MAY 2018 C.E BOARD EXAM CHUA
MATHEMATICS, SURVEYING TRANSPORTATION ENGINEERING SOURCES, AND SOLUTIONS PART 1 of 2
bra)) The intensity of the earthquake and the Reference intensity are 1. (A lg ebra related by the formula: R=log An earthquake in San Francisco in 1989 was was reported to have a Richter number of 6.90. How does the intens intens ity of the earthqua earthquakk e compare compare with the reference reference Intensi Intensity? ty? *SOURCE: GO TO FOLDER 2. ENGINEERING ENGINEERING MATHEMATICS I GO TO SUB FOLDER 2. ALGEBRA GO TO SUB FOLDER 3. COLLEGE ALGEBRA FILE NUMBER 3, PAGE 293 OF 417 OF PDF
(make sure you eBooks are updated-2018) *SOLUTION:
2. (Geometry) An icicle forming from a dripping gutter is in the shape of a cone five times as long as it is width (at the top). A Few hours later it has doubled in length and the generating angle has also doubled.
How does its pres ent weig ht compare with its previous weight? *SOURCE:
*SOLUTION:
NO EXISTING PDF, The problem from a HARD COPY BOOK PA XEROX NIYO NA LANG.
3. (Physics) During Baseball practice, a batter hits a very high fly ball and then runs in a straight line and then catches it.
Whic h had the g reater di s placement, the player or the ball? A) B) C) D)
The batter and the ball has the same displacement. The batter has greater displacement than the ball. The ball has a greater displacement than the batter. The ball and the batter have the same distance travelled.
*SOURCE: GO TO FOLDER GO TO SUBFOLDER
4. PHYSICS 1. PHYSICS PART 1 FILE NUMBER 6 PAGE 67 OF THE BOOK,
(make sure you eBooks are updated-2018)
SOLUTION:
4. ( T raffic Engineering) The purpose of installing edge lines is generally is based on the following except: I. II. III. IV.
*SOURCE: GO TO FOLDER
To Discourage travel on road shoulders To make driving safer and more assured, particularly at night and during inclement weather by a continuous guide for the driver. To act as a guide past objects which are close to the edge of the pavement and which constitute a hazard To prevent parking at or near intersections
37. DPWH MANUALS FILE NUMBER 5 PAGE 135 OF 364 OF PDF
(make sure you eBooks are updated-2018)
*SOLUTION:
5. (Algebra) Strontium-90 is a waste product from nuclear reactors. As a consequence of fallout from atmospheric nuclear tests, we all have measurable amount of strontium-90 in our bones. The half life of strontium-90 is 28 years, meaning that after 28 years a given amount of substance will have decayed to half the original amount. Suppose that a nuclear accident occurs and releases 60 grams of Strontium-90 into the atmosphere,
How long will it take for s trontium-90 to decay to a level of 10 g rams ? *SOURCE: GO TO FOLDER GO TO SUB FOLDER GO TO SUB FOLDER
2. ENGINEERING MATHEMATICS I 2. ALGEBRA 2. ALGEBRA FOR BEGINNERS FILE NUMBER 26 PAGE 734 OF THE BOOK (make sure you eBooks are updated-2018)
6. (Algebra) The Galapagos Islands, lying 600 miles west of the equador, are famed for their extraordinary wildlife.
The function f(A )=28.5 √ models the number of plant species, f(A), on the various islands of the Galapagos chain in terms of the area, A, in square miles of a particular island.
How many s pecies of plants are on G alapagos is land that has an area of 8 s quare miles ? *SOURCE: GO TO FOLDER 2. ENGINEERING MATHEMATICS I GO TO SUB FOLDER 2. ALGEBRA GO TO SUB FOLDER 2. ALGEBRA FOR BEGINNERS FILE NUMBER 22 PAGE 712 OF THE BOOK
(make sure you eBooks are updated-2018)
*SOLUTION
7. (Algebra) As a result of Chernobyl nuclear accident, radioactive debris was carried through the atmosphere. One immediate concern was the impact that the debris had on the milk supply. The percent y of the radioactive material in raw milk after t days is estimated by y=100(2.7) -0.1t .
E s timate the expected percent of radioactive material in the milk after 30 days .
*SOURCE: GO TO FOLDER 2. ENGINEERING MATHEMATICS I GO TO SUB FOLDER 2. ALGEBRA GO TO SUB FOLDER 2. ALGEBRA FOR BEGINNERS FILE NUMBER 20 PAGE 557 OF THE BOOK
*SOLUTION:
8. (Algebra) Given that the half-life of T of radium is 1690 years.
How much will the remain of one g ram of radium after 1000 years ? *SOURCE: GO TO FOLDER 3. ENGINEERING MATHEMATICS II GO TO SUB FOLDER 1. DIFFERENTIAL AND INTEGRAL CALCULUS GO TO SUB FOLDER 2. CALCULUS FOR BEGINNERS FILE NUMBER 11 PAGE 231 OF THE BOOK
*SOLUTION:
9. (Algebra) The maximum weight that a rectangular beam can support varies jointly as its width and the square of the height and inversely as its length. If a beam ½ foot wide, 1/3 foot high and 10 feet long can support 12 tons,
Find how much a s imilar beam can support if the beam is 2/3 foot wide ½ foot hig h and 16 feet long .
*SOURCE: GO TO FOLDER 2. ENGINEERING MATHEMATICS I GO TO SUB FOLDER 2. ALGEBRA GO TO SUB FOLDER 2. ALGEBRA FOR BEGINNERS FILE NUMBER 20 PAGE 398 OF THE BOOK
10. (Algebra) Acme car rental agency charges $4 a day plus $0.15 per mile, whereas Interstate rental agency charges $20 a day and $0.05 per mile.
How many miles must be driven to make the daily cos t of an A cme rental a better deal than an Inters tate rental? *SOURCE: GO TO FOLDER 2. ENGINEERING MATHEMATICS I GO TO SUB FOLDER 2. ALGEBRA GO TO SUB FOLDER 2. ALGEBRA FOR BEGINNERS FILE NUMBER 26 PAGE 260 OF THE BOOK
*SOLUTION:
11. (Algebra) The intensity of the radiation passing through a lead shield is reduced to 3% of the original intensity if the value of k is 2.1. Use the formula ln I/I0 = -kx
Find its depth. *SOURCE: GO TO FOLDER 2. ENGINEERING MATHEMATICS I GO TO SUB FOLDER 2. ALGEBRA GO TO SUB FOLDER 2. ALGEBRA FOR BEGINNERS FILE NUMBER 20 PAGE 597 OF THE BOOK
*ANSWER:
12. (Algebra) A local computer store is having a sale. After 30% price reduction, You purchase a new computer for $980. What was the computer’s price before reduction?
*SOURCE AND SOLUTION: GO TO FOLDER 2 . ENGINEERING MATHEMATICS I < SUB FOLDER 2. ALGEBRA
13. (A lgebra) Rolls of carpet are stacked in 20 rows with 3 rolls in the top row, 4 rolls in the next row, and so on, forming an arithmetic sequence.
Find the number of capital rolls if there are 22 rolls in the bottom row.
*SOURCE: GO TO FOLDER
*SOLUTION:
2 . ENGINEERING MATHEMATICS I < SUB FOLDER 2. ALGEBRA
14. (Trigonometry) New York and Los Angeles are 2450 mi. apart. The radius of the earth is 3960 miles
Find the ang le that the arc between thes e two cities s ubtends at the center of the earth. *SOURCE: GO TO FOLDER < SUB FOLDER
*SOLUTION:
2 . ENGINEERING MATHEMATICS I 4. ALGEBRA AND TRIGONOMETRY FILE NUMBER 1, PAGE 493 OF BOOK
15. (E ngineering E conomy) An engineer is thinking of starting a part-time consulting business next September 5, on his 40th birthday.
He expects the business will require an initial cash outlay of $5000, to come from his savings, and will cost $500 per year to operate; the business ought to generate $2000 per year in cash receipts. During the 20 years that he expects to operate the business, he plans to deposit the annual net proceeds in a bank each year, at an interest rate of 8% per year, compounded annually. When he retires, on his 60th birthday, the engineer expects to invest whatever proceeds plus interest he then has from the business in a long-term savings plan that pays 10% per year, compounded annually.
What is the maximum amount he could withdraw from the s aving s Plan each year during his retirement and s till have the funds las t 15 years ?
*SOURCE AND SOLUTION:: GO TO FOLDER < SUB FOLDER
3 . ENGINEERING MATHEMATICS II 5. ENGINEERING ECONOMY FILE NUMBER 9, PAGE 62 OF BOOK
******to be updated by ebooks ce chua
if you’re resourceful enough to look for it, The problems are from foreign books or message chua ebooks. Goodluck!