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Quizzes > Science

Engineering Aptitude Test: 15 Questions on Mechanics and Circuits

Quick, free aptitude test for engineers. Instant feedback and explanations.

Editorial: Review CompletedCreated By: Surya SchneidersUpdated Aug 28, 2025
Difficulty: Moderate
Questions: 20
Learning OutcomesStudy Material
Colorful paper art depicting elements related to an Engineering Aptitude Test quiz

This engineering aptitude test helps you check skills in mechanics, dynamics, and basic circuits with 15 multiple-choice questions and clear explanations. Use it to spot gaps before exams or job screens, then reinforce with a mechanical aptitude test and a deeper mechanical engineering quiz. For broader review, try engineering quiz questions to cover more topics.

In static equilibrium for a rigid body, the sum of all external forces equals:
Momentum change
Acceleration
Zero
Mass
In static equilibrium, there is no net force on the body so the algebraic sum of all external forces must be zero. This ensures the body does not accelerate.
In a series electrical circuit with two resistors, the current through each resistor is:
Zero
The same
Depends on resistance
Different
In a series circuit, charge flows through each component sequentially so the current is identical in all series elements. Resistance affects voltage drop but not current continuity.
Young's modulus of a material represents:
The plastic deformation region
The energy absorption capacity
The ratio of stress to elastic strain
Maximum stress before fracture
Young's modulus is defined as stress divided by strain in the linear elastic region of a material's stress - strain curve. It quantifies stiffness under elastic deformation.
On a force versus displacement graph for a linear spring, the slope of the line represents:
Damping coefficient
Spring constant
Potential energy
Displacement
Hooke's law states F = kx, so plotting force against displacement gives a straight line whose slope is k, the spring constant. The steeper the slope, the stiffer the spring.
If an exam allocates 20 questions over 60 minutes, the average time per question is:
3 minutes
4 minutes
2 minutes
5 minutes
Dividing the total time (60 minutes) by the number of questions (20) yields 3 minutes per question on average. Allocating time evenly helps ensure completion.
A force of 15 N is applied at the end of a 0.5 m lever arm. The moment about the pivot is:
0.75 N·m
15 N·m
7.5 N·m
30 N·m
Moment is calculated as force times perpendicular lever arm distance: M = F - L = 15 N - 0.5 m = 7.5 N·m. This quantifies the turning effect at the pivot.
If the current through a resistor doubles, by what factor does the power dissipated increase?
Six times
Two times
Four times
Eight times
Electrical power in a resistor is P = I²R. Doubling current (I ' 2I) yields P = (2I)²R = 4I²R, so power increases by a factor of four.
For a cantilever beam of length L with a uniformly distributed load w per unit length, the reaction moment at the fixed support is:
wL²/2
wL²/8
wL²
wL²/4
The total load on the cantilever is wL acting at L/2 from the support, so the moment is M = wL - (L/2) = wL²/2. This moment must be resisted at the fixed end.
What does the safety factor of a component represent?
Ratio of operational load to failure load
Maximum allowable stress
Material toughness
Ratio of failure load to operational load
Safety factor is defined as the ratio between the load at which a component fails and the maximum expected operational load. It indicates the built-in margin against failure.
Two resistors of 6 Ω and 3 Ω are connected in parallel. The equivalent resistance is:
4.5 Ω
1.5 Ω
9 Ω
2 Ω
Parallel resistance is given by 1/R_eq = 1/R₝ + 1/R₂ = 1/6 + 1/3 = 1/6 + 2/6 = 3/6. Thus R_eq = 6/3 = 2 Ω.
Which material behavior is characteristic of a brittle material under stress?
Large plastic deformation
High ductility before failure
Sudden fracture with little deformation
Significant necking
Brittle materials fracture abruptly without significant plastic deformation or warning. They absorb little energy before failure.
What is the primary purpose of a free-body diagram in statics?
To determine material properties
To isolate a body and represent all external forces
To calculate energy
To measure displacement
A free-body diagram isolates the object and shows all external forces and moments acting on it. This clarity is crucial for writing equilibrium equations.
According to Kirchhoff's Voltage Law (KVL), the algebraic sum of voltages around any closed loop equals:
Zero
Supply voltage
Total current
Total resistance
KVL states that the sum of all voltage rises and drops around a closed circuit loop is zero. This is a consequence of energy conservation.
The yield strength of a material is defined as the stress at which:
Ultimate tensile strength is reached
Hardness is maximum
Elastic deformation ends and plastic deformation begins
Fracture occurs
Yield strength marks the transition from elastic to plastic behavior on a stress - strain curve. Beyond this stress, permanent deformation occurs.
The second moment of area for a rectangle of width b and height h about its horizontal centroidal axis is:
h*b^3/12
b*h/6
b*h^3/12
b^3*h/12
For a rectangle, the moment of inertia about its horizontal centroidal axis is I = b·h³/12. The h³ term reflects sensitivity to vertical dimension.
The maximum deflection δ at the free end of a cantilever beam of length L, with uniform load w per unit length, elastic modulus E, and moment of inertia I, is:
wL^4/(48EI)
wL^4/(8EI)
wL^4/(2EI)
wL^4/(24EI)
The deflection formula for a cantilever under uniform load is δ = wL❴/(8EI). This arises from integrating the bending moment equation twice and applying boundary conditions.
A balanced three-phase system has a line-to-line voltage of 400 V and line current of 10 A with a power factor of 0.8. The total real power consumed is:
6.93 kW
11.04 kW
13.86 kW
5.54 kW
Total real power in a balanced three-phase system is P = √3·V_LL·I_L·cosφ = 1.732-400-10-0.8 ≈ 5.54 kW. This formula accounts for line-to-line voltage and power factor.
Determine the equivalent resistance of the network: R1 = 10 Ω and R2 = 20 Ω in series, in parallel with R3 = 30 Ω.
20 Ω
10 Ω
15 Ω
30 Ω
First combine R1 and R2 in series: 10 Ω + 20 Ω = 30 Ω. Then the parallel of 30 Ω with 30 Ω gives 1/R_eq = 1/30 + 1/30 = 2/30, so R_eq = 15 Ω.
Using Euler's formula for a pinned-pinned column, the critical buckling load P_cr for a column of length L, Young's modulus E, and moment of inertia I is:
π^2 EI/(L^2)
π EI/(2L)
2π EI/L
4π^2 EI/L
Euler's buckling formula for pinned ends is P_cr = π²EI/L². It predicts the axial load at which a slender column will buckle elastically.
The maximum deflection at the center of a simply supported beam of length L subject to a central point load P is:
PL^3/(16EI)
PL^3/(48EI)
PL^3/(96EI)
PL^3/(12EI)
For a simply supported beam with a center point load, the maximum deflection is δ = PL³/(48EI). This is derived from integrating the bending moment diagram.
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Learning Outcomes

  1. Analyse engineering scenarios to solve technical problems.
  2. Evaluate mechanical and electrical concepts in practical contexts.
  3. Identify key principles in statics, dynamics, and materials science.
  4. Apply quantitative reasoning to calculate forces, moments, and circuits.
  5. Demonstrate proficiency in interpreting engineering diagrams and data.
  6. Master time-management strategies for aptitude test success.

Cheat Sheet

  1. Fundamental Mechanical Reasoning Formulas - Unleash your inner engineer by digging into volume calculations like V = πr²h and leverage principles with Weight × Distance₝ = Force × Distance₂. These formulas are your passport to solving cool real-world puzzles involving structures and forces. Practice them on mechanicalaptitudetest.org to see how theory jumps off the page!
  2. Key Algebraic Formulas - Tackle sequences with confidence using the sum of the first n natural numbers, n(n+1)/2, and terms of arithmetic progressions. Crunch numbers and spot patterns, then feel clever when you decode engineering sequences in a flash. Dive deeper on edurev.in for extra examples that make algebra fun!
  3. Statics and Dynamics Principles - Become a motion maestro by mastering Newton's Laws of Motion and their engineering applications. From stationary beams to speeding rockets, you'll know how forces interact and why objects move (or stay still!). Check out practical scenarios on Naukri to see Newton in action.
  4. Equations of Equilibrium - Keep structures standing tall by calculating forces and moments using equilibrium equations. Balance loads like a tightrope walker balances on a wire, ensuring everything stays upright and stable. Test your stability skills with more problems on Naukri!
  5. Basics of Materials Science - Peek into the world of stress - strain curves and material properties to pick the perfect material for any bouncy bridge or sturdy skyscraper. Learn how different materials stretch, bend, and break in fun lab-like examples. Explore more case studies on Naukri to flex your materials muscle!
  6. Interpreting Engineering Diagrams - Sharpen your visual superpowers with free-body diagrams, circuit schematics, and more. These diagrams are like treasure maps guiding you to hidden forces and currents. Boost your x-ray vision with interactive practice on Naukri's site!
  7. Electrical Circuit Mastery - Zap through circuit problems using Ohm's Law (V = IR) and Kirchhoff's Laws like a true electric explorer. Decode every current and voltage drop to design gadgets that glow, buzz, or even dance. Plug into more quizzes on Naukri to light up your skills!
  8. Quantitative Reasoning and Unit Conversions - Become the unit whisperer by mastering conversions and dimensional analysis. No more mixing inches with meters or minutes with hours - you'll nail it every time. Level up with tricky unit puzzles on Naukri and watch your accuracy soar!
  9. Work, Energy, and Power Concepts - Explore how work, energy, and power play together to move mountains (or small toy cars). Calculate energy transfers and efficiency like a pro, and marvel at how machines make life easier. Try energy-themed brainteasers on Naukri to power up your knowledge!
  10. Time-Management Strategies for Tests - Race against the clock with timed quizzes, target practice on weak spots, and strategic skipping of tough questions. Turn exam stress into a high-score game by pacing yourself smartly. Practice with Naukri's timed mock tests to conquer your next check!
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