Fundamentals of Engineering (FE)
Mechanical Actual Exam 2026 Complete
Questions and Verified Answers with
Detailed Rationales 100% Correct Grade
A Pass Guaranteed - A+ Graded
1. Evaluate 32+423^2 + 4^232+42.
A. 12
B. 25
C. 49
D. 18
Answer: B. 25
Rationale: 32=93^2 = 932=9 and 42=164^2 = 1642=16. Their sum is 9+16=259 + 16
= 259+16=25. This calculation frequently appears in engineering applications such
as vector magnitudes and the Pythagorean theorem.
2. The SI unit of force is the:
A. Joule
B. Watt
C. Pascal
D. Newton
Answer: D. Newton
Rationale: Force is measured in newtons (N), where 1 N = 1 kg·m/s² according to
Newton's Second Law.
,3. Which derivative is correct?
ddx(x4)\frac{d}{dx}(x^4)dxd(x4)
A. 4x34x^34x3
B. x3x^3x3
C. 4x44x^44x4
D. 3x43x^43x4
Answer: A. 4x34x^34x3
Rationale: Using the power rule, ddx(xn)=nxn−1\frac{d}{dx}(x^n)=nx^{n-1}dxd
(xn)=nxn−1. For n=4n=4n=4, the derivative is 4x34x^34x3.
4. A fair six-sided die is rolled once. What is the probability of rolling a 5?
A. 1/6
B. 1/5
C. 5/6
D. 1/3
Answer: A. 1/6
Rationale: Each face has an equal probability of occurring. One favorable outcome
out of six equally likely outcomes gives a probability of 1/6.
5. Engineering ethics requires engineers to place the highest priority on:
A. Company profits
B. Project schedule
C. Public health, safety, and welfare
D. Client preferences
Answer: C. Public health, safety, and welfare
,Rationale: Engineering codes of ethics consistently state that protection of public
safety and welfare is the engineer's primary professional responsibility.
6. Simple interest is calculated using:
A. Principal × Rate × Time
B. Principal × Rate²
C. Principal ÷ Time
D. Rate × Time²
Answer: A. Principal × Rate × Time
Rationale: Simple interest equals I=PrtI = PrtI=Prt, where P is principal, r is the
annual interest rate, and t is time.
7. Which quantity is measured in volts?
A. Current
B. Resistance
C. Electric potential
D. Power
Answer: C. Electric potential
Rationale: Voltage represents electric potential difference and is measured in volts
(V).
8. Ohm's Law is expressed as:
A. P=IVP=IVP=IV
B. V=IRV=IRV=IR
C. F=maF=maF=ma
, D. PV=nRTPV=nRTPV=nRT
Answer: B. V=IRV=IRV=IR
Rationale: Ohm's Law relates voltage, current, and resistance through the
equation V=IRV = IRV=IR.
9. A body remains at rest unless acted upon by a net external force. This is:
A. Newton's Second Law
B. Newton's Third Law
C. Newton's First Law
D. Law of Conservation of Energy
Answer: C. Newton's First Law
Rationale: Newton's First Law describes inertia—the tendency of an object to
maintain its current state of motion.
10. Which quantity is a vector?
A. Temperature
B. Mass
C. Energy
D. Force
Answer: D. Force
Rationale: Force possesses both magnitude and direction, making it a vector
quantity.
11. The SI unit of stress is:
A. Newton
Mechanical Actual Exam 2026 Complete
Questions and Verified Answers with
Detailed Rationales 100% Correct Grade
A Pass Guaranteed - A+ Graded
1. Evaluate 32+423^2 + 4^232+42.
A. 12
B. 25
C. 49
D. 18
Answer: B. 25
Rationale: 32=93^2 = 932=9 and 42=164^2 = 1642=16. Their sum is 9+16=259 + 16
= 259+16=25. This calculation frequently appears in engineering applications such
as vector magnitudes and the Pythagorean theorem.
2. The SI unit of force is the:
A. Joule
B. Watt
C. Pascal
D. Newton
Answer: D. Newton
Rationale: Force is measured in newtons (N), where 1 N = 1 kg·m/s² according to
Newton's Second Law.
,3. Which derivative is correct?
ddx(x4)\frac{d}{dx}(x^4)dxd(x4)
A. 4x34x^34x3
B. x3x^3x3
C. 4x44x^44x4
D. 3x43x^43x4
Answer: A. 4x34x^34x3
Rationale: Using the power rule, ddx(xn)=nxn−1\frac{d}{dx}(x^n)=nx^{n-1}dxd
(xn)=nxn−1. For n=4n=4n=4, the derivative is 4x34x^34x3.
4. A fair six-sided die is rolled once. What is the probability of rolling a 5?
A. 1/6
B. 1/5
C. 5/6
D. 1/3
Answer: A. 1/6
Rationale: Each face has an equal probability of occurring. One favorable outcome
out of six equally likely outcomes gives a probability of 1/6.
5. Engineering ethics requires engineers to place the highest priority on:
A. Company profits
B. Project schedule
C. Public health, safety, and welfare
D. Client preferences
Answer: C. Public health, safety, and welfare
,Rationale: Engineering codes of ethics consistently state that protection of public
safety and welfare is the engineer's primary professional responsibility.
6. Simple interest is calculated using:
A. Principal × Rate × Time
B. Principal × Rate²
C. Principal ÷ Time
D. Rate × Time²
Answer: A. Principal × Rate × Time
Rationale: Simple interest equals I=PrtI = PrtI=Prt, where P is principal, r is the
annual interest rate, and t is time.
7. Which quantity is measured in volts?
A. Current
B. Resistance
C. Electric potential
D. Power
Answer: C. Electric potential
Rationale: Voltage represents electric potential difference and is measured in volts
(V).
8. Ohm's Law is expressed as:
A. P=IVP=IVP=IV
B. V=IRV=IRV=IR
C. F=maF=maF=ma
, D. PV=nRTPV=nRTPV=nRT
Answer: B. V=IRV=IRV=IR
Rationale: Ohm's Law relates voltage, current, and resistance through the
equation V=IRV = IRV=IR.
9. A body remains at rest unless acted upon by a net external force. This is:
A. Newton's Second Law
B. Newton's Third Law
C. Newton's First Law
D. Law of Conservation of Energy
Answer: C. Newton's First Law
Rationale: Newton's First Law describes inertia—the tendency of an object to
maintain its current state of motion.
10. Which quantity is a vector?
A. Temperature
B. Mass
C. Energy
D. Force
Answer: D. Force
Rationale: Force possesses both magnitude and direction, making it a vector
quantity.
11. The SI unit of stress is:
A. Newton
