EF 402 – Test One
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4) What are the roots of the equation
x 3 − 8x − 3 = 0 ?
1) A cubical container that measure 2 m on a side is
tightly packed with eight balls and is filled with
water. All eight balls are in contact with the walls
of the container and the adjacent balls. All of the
balls are the same size. What is the volume of
water in the container.
(A) 0.38 m3
(A)
(B)
(C)
(D)
(B) 2.5 m3 (C) 3.8 m3 (D) 4.2 m3
5.) A transit set up 40 m from the base of the
vertical chimney reads 32º30’ with the crosshairs
set on the top of the chimney. With the telescope
level, the vertical rod at the base of the chimney is
2.1 m. Approximately how tall is the chimney?
2) What is the rank of the matrix A?
⎡1
⎢3
A= ⎢
⎢0
⎢
⎣2
(A) 0
(B) 1
1 0
1 ⎤
1 1 − 1 ⎥⎥
1 −1 1 ⎥
⎥
0 1 − 2⎦
(C) 2
x = -7.90, -3, -0.38
x = -3, -2, 2
x = -3, -0.38, 2
x = -2.62, -0.38, 3
(D) 3
3) At approximately what time between the hours
of 12:00 noon and 1:00 pm would the angle
between the hour hand and the minute hand of a
continuously driven clock be exactly 180°?
(A) 15 m (B) 26 m (C) 38 m (D) 28 m
6.) Given
dy1
2⎛ 5
3 3 ⎞
= ⎜1 + x − − k ⎟
dx 13 ⎝ 2
2 4 ⎠
(A) 12:28 pm
(C) 12:33 pm
What is the value of k such that y1 is perpendicular
to the curve y2 = 2x at x = 1?
(B) 12:30 pm
(D) 12:37 pm
(A) 7
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(B) 3
(C) 6
(D) 2
EF 402 – Test One
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12.) The critical point for a mixture occurs for
which of the following cases?
7.) A curve passes through the point (1,1).
Determine the absolute value of the slope of the
curve at x = 25 if the differential equation of the
curve is the exact equation y2dx + 2xydy = 0.
(A) 1/250 (B) 1/125
(A)
(B)
(C)
(D)
(C) 1/50 5 (D) 1/ 125
13.) What is most nearly the standard heat of
8.) A spherical balloon is filled with air at a rate of
1 m3/s. Compute the time rate of change of the
surface area of the balloon at the instant the
balloon’s volume is 113.1 m3.
(A) 0.67 m2/s
(C) 3.1 m2/s
The vapor and liquid exist in a single form.
The liquid has no absorbed gas.
The vapor phase is stable.
The liquid is completely vaporized.
∧
reaction, Δ H °, per mole of C6H6 for the following
reaction?
C6H6(g) → 3C2H2(g)
(B) 1.7 m2/s
(D) 3.7 m2/s
The enthalpy of reaction for C2H2 if 226757 J/gmol;
for C6H6, it is 82923 J/gmol.
(A) -650 kJ
(B) -600 kJ
(C) 600kJ (D) 650kJ
9.) Simplify the following expression
x 2 − 16
lim
x→4 x − 4
(A) 0
(B) 8
(C) 12
14.) SO3 has a structural formula represented as a
resonance hybrid.
(D) 16
10.) The mole is a basic unit of measurement in
chemistry. Which of the following is NOT equal to
or the same as 1 mol of the substance indicated?
(A)
(B)
(C)
(D)
Which of the following is a true statement about the
meaning of such a structure?
22.4 L of nitrogen (N2) gas at STP
6.02 x 1023 oxygen (O2) molecules
12 g of carbon atoms
16 g of oxygen (O2) molecules
(A) One-third of the SO3 molecules exists as each
of the three structures shown.
(B) The true structure is a combination of the three
with each S - - O bond identical to the other.
11.) On a hot day, the temperature rises from 13°C
in early morning to 37°C in the afternoon. What is
the ratio of the concentration (in mol/L) of helium
in a spherical balloon in the afternoon to the
concentration of helium in the balloon in the
morning?
(A) 0.51
(B) 0.69
(C) 0.92
(C) The molecule fluctuates between the three
structures.
(D) The arrows indicate equilibrium where an
actual chemical reaction is taking place.
(D) 1.1
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EF 402 – Test One
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19.) The volatility, β, of a stock is found to be 1.5
times the stock market average. If the risk premium
for buying stocks averages 8.3% and the present
treasury bill rate (assumed to be risk free) is 7%,
what is most nearly the expected rate of return (ER)
on the stock?
15.) The following kinetic data were collected for a
specific chemical reaction. What is the rate
constant for the reaction?
reaction: A + B →
(A) 12.5%
(A) 0.01 s-1
(C) 0.02 L/mol⋅s
(B) 15.3%
(C) 18.9%
(D) 19.5%
(B) 0.02 s-1
(D) 0.03 L/mol⋅s
20.) In determining the cost involved in fabricating
subassembly B within XYZ Corporation, the
following data have been gathered.
16.) When using net present worth calculations to
compare two projects, which of the following could
invalidate the calculation?
(A)
(B)
(C)
(D)
differences in the magnitudes of the projects
evaluating over different time periods
mutually exclusive projects
nonconventional cash flows
It is decided to subtract the manufacturing of
subassembly B to an outside company. For an order
of 100 units, which one of the following unit price
bids from outside companies in unacceptable to
XYZ Corporation?
17.) A machine is under consideration for purchase.
The cost of the machine is $25000. Each year it
operates, the machine will generate a savings of
$15000. Given an effective annual interest rate of
18%, what is the discounted payback period on the
purchase in the machine?
(A) $3.50/unit
(C) $3.75/unit
(A) 1.67 yr (B) 1.75 yr (C) 2.15 yr (D) 3.17 yr
(B) $3.65/unit
(D) $4.10/unit
21.) The balance sheet of Allied Company is as
follows.
18.) What is “work in progress” classified as?
(A) an asset
(C) an expense
(B) a liability
(D) a revenue
What is most nearly the acid test ratio?
(A) 0.39 (B) 0.59 (C) 0.85 (D) 1.1
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EF 402 – Test One
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24.) The system shown is in equilibrium prior to
the application of the 130 N force at A. After
equilibrium is reestablished, what is most nearly the
displacement at A?
22.) For the system illustrated, determine the value
of h that puts the system in equilibrium.
(A) 0.50 cm (B) 1.0 cm (C) 1.5 cm (D) 2.1 cm
(A) 25 mm (B) 30 mm
23.) A cylindrical tank is at rest as shown. The
tank has a weight of 100 kN. Approximately what
horizontal force should be applied horizontally at
point C to raise the tank?
(C) 37 mm (D) 74 mm
25.) Determine the moment of inertia around the
centroidal axis of the following beam.
(A) 25 kN (B) 58 kN (C) 67 kN (D) 110 kN
(A) 420 cm4
(C) 730 cm4
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(B) 650 cm4
(D) 950 cm4
EF 402 – Test One
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26.) A bicycle moves with a constant deceleration
of -2 m/s2. If the initial velocity of the bike is 4.0
m/s, how far does it travel in 3 s?
29.) A 0.05 kg mass attached to a spring (spring
constant, k = 0.5 N/m) is accelerated to a velocity of
0.4 m/s. What is the total energy for the body in the
following diagram? Neglect the spring mass.
(A) 2.0 m (B) 2.5 m (C) 3.0 m (D) 4.0 m
27.) A stream flows at vs = 4.5 km/h. At what
angle, θ, upstream should a boat traveling at vb = 12
km/h be launched in order to reach the shore
directly opposite the launch point?
(A) 0.0025 J
(C) 0.0065 J
(B) 0.0040 J
(D) 0.0092 J
30.) Two identical balls hit head-on in a perfectly
elastic collision. Given that the initial velocity of
one ball is 0.85 m/s and the initial velocity of the
other is -0.53 m/s, what is the relative velocity of
each ball after collision?
(A)
(B)
(C)
(D)
(A) 22° (B) 24° (C) 26° (D) 28°
28.) A lead hammer weighs 45 N. In one swing of
the hammer, a nail is driven 1.5 cm into a wood
block. The velocity of the hammer’s head at impact
is 4.5 m/s. What is most nearly the average
resistance of the wood block?
(A) 3020 N (B) 3100 N (C) 3920 N (D) 4090 N
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0.85 m/s and -0.53 m/s
1.2 m/s and -0.72 m/s
1.2 m/s and -5.1 m/s
1.8 m/s and -0.98 m/s