Recent questions tagged gateme-2026

Which one of the following options is NOT an error associated with STereoLithography (STL) file in additive manufacturing?Staircase effectMissing facetNon-manifold topolo...

A work piece is to be firmly held in a fixture. It is to be machined by using a plain slab milling cutter as shown in the figure below.Which one of the following options ...

A two-dimensional surface profile is obtained over a sampling length by using a contact type stylus profilometer as shown in the figure below. A line AA parallel to the g...

A steel plate having yield strength of $550$ MPa , is subjected to biaxial state of stress as $\sigma_{x}=\sigma$ and $\sigma_{y}=-2 \sigma$. Using distortion energy theo...

A sphere of radius $5$ mm is initially in equilibrium at $400^{\circ} \mathrm{C}$ in a furnace. It is suddenly removed from the furnace and dipped in a well-stirred water...

If $w=\log _{e} z=\log _{e}(x+i y)$, where $i=\sqrt{-1}$, then which one of the following statements is correct?$w$ is analytic everywhere except at $z=0$$w$ is non-analy...

Consider the following differential equation\[\frac{\partial y}{\partial x}=3 \frac{\partial y}{\partial t}+y\]If $y(x, 0)=10 e^{-2 x}$, then the solution of the differen...

Let $f(t)$ be a function of $t$ defined for all positive values of $t$. The Laplace transform of $f(t)$ denoted by $L\{f(t)\}=\int_{0}^{\infty} e^{-s t} f(t) d t$, provid...

A cantilever beam of length $L$ is subjected to a concentrated load $P$ and a moment $M$ as shown in the figure below. Neglecting the mass of the beam, which one of the f...

A $5$ kg mass is suspended at the free end of an overhanging massless beam, having a pin support and a roller support, as shown in the figure below. Young's modulus of th...

A very long fin of a uniform square cross-section is replaced by another very long fin of a uniform circular cross-section of the same material. Assume uniform and identi...

For an ideal regenerative Rankine cycle, as shown in the figure below, which one of the following options is the correct representation of temperature-entropy (T-s) diagr...

Consider the Euler variables of polyhedral objects namely, $\text{P1, P2, P3,}$ and $\text{P4}$ as given in the table below.\[\begin{array}{|c|c|c|c|c|c|c|}\hline\text{Po...

An objective function $Z$ of primal variables ( $x_{1}$ and $x_{2}$ ) is described below:\[\begin{array}{ll}\text { Minimize } Z= & 0.07 x_{1}+0.05 x_{2} \\\text { subjec...

Four jobs are on order in a factory. As on day $20$ of the production calendar, the corresponding due date and work remaining to complete these jobs (in days) are given i...

A block of $50$ kg mass is on an inclined plane. The block is connected to another hanging mass M by an inextensible massless string through two massless pulleys as shown...

A simply supported beam is subjected to an external point load P as shown in the figure below. The beam has a rectangular cross-section of $20 \mathrm{~mm} \times 45 \mat...

A rigid slender bar, AB, is sliding against two mutually perpendicular frictionless walls, as shown in the figure below. The velocity of A in the downward direction at a ...

A cylindrical pressure vessel made of steel has diameter of $3$ m and wall thickness of $15$ mm. For steel, Young's modulus and Poisson's ratio are $210$ GPa and $0.3$, r...

A welded square plate of $1 \mathrm{~m} \times 1 \mathrm{~m}$ is subjected to biaxial stress of magnitude $6.5$ MPa and $25$ MPa , as shown in the figure below. The ratio...

Water with a density of $1000 \mathrm{~kg} / \mathrm{m}^{3}$ comes out of an industrial condenser through a horizontal pipe of 15 cm radius at the flow rate of $4.5 \math...

Two rectangular surfaces both having $1 \mathrm{~m}^{2}$ area are placed perpendicular to each other with a common edge. One surface is hot, having a temperature of $1000...

Convective heat transfer coefficients for Fluid $1$ and Fluid $2$ in a heat exchanger, as shown in the figure below, are $50 \mathrm{~W} /\left(\mathrm{m}^{2} \mathrm{~K}...

A liquid comes out of the reactor of a chemical plant at $250^{\circ} \mathrm{C}$ temperature with a flow rate of $100$ LPM. The ambient temperature is $25^{\circ} \mathr...

A rigid closed vertical cylindrical vessel of $15$ cm diameter contains $5$ kg water at $80^{\circ} \mathrm{C}$ with $10 \%$ quality. The water is heated till its tempera...

An inward flow reaction turbine, having an outer diameter of $1$ m, runs at $600$ RPM. The normal component of absolute velocity at the inlet is $10 \mathrm{~m} / \mathrm...

In a deep drawing operation of a rectangular sheet metal, $30\%$ stretching in length results in $15\%$ reduction in thickness. Assuming volume constancy, the normal anis...

The actual demand for castings in a factory is $500$ units and $635$ units for the months of January $2026$ and February $2026$, respectively. The forecasted demand for J...