Recent questions tagged gateme-2013

After several defeats in wars, Robert Bruce went in exile and wanted to commit suicide. Just before committing suicide, he came across a spider attempting tirelessly to h...

Choose the grammatically INCORRECT sentence:He is of Asian origin.They belonged to Africa.They belonged to Africa.They migrated from India to Australia.

The current erection cost of a structure is $Rs$. $13,200$. If the labour wages per day increase by $1/5$ of the current wages and the working hours decrease by $1/24$ of...

Find the sum of the expression$\dfrac{1}{\sqrt{1}+\sqrt{2}}+\dfrac{1}{\sqrt{2}+\sqrt{3}}+\dfrac{1}{\sqrt{3}+\sqrt{4}}+ \dots \dots +\dfrac{1}{\sqrt{80}+\sqrt{81}}$$7$$8$$...

Out of all the $2$-digit integers between $1$ and $100$, a $2$-digit number has to be selected at random. What is the probability that the selected number is not divisibl...

What will be the maximum sum of $44, 42, 40, \ldots \;?$$502$$504$$506$$500$

A single riveted lap joint of two similar plates as shown in the figure below has the following geometrical and material details.width of the plate w = $200$ $mm$, thickn...

A single riveted lap joint of two similar plates as shown in the figure below has the following geometrical and material details.width of the plate w = $200$ $mm$, thickn...

The value of the definite integral $\int_{1}^{e}\sqrt{x}\ln(x)dx$ is$\dfrac{4}{9}\sqrt{e^3}+\dfrac{2}{9} \\$$\dfrac{2}{9}\sqrt{e^3}-\dfrac{4}{9} \\$$\dfrac{2}{9}\sqrt{e^3...

The solution to the differential equation $\dfrac{d^2u}{dx^2}-k\dfrac{du}{dx}=0$ where $k$ is a constant, subjected to theboundary conditions $u(0)$ = $0$ and $u(L)$ = $...

The probability that a student knows the correct answer to a multiple choice question is $\dfrac{2}{3}$ . If the student does not know the answer, then the student guesse...

In a simple Brayton cycle, the pressure ratio is $8$ and temperatures at the entrance of compressor and turbine are $300$ $K$ and $1400$ $K$, respectively. Both compresso...

In orthogonal turning of a bar of $100$ $mm$ diameter with a feed of $0.25$ $mm$/$rev$, depth of cut of $4$ $mm$ and cutting velocity of $90$ $m$/$min$, it is observed th...

In orthogonal turning of a bar of $100$ $mm$ diameter with a feed of $0.25$ $mm$/$rev$, depth of cut of $4$ $mm$ and cutting velocity of $90$ $m$/$min$, it is observed th...

Water (specific heat, $c_p$ = $4.18$ $kJ$/$kgK$) enters a pipe at a rate of $0.01$ $kg$/$s$ and a temperature of $20^0$ $C$.Thepipe, of diameter $50$ $mm$ and length $3$ ...

Water (specific heat, $c_p$ = $4.18$ $kJ$/$kgK$) enters a pipe at a rate of $0.01 kg/s$ and a temperature of $20^ \circ C$.The pipe, of diameter $50$ $mm$ and length $3$ ...

The pressure, temperature and velocity of air flowing in a pipe are $5$ $bar$, $500$ $K$ and $50$ $m$/$s$, respectively. The specific heats of air at constant pressure an...

A linear programming problem is shown below.$\begin{array}{ll} \text{Maximize} & 3x + 7y \\ \text{Subject to} & 3x + 7y \leq 10 \\ & 4x + 6y \leq 8 \\ & x, y \geq 0 \end{...

A hinged gate of length $5$ $m$, inclined at $30^\circ$ with the horizontal and with water mass on its left, is shown in the figure below. Density of water is $1000$ $kg$...

Two large diffuse gray parallel plates, separated by a small distance, have surface temperatures of $400$ $K$ and $300$ $K$. If the emissivities of the surfaces are $0.8$...

A simply supported beam of length $L$ is subjected to a varying distributed load $\sin(3\pi x/L) Nm^{-1}$ , where the distance $x$ is measured from the left support. The ...

A bar is subjected to fluctuating tensile load from $20$ $kN$ to $100$ $kN$. The material has yield strength of $240$ $MPa$ and endurance limit in reversed bending is $16...

A single degree of freedom system having mass $1$ $kg$ and stiffness $10$ $kN/m$ initially at rest is subjected to an impulse force of magnitude $5$ $kN$ for $10^{-4}$ se...

During the electrochemical machining $(ECM)$ of iron (atomic weight $= 56$, valency $= 2$) at current of $1000$ $A$ with $90\%$ current efficiency, the material removal r...

Cylindrical pins of $25^{\begin{Bmatrix} +0.020\\ +0.010 \end{Bmatrix}$}$ $mm$ diameter are electroplated in a shop. Thickness of the plating is $30^{\pm 2.0}$ $micron$....

In a $CAD$ package, mirror image of a $2D$ point $P(5,10)$ is to be obtained about a line which passes through the origin and makes an angle of $45^{\circ}$ counterclockw...