Podcast
Questions and Answers
He did not manage to fix the car himself, so he _______ in the garage.
He did not manage to fix the car himself, so he _______ in the garage.
got it fixed
Match the following analogy: Planting : Seed : : Raising : _____
Match the following analogy: Planting : Seed : : Raising : _____
Child = By word meaning Temperature = By word meaning Height = By word meaning Lift = By word meaning
What is the percentage of higher education institutions that fall into Grade III?
What is the percentage of higher education institutions that fall into Grade III?
How many times do the minute-hand and second-hand of a clock cross each other?
How many times do the minute-hand and second-hand of a clock cross each other?
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What is the work done by the piston on the atmosphere during the process described?
What is the work done by the piston on the atmosphere during the process described?
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What is the view-factor $F_{S-S}$ for the given cylindrical rod inside a cubic enclosure?
What is the view-factor $F_{S-S}$ for the given cylindrical rod inside a cubic enclosure?
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What is the value of shear strain rate at the shear zone in the ideal orthogonal cutting experiment?
What is the value of shear strain rate at the shear zone in the ideal orthogonal cutting experiment?
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How many controllable locations can the table be positioned on the linear axis of the CNC machine?
How many controllable locations can the table be positioned on the linear axis of the CNC machine?
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Which statement regarding the stress and movement of bars P and Q after heating is correct?
Which statement regarding the stress and movement of bars P and Q after heating is correct?
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The elastic strain energy stored in the bar equals _________ J. (Rounded off to two decimal places)
The elastic strain energy stored in the bar equals _________ J. (Rounded off to two decimal places)
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The power transmitted by the shaft at this speed is _______ kW. (Rounded off to two decimal places)
The power transmitted by the shaft at this speed is _______ kW. (Rounded off to two decimal places)
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If the mass of gas-X in the container is 2 kg, then the mass of gas-Y in the container is ____ kg. (Rounded off to one decimal place)
If the mass of gas-X in the container is 2 kg, then the mass of gas-Y in the container is ____ kg. (Rounded off to one decimal place)
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The pressure at the location (2 m, 2 m) is _____________ kPa. (Answer in integer)
The pressure at the location (2 m, 2 m) is _____________ kPa. (Answer in integer)
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The value of 𝑢(2, 1) is ______________. (Rounded off to two decimal places)
The value of 𝑢(2, 1) is ______________. (Rounded off to two decimal places)
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The moment per unit width about the base of the hinge is ____________ kNm/m. (Rounded off to one decimal place)
The moment per unit width about the base of the hinge is ____________ kNm/m. (Rounded off to one decimal place)
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The value of exponent a is ___________. (Rounded off to one decimal place)
The value of exponent a is ___________. (Rounded off to one decimal place)
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The Nusselt number for this flow depends on
The Nusselt number for this flow depends on
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Which one of the combinations of [𝑄 H, 𝑄 L and 𝑊] given is allowed?
Which one of the combinations of [𝑄 H, 𝑄 L and 𝑊] given is allowed?
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Two surfaces P and Q are to be joined together. In which of the given joining operation(s), there is no melting of the two surfaces P and Q for creating the joint?
Two surfaces P and Q are to be joined together. In which of the given joining operation(s), there is no melting of the two surfaces P and Q for creating the joint?
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A beam is undergoing pure bending as shown in the figure. The stress (𝜎)-strain (𝜀) curve for the material is also given. The yield stress of the material is 𝜎𝑌. Which of the option(s) given represent(s) the bending stress distribution at cross-section AA after plastic yielding?
A beam is undergoing pure bending as shown in the figure. The stress (𝜎)-strain (𝜀) curve for the material is also given. The yield stress of the material is 𝜎𝑌. Which of the option(s) given represent(s) the bending stress distribution at cross-section AA after plastic yielding?
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In a metal casting process to manufacture parts, both patterns and moulds provide shape by dictating where the material should or should not go. Which of the option(s) given correctly describe(s) the mould and the pattern?
In a metal casting process to manufacture parts, both patterns and moulds provide shape by dictating where the material should or should not go. Which of the option(s) given correctly describe(s) the mould and the pattern?
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The principal stresses at a point P in a solid are 70 MPa, −70 MPa and 0. The yield stress of the material is 100 MPa. Which prediction(s) about material failure at P is/are CORRECT?
The principal stresses at a point P in a solid are 70 MPa, −70 MPa and 0. The yield stress of the material is 100 MPa. Which prediction(s) about material failure at P is/are CORRECT?
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Study Notes
General Aptitude
- Q.1: A passage about a person who couldn't fix a car and had to get it fixed in the garage.
- Q.2: Analogous relationship between "Planting" and "Seed", and "Raising" and ?
- Q.3: A pie chart problem about the percentage of higher education institutions in a certain country.
- Q.4: A clock problem about the number of times the minute-hand and second-hand cross each other.
- Q.5: A logic problem about symbols in a 2x2 grid.
Reasoning
- Q.6: A passage about Ravi, a hardworking and kind student, and his interests in sports.
- Q.7: Inequalities problem about the value of (p + q).
- Q.8: A coherent narrative problem about a sequence of sentences.
- Q.9: A combinatorics problem about the number of pairs of sets (S, T) that satisfy a condition.
- Q.10: A problem about the possible shadows of an opaque pyramid.
Mechanical Engineering
- Q.11: A probability problem about the number of defective components in a packed box.
- Q.12: A function identification problem about a plot of a function.
- Q.13: A problem about the Economic Order Quantity (EOQ) model.
- Q.14: A problem about the feasible region of a linear programming model.
- Q.15: A problem about the configurations of locating pins in a fixture.
- Q.16: A problem about the effective stiffness of a cantilever beam.
- Q.17: A problem about the rigidity of frames consisting of rigid bars connected by pin joints.
- Q.18: A problem about the endurance limit of a material from a fatigue test.
- Q.19: A problem about the wall shear stress in a flow of air over a flat plate.
- Q.20: A problem about the velocity and pressure of an isentropic flow of air through a duct.
- Q.21: A problem about the Nusselt number for incompressible laminar flow in an isothermal circular tube.
- Q.22: A problem about the allowed combinations of heat and work for a heat engine.
- Q.23: A problem about the joining operation that does not involve melting of the two surfaces.
- Q.24: A problem about the bending stress distribution at a cross-section of a beam.
- Q.25: A problem about the mould and pattern in a metal casting process.
- Q.26: A problem about the prediction of material failure at a point P.
- Q.27: A problem about the valid Mohr's circle representations of a plane stress state.
- Q.28: A problem about the steady-state temperature profile in a laterally insulated rod.
- Q.29: A problem about the number of teeth on the driver (gear 1) of two meshing spur gears.
- Q.30: A problem about the time taken by a block to complete ten oscillations.
- Q.31: A problem about the integral of a vector field over a conical region.
- Q.32: A problem about the area of the region obtained by a linear transformation.
- Q.33: A problem about the value of k that makes a complex-valued function analytic.
- Q.34: A problem about the ratio of the tensions in a belt in a braking system.
- Q.35: A problem about the actual heat transfer rate in a counter-flow heat exchanger.### Mechanical Engineering (ME)
Question 36-40
- Laplace transform and its inverse
- 𝑢(𝑡) denotes the unit-step function
- Options for inverse Laplace transform of 𝑠 3 − 𝑠
- Correct answer: (−1 + 𝑒 −𝑡 + 𝑒 𝑡 ) 𝑢(𝑡)
- A spherical ball dropped from a height of 4.9 m onto an immovable rigid block
- Momentum vector of the ball just after impact
- Take the acceleration due to gravity to be 𝑔 = 9.8 m/s 2
- Correct answer: 19.6 𝒊̂
- A wheel rolling without slipping on a horizontal plane with angular velocity 𝜔1
- Angular velocity 𝜔2 of the bar PQ
- Correct answer: 𝜔2 = 𝜔1
- A beam of length 𝐿 loaded in the 𝑥𝑦 −plane by a uniformly distributed load
- Bending moment distributions about the 𝑦 and the 𝑧 axes
- Correct answer: (Option not specified)
Question 41-45
- Ideal gas and real gas properties
- Enthalpy is independent of pressure
- Adiabatic reversible process equation: 𝑃𝑉 𝛾 = constant
- Correct answer: Any real gas behaves as an ideal gas at sufficiently low pressure or sufficiently high temperature
- Fully adiabatic piston-cylinder arrangement
- Air (considered as a perfect gas) inside the cylinder
- Work done by the piston on the atmosphere during the process
- Correct answer: 𝑃0 𝐴(𝐿2 − 𝐿1 )
- Cylindrical rod of length ℎ and diameter 𝑑 inside a cubic enclosure
- View-factor FS-S
- Correct answer: (𝜋𝑑ℎ + 𝜋𝑑2 /2) / 6𝐿2
Question 46-50
- Cylindrical bars P and Q with identical lengths and radii
- Young's modulus and coefficient of thermal expansion of Q are twice the corresponding values of P
- Stress in each bar is homogeneous and uniaxial
- Correct answer: σ1 < σ2
- Metal plate of thickness 𝑑 and thermal conductivity 𝑘 cooled by a stream of air
- Lumped parameter model used to study the heat transfer
- Correct answer: ℎ = 10 Wm-2K-1, k = 100 Wm-1K-1, 𝑑 = 1 mm, TP = 350 K
- Rectangle with area of 4 square units
- Smallest perimeter of the rectangle
- Correct answer: 4 units
Question 51-55
- Second-order linear ordinary differential equation
- 𝑑2𝑦 / 𝑑𝑥 2 + 𝑑𝑦 / 𝑑𝑥 − 𝑦 = 0, 𝑥 ≥ 1
- Initial conditions: 𝑦(𝑥 = 1) = 6, 𝑑𝑦 / 𝑑𝑥 | 𝑥=1 = 2
- Value of 𝑦 at 𝑥 = 2
- Correct answer: 13
- Initial value problem
- 𝑑𝑦 / 𝑑𝑡 + 2𝑦 = 0, 𝑦(0) = 1
- Forward Euler's method with a constant and positive time step of Δt
- Correct answer: Δt ≤ 1/2
Question 56-60
- Atomic radius of a hypothetical face-centered cubic (FCC) metal
- Density of the metal
- Correct answer: 8000 kg/m3
- Steel sample with 1.5 wt.% carbon
- Pro-eutectoid cementite content to the total cementite content
- Correct answer: 0.43
- Part produced in high volumes
- Dimension C inspection
- Correct answer: 35.5 mm
Question 61-65
- Coordinate measuring machine (CMM) used to determine the distance between Surface SP and Surface SQ
- Distance between the two fitted planes
- Correct answer: 5 mm
- Solid part of polymer material fabricated by additive manufacturing (AM)
- Time taken to fabricate the part
- Correct answer: 20 minutes
- Optical flat used to measure the height difference between a reference slip gauge A and a slip gauge B
- Height difference of the gauges
- Correct answer: 2.5 μm
- True stress (𝜎) – true strain (𝜀) variation of a material
- Engineering ultimate tensile strength value
- Correct answer: 420.7 MPa
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Description
A 5-question quiz on general aptitude for Mechanical Engineering students, covering topics such as grammar and word meaning. Suitable for IIT students.
