Georgia Fundamentals of Engineering
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1. What is the derivative of 𝑓(𝑥) = 3𝑥 2 + 5𝑥 − 7?
a) 6𝑥 + 5
b) 6𝑥 − 5
c) 6𝑥 + 5
d) 3𝑥 + 5
The derivative of 𝑎𝑥 𝑛 is 𝑛𝑎𝑥 𝑛−1; apply to each term.
2. A beam is simply supported at both ends and carries a uniformly distributed load. The
maximum bending moment occurs:
a) At the supports
b) At the midpoint
c) At the midpoint
d) At one-quarter span
For simply supported beams with uniform load, maximum bending moment is at the
center.
3. The solution to the equation 2𝑥 − 7 = 3is:
a) 2
b) 3
c) 5
d) 7
Add 7 to both sides and divide by 2: 2𝑥 = 10 ⇒ 𝑥 = 5.
4. In fluid mechanics, the principle that pressure applied to a confined fluid is transmitted
equally in all directions is called:
a) Bernoulli’s principle
b) Pascal’s law
c) Archimedes’ principle
d) Pascal’s law
Pascal’s law states that pressure in a confined fluid acts equally in all directions.
, 5. The integral ∫ 4𝑥 3 𝑑𝑥is:
a) 𝑥 4
b) 𝑥 4 + 𝐶
c) 𝑥 4 /4 + 𝐶
d) 𝑥 3 + 𝐶
Power rule: ∫ 𝑥 𝑛 𝑑𝑥 = 𝑥 𝑛+1 /(𝑛 + 1) + 𝐶; here ∫ 4𝑥 3 𝑑𝑥 = 𝑥 4 + 𝐶.
6. Which of the following is a vector quantity?
a) Speed
b) Mass
c) Velocity
d) Temperature
Vectors have both magnitude and direction; velocity has both.
7. The resistivity of a material is defined as:
a) Resistance per unit length
b) Resistance per unit area
c) Resistance per unit length and cross-sectional area
d) None of the above
Resistivity ρ = R × A / L.
Δ𝐿
8. A structure subjected to axial load undergoes strain 𝜀 = 𝐿 . If the original length is
doubled and elongation remains constant, strain:
a) Doubles
b) Halves
c) Halves
d) Stays the same
Strain is proportional to change in length over original length.
9. A chemical reaction rate increases with:
a) Decreasing temperature
b) Decreasing concentration
c) Increasing temperature
d) Decreasing pressure
Increasing temperature increases kinetic energy and collision frequency.
10. For a simply supported beam of length L carrying a point load at the center, the
deflection at the midpoint is proportional to:
a) 𝐿2
b) 𝐿3
c) 𝐿3
d) 𝐿4
Beam theory: δ = PL^EI for central point load.
11. The unit of force in SI system is:
a) Dyne
b) Pound
c) Newton
d) Newton
1 Newton = 1 kg·m/s².
12. The Laplace transform of 𝑓(𝑡) = 1is:
a) 0
Exam – Test Questions And Correct
Answers (Verified Answers) Plus
Rationales 2026 Q&A | Instant
Download Pdf
1. What is the derivative of 𝑓(𝑥) = 3𝑥 2 + 5𝑥 − 7?
a) 6𝑥 + 5
b) 6𝑥 − 5
c) 6𝑥 + 5
d) 3𝑥 + 5
The derivative of 𝑎𝑥 𝑛 is 𝑛𝑎𝑥 𝑛−1; apply to each term.
2. A beam is simply supported at both ends and carries a uniformly distributed load. The
maximum bending moment occurs:
a) At the supports
b) At the midpoint
c) At the midpoint
d) At one-quarter span
For simply supported beams with uniform load, maximum bending moment is at the
center.
3. The solution to the equation 2𝑥 − 7 = 3is:
a) 2
b) 3
c) 5
d) 7
Add 7 to both sides and divide by 2: 2𝑥 = 10 ⇒ 𝑥 = 5.
4. In fluid mechanics, the principle that pressure applied to a confined fluid is transmitted
equally in all directions is called:
a) Bernoulli’s principle
b) Pascal’s law
c) Archimedes’ principle
d) Pascal’s law
Pascal’s law states that pressure in a confined fluid acts equally in all directions.
, 5. The integral ∫ 4𝑥 3 𝑑𝑥is:
a) 𝑥 4
b) 𝑥 4 + 𝐶
c) 𝑥 4 /4 + 𝐶
d) 𝑥 3 + 𝐶
Power rule: ∫ 𝑥 𝑛 𝑑𝑥 = 𝑥 𝑛+1 /(𝑛 + 1) + 𝐶; here ∫ 4𝑥 3 𝑑𝑥 = 𝑥 4 + 𝐶.
6. Which of the following is a vector quantity?
a) Speed
b) Mass
c) Velocity
d) Temperature
Vectors have both magnitude and direction; velocity has both.
7. The resistivity of a material is defined as:
a) Resistance per unit length
b) Resistance per unit area
c) Resistance per unit length and cross-sectional area
d) None of the above
Resistivity ρ = R × A / L.
Δ𝐿
8. A structure subjected to axial load undergoes strain 𝜀 = 𝐿 . If the original length is
doubled and elongation remains constant, strain:
a) Doubles
b) Halves
c) Halves
d) Stays the same
Strain is proportional to change in length over original length.
9. A chemical reaction rate increases with:
a) Decreasing temperature
b) Decreasing concentration
c) Increasing temperature
d) Decreasing pressure
Increasing temperature increases kinetic energy and collision frequency.
10. For a simply supported beam of length L carrying a point load at the center, the
deflection at the midpoint is proportional to:
a) 𝐿2
b) 𝐿3
c) 𝐿3
d) 𝐿4
Beam theory: δ = PL^EI for central point load.
11. The unit of force in SI system is:
a) Dyne
b) Pound
c) Newton
d) Newton
1 Newton = 1 kg·m/s².
12. The Laplace transform of 𝑓(𝑡) = 1is:
a) 0
