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1. A steel beam has a modulus of elasticity E=200 GPaE = 200 \text{
GPa}E=200 GPa and is subjected to a stress of 100 MPa100 \text{
MPa}100 MPa. What is the strain in the beam?
A) 0.00025
B) 0.0005
C) 0.005
D) 0.05
B) 0.0005
Rationale: Strain = Stress / Modulus of Elasticity = 100 MPa / 200 GPa =
0.0005.
2. Which of the following is a vector quantity?
A) Temperature
B) Pressure
C) Velocity
D) Mass
C) Velocity
Rationale: Velocity has both magnitude and direction, making it a
vector.
3. The derivative of f(x)=x3−5xf(x) = x^3 - 5xf(x)=x3−5x is:
A) 3x2−53x^2 - 53x2−5
, B) x2−5x^2 - 5x2−5
C) 3x2+53x^2 + 53x2+5
D) x2+5x^2 + 5x2+5
A) 3x^2 - 5
Rationale: Using standard derivative rules, d(xn)/dx=nxn−1d(x^n)/dx =
n x^{n-1}d(xn)/dx=nxn−1.
4. The flow rate QQQ in a pipe is given by Q=vAQ = vAQ=vA. If the velocity
doubles and the cross-sectional area remains constant, the flow rate:
A) Remains the same
B) Doubles
C) Halves
D) Quadruples
B) Doubles
Rationale: Flow rate is directly proportional to velocity; doubling
velocity doubles Q.
5. In a simply supported beam with a uniform load, the maximum bending
moment occurs:
A) At the supports
B) At the midspan
C) At one-quarter span
D) At the ends
B) At the midspan
Rationale: Maximum bending moment for a simply supported beam
under uniform load occurs at midspan.
6. If a resistor of 10 Ω is connected in series with a 5 Ω resistor across a 15
V battery, the total current is:
A) 1 A
B) 1.5 A
C) 2 A
D) 0.5 A
A) 1 A
Rationale: Total resistance = 10 + 5 = 15 Ω; I = V/R = 15/15 = 1 A.
, 7. The units of kinematic viscosity are:
A) m/s²
B) m²/s
C) Pa·s
D) N·s/m²
B) m²/s
Rationale: Kinematic viscosity ν = μ/ρ, units = m²/s.
8. A 2 kg object is accelerated at 5 m/s². The force applied is:
A) 5 N
B) 10 N
C) 7 N
D) 2.5 N
B) 10 N
Rationale: F = ma = 2 × 5 = 10 N.
9. Which law states that the sum of currents entering a node equals the
sum leaving it?
A) Ohm’s Law
B) Kirchhoff’s Current Law
C) Kirchhoff’s Voltage Law
D) Faraday’s Law
B) Kirchhoff’s Current Law
Rationale: KCL states that the algebraic sum of currents at a node is
zero.
10.A 3-phase AC system with line voltage 400 V has a phase voltage of:
A) 400 V
B) 230 V
C) 346 V
D) 200 V
B) 230 V
Rationale: V_phase = V_line / √3 = .732 ≈ 230 V.
11.In civil engineering, which soil type has the highest permeability?
A) Clay
B) Silt