F(t) is a periodic square wave function as shown. It takes only two values, 4 and 0, and stays at each of these values f

Consider a cube of unit edge length and sides parallel to co-ordinate axes, with its centroid at the point (1, 2, 3). Th

Consider the definite integral $\int^2_1(4x^2+2x+6)dx$ Let Ie be the exact value of the integral. If the same int

Given $\int^{\infty}_{-\infty}e^{-x^2}dx=\sqrt{\pi}$ If a and b are positive integers, the value of $\int^{\i

A polynomial ψ(s) = ansn + an-1sn-1 + ......+ a1s + a0 of degree n > 3 with constant real co

For the exact differential equation, $\frac{du}{dx}=\frac{-xu^2}{2+x^2u}$ which one of the following is the solution?

A is a 3 × 5 real matrix of rank 2. For the set of homogeneous equations Ax = 0, where 0 is a zero vector and x is

If the sum and product of eigenvalues of a 2 × 2 real matrix $\begin{bmatrix}3&p\\\ p&q\end{bmatrix} $

Given z = x +iy, i = √-1 C is a circle of radius 2 with the centre at the origin. If the contour C is traversed anticloc

A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft

Match the additive manufacturing technique in Column I with its corresponding input material in Column II.

A square plate is supported in four different ways (configurations (P) to (S) as shown in the figure). A couple moment C

A rope with two mass-less platforms at its two ends passes over a fixed pulley as shown in the figure. Discs with narrow

A rigid homogeneous uniform block of mass 1 kg, height h = 0.4 m and width b = 0.3 m is pinned at one corner and placed

A rigid body in the X-Y plane consists of two point masses (1 kg each) attached to the ends of two massless rods, each o

A rigid beam AD of length 3a = 6 m is hinged at frictionless pin joint A and supported by two strings as shown in the fi

The lengths of members BC and CE in the frame shown in the figure are equal. All the members are rigid and lightweight,

Consider a steady flow through a horizontal divergent channel, as shown in the figure, with the supersonic flow at the i

The velocity field in a fluid is given to be $\vec{V}=(4xy)\hat{i}+2(x^2-y^2)\hat{j}$ Which of the following statem

A tube of uniform diameter D is immersed in a steady flowing inviscid liquid stream of velocity V, as shown in the figur

The steady velocity field in an inviscid fluid of density 1.5 is given to be $\vec{V}=(y^2-x^2)\hat{i}+(2xy)\hat{j} $. N

A uniform wooden rod (specific gravity = 0.6, diameter = 4 cm and length = 8 m) is immersed in the water and is hinged w

Which of the following non-dimensional terms is an estimate of Nusselt number?

Wien’s law is stated as follows: λmT = C, where C is 2898 μm.K and λm is the wavelength at which the emissive power

Consider steady state, one-dimensional heat conduction in an infinite slab of thickness 2L (L = 1 m) as shown in the fig

Saturated vapor at 200 °C condenses to saturated liquid at the rate of 150 kg/s on the shell side of a heat exchanger (e

Consider a hydrodynamically and thermally fully-developed, steady fluid flow of 1 kg/s in a uniformly heated pipe with d

An electric car manufacturer underestimated the January sales of car by 20 units, while the actual sales was 120 units.

The demand of a certain part is 1000 parts/year and its cost is Rs. 1000/part. The orders are placed based on the econom

Parts P1 - P7 are machined first on a milling machine and then polished at a separate machine. Using the information in

A project consists of five activities (A, B, C, D and E). The duration of each activity follows beta distribution. The t

A manufacturing unit produces two products Pl and P2. For each piece of P1 and P2, the table below provides quantities o

Which one of the following CANNOT impart linear motion in a CNC machine?

A shaft AC rotating at a constant speed carries a thin pulley of radius r = 0.4 m at the end C which drives a belt. A mo

Fluidity of a molten alloy during sand casting depends on its solidification range. The phase diagram of a hypothetical

A shaft of diameter $25^{-0.04}_{-0.07}$ mm is assembled in a hole of diameter $25^{+0.02}_{-0.00}$&

Consider sand casting of a cube of edge length a. A cylindrical riser is placed at the top of the casting. Assume solidi

Which of these processes involve(s) melting in metallic workpieces?

A straight-teeth horizontal slab milling cutter is shown in the figure. It has 4 teeth and diameter (D) of 200 mm. The r

In an orthogonal machining operation, the cutting and thrust forces are equal in magnitude. The uncut chip thickness is

The best size wire is fitted in a groove of a metric screw such that the wire touches the flanks of the thread on the pi

In a direct current arc welding process, the power source has an open circuit voltage of 100 V and short circuit current

A cylindrical billet of 100 mm diameter and 100 mm length is extruded by a direct extrusion process to produce a bar of

Which one of the following is the definition of ultimate tensile strength (UTS) obtained from a stress-strain test on a

A structural member under loading has a uniform state of plane stress which in usual notations is given by σx 

A linear elastic structure under plane stress conditions is subjected to two sets of loading, I and II. The resulting st

A shaft of length L is made of two materials, one in the inner core and the other in the outer rim, and the two are perf

For a dynamical system governed by the equation, $\ddot{x}(t)+2 ζ \omega_n \dot{x}(t)+\omega_n^2x(t)=0$ the damping ra

A spring mass damper system (mass m, stiffness k, and damping coefficient c) excited by a force F(t) = B sin ωt, where B

In the configuration of the planar four-bar mechanism at a certain instant as shown in the figure, the angular velocity

Which one of the following is an intensive property of a thermodynamic system?

Consider 1 kg of an ideal gas at 1 bar and 300 K contained in a rigid and perfectly insulated container. The specific he

In a vapour compression refrigeration cycle, the refrigerant enters the compressor in saturated vapour state at evaporat

A rigid tank of volume of 8 m3 is being filled up with air from a pipeline connected through a valve. Initially the valv

At steady state, 500 kg/s of steam enters a turbine with specific enthalpy equal to 3500 kJ/kg and specific entropy equa

Direction: Fill in the blank spaces in the given sentence selecting an appropriate set of words from the following optio

Which one of the following is a representation (not to scale and in bold) of all values of x satisfying the inequality&n

If $f(x)=2\ln(\sqrt{e^x})$, what is the area bounded by f(x) for the interval [0, 2] on the x-axis?

A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct

Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once w

Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not

For the past m days, the average daily production at a company was 100 units per day. If today’s production of 180 unit

Consider the following functions for non-zero positive integers, p and q. $\rm f(p,q)=\frac{p\times p\times p\times....

Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two c

Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, ar