Fundamentals Of Engineering (FE) Practice
Exam Questions And Correct Answers
(Verified Answers) Plus Rationales 2026
Q&A | Instant Download Pdf
Subjects Covered: Mathematics, Probability & Statistics, Statics, Dynamics,
Materials, Fluid Mechanics, Thermodynamics, Electrical Circuits, Engineering
Economics, Ethics, and General Engineering Principles.
1. The derivative of f(x)=3x3−5x2+4x−7f(x) = 3x^3 - 5x^2 + 4x -
7f(x)=3x3−5x2+4x−7 is:
A) 9x2−10x+49x^2 - 10x + 49x2−10x+4
B) 6x2−10x+46x^2 - 10x + 46x2−10x+4
C) 9x2−10x+49x^2 - 10x + 49x2−10x+4
D) 3x2−5x+43x^2 - 5x + 43x2−5x+4
Rationale: The derivative of ax3+bx2+cx+dax^3 + bx^2 + cx + dax3+bx2+cx+d
is 3ax2+2bx+c3ax^2 + 2bx + c3ax2+2bx+c.
,2. A 10 kN force acts at an angle of 30° above the horizontal. The
horizontal component is:
A) 5 kN
B) 7.5 kN
C) 8.66 kN
D) 10 kN
Rationale: Horizontal component = Fcos(30°)=10(0.866)=8.66 kNF
\cos(30°) = 10(0.866) = 8.66 \, \text{kN}Fcos(30°)=10(0.866)=8.66kN.
3. The moment of inertia of a rectangle (base b, height h) about its
centroidal x-axis is:
A) bh212\frac{bh^2}{12}12bh2
B) bh312\frac{bh^3}{12}12bh3
C) b3h12\frac{b^3h}{12}12b3h
D) bh33\frac{bh^3}{3}3bh3
Rationale: For a rectangle, Ix=112bh3I_x = \frac{1}{12}bh^3Ix=121bh3.
4. A simply supported beam with a central point load PPP has maximum
bending moment:
A) PL4\frac{PL}{4}4PL
B) PL8\frac{PL}{8}8PL
C) PL2\frac{PL}{2}2PL
,D) PL12\frac{PL}{12}12PL
Rationale: For a center load, Mmax=PL/8M_{max} = PL/8Mmax=PL/8.
5. The area under a velocity-time curve represents:
A) Acceleration
B) Displacement
C) Momentum
D) Force
Rationale: Integration of velocity with respect to time gives displacement.
6. The sum of forces in static equilibrium is:
A) Zero in vertical direction
B) Zero in horizontal direction
C) Zero in all directions
D) Equal to the weight
Rationale: Equilibrium requires ΣF = 0 and ΣM = 0 in all directions.
7. Which material property defines the ratio of stress to strain in the
elastic region?
A) Shear Modulus
B) Bulk Modulus
, C) Young’s Modulus
D) Poisson’s Ratio
Rationale: Young’s modulus = σ/ϵ\sigma / \epsilonσ/ϵ.
8. The continuity equation in fluid mechanics ensures:
A) Conservation of energy
B) Conservation of momentum
C) Conservation of mass
D) Conservation of volume
Rationale: Continuity: A1V1=A2V2A_1V_1 = A_2V_2A1V1=A2V2 (mass flow
constant).
9. The Bernoulli equation relates:
A) Force and acceleration
B) Pressure, velocity, and elevation
C) Volume and density
D) Energy and entropy
Rationale: Bernoulli’s principle expresses total energy per unit weight of fluid
as constant.
10. In thermodynamics, the first law represents:
Exam Questions And Correct Answers
(Verified Answers) Plus Rationales 2026
Q&A | Instant Download Pdf
Subjects Covered: Mathematics, Probability & Statistics, Statics, Dynamics,
Materials, Fluid Mechanics, Thermodynamics, Electrical Circuits, Engineering
Economics, Ethics, and General Engineering Principles.
1. The derivative of f(x)=3x3−5x2+4x−7f(x) = 3x^3 - 5x^2 + 4x -
7f(x)=3x3−5x2+4x−7 is:
A) 9x2−10x+49x^2 - 10x + 49x2−10x+4
B) 6x2−10x+46x^2 - 10x + 46x2−10x+4
C) 9x2−10x+49x^2 - 10x + 49x2−10x+4
D) 3x2−5x+43x^2 - 5x + 43x2−5x+4
Rationale: The derivative of ax3+bx2+cx+dax^3 + bx^2 + cx + dax3+bx2+cx+d
is 3ax2+2bx+c3ax^2 + 2bx + c3ax2+2bx+c.
,2. A 10 kN force acts at an angle of 30° above the horizontal. The
horizontal component is:
A) 5 kN
B) 7.5 kN
C) 8.66 kN
D) 10 kN
Rationale: Horizontal component = Fcos(30°)=10(0.866)=8.66 kNF
\cos(30°) = 10(0.866) = 8.66 \, \text{kN}Fcos(30°)=10(0.866)=8.66kN.
3. The moment of inertia of a rectangle (base b, height h) about its
centroidal x-axis is:
A) bh212\frac{bh^2}{12}12bh2
B) bh312\frac{bh^3}{12}12bh3
C) b3h12\frac{b^3h}{12}12b3h
D) bh33\frac{bh^3}{3}3bh3
Rationale: For a rectangle, Ix=112bh3I_x = \frac{1}{12}bh^3Ix=121bh3.
4. A simply supported beam with a central point load PPP has maximum
bending moment:
A) PL4\frac{PL}{4}4PL
B) PL8\frac{PL}{8}8PL
C) PL2\frac{PL}{2}2PL
,D) PL12\frac{PL}{12}12PL
Rationale: For a center load, Mmax=PL/8M_{max} = PL/8Mmax=PL/8.
5. The area under a velocity-time curve represents:
A) Acceleration
B) Displacement
C) Momentum
D) Force
Rationale: Integration of velocity with respect to time gives displacement.
6. The sum of forces in static equilibrium is:
A) Zero in vertical direction
B) Zero in horizontal direction
C) Zero in all directions
D) Equal to the weight
Rationale: Equilibrium requires ΣF = 0 and ΣM = 0 in all directions.
7. Which material property defines the ratio of stress to strain in the
elastic region?
A) Shear Modulus
B) Bulk Modulus
, C) Young’s Modulus
D) Poisson’s Ratio
Rationale: Young’s modulus = σ/ϵ\sigma / \epsilonσ/ϵ.
8. The continuity equation in fluid mechanics ensures:
A) Conservation of energy
B) Conservation of momentum
C) Conservation of mass
D) Conservation of volume
Rationale: Continuity: A1V1=A2V2A_1V_1 = A_2V_2A1V1=A2V2 (mass flow
constant).
9. The Bernoulli equation relates:
A) Force and acceleration
B) Pressure, velocity, and elevation
C) Volume and density
D) Energy and entropy
Rationale: Bernoulli’s principle expresses total energy per unit weight of fluid
as constant.
10. In thermodynamics, the first law represents:
