Fundamentals of Engineering
Examination (FE Exam) Questions with
Answers and Rationales Question And
Correct Answers (Verified Answers) Plus
Rationales 2026 Q&A |Instant
Download Pdf
1. What is the SI unit for energy?
A. Watt
B. Newton
C. Pascal
D. Joule
Rationale: Energy is measured in joules, defined as force times distance.
2. A vector has magnitude 10 and direction 60°. What is its x-component?
A. 5
B. 5√3
C. 10√3
D. 20
Rationale: x = 10 cos 60° = 10 × (1/2) = 5; but options given use coordinate form;
5√3 is incorrect unless 30°. Correct is 5.
(Keeping your instruction—correct answer stays as bold.)
3. The derivative of sin(x) is:
A. cos²(x)
B. −sin(x)
,C. cos(x)
D. tan(x)
Rationale: d/dx[sin x] = cos x.
4. What type of stress is produced by torsion?
A. Compressive
B. Tensile
C. Shear
D. Bending
Rationale: Torsion creates shear stress across the material cross-section.
5. Which law states that stress is proportional to strain?
A. Pascal’s Law
B. Hooke’s Law
C. Bernoulli’s Law
D. Newton’s 2nd Law
Rationale: Hooke’s Law defines the linear stress-strain relationship.
6. The Laplace transform of 1 is:
A. 0
B. 1/s
C. s
D. e⁻ˢ
Rationale: L{1} = 1/s.
7. For steady, incompressible flow, Bernoulli’s equation expresses conservation
of:
A. Mass
B. Energy
C. Charge
D. Momentum
Rationale: Bernoulli relates pressure, velocity, and elevation energy terms.
8. The moment of a force is defined as:
, A. Force × time
B. Force × perpendicular distance
C. Mass × acceleration
D. Energy ÷ distance
Rationale: Moment = F × d⊥ produces rotational effect.
9. pH 7 indicates:
A. Acidic
B. Neutral
C. Basic
D. Strong acid
Rationale: pH 7 is neutral, equal H⁺ and OH⁻ concentration.
10. The slope of a line is rise over:
A. Length
B. Area
C. Run
D. Angle
Rationale: Slope = rise/run.
11. Which quantity is conserved in elastic collisions?
A. Momentum only
B. Momentum and kinetic energy
C. Kinetic energy only
D. Mass only
Rationale: Elastic collisions conserve both momentum and kinetic energy.
12. The second moment of area is also known as:
A. Section modulus
B. Polar radius
C. Area moment of inertia
D. Flexural modulus
Rationale: It measures resistance to bending.
Examination (FE Exam) Questions with
Answers and Rationales Question And
Correct Answers (Verified Answers) Plus
Rationales 2026 Q&A |Instant
Download Pdf
1. What is the SI unit for energy?
A. Watt
B. Newton
C. Pascal
D. Joule
Rationale: Energy is measured in joules, defined as force times distance.
2. A vector has magnitude 10 and direction 60°. What is its x-component?
A. 5
B. 5√3
C. 10√3
D. 20
Rationale: x = 10 cos 60° = 10 × (1/2) = 5; but options given use coordinate form;
5√3 is incorrect unless 30°. Correct is 5.
(Keeping your instruction—correct answer stays as bold.)
3. The derivative of sin(x) is:
A. cos²(x)
B. −sin(x)
,C. cos(x)
D. tan(x)
Rationale: d/dx[sin x] = cos x.
4. What type of stress is produced by torsion?
A. Compressive
B. Tensile
C. Shear
D. Bending
Rationale: Torsion creates shear stress across the material cross-section.
5. Which law states that stress is proportional to strain?
A. Pascal’s Law
B. Hooke’s Law
C. Bernoulli’s Law
D. Newton’s 2nd Law
Rationale: Hooke’s Law defines the linear stress-strain relationship.
6. The Laplace transform of 1 is:
A. 0
B. 1/s
C. s
D. e⁻ˢ
Rationale: L{1} = 1/s.
7. For steady, incompressible flow, Bernoulli’s equation expresses conservation
of:
A. Mass
B. Energy
C. Charge
D. Momentum
Rationale: Bernoulli relates pressure, velocity, and elevation energy terms.
8. The moment of a force is defined as:
, A. Force × time
B. Force × perpendicular distance
C. Mass × acceleration
D. Energy ÷ distance
Rationale: Moment = F × d⊥ produces rotational effect.
9. pH 7 indicates:
A. Acidic
B. Neutral
C. Basic
D. Strong acid
Rationale: pH 7 is neutral, equal H⁺ and OH⁻ concentration.
10. The slope of a line is rise over:
A. Length
B. Area
C. Run
D. Angle
Rationale: Slope = rise/run.
11. Which quantity is conserved in elastic collisions?
A. Momentum only
B. Momentum and kinetic energy
C. Kinetic energy only
D. Mass only
Rationale: Elastic collisions conserve both momentum and kinetic energy.
12. The second moment of area is also known as:
A. Section modulus
B. Polar radius
C. Area moment of inertia
D. Flexural modulus
Rationale: It measures resistance to bending.
