FE MECHANICAL EXAM – FULL MOCK EXAM
Questions Form Real Exams Latest 2026 2027
Update With 100 Questions & 100% Correct
Detailed Answers Graded A+ (Brand New!!)
Content Covered:
Mathematics (Calculus, Differential Equations, Linear Algebra) • Probability &
Statistics • Engineering Economics • Statics • Dynamics • Mechanics of Materials
• Materials Science • Fluid Mechanics • Thermodynamics • Heat Transfer •
Mechanical Design & Analysis • Measurements, Instrumentation & Controls •
Ethics & Professional Practice
Instructions: Multiple-choice questions. Select the best answer. Correct answer
is shown in BOLD. Explanation provided in italics.
1. The derivative of 𝑓(𝑥) = 3𝑥 3 − 5𝑥 2 + 4𝑥is:
A. 9x³ − 10x² + 4
B. 9x² − 10x + 4
C. 6x² − 5x + 4
D. 9x² − 5x + 4
Differentiate term-by-term using the power rule.
2
2. The integral of 2𝑥𝑒 𝑥 𝑑𝑥is:
A. e^{x²}
B. 2e^{x²}
C. e^{x²} + C
D. x²e^{x²}
Use substitution: let u = x².
3. The determinant of a 2×2 matrix [[a, b],[c, d]] is:
A. ad + bc
, B. ac − bd
C. ad − bc
D. ab − cd
Standard determinant formula.
4. Mean of data set: 2, 4, 6, 8 is:
A. 4
B. 6
C. 5
D. 8
Mean = (sum)/n = 20/4.
5. Present worth of $1000 received in 1 year at 5% interest:
A. 1000
B. 952.38
C. 1050
D. 950
PW = 1000/(1.05).
6. A force of 10 N acts at 2 m from pivot. Moment equals:
A. 5 Nm
B. 20 Nm
C. 12 Nm
D. 8 Nm
M = F × d.
7. For equilibrium in 2D, number of independent equations:
A. 2
B. 3
C. 4
D. 1
ΣFx=0, ΣFy=0, ΣM=0.
8. Acceleration is derivative of:
A. Position
, B. Velocity
C. Force
D. Momentum
a = dv/dt.
9. Normal stress formula:
A. σ = F/A²
B. σ = F/A
C. σ = FA
D. σ = A/F
Definition of normal stress.
10.Young’s modulus is ratio of:
A. Stress/Strain²
B. Stress/Strain
C. Strain/Stress
D. Force/Area
E = σ/ε in elastic region.
11.Ductile materials fail primarily by:
A. Brittle fracture
B. Shear yielding
C. Creep
D. Fatigue
Ductile failure governed by shear stress (von Mises).
12.Reynolds number indicates:
A. Pressure loss
B. Heat flux
C. Flow regime
D. Viscosity only
Determines laminar or turbulent flow.
13.Bernoulli equation applies to:
A. Compressible viscous flow
Questions Form Real Exams Latest 2026 2027
Update With 100 Questions & 100% Correct
Detailed Answers Graded A+ (Brand New!!)
Content Covered:
Mathematics (Calculus, Differential Equations, Linear Algebra) • Probability &
Statistics • Engineering Economics • Statics • Dynamics • Mechanics of Materials
• Materials Science • Fluid Mechanics • Thermodynamics • Heat Transfer •
Mechanical Design & Analysis • Measurements, Instrumentation & Controls •
Ethics & Professional Practice
Instructions: Multiple-choice questions. Select the best answer. Correct answer
is shown in BOLD. Explanation provided in italics.
1. The derivative of 𝑓(𝑥) = 3𝑥 3 − 5𝑥 2 + 4𝑥is:
A. 9x³ − 10x² + 4
B. 9x² − 10x + 4
C. 6x² − 5x + 4
D. 9x² − 5x + 4
Differentiate term-by-term using the power rule.
2
2. The integral of 2𝑥𝑒 𝑥 𝑑𝑥is:
A. e^{x²}
B. 2e^{x²}
C. e^{x²} + C
D. x²e^{x²}
Use substitution: let u = x².
3. The determinant of a 2×2 matrix [[a, b],[c, d]] is:
A. ad + bc
, B. ac − bd
C. ad − bc
D. ab − cd
Standard determinant formula.
4. Mean of data set: 2, 4, 6, 8 is:
A. 4
B. 6
C. 5
D. 8
Mean = (sum)/n = 20/4.
5. Present worth of $1000 received in 1 year at 5% interest:
A. 1000
B. 952.38
C. 1050
D. 950
PW = 1000/(1.05).
6. A force of 10 N acts at 2 m from pivot. Moment equals:
A. 5 Nm
B. 20 Nm
C. 12 Nm
D. 8 Nm
M = F × d.
7. For equilibrium in 2D, number of independent equations:
A. 2
B. 3
C. 4
D. 1
ΣFx=0, ΣFy=0, ΣM=0.
8. Acceleration is derivative of:
A. Position
, B. Velocity
C. Force
D. Momentum
a = dv/dt.
9. Normal stress formula:
A. σ = F/A²
B. σ = F/A
C. σ = FA
D. σ = A/F
Definition of normal stress.
10.Young’s modulus is ratio of:
A. Stress/Strain²
B. Stress/Strain
C. Strain/Stress
D. Force/Area
E = σ/ε in elastic region.
11.Ductile materials fail primarily by:
A. Brittle fracture
B. Shear yielding
C. Creep
D. Fatigue
Ductile failure governed by shear stress (von Mises).
12.Reynolds number indicates:
A. Pressure loss
B. Heat flux
C. Flow regime
D. Viscosity only
Determines laminar or turbulent flow.
13.Bernoulli equation applies to:
A. Compressible viscous flow
