WITH QUESTION AND SOLUTION
,TABLE OF CONTENTS
ESAS PRE-BOARD EXAM JULY 2018........................................................................... 2
ESAS PRE-BOARD EXAM MARCH 2018 .................................................................... 17
ESAS PRE-BOARD EXAM AUGUST 2017 .................................................................. 33
ESAS PRE-BOARD EXAM MARCH 2017 .................................................................... 49
ESAS PRE-BOARD EXAM AUGUST 2016 .................................................................. 62
ESAS PRE-BOARD EXAM MARCH 2016 .................................................................... 81
ESAS PRE-BOARD EXAM AUGUST 2015 .................................................................. 95
ESAS PRE-BOARD EXAM MARCH 2015 .................................................................. 115
ESAS PRE-BOARD EXAM AUGUST 2014 ................................................................ 132
ESAS PRE-BOARD EXAM MARCH 2014 .................................................................. 146
ESAS PRE-BOARD EXAM AUGUST 2013 ................................................................ 167
ESAS PRE-BOARD EXAM MARCH 2013 .................................................................. 190
ESAS PRE-BOARD EXAM AUGUST 2012 ................................................................ 213
,REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM JULY 2018
1. Mr. Juan dela Cruz drives 120 km at 100km/h and 120 km at 90 km/h. What is the
average speed of Mr. dela Cruz on this trip in km/h?
A. 93.5 B. 94.7 C. 85.8 D. 82.3
Solution:
120 + 120
𝐴𝑣𝑒. 𝑠𝑝𝑒𝑒𝑑 = 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒⁄𝑡𝑖𝑚𝑒 =
120 120 = 𝟗𝟒. 𝟕
100 + 90
2. In a spreadsheet (EXCEL), the number in cell A2 is set to 2. Then cell B2 is set to
A2 x 4 / $A$2, where $ indicates the absolute cell address. This formula is copied
into cells C2 and D2. What is the value shown in cell D2?
A. 8 B. 2 C. 4 D. 16
Solution:
A2 x 4 / $A$2 B2 x 4 / $A$2 C2 x 4 / $A$2
4∗2 = 4 4∗2 = 8 8 ∗ 2 = 𝟏𝟔
3. What is the MOST nearly effective annual interest rate on a loan if the nominal
interest rate is 9% per year compounded quarterly?
A. 9.52% B. 9.84% C. 9.68% D. 9.31%
Solution:
𝑟 0.09
𝐸𝑅𝐼 = (1 + )𝑚 – 1 = (1 + )4 – 1 = 0.0931 𝑥 100% = 𝟗. 𝟑𝟏%
4. Find the amount of P30,000 at 6% simple interest after 5 years.
A. P39,000 B. P40,000 C. P41,000 D. P42,000
Solution:
𝐹 = 𝑃 ( 1 + 𝑖𝑛) = 30,000 (1 + 0.06𝑥5) = 𝑷𝟑𝟗, 𝟎𝟎𝟎
5. A bar of uniform cross section is subject to a uniaxial tension and develops a strain
in the direction of the force 1/800. Calculate the change of volume per unit volume.
Assume µ= 1/3.
A. 1/2400 (inc) B. 1/2400 (dec) C. 1/1200 (inc) D. 1/1200 (dec)
2
, REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
∆𝑣
= ∈ 𝑎𝑥𝑖𝑎𝑙 (1 − 2𝜇)
𝑣
∆𝑣 1 1 𝟏
= (1 − 2 ∗ = (𝒊𝒏𝒄)
𝑣 1800 3 𝟐𝟒𝟎𝟎
6. A bank is advertising 9.5 percent account that yield 9.84 percent annually. Find how
often interest is compounded.
A. Monthly B. Bimonthly C. Quarterly D. Annually
7. Defects seen by optical or electron microscope.
A. alteration B. aberration C. atomization D. deformation
8. NGCP warns ___________ alert if tropical disturbance is expected to make a
landfall within 24hrs.
A. yellow B. blue C. red D. weather disturbance
9. What is work-in process classified as
A. an asset B. a liability C. an expense D. owner’s equity
10. It state that if two bodies are in thermal equilibrium with a third body, they are also in
thermal equilibrium with each other.
A. first law of thermodynamics C. third law of thermodynamics
B. zeroth law of thermodynamics D. second law of thermodynamics
11. The circuit conductors between the final overcurrent device protecting the circuit and
the outlet(s).
A. Feeder C. Branch Circuit
B. Service lateral D. Service conductor
12. The term “thermodynamics” comes from the Greek words “Therme” and “Dynamis”
which means
A. heat, power C. heat, transfer
B. heat, motion D. heat, energy
3
,TABLE OF CONTENTS
ESAS PRE-BOARD EXAM JULY 2018........................................................................... 2
ESAS PRE-BOARD EXAM MARCH 2018 .................................................................... 17
ESAS PRE-BOARD EXAM AUGUST 2017 .................................................................. 33
ESAS PRE-BOARD EXAM MARCH 2017 .................................................................... 49
ESAS PRE-BOARD EXAM AUGUST 2016 .................................................................. 62
ESAS PRE-BOARD EXAM MARCH 2016 .................................................................... 81
ESAS PRE-BOARD EXAM AUGUST 2015 .................................................................. 95
ESAS PRE-BOARD EXAM MARCH 2015 .................................................................. 115
ESAS PRE-BOARD EXAM AUGUST 2014 ................................................................ 132
ESAS PRE-BOARD EXAM MARCH 2014 .................................................................. 146
ESAS PRE-BOARD EXAM AUGUST 2013 ................................................................ 167
ESAS PRE-BOARD EXAM MARCH 2013 .................................................................. 190
ESAS PRE-BOARD EXAM AUGUST 2012 ................................................................ 213
,REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
ESAS PRE-BOARD EXAM JULY 2018
1. Mr. Juan dela Cruz drives 120 km at 100km/h and 120 km at 90 km/h. What is the
average speed of Mr. dela Cruz on this trip in km/h?
A. 93.5 B. 94.7 C. 85.8 D. 82.3
Solution:
120 + 120
𝐴𝑣𝑒. 𝑠𝑝𝑒𝑒𝑑 = 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒⁄𝑡𝑖𝑚𝑒 =
120 120 = 𝟗𝟒. 𝟕
100 + 90
2. In a spreadsheet (EXCEL), the number in cell A2 is set to 2. Then cell B2 is set to
A2 x 4 / $A$2, where $ indicates the absolute cell address. This formula is copied
into cells C2 and D2. What is the value shown in cell D2?
A. 8 B. 2 C. 4 D. 16
Solution:
A2 x 4 / $A$2 B2 x 4 / $A$2 C2 x 4 / $A$2
4∗2 = 4 4∗2 = 8 8 ∗ 2 = 𝟏𝟔
3. What is the MOST nearly effective annual interest rate on a loan if the nominal
interest rate is 9% per year compounded quarterly?
A. 9.52% B. 9.84% C. 9.68% D. 9.31%
Solution:
𝑟 0.09
𝐸𝑅𝐼 = (1 + )𝑚 – 1 = (1 + )4 – 1 = 0.0931 𝑥 100% = 𝟗. 𝟑𝟏%
4. Find the amount of P30,000 at 6% simple interest after 5 years.
A. P39,000 B. P40,000 C. P41,000 D. P42,000
Solution:
𝐹 = 𝑃 ( 1 + 𝑖𝑛) = 30,000 (1 + 0.06𝑥5) = 𝑷𝟑𝟗, 𝟎𝟎𝟎
5. A bar of uniform cross section is subject to a uniaxial tension and develops a strain
in the direction of the force 1/800. Calculate the change of volume per unit volume.
Assume µ= 1/3.
A. 1/2400 (inc) B. 1/2400 (dec) C. 1/1200 (inc) D. 1/1200 (dec)
2
, REGISTERED ELECTRICAL ENGINEERS PRE-BOARD EXAMINATION
JULY 2018
ENGINEERING SCIENCES AND ALLIED SUBJECTS
Solution:
∆𝑣
= ∈ 𝑎𝑥𝑖𝑎𝑙 (1 − 2𝜇)
𝑣
∆𝑣 1 1 𝟏
= (1 − 2 ∗ = (𝒊𝒏𝒄)
𝑣 1800 3 𝟐𝟒𝟎𝟎
6. A bank is advertising 9.5 percent account that yield 9.84 percent annually. Find how
often interest is compounded.
A. Monthly B. Bimonthly C. Quarterly D. Annually
7. Defects seen by optical or electron microscope.
A. alteration B. aberration C. atomization D. deformation
8. NGCP warns ___________ alert if tropical disturbance is expected to make a
landfall within 24hrs.
A. yellow B. blue C. red D. weather disturbance
9. What is work-in process classified as
A. an asset B. a liability C. an expense D. owner’s equity
10. It state that if two bodies are in thermal equilibrium with a third body, they are also in
thermal equilibrium with each other.
A. first law of thermodynamics C. third law of thermodynamics
B. zeroth law of thermodynamics D. second law of thermodynamics
11. The circuit conductors between the final overcurrent device protecting the circuit and
the outlet(s).
A. Feeder C. Branch Circuit
B. Service lateral D. Service conductor
12. The term “thermodynamics” comes from the Greek words “Therme” and “Dynamis”
which means
A. heat, power C. heat, transfer
B. heat, motion D. heat, energy
3
