### ANSWERS to Mathematics Elements and Terminologies-Board Exam Review

Here are the answers to the questions on Mathematics Terminologies posted last August 11, 2010.

1. The _____of a number are numbers that when multiplied with each other gives the value of the number.
C. Factors

2. The _____ of a set of numbers is the smallest whole number factor that is common to all of them.
B. Least Common Multiple

3. In the algebraic expression X-2, what is the minuend?
B. 2

4. What mathematical property is demonstrated by this equation: a (b+c) = ab+ac?
C. Distributive property

5. In ratio and proportion, the first and last terms in a proportion are called _______.
B. Extremes

6. The rectangular coordinate system is also known as
A. Cartesian Coordinate system

7. It is a series of numbers in which each consecutive term differs from the preceding one by a fixed amount
D. Arithmetic progression

8. Which of the following should be used in calculating the volume of the revolution of an area?
A. Pappus Rule
B. Guldinus Rule

9. Which of the following is used in determining the area of an irregular shape?
D. Simpson’s Rule

10. It is a general formula used to find the volume of any prism, pyramid or frustum of a pyramid.
C. Prismoidal Formula

For any question, clarifications, and corrections, please feel free to comment or email me at admin@tupmechanical.com.

### PAST MECHANICAL BOARD EXAM QUESTION: Machine Design Set-1 (solutions and answers)

The following are the solutions and answers to MODIFIED PAST MECHANICAL BOARD EXAM QUESTION: Machine Design Set-1 posted on this blog last Saturday, November 14, 2009. Again, I want to stress out that most of the questions here are modified from its original form for the purpose of improving the question. Past Mechanical Engineering Board Exam Question Number 1 A 4 inches diameter short shaft carrying 2 pulleys close to the bearings transmits how much horsepower if the shaft makes 120 rpm. A.200HP               B. 199 HP C.198 HP               D. 202 HP P = (D3N )/38 -- for mula for short shafts from PSME code P = (4)3(120)/38 P= 202 HP Past Mechanical Engineering Board Exam Question Number 2 An instrument that measures the hardness of the work piece in terms of elasticity. a. Durometer b. Scleroscope c. Mohs's Scale d. Brinell Tester Source: Machinery’s Handbook

### SOLUTION TO MECHANICAL BOARD EXAM PROBLEMS: Power Set-1

Here are the solutions to board problems given at Power Subject Set-1. If you do not understand anything, feel free to write a comment voicing out your concern. I'm still looking for better ways to present my solution. I still don't know how to present equations and mathematical symbols with blogger. Please bear with me. 1. An automobile tire is inflated to 32psig pressure at 50 degree F. After being driven, the temperature rises to 75 degree F. Determine the final gage pressure assuming the volume remains constant. (Electrical Engineering Board Exam Problem) Solution: Since volume is constant, use Charles’ Law on constant volume processes. P1/T1=P2/T2 Note: P and T should be absolute. (32+14.7)/ (50+460) =P2/ (75+460) P2=48.99 psia Converting back to gage pressure, P2g=48.99-14.7 P2g=34.29 psig 2. Four hundred cubic centimeters of gas at a pressure of 740 mmHg absolute and temperature of 18 degree C undergoes a process until the pressure and temperature be

### BOARD EXAM TIP: Which Review Center?

First of all, I would like to apologize for a long time I haven't posted anything but introduction. The reason for that is I'm busy optimizing the design of this site. I'm hoping that the make over is good. Anyway, I would like to dedicate this article to those who are going to take/retake the board exam this coming October. My sincere wish that you bring out the best among yourselves and may the deserving ones pass the exam. Going back to the One-Million-Peso worth question: "Which review center should I enroll?" , I would like to answer that in the most unbiased way I can. Of course, I'm only human and I had also my preferences but I will try my best to hide it. To start with I will enumerate some of the prominent review centers that offer board exam reviews for mechanical engineering in the Philippines. 1. Alcorcon (Cebu & Manila) 2. Excel (Cebu & Manila) 3. Linx Engineering (Manila) 4. MERIT (Manila) 5. PRIME (Cebu) 6. RLB's