MSTE COMPREHENSIVE Flashcards
1
Q
- The Calculation of the probability that the Critical Path will be completed by time T.
I. Assumes that activity times are statistically independent.
II. Assumes that total time of critical path has approximately a BETA distribution.
III. Requires knowledge of the standard deviation for all activates in the network.
A. II only
B. I only
C. III only
D. All of the Above
A
B
2
Q
- The Process of Bringing each roadway layer to its final grade.
A. Ground Modification
B. Trimming
C. Grading
D. Earthworks
A
B
3
Q
- Bringing of a Concrete surface to true grase with enough mortar to provide the desired finish.
A. Floating
B. Sreening
C. Leveling
D. Troweling
A
C
4
Q
- Wearing away of the pavement surface caused by dislodging of aggregate particles and the loss of asphalt binder. This is usually a result of insufficient asphalt binder in the mix or stripping of asphalt from the paticles of aggregates.
A. Block Cracking
B. Transverse Cracking
C. Longitudinal Cracking
D. Raveling
A
D
5
Q
- Simplify (x-a)(x-b)(x-c)(x-d)β¦(x-y)(x-z)
a. [ π₯^26 - (ππππβ¦ π¦π§)^26 ]
b. 0
c. [ π₯^26 + (ππππβ¦ π¦π§)^26 ]
d. 1
A
B
6
Q
- A father is three times as old as his twin sons. If the sum of their ages in two years will be 81, how old is the father now?
a. 45
b. 40
c. 35
d. 30
A
A
6
Q
- 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.
A
B
7
Q
- 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)
A
D
8
Q
- A tank in a shape of a frustum of a cone is 10m high with an upper radius of 3m and inner radius of 1m. It is filled with 6m height of water. If pump is located 1m above the top , find the work done by the pump to empty the tank.
A. 3239.7
B. 2379.3
C. 9733.2
D. 2337.9
A
A
9
Q
- In a certain college, 4% of the men and 1% of the women are taller than 6ft. Furthermore, 60% of the students are women. If a student is selected at random and is taller than 6ft, find the probability that itβs a woman.
A. 5/11
B. 9/11
C. 3/11
D. 7/11
A
C
9
Q
- Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. How fast is the volume increasing when the radius of the base is 3 ft. and is increasing at the rate of 3 in/min?
a) 3Ο ft/min
b) 36Ο ft/min
c) 30Ο ft/min
d) 3.6Ο ft/min
A
A
10
Q
- A test consists of 6 questions, and to pass the test, a student has to answer at least 4 questions correctly, each question has 3 possible answers of which only one is correct. If a student guesses on each question, what is the probability that the student will pass the test?
A. 0.08
B. 0.10
C. 0.90
D. 0.98
A
B
11
Q
- A parking lot charges x for the first hour of fraction of an hour and 2/3 x for each hour or fraction thereafter. Smith parks 7 times as long as Jones but pays only 3 times as much. How long did each park? (The clock registers only 5-minute intervals)
a) 3.5 & 0.5
b) 3.0 & 1.0
c) 4.0 & 0.5
d) 2.5 & 2.0
A
A
12
Q
- A farmer wants to fence an area of 1.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What would be the dimension of the field so as to minimize the cost of the fence?
a) 1000 ft x 1500 ft
b) 2000 ft x 750 ft
c) 1250 ft by 1200 ft
d) 1224.74 ft by 1224.74 ft
A
A
13
Q
- The difference between the highest and the lowest data is called _____.
a) Standard Deviation
b) First Quartile
c) Range
d) Interquartile Range
A
C
13
Q
- A basketball team is composed of 3 point guards, 4 shooting guards, 2 small forwads,1 power forward and 3 centers. How many groups of 5 can be formed if the group should be composed of players with different positions?
a) 13
b) 36
c) 30
d) 72
A
D
14
Q
- Charlie Meyer paid $24 for the rights to Manhattan Island in 1626. What are the corresponding values in 2006 if i=5%?
a) $2,704,860,603
b) $2,740,860,602
c) $2,860,704,602
d) $2,860,407,602
A
A
15
Q
- A credit charge interest at 1.5% per month. What is the nominal interest rates?
A. 18.00%
B. 1.51%
C. 15.1%
D. 19.56%
A
A
15
Q
- CGNIES office may buy a patent with 14 years of life left. If CGNIES spends $1.5M to implement the technology, it expects net revenues of $650,000 per year for the patentβs life. If MoreTechβs discount rate for moneyβs time value is 10%, what is the maximum price that MoreTech can pay for the patent?
A. 3.3 M
B. 4.4 M
C. 5.5 M
D. 6.6 M
A
A
16
Q
- An engineer has received $10 000 from his employer for a patent disclosure. He has decided to invest the money in a 15-year savings certificate that pays 8% per year, compounded annually. What will be then final value of his investment, in terms of todayβs dollars, if inflation continues at the rate of 6% per year?
A. 13,362
B. 13,423
C. 13,236
D. 13,342
A
C
17
Q
- UM purchased a new service van. A van is depreciated over a 10-year period with salvage value β±500,000. If the van will worth β±870,550 after six years, using Declining Balance Method, how much did UM pay to purchase the van?
A. β±2,500,000
B. β±1,500,000
C. β±2,000,000
D. β±3,000,000
A
C
18
Q
- Calculate the benefit/cost ratio for a highway project with the following benefits and costs. The project life is 40 years, the interest rate is 10%, and the projectβs right-of-way is worth 5M in 40 years.
Construction cost (includes acquiring right-of-way) = 20M
Annual maintenance = β±350,000
Repaving every 8 years =3M
Annual value of lives saved =1M
Time of savings for commercial traffic = 1.25M
Time of savings for commuter and recreational traffic= 1M
a) 1.23
b) 1.12
c) 1.33
d) 1.62
A
A
19
Q
- From the figure shown, determine the bearing of B from O.
a) S 57.59Β° E
b) S 67.22Β° E
c) N 22Β° W
d) N 66Β° W
A
A
20
Q
- A divided highway goes under a number of bridges, the arch over each lane being in the form of a semi-ellipse width. A truck is 6 ft wide and 12 ft high. What is the lowest bridge under which it can pass?
A. 12
B. 13.5
C. 12.5
D. 13
A
B
21
Q
- A neat computer programmer wears a clean shirt everyday. If he drops off his laundry and picks up the previous weekβs load every Monday night, how many shirts must he own to keep him going?
A. 8
B. 7
C. 14
D. 15
A
D
22
Q
- Write the equation of the circle going through the points P(2,-1) , Q(-3,0), & R(1,4)
A. 3x2 + 3y2 + x β 7y β 24 = 0
B. 3x2 + 3y2 β x + 7y - 24 = 0
C. 3x2 + 3y2 + x β 7x + 24 = 0
D. 3x2 + 3y2 β x + 7y + 24 = 0
A
A
23
Q
- A piece of wire 10m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. What is the perimeter of the square so that the total area enclosed is minimum?
a. 4.35
b. 6.98
c. 7.53
d. 5.65
A
A
24
Q
- A satellite camera takes a rectangular shaped picture. The smallest region that can be photographed is a 5km x 7km rectangle. As the camera zooms out, the length L and width W of the rectangle increase at a rate of 3 km/sec. How long does it take for area A to be at least 7 times its original size?
a. 3.63 s
b. 3.23
c. 3.66
d. 3.33
A
B