GATE ME 2016 Set 3
View Questions

## GATE ME

A real square matrix $$A$$ is called skew-symmetric if
View Question
The number of linear independent eigenvectors of matrix $$A = \left[ {\matrix{ 2 &amp; 1 &amp; 0 \cr 0 &amp; 2 & View Question$$\mathop {Lt}\limits_{x \to 0} {{{{\log }_e}\left( {1 + 4x} \right)} \over {{e^{3x}} - 1}}$$is equal to View Question$$\mathop {Lt}\limits_{x \to \infty } \left( {\sqrt {{x^2} + x - 1} - x} \right)$$is View Question The value of the line integral$$\,\,\oint\limits_C {\overrightarrow F .\overrightarrow r ds,\,\,\,} $$where$$C$$is a View Question Three cards were drawn from a pack of$$52$$cards. The probability that they are a king, a queen, and a jack is View Question The area (in percentage) under standard normal distribution curve of variable$$Z$$within limits from$$-3$$to$$+3$$View Question The root of the function$$f\left( x \right) = {x^3} + x - 1$$obtained after first iteration on application of Newton-R View Question Solutions of Laplace's equation having continuous second-order partial derivatives are called View Question A force$$F$$is acting on a bent bar which is clamped at one end as shown in the figure. The CORRECT free body diag View Question A circular disc of radius 100 mm and mass 1 kg, initially at rest at position A, rolls without slipping down a curved pa View Question A rigid rod$$(AB)$$of length$$L = \sqrt 2 $$m is undergoing translational as well as rotational motion in the$$ x-
View Question
An inextensible massless string goes over a frictionless pulley. Two weights of 100 N and 200 N are attached to the two
View Question
For a certain two-dimensional incompressible flow, velocity field is given by $$2xy\widehat i - {y^2}\widehat j.$$ The s
View Question
A channel of width $$450$$ $$mm$$ branches into two sub-channels having width $$300$$ $$mm$$ and $$200$$ $$mm$$ as shown
View Question
For a two-dimensional flow, the velocity field is $$\overrightarrow u = {x \over {{x^2} + {y^2}}}\widehat i + {y \over View Question The water jet exiting from a stationary tank through a circular opening of diameter$$300mm$$impinges on a rigid w View Question Consider a fully developed steady laminar flow of an incompressible fluid with viscosity$$\mu $$through a circular pip View Question Steady one-dimensional heat conduction takes place across the faces$$1$$and$$3$$of a composite slab consisting of sl View Question A cylindrical steel rod,$$0.01m$$in diameter and$$0.2m$$in length is first heated to$${750^ \circ }C$$an View Question Grashof number signifies the ratio of View Question Two large parallel plates having a gap of$$10mm$$in between them are maintained at temperatures$${T_1} = 1000\,\
View Question
For a heat exchanger, $$\Delta {T_{\max }}$$ is the maximum temperature difference and $$\Delta {T_{\min }}$$ is the min
View Question
In $$PERT$$ chart, the activity time distribution is
View Question
The demand for a two-wheeler was $$900$$ units and $$1030$$ units in April $$2015$$ and May $$2015,$$ respectively. The
View Question
A firm uses a turning center, a milling center and a grinding machine to produce two parts. The table below provides the
View Question
A bolted joint has four bolts arranged as shown in figure. The cross sectional area of each bolt is $$25\,m{m^2}.$$. A t
View Question
Which of the bearings given below SHOULD NOT be subjected to a thrust load?
View Question
Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum.
View Question
Engineering strain of a mild steel sample is recorded as $$0.100\% .$$ The true strain is
View Question
Spot welding of two steel sheets each $$2$$ $$mm$$ thick carried out successfully by passing $$4$$ $$kA$$ of current for
View Question
For an orthogonal cutting operation, tool material is $$HSS,$$ rake angle is $${22^ \circ },$$ chip thickness is $$0.8$$
View Question
In a single point turning operation with cemented carbide tool and steel work piece, it is found that the Taylor's expon
View Question
Internal gears are manufactured by
View Question
In a sheet metal of $$2$$ $$mm$$ thickness a hole of $$10$$ $$mm$$ diameter needs to be punched. The yield strength in t
View Question
Match the following part programming codes with their respective functions
View Question
Two optically flat plates of glass are kept at a small angle $$\theta$$ as shown in the figure. Monochromatic light is
View Question
A point $$P\left( {1,\,\,\,3,\,\,\, - 5} \right)$$ is translated by $$2\widehat i + 3\widehat j - 4\widehat k$$ and then
View Question
A square plate of dimension L $$\times$$ L is subjected to a uniform pressure load P = 250 MPa on its edges as shown i
View Question
The state of stress at a point on an element is shown in figure (a). The same state of stress is shownin another coordin
View Question
The cross-sections of two solid bars made of the same material are shown in the figure. The square cross-section has fle
View Question
Two circular shafts made of same material, one solid $$(S)$$ and one hollow $$(H)$$, have the same length and polar mome
View Question
A beam of length $$L$$ is carrying a uniformly distributed load $$w$$ per unit length. The flexural rigidity of the beam
View Question
A rigid link $$PQ$$ is undergoing plane motion as shown in the figure ($${V_P}$$ and $${V_Q}$$ are non-zero). $${V_{QP}} View Question The number of degrees of freedom in a planner mechanism having$$n$$links and$$j$$simple hinge joints is View Question The static deflection of a spring under gravity, when a mass of 1 kg is suspended from it, is 1 mm. Assume the accelerat View Question A single degree of freedom spring-mass system is subjected to a harmonic force of constant amplitude. For an excitation View Question The INCORRECT statement about the characteristics of critical point of a pure substance is that View Question Steam at an initial enthalpy of$$100kJ/kg$$and inlet velocity of$$100m/s, enters an insulated horizontal
View Question
The blade and fluid velocities for an axial turbine are as shown in the figure. The magnitude of absolute velocity at e
View Question
EXAM MAP
Medical
NEETAIIMS