MULTIVECTOR Review and Training Center

SAEX 10.A

1.What law provides an absolute reference point for the determination of entropy? *

Zeroth law of thermodynamics Second law of thermodynamics

Third law of thermodynamics  First law of thermodynamics 

2.Find the area inside the cardioid r = 1 + cos θ and outside the circle r = 1. *

2.97 2.58 
2.85 2.79 

3.A driver fills an 18.9 L can with gasoline at 15.0°C right up to the top. He forgets to replace the cap and leave the can in the back
of his truck. The temperature climbs to 30.0°C by 1 PM. How much gasoline spills out of the can? Assume a coefficient of linear
expansion of steel to be 12 x 10⁻⁶ K⁻¹and the coefficient of volumetric expansion of gasoline to be 950 x 10⁻⁶ K⁻¹. *

0.62 L 0.72 L
0.26 L 0.27 L 

4.The electric motor generally used in household food mixer. *

Universal Shaded Pole

Capacitor Start Split Phase 

5.A good example of kinetic energy is provided by: *

a tornado  a wound clock spring

the raised weights of a grandfather’s clock an automobile storage battery

6.Locate the centroid of the triangle ABC having coordinates of A(0, −4), B(2, 6) and C(1, 4). *
1, −2 2, 1
1, 2  2, −1

7..Evaluate Laplace transform of t cos kt. *

(−s² + k²)/(s² + k²)² (s² – k²)/(s² + k²)²
k²/(s² + k²)² s²/(s² + k²)²

8.In a transformer, the resistance between the primary and secondary must be *

zero  1 kΩ
100 kΩ Infinite 

9.You own 20 CDs. You want to randomly arrange 8 of them in a CD rack. What is the probability that the rack ends up in
alphabetical order? *

1/25030 1/110400
1/40320 1/125970
  

10.An inductance of 2 henrys and a resistance of R = 2/(t + 20) ohms are connected in series with an emf of E volts. If I = 0 when t =
0, determine E so that I = 100 amperes when t = 4 seconds. *

54.5 volts 55.4 volts 

46.8 volts 48.6 volts 

11.The law that induces emf and current always opposes the cause producing them was discovered by *

Ohm Lenz 
Faraday Maxwell

 
12.The number 1000 base 2 is equivalent to decimal number _____. *

1000 16
4 8
 
13.Find the equation of the line that is tangent to the ellipse x² + 3y² – x + 2y = 0 at the origin. *

x–y=0 2x – y = 0
x+y=0  x – 2y = 0
 

PREPARED BY: HAROLD L. BALMES

 MULTIVECTOR Review and Training Center
14.The valve between a 9 L tank containing gas at 5 atm and a 6 L tank containing gas at 10 atm is opened. What is the equilibrium
pressure obtained in the two tanks at constant temperature? Assume ideal gas behaviour. *

8 atm 7 atm
5 atm 6 atm

 
15.An 8-pole, 50 Hz single phase induction motor running at 690 rpm. Its slip with respect to backward field is  *

1 –0.08 
1.92 0.0 

16.If the sides of the triangle are 2x + 3, x² + 3x + 3 and x² + 2x, find the greatest angle.  *

120 deg  110 deg

130 deg 100 deg

17.The coefficient of x² in the Maclaurin series for eˢᶦⁿ ˣ is *

0 −1
1/2  1

18.The base radius of a right circular cone is 4 m while its slant height is 10 m. What is the lateral area?  *
197.5 sq. m. 125.7 sq. m.
157.2 sq. m. 175.9 sq. m.

19.Find the frequency of a radio wave whose wavelength is 600 m. *

500 kHz  500 Hz
150 kHz 150 Hz

 20.RA 9136 is ____________________. *

Electric Power Installation Reform Act Energy Power Isolation Reform Act
Electric Power Industry Reform Act  Energy Power Institution Reliability Act

21.The average value of the function i = 50 sin ωt + 30 sin 3ωt is equal to __________. *
31.8 A 38.2 A
51 A 40 A 

22.How many moles are there in 21.58 g of Chloroform (CHCl₃)? *

5.5352 0.1608
5.5253 0.1806

23.A solenoid is 20 cm long and is wound with 500 turns of wire. What current will be required to set up a field strength of 3000
AT/m inside the solenoid? *

1.6 A 1.2 A
1.8 A 1.4 A

 
24.Assume that the drawer contains 15 coins: 4 quarters, 6 dimes, and 5 nickels. One coin is randomly selected. What is the
expected value of the coin selected (in cents)? *

2.67 1.85
15 12.33
 
25.A bank charges 6% simple interest on a P 25,000 loan. How much will be repaid if the loan is paid back in one lump sum after
five years? *

P 30,875 P 32,750
P 32,500  P 31,250

 
26.A 240 V dc series motor develops a shaft torque of 200 N-m at 92% efficiency while running at 600 rpm. Calculate the motor
current. *

62.09 A 48.17 A
56.91 A  52.36 A

 
27.A 4 pole, 50 Hz, 3ϕ, Δ-connected alternator has a single-layer stator winding carried in 36 slots, each slot containing 12
conductors. The flux per pole is 42 mWb. Calculate the emf between the terminals. *

PREPARED BY: HAROLD L. BALMES

 MULTIVECTOR Review and Training Center
1290 V 645 V
322.5 V 739 V
 

 
28.Which of the following does not threaten the operation of a computer *

Worm Trojan horse

Firewall Hacking
 
29.Which of the following statements is not correct? *

One dollar compounded quarterly at 3% for n years has a worth of (1.03) ⁴ⁿ dollars.
Compounding quarterly at a nominal rate of 12% per year is equivalent to compounding annually at a rate of 12.55%.
Effective rate of return in all the other choices is the difference between 12.55% and 12%.
A nominal rate of 12% per annum compounded quarterly is the same as (12%) ÷ 4 = 3% per quarter.  

30.Atoms or ions which have the same electronic configuration? *

iso-ionic isometric
isotope  isoelectronic

31.While describing the sheath of a cable, the abbreviation XLPE means _______________ polyehtylene.  *
external-layer cross-layer
cross-linked extra-long

 
32.The coefficient of static friction for steel on ice is 0.1. The force needed to set a 70-kg skater in motion is about  *

0.7 N 70 N
7 N  0.1 N

33.A 3-μF capacitor is initially 50% charged. What will be the maximum possible energy stored if connected across a 240 volt
source? *

86.4 mJ 172.8 mJ
43.2 mJ  1,122.2 mJ 

34.Find the force on one face of a right triangle of sides 4 m and altitude of 3 m. The altitude is submerged vertically with the 4 m
side in the surface. *

58.86 kN 53.22 kN
66.67 kN 62.64 kN

 
35.The passing general weighted average rating for the licensure examination for Registered Electrical Engineers must be 70% with
NO GRADE below _____ in any subjects in Mathematics, ESAS, and Electrical Engineering as required under Section 19(b) of RA
7920. *

65% 55%
60% 50%
36.Calculate the capacitance between two parallel plates each of which is 100 mm² and 2 mm apart in air.  *

0.452 pF 0.443 pF 

0.515 pF 0.502 pF

 
37.Find the domain of the following function: f(x) = 3x, −6 ≤ x ≤ 8. *

(−6, 8) (−18, 24)

[−18, 24]  [−6, 8]

38.The current from neutral to ground connection is 12 A. What is the zero sequence component in phases?  *

36 A  12 A
3A 4 A 

39.Find the volume of the solid of revolution obtained by revolving the region bounded by y = x – x² and the x-axis about the x-axis.  *

0.105  0.180
0.150 0.108
PREPARED BY: HAROLD L. BALMES
 MULTIVECTOR Review and Training Center
 
40.What device is used to measure the temperature of a motor winding while the motor is in operation?  *

Seismic probe Proximity probe

Resistance temperature detector  Thermocouples

 
41.The property that characterizes a material’s ability to be drawn into a wire is its *

Malleability Rigidity
Flexibility Ductility

42.Find the 7th term of 0.5, 0.2, 0.125, … *

0.025 0.050 
0.100 0.010 

43.Let l be the line that is the intersection of the planes x + y + z = 3 and x – y + z = 5. An equation of the plane that contains (0, 0,
0) and is perpendicular to l is *

x+y+z=0 x–y–z=0
x+z=0 x–z=0
 

44.Branch circuit larger than _____ amperes shall only supply nonlighting load. *

15 30
50  20

45.Three 3-ohm resistors are connected in parallel. This combination is then placed in series with another 3-ohm resistor. What is
the equivalent resistance in ohm? *

12 6
4  9

 
46.The maximum bending moment in a simple supported beam of span L and carrying a concentrated load “W” is  *

WL WL/2
WL/4  2WL

47.What is the IEEE device function number 50? *

AC time overcurrent relay AC circuit breaker

Differential protective relay Instantaneous overcurrent relay

48.A room 8 m x 12 m is lighted by 15 lamps to fairly uniform illumination of 100 lumens per sq. meter. What is the coefficient of
utilization if the output of each lamp is 1,600 lumens. *

40%  60%
30% 50%

49. A 3ϕ transmission line has two aluminum conductors in bundle. The self GMD of each conductor is 8.90 mm and the distance
between the conductors and phases is 40 cm and 9 m, respectively. What is the inductance of the line per phase?  *
1 μH/m 2 μH/m
4 μH/m 3 μH/m

 
50.At very low frequencies a series RC circuit behaves as almost purely *

capacitive
resistive
inductive
none of these

PREPARED BY: HAROLD L. BALMES