skit #62: a quantitative aptitude exam

QUANTITATIVE APTITUDE EXAM

NAME:________________
DATE:________________

MECHANICS

1. A cylindrical piston capable of producing 43.6N of thrusting force. It is known skin naturally has a static friction coefficient of 0.60 and kinetic friction coefficient of 0.51.

a. Determine the force with which the cylindrical piston will slide off a buttock. For this exercise, a buttock may be approximated as uniformly spherical surface (x² + y² + z²) given the cylindrical piston is angled 35.0 degrees tangentially to the buttock's perimeter.

b. Human saliva lubricates, reducing static friction by -0.40 and kinetic friction by -0.32. Determine the force a saliva-lubricated cylinder will slide off the same buttock. Latex increases static friction by +0.34 and kinetic friction by +0.22 without the application of saliva. Determine whether a cylindrical piston encounters more friction when in contact with skin or when in contact with a latex-saliva combination.


THERMODYNAMICS

2. You are presented with a custom-made cupric torus (known as a Prince Albert). Copper is known to have a conductivity constant of 59.6 × 10⁶ S/m. Human sperm cells die in temperatures exceeding 37.7C. Human testicles (considered a wet conductive tissue) offer resistance at 1082.2 Ω.

An electric catheter is inserted into a urethra, providing stimulation at 500.0mA. Given coitus will ensue between an older yet virile male and a fertile young female, prove whether or not a prophylactic is superfluous in order to avoid impregnation by the penis in question.


STATISTICAL ANALYSIS & STANDARD DEVIATION

3. A struggling student may only pass a class with a mean grade greater than 0.700. The student's standing is calculated to be 622pts/900pts (0.691). The past four (4) exams indicate a mean grade of 0.653 (std dev 0.093). The Quantitative Aptitude Exam is worth 100pts.

a. A regression model extrapolates her exam performance. The constant a reflects her ability as a student, the constant b reflects her optimism on a given day, and the constant c reflects poor performance due to the distracting animal magnetism of her older yet virile professor.

y = ax⁵ + bx² - x - c

Determine the constants from Appendix A. Calculate y, where x is the number of hours studied.

b. Suppose a lenient professor offers to increase her final exam score in exchange for sexual favors. In this exchange rate, the professor defines 1 pt = 0.412 sordid affairs (SA). He proposes an economy of scale to the student's advantage, defining x as the number of SA and c as in the previous problem (3a).

y = cx²

Given her statistically probable final grade determined in problem 3a, what quantity of SA must commence for said student to receive a C (>0.700)? To receive a B (>0.800)? To receive an A (>0.900)? What is the student's most economic option?


PROPOSITIONAL LOGIC

4. Consider the following values held by a society:

- Citizens may be of any positive age less than 100 years old.
- A citizen reaches adulthood at the age of 18 years.
- Any two citizens who share relatives are related.
- Any citizen may issue their intent to pair with another citizen.
- A societally-acceptable pairing consists of:
--- two mutually-intent unrelated adults.
--- two mutually-intent unrelated non-adults.

Construct a truth table. Determine which pairings may exist in concordance with this society's values:

a. An older yet virile professor and his athletic son
b. An older yet virile professor innocently filming the pairing of his athletic son with a young fertile university student
c. An older yet virile professor and a young fertile university student (a very mature 19 years in age) by means of a private agreement

GRADE:_______ / 100