Principles and Practice of Engineering (PE) Exam
(Verified Answers) Plus Rationales 2025/2026 Q&A |
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1. Civil Engineering – Structural
A simply supported beam has a span of 6 m and carries a uniform load of 10
kN/m. What is the maximum bending moment?
A) 90 kN·m
B) 180 kN·m
C) 90 kN·m
D) 60 kN·m
Maximum bending moment for a simply supported beam with uniform load:
M_max = wL²/8 = 10 × 6² / 8 = 45 kN·m. Wait—let’s recalc: 6²=36, 3610=360,
360/8=45 kN·m.* Corrected: 45 kN·m
2. Mechanical Engineering – Thermodynamics
Which process occurs at constant pressure?
A) Isochoric
B) Isobaric
C) Isothermal
D) Adiabatic
An isobaric process occurs at constant pressure. Heat transfer in the system
changes the internal energy and does work on the surroundings.
3. Electrical Engineering – Circuits
In a series circuit with resistances 5 Ω, 10 Ω, and 15 Ω, and a 60 V source, what
is the current?
A) 1 A
B) 2 A
C) 3 A
D) 2 A
Total resistance R = 5 + 10 + 15 = 30 Ω. Current I = V / R = = 2 A.
,4. Civil – Geotechnical
A clay soil has a liquid limit of 50% and a plastic limit of 25%. What is its
plasticity index?
A) 25%
B) 50%
C) 75%
D) 25%
Plasticity Index (PI) = LL – PL = 50 – 25 = 25%.
5. Mechanical – Fluids
Water flows through a pipe of diameter 0.1 m at 2 m/s. What is the volumetric
flow rate?
A) 0.01 m³/s
B) 0.0157 m³/s
C) 0.02 m³/s
D) 0.025 m³/s
Flow rate Q = A × V, A = πd²/4 = π(0.1)²/4 ≈ 0.00785 m², Q = 0.00785 × 2 ≈
0.0157 m³/s.
6. Electrical – Power
A 3-phase, 208 V system supplies 10 kW of power with a power factor of 0.8.
What is the line current?
A) 20 A
B) 34.7 A
C) 28 A
D) 40 A
I_line = P / (√3 × V_L × PF) = 10,000 / (1.732 × 208 × 0.8) ≈ 34.7 A.
7. Civil – Transportation
A car travels 120 km in 2 hours. What is the average speed?
A) 50 km/h
B) 60 km/h
C) 65 km/h
, D) 70 km/h
Speed = distance/time = 120/2 = 60 km/h.
8. Mechanical – Strength of Materials
A steel rod with cross-sectional area 200 mm² is subjected to an axial load of
40 kN. What is the stress?
A) 100 MPa
B) 200 MPa
C) 150 MPa
D) 250 MPa
Stress σ = F / A = 40,000 N / 200 ×10⁻⁶ m² = 200 MPa.
9. Electrical – Magnetism
Which of the following materials is ferromagnetic?
A) Aluminum
B) Copper
C) Iron
D) Brass
Ferromagnetic materials like iron have strong magnetic domains that align in
the presence of a magnetic field.
10. Civil – Hydraulics
The velocity of water in a pipe is 3 m/s, and the pipe diameter is 0.2 m. What is
the Reynolds number? (ν = 1 × 10⁻⁶ m²/s)
A) 6 × 10⁴
B) 1.2 × 10⁵
C) 1.2 × 10⁵
D) 6 × 10³
Re = VD/ν = 3 × 0.e-6 = 600,000. Wait careful: 30.2=0.6, 0.6/1e-6=600,000.
Correct: 6 × 10⁵.*
11. Mechanical – Dynamics
(Verified Answers) Plus Rationales 2025/2026 Q&A |
Instant Download Pdf
1. Civil Engineering – Structural
A simply supported beam has a span of 6 m and carries a uniform load of 10
kN/m. What is the maximum bending moment?
A) 90 kN·m
B) 180 kN·m
C) 90 kN·m
D) 60 kN·m
Maximum bending moment for a simply supported beam with uniform load:
M_max = wL²/8 = 10 × 6² / 8 = 45 kN·m. Wait—let’s recalc: 6²=36, 3610=360,
360/8=45 kN·m.* Corrected: 45 kN·m
2. Mechanical Engineering – Thermodynamics
Which process occurs at constant pressure?
A) Isochoric
B) Isobaric
C) Isothermal
D) Adiabatic
An isobaric process occurs at constant pressure. Heat transfer in the system
changes the internal energy and does work on the surroundings.
3. Electrical Engineering – Circuits
In a series circuit with resistances 5 Ω, 10 Ω, and 15 Ω, and a 60 V source, what
is the current?
A) 1 A
B) 2 A
C) 3 A
D) 2 A
Total resistance R = 5 + 10 + 15 = 30 Ω. Current I = V / R = = 2 A.
,4. Civil – Geotechnical
A clay soil has a liquid limit of 50% and a plastic limit of 25%. What is its
plasticity index?
A) 25%
B) 50%
C) 75%
D) 25%
Plasticity Index (PI) = LL – PL = 50 – 25 = 25%.
5. Mechanical – Fluids
Water flows through a pipe of diameter 0.1 m at 2 m/s. What is the volumetric
flow rate?
A) 0.01 m³/s
B) 0.0157 m³/s
C) 0.02 m³/s
D) 0.025 m³/s
Flow rate Q = A × V, A = πd²/4 = π(0.1)²/4 ≈ 0.00785 m², Q = 0.00785 × 2 ≈
0.0157 m³/s.
6. Electrical – Power
A 3-phase, 208 V system supplies 10 kW of power with a power factor of 0.8.
What is the line current?
A) 20 A
B) 34.7 A
C) 28 A
D) 40 A
I_line = P / (√3 × V_L × PF) = 10,000 / (1.732 × 208 × 0.8) ≈ 34.7 A.
7. Civil – Transportation
A car travels 120 km in 2 hours. What is the average speed?
A) 50 km/h
B) 60 km/h
C) 65 km/h
, D) 70 km/h
Speed = distance/time = 120/2 = 60 km/h.
8. Mechanical – Strength of Materials
A steel rod with cross-sectional area 200 mm² is subjected to an axial load of
40 kN. What is the stress?
A) 100 MPa
B) 200 MPa
C) 150 MPa
D) 250 MPa
Stress σ = F / A = 40,000 N / 200 ×10⁻⁶ m² = 200 MPa.
9. Electrical – Magnetism
Which of the following materials is ferromagnetic?
A) Aluminum
B) Copper
C) Iron
D) Brass
Ferromagnetic materials like iron have strong magnetic domains that align in
the presence of a magnetic field.
10. Civil – Hydraulics
The velocity of water in a pipe is 3 m/s, and the pipe diameter is 0.2 m. What is
the Reynolds number? (ν = 1 × 10⁻⁶ m²/s)
A) 6 × 10⁴
B) 1.2 × 10⁵
C) 1.2 × 10⁵
D) 6 × 10³
Re = VD/ν = 3 × 0.e-6 = 600,000. Wait careful: 30.2=0.6, 0.6/1e-6=600,000.
Correct: 6 × 10⁵.*
11. Mechanical – Dynamics
