MSTE Flashcards
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?
Less than 1/28
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?
Align hour hand w/ the sun’s azimuth, & south will be midway betw. the hour hand & 12.
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?
2 links
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?
50/81 = 0.6713
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?
50 kph
In a certain network, there are 4 nodes and 4 regions. How many arcs are there in the network?
6
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%
Champion-Father-Champion with 0.512 probability
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)?
12
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?
13
Holiday for a worker’s birthday, how many workers should be hired to maximize total man-days worked per year?
365 – 1 = 364
Room with n people, what is the probability of at least 2 to have the same birthday?
P = 1 - (365Pn)/365^n)
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?
4 people
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.
1 hr, 32 min, 42 sec
If a stick is broken in two at random, what is the average ratio of the smaller length to the longer?
0.386
If a chord is selected at random on a fixed circle, what is the probability that its length exceeds the radius of the circle?
2/3
An earthquake had a Richter number of n. How does the intensity of the earthquake compare with the reference intensity?
10^n
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?
0.174
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.
6 locks, 3 keys
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?
3/5
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?
a/2
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?
prob of falling = prob of escaping = 1/2
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?
4/7
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?
2% way down from the top
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?
h h = 1 – h
h = 0.618
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?
3 inches
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.
Traffic Signs
Signs that inform road users of the traffic laws and regulations which is disregarded will constitute an offense
Regulatory Signs
Signs that instruct road users to meet certain traffic rule requirements on road condition.
Special Instruction Signs
Signs which warn road users of condition on or adjacent to the road maybe unexpected or hazardous.
Warning Signs
Signs which warn or advise temporary hazardous conditions that could endanger road users, or the men and equipment engaged on roadworks.
Roadwork Signs
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.
Overhead Signs
Signs which inform and advise road users of directions, distances, routes, and the location of services for road users and point of interest.
Guide Signs
Signs used to guide drivers through a change in horizontal alignment of the road.
Chevron Signs
Signs used for intersections
Crossroad Signs
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.
Barriers
Light retro-reflecting devices mounted at the side of the roadway, in series, to indicate the roadway alignment.
Delineators
Warning devices used to supplement other controls and devices necessary to alert motorists of construction and maintenance activities or obstructions in the roadway
Flashing Lamps
Roadwork devices consisting of precast concrete sections, sandbag and others which may be used to guide traffic at the construction site
Temporary Curbing
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.
Bollard
Means any traffic control device marked on the surface of the carriageway used to regulate traffic or to warn or guide road users
Road Markers
Regulatory Signs
Additional Information (height limit, speed limit)
Circle Signs
Give Way
Warning Signs
Equilateral Triangle Signs
Directional signs
Roadwork signs
Special purposes signs
Facility Information Signs
Instruction Signs
Guide Signs
Point of Interest Signs
Rectangle Signs
Stop signs
Octagon Signs
Pedestrian and school crossing signs
Pentagon Signs
No. of vehicles per unit distance, occupying a section of roadway at a given instant time
Density
The actual number of vehicles observed to pass a given point on the highway at a given time
Volume (more accurate than Density)
Rate at which vehicles pass a fixed point (veh/hour)
Flow
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
Capacity
No. of vehicle moving in a specified direction on a given lane or roadway that pass a given point during specified unit time.
Traffic Volume
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.
Road Capacity
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,
Traffic Capacity
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
Basic Capacity
Max no. of cars that can pass a point during one hour under prevailing roadway & traffic conditions
Possible Capacity
Max no. of cars in one hour without traffic density being so great to cause any delay or hazard to the driver
Practical Capacity
Vehicle’s instantaneous speed at a specified location
Spot Speed
Vehicle’s average speed over a length of roadway at any time
Harmonic mean of speeds passing a point during a period of time;
Space Mean Speed
Average of spot speeds of all vehicles passing a point in a highway
Average Speed
Speed distribution of vehicles at a point on a roadway
Average of instantaneous speeds of observed vehicles at the spot
Time Mean Speed
allow slower travel for large vehicles such as large trucks or semi-trailer trucks, ascending a steep grade.
Climbing Lanes
the part of the main road that is used for passing other vehicles and is nearest the center of the road.
Overtaking Lane or Passing Lane
used to separate adjacent lines of traffic moving in the same direction.
Lane line
is expressed as a K value, which is the length of the vertical curve in meters for 1% change in grade
Vertical Curve
Messages are ____ in color.
White
Letters or numerals used on roads in urban areas shall be at least ____. On high speed highways, they must be at least ____.
2.5 m ; 5 m
Vertical distance or difference in elevation of contour lines
Contour Interval
Reaction time used for road safety.
2.5 seconds
