PRACTICE QUESTIONS WITH CORRECT
ANSWERS (VERIFIED ANSWERS) PLUS
RATIONALES 2026 Q&A | INSTANT
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1. Which of the following is a vector quantity?
A. Temperature
B. Mass
C. Velocity
D. Energy
Rationale: Velocity has both magnitude and direction, making it a
vector.
2. The derivative of 𝑓(𝑥) = 𝑥 3 is:
A. 3𝑥
B. 𝑥 2
C. 3𝑥 2
D. 𝑥 3
Rationale: Using the power rule, 𝑑/𝑑𝑥[𝑥 𝑛 ] = 𝑛𝑥 𝑛−1 .
3. The integral of ∫ 2𝑥𝑑𝑥is:
A. 𝑥 2 + 𝐶
B. 2𝑥 + 𝐶
,C. 𝑥 2 + 𝐶
D. 𝑥 + 𝐶
Rationale: ∫ 2𝑥𝑑𝑥 = 𝑥 2 + 𝐶where C is the constant of integration.
4. A simply supported beam subjected to a central point load
experiences:
A. Uniform bending moment
B. No bending
C. Maximum bending moment at the center
D. Maximum shear at the ends only
Rationale: For a simply supported beam with a central point load,
bending moment is maximum at the center.
5. The resistance of a conductor depends on:
A. Length, cross-sectional area, and resistivity
B. Temperature only
C. Voltage
D. Length, cross-sectional area, and resistivity
Rationale: Resistance 𝑅 = 𝜌𝐿/𝐴, where 𝜌is resistivity, L is length, A is
area.
6. The probability of rolling a 3 on a fair six-sided die is:
A. 1/3
B. 1/2
C. 1/6
D. 1/4
, Rationale: One favorable outcome out of six possible outcomes.
7. Which of the following is a renewable energy source?
A. Coal
B. Oil
C. Solar
D. Natural gas
Rationale: Solar energy is renewable and naturally replenished.
8. The stress in a material is defined as:
A. Force × Area
B. Force / Area
C. Strain × Modulus
D. Area / Force
Rationale: Stress 𝜎 = 𝐹/𝐴.
9. Strain is:
A. Force per unit area
B. Stress
C. Change in length/original length
D. Area / Force
Rationale: Strain measures deformation per unit length.
10. The acceleration due to gravity on Earth is approximately:
A. 8 m/s²
B. 10 m/s²