Fundamentals of Engineering Exam (FE Other
Disciplines) 2026 Questions with Expert
Solutions & Rationales) INSTANT DOWNLOD
PDF
1. Solve for x: 2x + 5 = 17
a) 10
b) 6
c) 5
d) 6
Rationale: Subtract 5 from both sides: 2x = 12; divide by 2: x = 6.
2. The derivative of f(x) = 3x² + 4x is:
a) 3x²
b) 6x + 4
c) 3x + 4
d) 6x² + 4
Rationale: Use the power rule: d/dx[x^n] = n*x^(n-1). So, derivative of
3x² is 6x, derivative of 4x is 4.
3. The integral of ∫2x dx is:
a) x² + C
b) 2x² + C
c) x² + C
d) 4x + C
Rationale: ∫ x^n dx = (x^(n+1))/(n+1) + C. So, ∫2x dx = 2 * (x²/2) + C = x²
+ C.
,4. If sin θ = 0.5, θ = ? (0 ≤ θ ≤ 360°)
a) 30°
b) 150°
c) 30° and 150°
d) 60°
Rationale: sin θ = 0.5 at θ = 30° in Q1 and θ = 150° in Q2.
5. Logarithm property: ln(ab) = ?
a) ln a + b
b) ln a * ln b
c) ln a + ln b
d) ln a - ln b
Rationale: Logarithm property: ln(ab) = ln a + ln b.
2. Probability & Statistics
6. If P(A) = 0.3 and P(B) = 0.4, and A and B are independent, P(A ∩ B) =
?
a) 0.7
b) 0.12
c) 0.12
d) 0.1
Rationale: For independent events, P(A ∩ B) = P(A)P(B) = 0.30.4 = 0.12.
7. Mean of the data set {2, 4, 6, 8} = ?
a) 4
b) 6
c) 5
d) 20
, Rationale: Mean = sum of values / number of values = (2+4+6+8)/4 =
20/4 = 5.
8. Standard deviation measures:
a) Central tendency
b) Probability
c) Spread of data
d) Frequency
Rationale: Standard deviation quantifies the dispersion or variability
of a data set.
3. Ethics & Professional Practice
9. An engineer discovers a safety hazard in a project. The engineer
should:
a) Ignore it if the client approves
b) Report it to the proper authorities and take action
c) Wait until an accident occurs
d) Fix it only if it is easy
Rationale: Ethical practice requires engineers to protect public safety
by reporting hazards.
10. The NSPE Code of Ethics emphasizes:
a) Profit over safety
b) Public safety, health, and welfare
c) Personal gain first
d) Ignoring legal requirements
Rationale: The NSPE Code of Ethics prioritizes the safety, health, and
welfare of the public.
Disciplines) 2026 Questions with Expert
Solutions & Rationales) INSTANT DOWNLOD
1. Solve for x: 2x + 5 = 17
a) 10
b) 6
c) 5
d) 6
Rationale: Subtract 5 from both sides: 2x = 12; divide by 2: x = 6.
2. The derivative of f(x) = 3x² + 4x is:
a) 3x²
b) 6x + 4
c) 3x + 4
d) 6x² + 4
Rationale: Use the power rule: d/dx[x^n] = n*x^(n-1). So, derivative of
3x² is 6x, derivative of 4x is 4.
3. The integral of ∫2x dx is:
a) x² + C
b) 2x² + C
c) x² + C
d) 4x + C
Rationale: ∫ x^n dx = (x^(n+1))/(n+1) + C. So, ∫2x dx = 2 * (x²/2) + C = x²
+ C.
,4. If sin θ = 0.5, θ = ? (0 ≤ θ ≤ 360°)
a) 30°
b) 150°
c) 30° and 150°
d) 60°
Rationale: sin θ = 0.5 at θ = 30° in Q1 and θ = 150° in Q2.
5. Logarithm property: ln(ab) = ?
a) ln a + b
b) ln a * ln b
c) ln a + ln b
d) ln a - ln b
Rationale: Logarithm property: ln(ab) = ln a + ln b.
2. Probability & Statistics
6. If P(A) = 0.3 and P(B) = 0.4, and A and B are independent, P(A ∩ B) =
?
a) 0.7
b) 0.12
c) 0.12
d) 0.1
Rationale: For independent events, P(A ∩ B) = P(A)P(B) = 0.30.4 = 0.12.
7. Mean of the data set {2, 4, 6, 8} = ?
a) 4
b) 6
c) 5
d) 20
, Rationale: Mean = sum of values / number of values = (2+4+6+8)/4 =
20/4 = 5.
8. Standard deviation measures:
a) Central tendency
b) Probability
c) Spread of data
d) Frequency
Rationale: Standard deviation quantifies the dispersion or variability
of a data set.
3. Ethics & Professional Practice
9. An engineer discovers a safety hazard in a project. The engineer
should:
a) Ignore it if the client approves
b) Report it to the proper authorities and take action
c) Wait until an accident occurs
d) Fix it only if it is easy
Rationale: Ethical practice requires engineers to protect public safety
by reporting hazards.
10. The NSPE Code of Ethics emphasizes:
a) Profit over safety
b) Public safety, health, and welfare
c) Personal gain first
d) Ignoring legal requirements
Rationale: The NSPE Code of Ethics prioritizes the safety, health, and
welfare of the public.
