While receiving the award, the scientist said, “I feel vindicated”. Which of the following is closest in meaning to the word 'vindicated'?

Which of the following options is the closest in meaning to the word underlined in the sentence below? In a democracy, everybody has the freedom to disagree with the government.

After the discussion, Tom said to me, 'Please revert!'. He expects me to ______.

Let f (x, y) = xⁿ y^m = P. If x is doubled and y is halved, the new value of f is

Find the next term in the sequence: 13M, 17Q, 19S, _____

Industrial consumption of power doubled from 2000-2001 to 2010-2011. Find the annual rate of increase in percent assuming it to be uniform over the years.

A five digit number is formed using the digits 1, 3, 5, 7 and 9 without repeating any of them. What is the sum of all such possible five digit numbers?

If 'KCLFTSB' stands for 'best of luck' and 'SHSWDG' stands for 'good wishes', which of the following indicates 'ace the exam'?

In a statically determinate plane truss, the number of joints (j) and the number of members (m)are related by

The solution of the initial value problem ^{$\frac{dy}{dx}$} = – 2xy ; y (0) = 2 is

Which one of the following is used to convert a rotational motion into a translational motion?

Laplace transform of cos (^{_{$\omega t$}}) is ^{$\frac{s}{s^2 + \omega^2}$}. The Laplace transform of e^–2t cos(4t) is

The value of the integral ^{$\int\limits_0^2$$\frac{(x-1)^2 sin (x-1)}{(x-1)^2 + cos(x-1)}dx$} is

A flow field which has only convective acceleration is

Kaplan water turbine is commonly used when the flow through its runner is

As the temperature increases, the thermal conductivity of a gas

Within the Heat Affected Zone (HAZ) in a fusion welding process, the work material undergoes

The total number of decision variables in the objective function of an assignment problem of size n ^_x n (n jobs and n machines) is

The principle of material removal in Electrochemical machining is

Moist air at 35^oC and 100% relative humidity is entering a psychrometric device and leaving at 25^oC and 100% relative humidity. The name of the device is

Better surface finish is obtained with a large rake angle because

Which one of the following equation is a correct identity for arbitrary 3 ^_x 3 real matrices P, Q and R?

In a rolling process, the maximum possible draft, defined as the difference between the initial and the final thickness of the metal sheet, mainly depends on which pair of the following parameters? P: Strain Q: Strength of the work material R: Roll diameter S: Roll velocity T: Coefficient of friction between roll and work

The number of accidents occurring in a plant in a month follows Poisson distribution with mean as 5.2. The probability of occurrence of less than 2 accidents in the plant during a randomly selected month is

If z is a complex variable, the value of ^{$\int\limits_6^{3i}$$\frac{dz}{z}$} is

Consider an ordinary differential equation ^{$\frac{dx}{dt}$} 4t + 4 =. if x = x₀ at t = 0, the increment in x calculated using Runge-Kutta fourth order multi-step method with a step size of ^$\triangle$t = 0.2 is

For the truss shown in the figure, the forces F₁ and F₂ are 9 kN and 3 kN, respectively. The force (in kN) in the member QS is

It is desired to avoid interference in a pair of spur gears having a 20⁰ pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion

The value of the integral ^{$\int\limits_0^2 \int\limits_0^x$} e^x+y dydx is

Match Group A with Group B:

Consider a velocity field V = K (yj + xk), where K is a constant. The vorticity, ^{_{$\Omega_z$}}, is

A frame is subjected to a load P as shown in the figure. The frame has a constant flexural rigidity EI. The effect of axial load is neglected. The deflection at point A due to the applied load P is

A wardrobe (mass 100 kg, height 4 m, width 2 m, depth 1 m), symmetric about the Y-axis, stands on a rough level floor as shown in the figure. A force P is applied at mid-height on the wardrobe so as to tip it about point Q without slipping. What are the minimum values of the force (in newton) and the static coefficient of friction ^_$\mu$ between the floor and the wardrobe, respectively?

Match the heat treatment processes (Group A) and their associated effects on properties (Group B) of medium carbon steel

Consider the following statements regarding streamline(s):

(i) It is a continuous lines such that the tangent at any point on it shows the velocity vector at the point. (ii) There is no flow across streamlines. (iii) ^{$\frac{dx}{u}$} = ^{$\frac{dv}{v}$} = ^{$\frac{dz}{w}$} is the differential equation of a streamline, where u, v and w velocities in directions x, y and z, respectively. (iv) In an unsteady flow, the path of a particle is a streamline.

Which one of the following combinations of the statements is true?

Two infinite parallel plates are placed at a certain distance apart. An infinite radiation shield is inserted between the plates without touching any of them to reduce heat exchange between the plates. Assume that the emissivities of plates and radiation shield are equal. The ratio of the net heat exchange between the plates with and without the shield is

A GO-No GO plug gauge is to be designed for measuring a hole of nominal diameter 25 mm with a hole tolerance of ^$\pm$ 0.015 mm. Considering 10% of work tolerence to be the gauge tolerance and no wear condition, the dimension (in mm) of the GO plug gauge as per the unilateral tolerance system is

The precedence relations and duration (in days) of activities of a project network are given in the table. The total flot (in days) of activities e and f, respectively, are