FUNDAMENTALS OF ENGINEERING (FE) CIVIL EXAM
QUESTIONS AND CORRECT ANSWERS (VERIFIED
ANSWERS) Q&A 2027 |INSTANT DOWNLOAD PDF
1. A concrete cylinder has a diameter of 150 mm and a height
of 300 mm. What is its volume?
A. 0.00353 m³
B. 0.00530 m³
C. 0.00707 m³
D. 0.01060 m³
Answer: A. 0.00530 m³
Rationale: V=πd2h/4=π(0.15)2(0.30)/4=0.00530 m3V=\pi
d^2h/4=\pi(0.15)^2(0.30)/4=0.00530\text{ m}^3.
2. What is the derivative of f(x)=3x4−5x2+2f(x)=3x^4-5x^2+2?
A. 12x3−10x12x^3-10x
B. 3x3−5x3x^3-5x
C. 12x4−10x212x^4-10x^2
D. x3−xx^3-x
Answer: A. 12x3−10x12x^3-10x
Rationale: Apply the power rule to each polynomial term.
3. Evaluate ∫023x2 dx\int_0^2 3x^2\,dx.
,A. 4
B. 6
C. 8
D. 12
Answer: C. 8
Rationale: The integral is x3∣02=8x^3|_0^2=8.
4. A vector has components 6 kN in the x-direction and 8 kN in
the y-direction. What is its magnitude?
A. 7 kN
B. 10 kN
C. 12 kN
D. 14 kN
Answer: B. 10 kN
Rationale: F=62+82=10F=\sqrt{6^2+8^2}=10 kN.
5. What is the probability of rolling an even number on a fair
six-sided die?
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Answer: C. 1/2
Rationale: Three of six outcomes—2, 4, and 6—are even.
,6. For a normal distribution, approximately what percentage
of observations fall within ±2 standard deviations of the
mean?
A. 68%
B. 90%
C. 95%
D. 99.7%
Answer: C. 95%
Rationale: The empirical rule gives approximately 68%, 95%,
and 99.7% within 1, 2, and 3 standard deviations.
7. Which statistic measures the spread of data around the
mean?
A. Mean
B. Median
C. Standard deviation
D. Mode
Answer: C. Standard deviation
Rationale: Standard deviation quantifies the dispersion of
observations around their mean.
, 8. A project requires an initial investment of $10,000 and
produces $12,000 one year later. If the discount rate is 10%,
what is the present value of the future cash flow?
A. $9,091
B. $10,000
C. $10,909
D. $12,000
Answer: C. $10,909
Rationale: PV=12,000/(1.10)=10,909PV=12,000/(1.10)=10,909.
9. In engineering economics, what does a positive net present
value generally indicate?
A. The project loses money relative to the discount rate
B. The project earns exactly the discount rate
C. The project is economically attractive at the specified
discount rate
D. The project has no cash flow
Answer: C. The project is economically attractive at the
specified discount rate
Rationale: A positive NPV means discounted benefits exceed
discounted costs.
10. Which professional responsibility should take precedence
for a civil engineer?
QUESTIONS AND CORRECT ANSWERS (VERIFIED
ANSWERS) Q&A 2027 |INSTANT DOWNLOAD PDF
1. A concrete cylinder has a diameter of 150 mm and a height
of 300 mm. What is its volume?
A. 0.00353 m³
B. 0.00530 m³
C. 0.00707 m³
D. 0.01060 m³
Answer: A. 0.00530 m³
Rationale: V=πd2h/4=π(0.15)2(0.30)/4=0.00530 m3V=\pi
d^2h/4=\pi(0.15)^2(0.30)/4=0.00530\text{ m}^3.
2. What is the derivative of f(x)=3x4−5x2+2f(x)=3x^4-5x^2+2?
A. 12x3−10x12x^3-10x
B. 3x3−5x3x^3-5x
C. 12x4−10x212x^4-10x^2
D. x3−xx^3-x
Answer: A. 12x3−10x12x^3-10x
Rationale: Apply the power rule to each polynomial term.
3. Evaluate ∫023x2 dx\int_0^2 3x^2\,dx.
,A. 4
B. 6
C. 8
D. 12
Answer: C. 8
Rationale: The integral is x3∣02=8x^3|_0^2=8.
4. A vector has components 6 kN in the x-direction and 8 kN in
the y-direction. What is its magnitude?
A. 7 kN
B. 10 kN
C. 12 kN
D. 14 kN
Answer: B. 10 kN
Rationale: F=62+82=10F=\sqrt{6^2+8^2}=10 kN.
5. What is the probability of rolling an even number on a fair
six-sided die?
A. 1/6
B. 1/3
C. 1/2
D. 2/3
Answer: C. 1/2
Rationale: Three of six outcomes—2, 4, and 6—are even.
,6. For a normal distribution, approximately what percentage
of observations fall within ±2 standard deviations of the
mean?
A. 68%
B. 90%
C. 95%
D. 99.7%
Answer: C. 95%
Rationale: The empirical rule gives approximately 68%, 95%,
and 99.7% within 1, 2, and 3 standard deviations.
7. Which statistic measures the spread of data around the
mean?
A. Mean
B. Median
C. Standard deviation
D. Mode
Answer: C. Standard deviation
Rationale: Standard deviation quantifies the dispersion of
observations around their mean.
, 8. A project requires an initial investment of $10,000 and
produces $12,000 one year later. If the discount rate is 10%,
what is the present value of the future cash flow?
A. $9,091
B. $10,000
C. $10,909
D. $12,000
Answer: C. $10,909
Rationale: PV=12,000/(1.10)=10,909PV=12,000/(1.10)=10,909.
9. In engineering economics, what does a positive net present
value generally indicate?
A. The project loses money relative to the discount rate
B. The project earns exactly the discount rate
C. The project is economically attractive at the specified
discount rate
D. The project has no cash flow
Answer: C. The project is economically attractive at the
specified discount rate
Rationale: A positive NPV means discounted benefits exceed
discounted costs.
10. Which professional responsibility should take precedence
for a civil engineer?
