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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 $$... A cylindrical steel rod,$$0.01m$$in diameter and$$0.2m$$in length ... Grashof number signifies the ratio of Two large parallel plates having a gap of$$10mm$$in between them are main... For a heat exchanger,$$\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 $${... In a single point turning operation with cemented carbide tool and steel work pi... Internal gears are manufactured by In a sheet metal of$$2mm$$thickness a hole of$$10mm$$diameter need... Match the following part programming codes with their respective functions <img... Two optically flat plates of glass are kept at a small angle$$\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$$links and ... The static deflection of a spring under gravity, when a mass of 1 kg is suspende... A single degree of freedom spring-mass system is subjected to a harmonic force o... The INCORRECT statement about the characteristics of critical point of a pure su... Steam at an initial enthalpy of$$100kJ/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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