Fundamentals of Engineering (FE) Exam
Practice Test
1. What is the SI unit of force?
A. Joule
B. Watt
C. Newton
D. Pascal
Answer: Newton
Rationale: A newton (N) is the SI unit of force and equals kg·m/s².
2. A car travels 120 km in 2 hours. What is its average speed?
A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 80 km/h
Answer: 60 km/h
Rationale: Speed = Distance ÷ Time = 120 ÷ 2 = 60 km/h.
3. What is the derivative of x²?
A. x
B. x³
,C. 2x
D. 2
Answer: 2x
Rationale: Using the power rule, d/dx(x²) = 2x.
4. What is the integral of 2x dx?
A. x²/2
B. x² + C
C. 2x² + C
D. x + C
Answer: x² + C
Rationale: The antiderivative of 2x is x² plus the constant of integration.
5. Which law states that force equals mass times acceleration?
A. First Law
B. Second Law
C. Third Law
D. Law of Gravitation
Answer: Second Law
Rationale: Newton’s Second Law is F = ma.
6. What is the area of a circle with radius 4 m?
A. 8π m²
B. 12π m²
,C. 16π m²
D. 32π m²
Answer: 16π m²
Rationale: Area = πr² = π(4²) = 16π.
7. Which material is generally the best electrical conductor?
A. Iron
B. Aluminum
C. Gold
D. Silver
Answer: Silver
Rationale: Silver has the highest electrical conductivity among common metals.
8. The unit of pressure is:
A. Joule
B. Newton
C. Watt
D. Pascal
Answer: Pascal
Rationale: Pressure is force per unit area and is measured in pascals (Pa).
9. What is the value of sin 90°?
A. 0
B. 0.5
, C. 1
D. √2
Answer: 1
Rationale: The sine of 90° equals 1.
10.Which property measures resistance to deformation?
A. Density
B. Conductivity
C. Toughness
D. Elastic Modulus
Answer: Elastic Modulus
Rationale: Young’s modulus quantifies material stiffness.
11.The probability of a certain event occurring is:
A. 0.5
B. 2
C. −1
D. 1
Answer: 1
Rationale: A certain event has probability 1.
12.What is the determinant of a 2×2 matrix [[a,b],[c,d]]?
A. ad + bc
B. ad − bc
Practice Test
1. What is the SI unit of force?
A. Joule
B. Watt
C. Newton
D. Pascal
Answer: Newton
Rationale: A newton (N) is the SI unit of force and equals kg·m/s².
2. A car travels 120 km in 2 hours. What is its average speed?
A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 80 km/h
Answer: 60 km/h
Rationale: Speed = Distance ÷ Time = 120 ÷ 2 = 60 km/h.
3. What is the derivative of x²?
A. x
B. x³
,C. 2x
D. 2
Answer: 2x
Rationale: Using the power rule, d/dx(x²) = 2x.
4. What is the integral of 2x dx?
A. x²/2
B. x² + C
C. 2x² + C
D. x + C
Answer: x² + C
Rationale: The antiderivative of 2x is x² plus the constant of integration.
5. Which law states that force equals mass times acceleration?
A. First Law
B. Second Law
C. Third Law
D. Law of Gravitation
Answer: Second Law
Rationale: Newton’s Second Law is F = ma.
6. What is the area of a circle with radius 4 m?
A. 8π m²
B. 12π m²
,C. 16π m²
D. 32π m²
Answer: 16π m²
Rationale: Area = πr² = π(4²) = 16π.
7. Which material is generally the best electrical conductor?
A. Iron
B. Aluminum
C. Gold
D. Silver
Answer: Silver
Rationale: Silver has the highest electrical conductivity among common metals.
8. The unit of pressure is:
A. Joule
B. Newton
C. Watt
D. Pascal
Answer: Pascal
Rationale: Pressure is force per unit area and is measured in pascals (Pa).
9. What is the value of sin 90°?
A. 0
B. 0.5
, C. 1
D. √2
Answer: 1
Rationale: The sine of 90° equals 1.
10.Which property measures resistance to deformation?
A. Density
B. Conductivity
C. Toughness
D. Elastic Modulus
Answer: Elastic Modulus
Rationale: Young’s modulus quantifies material stiffness.
11.The probability of a certain event occurring is:
A. 0.5
B. 2
C. −1
D. 1
Answer: 1
Rationale: A certain event has probability 1.
12.What is the determinant of a 2×2 matrix [[a,b],[c,d]]?
A. ad + bc
B. ad − bc
