The following is taken from the ASEE (American Society for
Engineering Education) website: http://www.asee.org/precollege/. 

Quiz #1: Do you Fit the Profile? 

"The seeds of great discovery are constantly floating around
us, but they only take root in minds well prepared to receive them." 

Quiz #1: Do You Fit the Profile? Would an engineering career fit your interests and lifestyle? Answer these questions and find out.
Answers:


The National Engineering Aptitude Search (NEAS) helps you assess your ability to study engineering. Here's a sampling: Mathematical Understanding: 1. If (x + a)(x + b) = x^{2} + 5x + 6 for all x, then what is the value of ab?
2. Three identical cubes with edges 2 inches long are placed one on top of the other. What is the volume, in cubic inches, of the resulting rectangular solid?
3. A 45inch piece of ribbon was cut into 3 pieces. The second piece was 3 times as long as the first, and the third piece was 2 times as long as the second. How long, in inches, was the third piece?
Practical Understanding: 4. Which rear wheel will turn faster when the tricycle is steered in the direction indicated by the arrow?
5. In which circuit will the bulb burn brighter?
6. What does the phase diagram of carbon dioxide shown here reveal about carbon dioxide?
Answers: 

1. d  (x + a) (x + b) = x^{2} + ax + bx +AB = x^{2} + (a + b)x + ab = x^{2} + 5x + 6. Therefore, ab = 6. 
2. b  The volume of a cube is s^{3} where s is one edge of the cube. So, each of the three cubes has a volume of 8, and the total volume is 24. 
3. b  Let x = the first piece of ribbon. The second piece of ribbon has a measure of 3x. The third piece of ribbon is 2(3x) or 6x. The sum of the three pieces is 45, so x + 3x + 6x = 45 and x = 4.5. Therefore, the length of the third piece is 6(4.5) = 27. 
4. b  As the tricycle turns in the direction indicated by the arrow, Wheel II must travel a greater distance than Wheel I in the same amount of time. It must, therefore, turn faster. 
5. a 
In example I, the voltage across the bulb is doubled because the batteries are connected in series. In example II, the voltage is that of a single battery because they are connected in parallel. Because the voltage is doubled in example I, the light will burn brighter. 
6. b  A horizontal line that passes through the one atmosphere mark on the vertical axis will not pass through the liquid area of the diagram. Therefore, carbon dioxide cannot exist as a liquid at atmospheric pressure. 
"Engineering
is the practice of safe and economic application of the scientific laws governing the forces and materials of nature by means of organization, design and construction, for the general benefit of mankind."
 S. E. Lindsay 
© 20032009, Dominic J. Dal Bello Top 