2026-2027- 100- QUESTIONS AND CORRECT
DETAILED ANSWERS QUESTIONS FROM
REAL EXAMS ALREADY GRADED A+
CONTENT COVERED
• Mathematics
• Engineering Probability & Statistics
• Ethics & Professional Practice
• Engineering Economics
• Statics
• Dynamics
• Mechanics of Materials
• Materials
• Fluid Mechanics
• Surveying
• Structural Analysis
• Geotechnical Engineering
• Transportation Engineering
• Environmental Engineering
• Construction Engineering
,Mathematics (1–6)
1. Evaluate the integral ∫(3x² − 4x + 1) dx.
A. x³ − 2x² + x
B. x³ − 2x² + x + C
C. 3x³ − 4x² + x
D. x³ − 4x² + C
Integration is performed term by term, adding the constant of integration.
2. Solve for x: ln(x) = 2.
A. 2
B. ln(2)
C. e²
D. 10
Exponentiating both sides gives x = e².
3. What is the determinant of the matrix [[2,1],[3,4]]?
A. 11
B. 2
C. 5
D. −5
Determinant = (2×4 − 1×3) = 5.
4. The derivative of f(x) = x³ − 5x² + 6 is:
A. 3x² − 10x
B. 3x² − 10x
C. x² − 5x
D. 6x − 10
Power rule is applied to each term.
5. If sin θ = 0.6, what is cos θ assuming θ is acute?
A. 0.6
B. 0.8
C. 1.0
, D. 0.36
Using sin²θ + cos²θ = 1.
6. What is the solution to 2x + 5 = 13?
A. 3
B. 4
C. 6
D. −4
Rearranging yields x = 4.
Probability & Statistics (7–10)
7. A data set has values: 2, 4, 6, 8. What is the mean?
A. 4
B. 6
C. 5
D. 8
Mean = sum ÷ number of values.
8. If two events are independent, then P(A ∩ B) equals:
A. P(A) + P(B)
B. P(A)/P(B)
C. P(A)P(B)
D. P(A) − P(B)
Definition of independent events.
9. The standard deviation measures:
A. Central tendency
B. Accuracy
C. Data dispersion
D. Probability
Standard deviation reflects spread around the mean.
10.A normal distribution is symmetric about the:
A. Mode