A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box

The figure shows the plot of a function over the interval [-4, 4]. Which one of the options given CORRECTLY identifies t

A vector field 𝐁(𝑥, 𝑦, 𝑧) = 𝑥 𝑖̂ + 𝑦 ĵ − 2𝑧 k̂ is defined over a conical region having height ℎ = 2, base rad

A linear transformation maps a point (𝑥, 𝑦) in the plane to the point (𝑥̂, 𝑦̂) according to the rule 𝑥̂ = 3𝑦, 𝑦̂

The value of k that makes the complex-valued function 𝑓(𝑧) = 𝑒−𝑘𝑥 (cos 2𝑦 − 𝑖 sin 2𝑦) analytic, where 𝑧

Which one of the options given is the inverse Laplace transform of $\rm \frac{1}{s^3-s}$? 𝑢(𝑡) denotes the unit-s

The smallest perimeter that a rectangle with area of 4 square units can have is ______ units. (Answer in integer)

Consider the second-order linear ordinary differential equation $\rm x^2\frac{d^2y}{dx^2}+x\frac{dy}{dx}-y=0, x\ge1$ w

The initial value problem $\rm \frac{dy}{dt}+2y=0, y(0)=1$ is solved numerically using the forward Euler’s method with

The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid? 

A spherical ball weighing 2 kg is dropped from a height of 4.9 m onto an immovable rigid block as shown in the figure. I

Air (density = 1.2 kg/m3, kinematic viscosity = 1.5 × 10-5 m2/s) flows over a flat plate with a free-stream velocity of

Consider an isentropic flow of air (ratio of specific heats = 1.4) through a duct as shown in the figure. The variation

The velocity field of a certain two-dimensional flow is given by V(𝑥, 𝑦) = 𝑘(𝑥𝑖̂ − 𝑦𝑗̂) where 𝑘 = 2 s-1. The c

Consider a unidirectional fluid flow with the velocity field given by V(𝑥, 𝑦, 𝑧, 𝑡) = 𝑢(𝑥, 𝑡) 𝑖̂ where 𝑢(0,𝑡

The figure shows two fluids held by a hinged gate. The atmospheric pressure is Pa = 100 kPa. The moment per unit width a

An explosion at time t = 0 releases energy 𝐸 at the origin in a space filled with a gas of density ρ. Subsequently

Consider incompressible laminar flow of a constant property Newtonian fluid in an isothermal circular tube. The flow is

Consider a laterally insulated rod of length L and constant thermal conductivity. Assuming one-dimensional heat conducti

Consider a counter-flow heat exchanger with the inlet temperatures of two fluids (1 and 2) being T1, in = 300 K and T2,

A cylindrical rod of length ℎ and diameter 𝑑 is placed inside a cubic enclosure of side length 𝐿. 𝑆 denotes the inner

A very large metal plate of thickness 𝑑 and thermal conductivity 𝑘 is cooled by a stream of air at temperature 𝑇∞&nbs

With reference to the Economic Order Quantity (EOQ) model, which one of the options given is correct? 

Which one of the options given represents the feasible region of the linear programming model: 𝑀𝑎𝑥𝑖𝑚𝑖𝑧𝑒 45𝑋1 +

A solid part (see figure) of polymer material is to be fabricated by additive manufacturing (AM) in square-shaped layers

The S-N curve from a fatigue test for steel is shown. Which one of the options gives the endurance limit?

The braking system shown in the figure uses a belt to slow down a pulley rotating in the clockwise direction by the appl

Two surfaces P and Q are to be joined together. In which of the given joining operation(s), there is no melting of the t

In a metal casting process to manufacture parts, both patterns and moulds provide shape by dictating where the material

In an ideal orthogonal cutting experiment (see figure), the cutting speed V is 1 m/s, the rake angle of the tool α = 5°,

A CNC machine has one of its linear positioning axes as shown in the figure, consisting of a motor rotating a lead screw

The atomic radius of a hypothetical face-centered cubic (FCC) metal is (√2/10) nm. The atomic weight of the metal is 24.

A steel sample with 1.5 wt.% carbon (no other alloying elements present) is slowly cooled from 1100 °C to just below the

A part, produced in high volumes, is dimensioned as shown. The machining process making this part is known to be statist

A coordinate measuring machine (CMM) is used to determine the distance between Surface SP and Surface SQ of an approxima

An optical flat is used to measure the height difference between a reference slip gauge A and a slip gauge B. Upon viewi

The effective stiffness of a cantilever beam of length L and flexural rigidity EI subjected to a transverse tip load W i

A beam is undergoing pure bending as shown in the figure. The stress (𝜎)-strain (𝜀) curve for the material is also giv

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. W

Which of the plot(s) shown is/are valid Mohr’s circle representations of a plane stress state in a material? (The center

A beam of length 𝐿 is loaded in the 𝑥𝑦 −plane by a uniformly distributed load, and by a concentrated tip load paralle

The figure shows a thin-walled open-top cylindrical vessel of radius 𝑟 and wall thickness 𝑡. The vessel is held along

Cylindrical bars P and Q have identical lengths and radii, but are composed of different linear elastic materials. The Y

Ignoring the small elastic region, the true stress (𝜎) – true strain (𝜀) variation of a material beyond yielding follo

The area moment of inertia about the y-axis of a linearly tapered section shown in the figure is _____________ m4 . (An

A cylindrical bar has a length 𝐿 = 5 𝑚 and cross section area 𝑆 = 10 𝑚2 . The bar is made of a linear elastic materi

A cylindrical transmission shaft of length 1.5 m and diameter 100 mm is made of a linear elastic material with a shear m

A cuboidal part has to be accurately positioned first, arresting six degrees of freedom and then clamped in a fixture, t

Two meshing spur gears 1 and 2 with diametral pitch of 8 teeth per mm and an angular velocity ratio |ω2 |/|ω1 

The figure shows a block of mass m = 20 kg attached to a pair of identical linear springs, each having a spring constant

The figure shows a wheel rolling without slipping on a horizontal plane with angular velocity 𝜔1. A rigid bar PQ is pin

A heat engine extracts heat (𝑄H) from a thermal reservoir at a temperature of 1000 K and rejects heat (𝑄L) to a therma

Which one of the following statements is FALSE?

Consider a fully adiabatic piston-cylinder arrangement as shown in the figure. The piston is massless and cross-sectiona

Consider a mixture of two ideal gases, X and Y, with molar masses M̅X = 10 kg/kmol and M̅Y = 20 kg/kmol, respectively, i

He did not manage to fix the car himself, so he _______ in the garage.

Planting : Seed :: Raising : _____ (By word meaning) 

A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in

The minute-hand and second-hand of a clock cross each other _______ times between 09:15:00 AM and 09:45:00 AM on a day.&

The symbols O$, *, \Delta$, and $\square$ are to be filled, one in each box, as shown below. The rules for filling in t

In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardwo

Consider the following inequalities 𝑝2 − 4𝑞 < 4 3𝑝 + 2𝑞 < 6 where 𝑝 and 𝑞 are positive integers. The val

Which one of the sentence sequences in the given options creates a coherent narrative? (i) I could not bring myself to

How many pairs of sets (S,T) are possible among the subsets of {1, 2, 3, 4, 5, 6} that satisfy the condition that S is a

An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of