Exam Questions And Correct Answers

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.

• The derivative of f(x)=3x3−5x2+4x−7f(x) = 3x^3 - 5x^2 + 4x -

7f(x)=3x3−5x2+4x−7 is:

• 9x2−10x+49x^2 - 10x + 49x2−10x+4
• 6x2−10x+46x^2 - 10x + 46x2−10x+4
• 9x2−10x+49x^2 - 10x + 49x2−10x+4
• 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.

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• A 10 kN force acts at an angle of 30° above the horizontal. The

horizontal component is:

• 5 kN
• 7.5 kN
• 8.66 kN
• 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.

• The moment of inertia of a rectangle (base b, height h) about its

centroidal x-axis is:

• bh212\frac{bh^2}{12}12bh2
• bh312\frac{bh^3}{12}12bh3
• b3h12\frac{b^3h}{12}12b3h
• bh33\frac{bh^3}{3}3bh3

Rationale: For a rectangle, Ix=112bh3I_x = \frac{1}{12}bh^3Ix=121bh3.

• A simply supported beam with a central point load PPP has maximum

bending moment:

• PL4\frac{PL}{4}4PL
• PL8\frac{PL}{8}8PL
• PL2\frac{PL}{2}2PL 2 / 4

• 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:

• Acceleration
• Displacement
• Momentum
• Force

Rationale: Integration of velocity with respect to time gives displacement.

6. The sum of forces in static equilibrium is:

• Zero in vertical direction
• Zero in horizontal direction
• Zero in all directions
• Equal to the weight

Rationale: Equilibrium requires ΣF = 0 and ΣM = 0 in all directions.

• Which material property defines the ratio of stress to strain in the

elastic region?

• Shear Modulus
• Bulk Modulus 3 / 4

• Young’s Modulus
• Poisson’s Ratio

Rationale: Young’s modulus = σ/ϵ\sigma / \epsilonσ/ϵ.

8. The continuity equation in fluid mechanics ensures:

• Conservation of energy
• Conservation of momentum
• Conservation of mass
• Conservation of volume

Rationale: Continuity: A1V1=A2V2A_1V_1 = A_2V_2A1V1=A2V2 (mass flow constant).

9. The Bernoulli equation relates:

• Force and acceleration
• Pressure, velocity, and elevation
• Volume and density
• Energy and entropy

Rationale: Bernoulli’s principle expresses total energy per unit weight of fluid as constant.

• In thermodynamics, the first law represents:
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