Problems
A compound curve has the following characteristics:
| I1 = 24° | D1 = 6° |
| I2 = 36° | D2 = 4° |
| Stationing of P.C. = km 10 + 420 | |
Compute the stationing of P.C.C.
| A. km 10 + 560 | C. km 10 + 520 |
| B. km 10 + 540 | D. km 10 + 500 |
November 2016
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Problem
The sum of the first n terms of a series is 3^(2n - 1) + b. What is the quotient of the 9th and the 7th term?
| A. 81 | C. 83 |
| B. 82 | D. 84 |
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Problem
Compute the value of b if A and B are orthogonal.
$${\bf A} = 2{\bf i} + b{\bf j} + {\bf k}$$
$${\bf B} = 4{\bf i} - 2{\bf j} - 2{\bf k}$$
| A. 6 | C. 4 |
| B. 5 | D. 3 |
Problem
A job posted at jobstreet.com offered a starting salary of \$40,000 per year and guaranteeing a raise of \$1600 per year for the rest of 5 years. Write the general term for the arithmetic sequence that models potential annual salaries.
B. an = 33,400 + 2600n
C. an = 36,400 + 1400n
D. an = 34,400 +1800n
Problem
Samuel Pepys wrote Isaac Newton to ask which of three events is more likely: that a person get (a) at least 1 six when 6 dice are rolled (b) at least two sixes when 12 dice are rolled, or (c) at least 3 sixes when 18 dice are rolled. What is the answer?
B. (b) is more likely than (a) and (c)
C. (c) is more likely than (a) and (b)
D. (a), (b), and (c) are equally likely
Problem
Three marksman simultaneously shoot and hit a rapidly spinning spherical target. What is the probability that the three points of impact lie on the same hemisphere?
| A. 0 | C. 1 |
| B. 1/2 | D. 2/3 |