New York FE (Fundamentals of
Engineering) Practice Exam Questions
And Correct Answers (Verified Answers)
Plus Rationales 2026|2027 Q&A |
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1. The derivative of f(x) = 3x² − 5x + 7 is:
A) 6x + 5
B) 3x² − 5
C) 6x − 5
D) 3x − 5
Rationale: Power rule: d/dx(3x²)=6x and d/dx(−5x)=−5; constant goes
to 0.
2. The definite integral ∫₀² (x + 1) dx equals:
A) 2
B) 4
, C) 6
D) 8
Rationale: ∫(x+1)dx = x²/2 + x; evaluate 0→2: (2²/2+2)−0= (2+2)=4.
3. A vector v = 3i − 4j has magnitude:
A) 5
B) 5
C) 7
D) √13
Rationale: Magnitude = √(3²+ (−4)²)=√(9+16)=√25=5.
4. If a normal distribution has mean μ = 10 and ς = 2, the z-score for x =
14 is:
A) 1
B) 2
C) −2
D) 4
Rationale: z = (x−μ)/ς = (14−10)/2=2.
5. The probability of getting exactly 2 heads in 3 fair coin tosses is:
A) 1/8
B) 1/3
C) 3/8
D) 1/2
Rationale: Binomial: C(3,2)(1/2)³ = 3×1/8=3/8.
, 6. The sample mean of data {2, 4, 6, 8} is:
A) 4
B) 5
C) 6
D) 20
Rationale: Mean = (2+4+6+8)/4 = 20/4=5.
7. A simply supported beam with a central point load P has maximum
bending moment:
A) PL/4
B) PL/8
C) PL/2
D) M = 0
Rationale: For midspan point load, M_max = PL/4 at the center.
8. For axial stress, ς = P/A. If P = 40 kN and A = 200 mm², ς equals:
A) 200 MPa
B) 0.2 MPa
C) 2 MPa
D) 20 MPa
Rationale: 40 kN=40,000 N; 200 mm²=2×10⁻´ m²; ς=40,000/2e−4=2e8
Pa=200 MPa.
9. Hooke’s law for linear elastic materials is:
A) τ = Gγ
B) ς = Eε
Engineering) Practice Exam Questions
And Correct Answers (Verified Answers)
Plus Rationales 2026|2027 Q&A |
Instant Download Pdf
1. The derivative of f(x) = 3x² − 5x + 7 is:
A) 6x + 5
B) 3x² − 5
C) 6x − 5
D) 3x − 5
Rationale: Power rule: d/dx(3x²)=6x and d/dx(−5x)=−5; constant goes
to 0.
2. The definite integral ∫₀² (x + 1) dx equals:
A) 2
B) 4
, C) 6
D) 8
Rationale: ∫(x+1)dx = x²/2 + x; evaluate 0→2: (2²/2+2)−0= (2+2)=4.
3. A vector v = 3i − 4j has magnitude:
A) 5
B) 5
C) 7
D) √13
Rationale: Magnitude = √(3²+ (−4)²)=√(9+16)=√25=5.
4. If a normal distribution has mean μ = 10 and ς = 2, the z-score for x =
14 is:
A) 1
B) 2
C) −2
D) 4
Rationale: z = (x−μ)/ς = (14−10)/2=2.
5. The probability of getting exactly 2 heads in 3 fair coin tosses is:
A) 1/8
B) 1/3
C) 3/8
D) 1/2
Rationale: Binomial: C(3,2)(1/2)³ = 3×1/8=3/8.
, 6. The sample mean of data {2, 4, 6, 8} is:
A) 4
B) 5
C) 6
D) 20
Rationale: Mean = (2+4+6+8)/4 = 20/4=5.
7. A simply supported beam with a central point load P has maximum
bending moment:
A) PL/4
B) PL/8
C) PL/2
D) M = 0
Rationale: For midspan point load, M_max = PL/4 at the center.
8. For axial stress, ς = P/A. If P = 40 kN and A = 200 mm², ς equals:
A) 200 MPa
B) 0.2 MPa
C) 2 MPa
D) 20 MPa
Rationale: 40 kN=40,000 N; 200 mm²=2×10⁻´ m²; ς=40,000/2e−4=2e8
Pa=200 MPa.
9. Hooke’s law for linear elastic materials is:
A) τ = Gγ
B) ς = Eε
