Answer 7

Champion-Father-Champion with 0.512 probability

Question 8

There are nine cities which are served by two competing airlines. One on the other airline (but not both) has a flight every pair of cities. What is the minimum number of triangular flights (i.e. trips A to B to C and back to A on the same airline)?

Answer 8

12

Question 9

What is the largest number of pigeonholes that can be occupied by 100 pigeons if each hole is occupied, but no 2 holes contains the same number of pigeons?

Answer 9

13

Question 10

Holiday for a worker’s birthday, how many workers should be hired to maximize total man-days worked per year?

Answer 10

365 – 1 = 364

Question 11

Room with n people, what is the probability of at least 2 to have the same birthday?

Answer 11

P = 1 - (365Pn)/365^n)

Question 12

Room with n people, chances are better than even that at least 2 have the same birthday. How many must be present to provide at least an even chance that 2 or more were born on the same day of the week?

Answer 12

4 people

Question 13

Two men are walking toward each other alongside a railway. A freight train overtakes one of them in 20 seconds and exactly 10 minutes later meets the other man coming from the opposite direction. The train passes this man in 18 seconds. How long after the train has passed the second man will the two men meet? Constant speeds are to be assumed throughout.

Answer 13

1 hr, 32 min, 42 sec

Question 14

If a stick is broken in two at random, what is the average ratio of the smaller length to the longer?

Answer 14

0.386

Question 15

If a chord is selected at random on a fixed circle, what is the probability that its length exceeds the radius of the circle?

Answer 15

2/3

Question 16

An earthquake had a Richter number of n. How does the intensity of the earthquake compare with the reference intensity?

Answer 16

10^n

Question 17

A truth serum given to a suspect is known to be 90% reliable when the person is guilty and 99% reliable when the person is innocent……………………………….what is the probability that he is innocent?

Answer 17

0.174

Question 18

4 people are doing business together. They agreed that their money is kept in a safe. In order to open tit, majority must be present. The safe is provided with a number of different locks, and each one of them is given the keys to certain locks. Find the number of locks req’d and the number of keys they must have.

Answer 18

6 locks, 3 keys

Question 19

The local weather forecast says “no rain” and his record is 2/3 accuracy. But the FMS predicts “rain” and their record is ¾. With no other data available, what’s the chance of rain?

Answer 19

3/5

Question 20

Five points are in, or on, the perimeter of an equilateral triangle with a-inch sides. If d is the distance between the closest pair of points what is the maximum possible value of d?

Answer 20

a/2

Question 21

From where he stands, one step toward the cliff would send the drunken man over the edge. He takes random steps, either toward or away from the cliff. At any step his probability of taking a step away is 2/3, of a step toward the cliff 1/3. What is his chance of escaping the cliff?

Answer 21

prob of falling = prob of escaping = 1/2

Question 22

Player M has P1, and Player N has P2. Each play gives one of the players P1 from the other. Player M is enough better than Player N that he wins 2/3 of the plays. They play until one is bankrupt. What is the chance that Player M wins?

Answer 22

4/7

Question 23

A coffee pot is in the shape of a frustum of a cone with open-top diameter one half of its base diameter. The two-cup mark of the pot is along its mid-height. Where should the three-cup mark be located?

Answer 23

2% way down from the top

Question 24

A coin is so unbalanced that you are likely to get two heads in two successive throws as you are to get tails in one. What’s the probability of getting heads in a single throw?

Answer 24

h h = 1 – h

h = 0.618

Question 25

In a laboratory, each of a handful of thin 9-inch glass rods had one tip marked with a blue dot and the other with a red. When the laboratory assistant tripped and dropped them onto the concrete floor, many broke into three pieces. For these, what was the average length of the fragment with the blue dot?

Answer 25

3 inches

Question 26

Device mounted on a fixed support (permanent signs) or portable support (temporary signs) whereby a specific message is conveyed by means of words or symbols placed or erected for the purpose of regulating, warning, or guiding traffic.

Answer 26

Traffic Signs

Question 27

Signs that inform road users of the traffic laws and regulations which is disregarded will constitute an offense

Answer 27

Regulatory Signs

Question 28

Signs that instruct road users to meet certain traffic rule requirements on road condition.

Answer 28

Special Instruction Signs

Question 29

Signs which warn road users of condition on or adjacent to the road maybe unexpected or hazardous.

Answer 29

Warning Signs

Question 30

Signs which warn or advise temporary hazardous conditions that could endanger road users, or the men and equipment engaged on roadworks.

Answer 30

Roadwork Signs

Question 31

Signs which provide means of displaying essential traffic information on wide multi-lane roads, where some degree of lane use control is required or where side of road clearance is insufficient to accommodate a roadside sign.

Answer 31

Overhead Signs

Question 32

Signs which inform and advise road users of directions, distances, routes, and the location of services for road users and point of interest.

Answer 32

Guide Signs

Question 33

Signs used to guide drivers through a change in horizontal alignment of the road.

Answer 33

Chevron Signs

Question 34

Signs used for intersections

Answer 34

Crossroad Signs

Question 35

Highway appurtenances designed to prevent vehicular penetration from the travel way to areas behind the barrier such as to minimize damage to impacting vehicles and their occupants, and to reduce the risk of injuries to pedestrians and workers.

Answer 35

Barriers

Question 36

Light retro-reflecting devices mounted at the side of the roadway, in series, to indicate the roadway alignment.

Answer 36

Delineators

Question 37

Warning devices used to supplement other controls and devices necessary to alert motorists of construction and maintenance activities or obstructions in the roadway

Answer 37

Flashing Lamps

Question 38

Roadwork devices consisting of precast concrete sections, sandbag and others which may be used to guide traffic at the construction site

Answer 38

Temporary Curbing

Question 39

Device used in place of rigid cones with a minimum of 450 mm by 50 mm wide with alternate bands of contrasting color as seen by approaching traffic for delineation of traffic.

Answer 39

Bollard

Question 40

Means any traffic control device marked on the surface of the carriageway used to regulate traffic or to warn or guide road users

Answer 40

Road Markers

Question 41

Regulatory Signs Additional Information (height limit, speed limit)

Answer 41

Circle Signs

Question 42

Give Way Warning Signs

Answer 42

Equilateral Triangle Signs

Question 43

Directional signs Roadwork signs Special purposes signs Facility Information Signs Instruction Signs Guide Signs Point of Interest Signs

Answer 43

Rectangle Signs

Question 44

Stop signs

Answer 44

Octagon Signs

Question 45

Pedestrian and school crossing signs

Answer 45

Pentagon Signs

Question 46

No. of vehicles per unit distance, occupying a section of roadway at a given instant time

Answer 46

Density

Question 47

The actual number of vehicles observed to pass a given point on the highway at a given time

Answer 47

Volume (more accurate than Density)

Question 48

Rate at which vehicles pass a fixed point (veh/hour)

Answer 48

Flow

Question 49

The maximum sustained 15-minute rate of flow, expressed in passenger cars per hour per lane, which can be accommodated by a uniform freeway segment under prevailing traffic and road conditions in one direction

Answer 49

Capacity

Question 50

No. of vehicle moving in a specified direction on a given lane or roadway that pass a given point during specified unit time.

Answer 50

Traffic Volume

Question 51

Maximum number of vehicles, which have a reasonable expectation of passing over a given section of a lane or a roadway in one direction or in both directions during one hour under prevailing road and traffic conditions.

Answer 51

Road Capacity

Question 52

Ability of a roadway to accommodate traffic volume Max no. of vehicles in a lane or a road that can pass a given point in unit time,

Answer 52

Traffic Capacity

Question 53

Max no, of passenger that can pass a given point a lane or roadway during one are under the most ideal roadway and traffic conditions, which can possibly be attained

Answer 53

Basic Capacity

Question 54

Max no. of cars that can pass a point during one hour under prevailing roadway & traffic conditions

Answer 54

Possible Capacity

Question 55

Max no. of cars in one hour without traffic density being so great to cause any delay or hazard to the driver

Answer 55

Practical Capacity

Question 56

Vehicle’s instantaneous speed at a specified location

Answer 56

Spot Speed

Question 57

Vehicle’s average speed over a length of roadway at any time Harmonic mean of speeds passing a point during a period of time;

Answer 57

Space Mean Speed

Question 58

Average of spot speeds of all vehicles passing a point in a highway

Answer 58

Average Speed

Question 59

Speed distribution of vehicles at a point on a roadway Average of instantaneous speeds of observed vehicles at the spot

Answer 59

Time Mean Speed

Question 60

allow slower travel for large vehicles such as large trucks or semi-trailer trucks, ascending a steep grade.

Answer 60

Climbing Lanes

Question 61

the part of the main road that is used for passing other vehicles and is nearest the center of the road.

Answer 61

Overtaking Lane or Passing Lane

Question 62

used to separate adjacent lines of traffic moving in the same direction.

Answer 62

Lane line

Question 63

is expressed as a K value, which is the length of the vertical curve in meters for 1% change in grade

Answer 63

Vertical Curve

Question 64

Messages are ____ in color.

Answer 64

White

Question 65

Letters or numerals used on roads in urban areas shall be at least ____. On high speed highways, they must be at least ____.

Answer 65

2.5 m ; 5 m

Question 66

Vertical distance or difference in elevation of contour lines

Answer 66

Contour Interval

Question 67

Reaction time used for road safety.

Answer 67

2.5 seconds

Question 68

Reaction time used for road safety.

Answer 68

2.5 seconds

Question 69

Ideal capacity of a road

Answer 69

2000 veh/hr

Question 70

Parabolas centered about the point of intersection of the vertical tangents they join

Answer 70

Vertical Curve

Question 71

Primary consideration in the design of geometric cross section of highways, runways and taxiways

Answer 71

Drainage

Question 72

Commonly identified as primary, secondary, and working control on the jobsite

Answer 72

Horizontal Control

Question 73

Rule ____ is the guidelines regarding Personal Protective Equipment (PPE).

Answer 73

Rule 1080

Question 74

Pavement markings shall only be applied or removed by this agency

Answer 74

DPWH

Question 75

Based on the expression on the technical resolution of international water way congress, about how many percent of tide is guaranteed safe for the ships?

Answer 75

98 %

Question 76

The difference between the actual travel time and a given segment of a transportation system and some ideal travel time for that given segment

Answer 76

Delay

Question 77

Messages when painted on pavement should be limited to how many words only?

Answer 77

Three words or less

Question 78

Written instructions detailing how the facility is to be constructed

Answer 78

Specifications

Question 79

Pavement and Curb Markings those laid in the direction of travel (center line, lane line, double yellow line, etc.)

Answer 79

Longitudinal Lines

Question 80

Pavement and Curb Markings those laid across the direction of travel (stop line, give way line, pedestrian crossing markings, etc.)

Answer 80

Transverse Lines

Question 81

Pavement and Curb Markings turn lines, parking bays, painted median islands, and Bus & PUJ Lane Lines

Answer 81

Other Lines

Question 82

Pavement and Curb Markings approach markings to islands and obstructions, markings on entrance and exit ramps, approach to railroad crossing, messages and symbols, and pavement arrows

Answer 82

Other Markings

Question 83

Made to establish the horizontal and vertical positions of arbitrary points.

Answer 83

Control Survey

Question 84

Made to determine the length and direction of land lines and to establish the position of these lines on the ground.

Answer 84

Boundary Survey

Question 85

Made to gather data to produce a topographic map showing the configuration of the terrain and the location of natural and man-made objects.

Answer 85

Topographic Survey

Question 86

The survey of bodies of water made for the purpose of navigation, water supply, or sub-aqueous construction.

Answer 86

Hydrographic Survey

Question 87

Made to control, locate and map underground and surface works related to mining operations.

Answer 87

Mining Survey

Question 88

Made to lay out, locate and monitor public and private engineering works

Answer 88

Construction Survey

Question 89

Refers to those control, topographic, and construction surveys necessary for the location and construction of highways, railroads, canals, transmission lines, and pipelines.

Answer 89

Route Survey

Question 90

Made to utilize the principles of aerial photogrammetry, in which measurements made on photographs are used to determine the positions of photographed objects

Answer 90

Photogrammetric Survey

Question 91

generally involves imaging or “mapping” of regions of the sky using telescopes

Answer 91

Astronomical survey

Question 92

the correction to be applied to the latitude or departure of any course is to the +total correction in latitude or departure as the length/distance of the course is to the length/perimeter of the traverse.

Answer 92

Compass Rule (Bowditch Rule)

Question 93

the correction to be applied to the latitude or departure of any course is to the total correction in latitude or departure as the latitude or departure of that course is to the arithmetical sum of all the latitude or departure in the traverse without regards to sign.

Answer 93

Transit Rule

Question 94

Any structure built into the sea but not parallel to the coastline and includes any stage, stair, landing place, or other works connected therewith

Answer 94

Pier

Question 95

A place where ships may anchor or tie up for the purpose of shelter, repair, loading or discharge of cargo, or for other such purposes

Answer 95

Port

Question 96

A tower, building, or other type of structure designed to emit light from a system of lamps and lenses, and to serve as a navigational aid for maritime pilots at sea or inland waterways

Answer 96

Lighthouse

Question 97

A continuous structure built parallel to or along the margin of the sea or alongside riverbanks, canals, or waterways where vessels may lie alongside to receive or discharge cargo, embark or disembark passengers, or lie at rest

Answer 97

Wharf

Question 98

a navigable deep channel leading through a harbor or along a shoreline

Answer 98

Fairway or Waterway

Question 99

a natural submerged ridge, bank, or bar that consists of, or is covered by, sand or other unconsolidated material, and rises from the bed of a body of water to near the surface

Answer 99

Shoal

Question 100

a strait or narrow sea between two close landmasses

Answer 100

Channel

Question 101

The average height of the sea for all stages of the tide obtained from systematic observations of sea levels at equal intervals over a long period of time along a given coastline.

Answer 101

Mean Sea Level

Question 102

Datum line for design of port facilities in accordance with charts which is being used by Philippine Ports Authority.

Answer 102

Mean Lower Low Water (MLLW)

Question 103

Water level that guarantees about water depth for safety of the ships berthing on a certain ports and harbor below the MLLW should be?

Answer 103

0.15 – 0.40 m

Question 104

Ratio of wave height to its wavelength

Answer 104

Steepness

Question 105

The pressure against a vertical wall due to waves.

Answer 105

Clapotis

Question 106

The distance that the wind blows over the sea in generating the waves is known as:

Answer 106

Fetch

Question 107

Waves formed by moving ship or boats are called:

Answer 107

Wakes

Question 108

Waves under the influence of winds or storms which occur outside area of observation

Answer 108

Swells

Question 109

A very long-standing wave on a large but limited body of water generally occurring when a storm dies down after producing a wind tide

Answer 109

Seiche

Question 110

An instrument use to measure the intensity of wind.

Answer 110

Beufort’s Scale

Question 111

A wave at a point where the depth is equal to ½ of the wavelength or greater to be expressed in terms of the parameters of significant wave.

Answer 111

Deep Water Waves

Question 112

Waves which occur in water having a depth less than one half of the wavelength and the influence of the bottom changes the form or orbital motion from circular to elliptical or near elliptical.

Answer 112

Shallow Water Waves

Question 113

A hypothetical wave having a wave height and period equal to average values of the wave height and period of the largest 1/3 of all waves in the train as counted in the order of greater wave height.

Answer 113

Significant Waves

Question 114

A maximum wave height and wave period of the maximum wave height in the wave train.

Answer 114

Highest Wave

Question 115

Waves which fall forward since the forward velocity of the crest particles exceeds the velocity of propagation of the wavelength L is less than 7 times the wave height (L < 7H)

Answer 115

Breaking waves

Question 116

Waves are formed by the frictional drag of wind across the water surface, this is a process of transferring energy from wind to water

Answer 116

Gravity Waves

Question 117

The regular periodic rise and fall of the surface of the seas, observable along their shores,

Answer 117

Tide

Question 118

When the lines connecting the earth with the sun and the moon form a right angle, that is the moon is in its quarters, then the actions of the moon and sun are subtractive, and the lowest tides of the month occur, this is called:

Answer 118

Neap Tides

Question 119

Known as falling tides

Answer 119

Ebb Tides

Question 120

In many parts of the world, the high waters reach their greatest height and the low waters at the least height, soon after the time of full moon and new moon. These tides are called:

Answer 120

Spring Tides

Question 121

Tides which occur only one high tide a day is called:

Answer 121

Diurnal tide

Question 122

The periodic rise and fall of sea level in response to the gravitational attraction of the sun and moon as modified by the earth's rotation.

Answer 122

Astronomical Tide

Question 123

Owing to retardation of the tidal wave in the ocean by frictional force, as the earth revolves daily around its axis and as the tide tends to follow the direction of the moon, the highest tide for each location is not coincident with conjunction and opposition but occurs at some constant time after new and full moon. This interval which may amount to as much as two and a half days is known as;

Answer 123

Age of the Tides

Question 124

Layer of pavement which finally carries the load from the road

Answer 124

Sub-grade

Question 125

Part of road structure which is immediately above the sub-grade and composed of stone boulders or superior soil

Answer 125

Sub-base

Question 126

Component of the road structure which receives the traffic load and transfer it to the sub-grade. The top surface of a road structure.

Answer 126

Base

Question 127

One or more layers of crushed aggregate, which are bonded by bituminous materials and a seal coat laid on top is called:

Answer 127

Surface dressing

Question 128

A 20mm thick premix bitumen layer over which is laid a seal coat

Answer 128

Bitumen carpet

Question 129

A road made of coarse aggregates mechanically interlocked by rolling and bonded together with screening dust

Answer 129

Water Bound Macadam

Question 130

A layer consisting of properly designed mix of course aggregate, fine aggregate, a filler and a bituminous binder:

Answer 130

asphaltic concrete

Question 131

The layer in a road pavement which provides resistance to wear and tear due to traffic

Answer 131

wearing course

Question 132

The layered structure placed over a soil sub-grade for forming road.

Answer 132

Pavement

Question 133

A mixture of bitumen, fine aggregate and filler in suitable proportion heated to about 200°C in special cookers and laid is called

Answer 133

Mastic Asphalt

Question 134

An application of hot bitumen material given to the old surface to provide adhesion to the old and new surface

Answer 134

Tack Coat

Question 135

A layer of stone chipping coat laid over a hot bitumen to make the surface water-proof

Answer 135

Prime Coat

Question 136

A very thin surface applied over a bituminous pavement to make it impervious.

Answer 136

Seal Coat

Question 137

The process of moving soil or rock from one location to another and processing it so that it meets construction requirements of location, elevation, density, and moisture content

Answer 137

Earthmoving

Question 138

Ability of a soil to support the weight of vehicles under repeated traffic

Answer 138

Trafficability

Question 139

Measure of the difficulty in excavating and loading of soil

Answer 139

Loadability

Question 140

Star-shaped figures

Answer 140

Polygram

Question 141

Sum of Two Angles = 360

Answer 141

Conjugate Angles | Explementary

Question 142

For any cyclic quadrilateral, the product of the diagonals equals the sum of the products of the opposite sides

Answer 142

Ptolemy’s Theorem

Question 143

Curves that intersect each curve of the family perpendicularly

Answer 143

Orthogonal

Question 144

A set of points together with line segments joining the points in pairs

Answer 144

Graph/Network

Question 145

A point is a node if there is at least one path (line) starting from it or reaching it. Nodes are named by capital letters of English alphabet.

Answer 145

Nodes in a graph

Question 146

The line segment (path) joining two nodes is an arc

Answer 146

Arcs in a graph

Question 147

Line segment joining any two non-adjacent vertices

Answer 147

Diagonal

Question 148

Distance between two parallel sides of a quadrilateral

Answer 148

Altitude

Question 149

An area bounded by arcs (including outside) is called a region

Answer 149

Region

Question 150

This should always be shown on site plans for orientation purposes. Displaying it prominently is the standard practice

Answer 150

North direction

Question 151

Line intersecting the curve in at least 2 points

Answer 151

Secant Line

Question 152

A line that passes through the centroid, orthocenter, and circumcenter of a triangle (Dist.CENTROID TO ORTHOCENTER = 2x Dist.CENTROID TO CIRCUMCENTER)

Answer 152

Euler’s Line

Question 153

Richter Scale (based on intensity)

Answer 153

R = log(I/Io)

Question 154

Amount which a willing buyer will pay to a willing seller for the property where each has equal advantage and is under no compulsion to buy and sell.

Answer 154

Market Value

Question 155

A subjective assessment of the expected return on an investment at a given risk

Answer 155

Utility Value

Question 156

Asset’s worth when it is deemed no longer usable

Answer 156

Junk Value (Salvage, Scrap, Residual, Break-Up Value)

Question 157

It is anything that can cause harm

Answer 157

Hazard

Question 158

It is the probability of harm actually being done

Answer 158

Risk

Question 159

It is a violation of an accepted safe procedure which could permit the occurrence of an accident.

Answer 159

Unsafe Act

Question 160

A hazardous physical condition or circumstance which could directly permit the occurrence of an accident. Circumstances or deviation from standard condition which could permit an occurrence of accident or incident.

Answer 160

Unsafe Condition

Question 161

Refers to the physical or environmental conditions of work or employment, which substantially comply with the provisions of this standard.

Answer 161

Safety

Question 162

It is the recognition and control of hazards in the workplace

Answer 162

Occupational Safety and Health

Question 163

Looking at the possibility of injury or harm occurring to a person if exposed to a hazard.

Answer 163

Risk assessment

Question 164

Recognizing of things which may cause injury or harm to a person.

Answer 164

Hazard Identification

Question 165

Introduction of measures which will eliminate or reduce the risk of a person being exposed to a hazard.

Answer 165

Risk Control

Question 166

Worst condition which should be considered in coastal engineering

Answer 166

Unusually high sea level with severe wave action

Question 167

Single most important environmental factor in the broad field of coastal engineering

Answer 167

Coastal erosion

Question 168

Probability of a mechanism that will function satisfactorily. If the mechanism is 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.

Answer 168

Reliability

Question 169

Speed limit appropriate on lower standard expressways.

Answer 169

80 or 90 kph