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GATE ME 2016 Set 3

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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GATE ME

A real square matrix $$A$$ is called skew-symmetric if
The number of linear independent eigenvectors of matrix $$A = \left[ {\matrix{ ...
$$\mathop {Lt}\limits_{x \to 0} {{{{\log }_e}\left( {1 + 4x} \right)} \over {{e^...
$$\mathop {Lt}\limits_{x \to \infty } \left( {\sqrt {{x^2} + x - 1} - x} \right...
The value of the line integral $$\,\,\oint\limits_C {\overrightarrow F .\overrig...
Three cards were drawn from a pack of $$52$$ cards. The probability that they ar...
The area (in percentage) under standard normal distribution curve of variable $$...
The root of the function $$f\left( x \right) = {x^3} + x - 1$$ obtained after fi...
Solutions of Laplace's equation having continuous second-order partial derivativ...
A force $$F$$ is acting on a bent bar which is clamped at one end as shown in th...
A circular disc of radius 100 mm and mass 1 kg, initially at rest at position A,...
A rigid rod $$(AB)$$ of length $$L = \sqrt 2 $$ m is undergoing translational a...
An inextensible massless string goes over a frictionless pulley. Two weights of ...
For a certain two-dimensional incompressible flow, velocity field is given by $$...
A channel of width $$450$$ $$mm$$ branches into two sub-channels having width $$...
For a two-dimensional flow, the velocity field is $$\overrightarrow u = {x \ove...
The water jet exiting from a stationary tank through a circular opening of diame...
Consider a fully developed steady laminar flow of an incompressible fluid with v...
Steady one-dimensional heat conduction takes place across the faces $$1$$ and $$...
A cylindrical steel rod, $$0.01$$ $$m$$ in diameter and $$0.2$$ $$m$$ in length ...
Grashof number signifies the ratio of
Two large parallel plates having a gap of $$10$$ $$mm$$ in between them are main...
For a heat exchanger, $$\Delta {T_{\max }}$$ is the maximum temperature differen...
In $$PERT$$ chart, the activity time distribution is
The demand for a two-wheeler was $$900$$ units and $$1030$$ units in April $$201...
A firm uses a turning center, a milling center and a grinding machine to produce...
A bolted joint has four bolts arranged as shown in figure. The cross sectional a...
Which of the bearings given below SHOULD NOT be subjected to a thrust load?
Equal amounts of a liquid metal at the same temperature are poured into three mo...
Engineering strain of a mild steel sample is recorded as $$0.100\% .$$ The true ...
Spot welding of two steel sheets each $$2$$ $$mm$$ thick carried out successfull...
For an orthogonal cutting operation, tool material is $$HSS,$$ rake angle is $${...
In a single point turning operation with cemented carbide tool and steel work pi...
Internal gears are manufactured by
In a sheet metal of $$2$$ $$mm$$ thickness a hole of $$10$$ $$mm$$ diameter need...
Match the following part programming codes with their respective functions <img...
Two optically flat plates of glass are kept at a small angle $$\theta $$ as show...
A point $$P\left( {1,\,\,\,3,\,\,\, - 5} \right)$$ is translated by $$2\widehat ...
A square plate of dimension L $$ \times $$ L is subjected to a uniform pressure ...
The state of stress at a point on an element is shown in figure (a). The same st...
The cross-sections of two solid bars made of the same material are shown in the ...
Two circular shafts made of same material, one solid $$(S)$$ and one hollow $$(H...
A beam of length $$L$$ is carrying a uniformly distributed load $$w$$ per unit l...
A rigid link $$PQ$$ is undergoing plane motion as shown in the figure ($${V_P}$$...
The number of degrees of freedom in a planner mechanism having $$n$$ links and $...
The static deflection of a spring under gravity, when a mass of 1 kg is suspende...
A single degree of freedom spring-mass system is subjected to a harmonic force o...
The INCORRECT statement about the characteristics of critical point of a pure su...
Steam at an initial enthalpy of $$100$$ $$kJ/kg$$ and inlet velocity of $$100$$ ...
The blade and fluid velocities for an axial turbine are as shown in the figure. ...

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