Mathematics FE/EIT Exam Style
00:30:00
question 1

Which one of the following is correct?

A (4 + 2i) is a complex number
B is a real number
C 4! is equivalent to (0)(1)(2)(3)(4)
D p is a real rational number

question 2

A marksman can hit a bull's-eye from 100m with three out every four shots. What is the probability that he will hit a bull's-eye with a least one of his next three shots?

A 63/64
B 31/32
C 3/4
D 15/16

question 3

If a, b and c are real numbers, which one of the following is incorrect?

A a + (-a) = 0
B a - b = a + (-b)
C a/b = a(1/b)
D (a < b) if (b - a) is negative

question 4

The second and sixth terms of a geometric progression are 3/10 and 243/160, respectively. What is the first term of this sequence?

A 3/2
B 1/5
C 1/10
D 3/5

question 5

Find the Laplace transform of the equation with the given boundary conditions:

A
B
C
D

question 6

Evaluate the following indefinite integral.

A
B
C
D

question 7

What is the general form of the equation for a lin whose x-intercept is 4 and y-intercept is -6?

A 3x + 2y +12 = 0
B 3x - 2y - 12 = 0
C 2x + 36 + 18 = 0
D 2x - 3y -18 = 0

question 8

Which one of the following statements is incorrect?

A ln(e^2x) = 2x
B ln(5x) = ln(5) + ln(x)
C log(5^2x)= 2x log(5)
D ln(x) = e log(x)

question 9

The radius of a snowball rolling down a hill is increasing at a rate of 20 cm/min. How fast is its volume increasing when its diameter is 1m?

A
B
C
D

question 10

If a, b and c are real numbers, which one of the following is incorrect?

A a( b + c) does not equal (a)(b) + (a)(c)
B (a)(b) equals (b)(a)
C a + ( b + c) equals (a + b) + c
D (a + b) equals (b + a)

question 11

Newton's method is being used to find the roots of the equation below. What is the third approximation of the root if 9.33 is chosen as the first approximation?

A 1
B 2
C 3
D 4

question 12

Evaluate the following limit.

A 1/4
B -3/4
C
D 0

question 13

What is the rectangular form of the following polar equation?

A
B
C
D

question 14

What is the general solution to the following differential equation?

y'' - 8y' + 16y = 0

A
B
C
D

question 15

For the tree vectors A, B, and C, what is the product A•(BXC)?
A = 6i + 8j + 10k
B = i + 2j + 3k
C = 3i + 4j + 5k

A 216
B 64
C 80
D 0

question 16

What is the area of the region bounded by the curve y = sinx and the x-axis on the interval between.

A 1
B 2
C 3
D 4

question 17

For some angle Ø, csc Ø = -8/5. What is cos 2 Ø?

A 5/8
B 3/8
C 1/4
D 7/32

question 18

The final scores of students in a graduate course are distributed normally with a mean of 72 and a standard devation of 10. What is the probability that a student's score will be between 65 and 78?

A 0.6455
B 0.4837
C 0.4196
D 0.5161

question 19

Which one of the following is incorrect?

A 53 is a prime number
B 7/8 is a real number
C is an irrational number
D 0.11111111111.... is an irrational number

question 20

For three matrices A, B, C, which of the following statements is not necessarily true?

A A + (B+C) = C + (A+B)
B A + (B+C) = (A+B) + C
C (B+C)A = AB + AC
D A(B+C) = AB + AC