FE Mechanical Engineering Fundamentals
Practice Examination Question Mock Exam
(2026 Edition) 100 Questions with Expert
Solutions & Rationales INSTANT DOWNLOD
PDF
1. Derivative of x3x^3x3:
A. x²
B. 3x²
C. 6x
D. x³
Power rule nxn−1nx^{n-1}nxn−1.
2. ∫2x dx =
A. 2x
B. x² + C
C. ln x
D. x³
Basic integration rule.
3. sin²θ + cos²θ =
A. 0
B. 1
C. 2
D. θ
Fundamental identity.
,4. |3 + 4i| =
A. 4
B. 5
C. 7
D. 1
Magnitude √(3²+4²).
5. ln(e⁵) =
A. 1
B. 5
C. e
D. 0
Inverse functions.
6. Dot product zero ⇒ vectors are
A. Parallel
B. Perpendicular
C. Equal
D. Random
Orthogonality condition.
7. Determinant of identity matrix =
A. 0
B. 1
C. n
D. −1
Diagonal ones multiply to 1.
8. Standard deviation measures
A. Mean
B. Spread
, C. Median
D. Mode
Dispersion of data.
9. Linear interpolation assumes
A. Curve
B. Straight line
C. Exponential
D. Log
Linear variation between points.
10. Solution of 2x = 10
A. 2
B. 5
C. 10
D. 20
Divide both sides by 2.
11. d/dx(sin x) =
A. −sin x
B. cos x
C. tan x
D. sec x
Basic derivative.
12. Integral of 1/x dx =
A. x
B. ln|x| + C
C. eˣ
D. x²
Logarithmic integral.
Practice Examination Question Mock Exam
(2026 Edition) 100 Questions with Expert
Solutions & Rationales INSTANT DOWNLOD
1. Derivative of x3x^3x3:
A. x²
B. 3x²
C. 6x
D. x³
Power rule nxn−1nx^{n-1}nxn−1.
2. ∫2x dx =
A. 2x
B. x² + C
C. ln x
D. x³
Basic integration rule.
3. sin²θ + cos²θ =
A. 0
B. 1
C. 2
D. θ
Fundamental identity.
,4. |3 + 4i| =
A. 4
B. 5
C. 7
D. 1
Magnitude √(3²+4²).
5. ln(e⁵) =
A. 1
B. 5
C. e
D. 0
Inverse functions.
6. Dot product zero ⇒ vectors are
A. Parallel
B. Perpendicular
C. Equal
D. Random
Orthogonality condition.
7. Determinant of identity matrix =
A. 0
B. 1
C. n
D. −1
Diagonal ones multiply to 1.
8. Standard deviation measures
A. Mean
B. Spread
, C. Median
D. Mode
Dispersion of data.
9. Linear interpolation assumes
A. Curve
B. Straight line
C. Exponential
D. Log
Linear variation between points.
10. Solution of 2x = 10
A. 2
B. 5
C. 10
D. 20
Divide both sides by 2.
11. d/dx(sin x) =
A. −sin x
B. cos x
C. tan x
D. sec x
Basic derivative.
12. Integral of 1/x dx =
A. x
B. ln|x| + C
C. eˣ
D. x²
Logarithmic integral.