Questions by piyag476

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GATE ME 2013 | Question: 65
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 have its net. Time and again, the spider failed but that did not deter it ... pillar of success. Honesty is the best policy. Life begins and ends with adventures. No adversity justifies giving up hope.

asked in Verbal Aptitude Feb 19, 2017

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GATE ME 2013 | Question: 64
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 the current period, then the new cost of erection in $Rs$. is $16,500$ $15,180$ $11,000$ $10,120$

asked in Quantitative Aptitude Feb 19, 2017

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GATE ME 2013 | Question: 63
Find the sum of the expression $\dfrac{1}{\sqrt{1}+\sqrt{2}}+\dfrac{1}{\sqrt{2}+\sqrt{3}}+\dfrac{1}{\sqrt{3}+\sqrt{4}}+ \dots \dots +\dfrac{1}{\sqrt{80}+\sqrt{81}}$ $7$ $8$ $9$ $10$

asked in Quantitative Aptitude Feb 19, 2017

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GATE ME 2013 | Question: 62
A tourist covers half of his journey by train at $60$ $km$/$h$, half of the remainder by bus at $30$ $km$/$h$ and the rest by cycle at $10$ $km$/$h$. The average speed of the tourist in $km$/$h$ during his entire journey is $36$ $30$ $24$ $18$

asked in Quantitative Aptitude Feb 19, 2017

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GATE ME 2013 | Question: 61
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 divisible by $7$? $13/90$ $12/90$ $78/90$ $77/90$

asked in Quantitative Aptitude Feb 19, 2017

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GATE ME 2013 | Question: 60
What will be the maximum sum of $44, 42, 40, \ldots \;?$ $502$ $504$ $506$ $500$

asked in Analytical Aptitude Feb 19, 2017

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GATE ME 2013 | Question: 59
Choose the grammatically INCORRECT sentence: He is of Asian origin. They belonged to Africa. They belonged to Africa. They migrated from India to Australia.

asked in Verbal Aptitude Feb 19, 2017

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GATE ME 2013 | Question: 58
Which one of the following options is the closest in meaning to the word given below? Nadir Highest Lowest Medium Integration

asked in Verbal Aptitude Feb 19, 2017

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GATE ME 2013 | Question: 57
Were you a bird, you ___________________ in the sky. would fly shall fly should fly shall have flown

asked in Verbal Aptitude Feb 19, 2017

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GATE ME 2013 | Question: 56
Complete the sentence: Universalism is to particularism as diffuseness is to _______________. specificity neutrality generality adaptation

asked in Verbal Aptitude Feb 19, 2017

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GATE ME 2013 | Question: 55
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 compressor and gas turbine have isentropic efficiencies equal to $0.8$. For the gas, assume a ... and potential energies. The thermal efficiency of the cycle in percentage (%) is $24.8$ $38.6$ $44.8$ $53.1$

asked in Applications Feb 19, 2017

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GATE ME 2013 | Question: 54
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 compressor and gas turbine have isentropic efficiencies equal to $0.8$. For the gas, assume a constant value ... power required by the compressor in $kW$/$kg$ of gas flow rate is $194.7$ $243.4$ $304.3$ $378.5$

asked in Others Feb 19, 2017

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GATE ME 2013 | Question: 53
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 that the main (tangential) cutting force is perpendicular to the friction force ... ) cutting force is $1500$ $N$. The normal force acting at the chip-tool interface in $N$ is $1000$ $1500$ $2000$ $2500$

asked in Materials, Manufacturing and Industrial Engineering Feb 19, 2017

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GATE ME 2013 | Question: 52
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 that the main (tangential) cutting force is perpendicular to the friction ... tangential) cutting force is $1500$ $N$. The orthogonal rake angle of the cutting tool in degree is zero $3.58$ $5$ $7.16$

asked in Materials, Manufacturing and Industrial Engineering Feb 19, 2017

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GATE ME 2013 | Question: 51
Water (specific heat, $c_p$ = $4.18$ $kJ$/$kgK$) enters a pipe at a rate of $0.01$ $kg$/$s$ and a temperature of $20^0$ $C$.The pipe, of diameter $50$ $mm$ and length $3$ $m$, is subjected to a wall heat flux ${q_{w}}''$ in $W$/$m^2$: If $W$ ... 1000$ $W$/$m^2$K$, the temperature in $_{}^{0}\textrm{C}$ at the inner surface of the pipe at the outlet is $71$ $76$ $79$ $81$

asked in Heat Transfer Feb 19, 2017

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GATE ME 2013 | Question: 50
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 $3$ $m$, is subjected to a wall heat flux ${q_{w}}''$ in $W$/$m^2$: If ... flow ($x = 0$ at the inlet), the bulk mean temperature of the water leaving the pipe in $^\circ \textrm{C}$ is $42$ $62$ $74$ $104$

asked in Heat Transfer Feb 19, 2017

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GATE ME 2013 | Question: 49
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 = $200$ $mm$, thickness of the plate $t$ = $5$ $mm$, number of rivets $n$ = $3$, diameter of the ... plates are to be designed to avoid tearing failure, the maximum permissible load $P$ in $kN$ is $83$ $125$ $167$ $501$

asked in Applied Mechanics and Design Feb 19, 2017

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GATE ME 2013 | Question: 48
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 = $200$ $mm$, thickness of the plate $t$ = $5$ $mm$, number of rivets $n$ = $3$, diameter of the rivet ... be designed to avoid crushing failure, the maximum permissible load $P$ in $kN$ is $7.50$ $15.00$ $22.50$ $30.00$

asked in Applied Mechanics and Design Feb 19, 2017

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GATE ME 2013 | Question: 47
The value of the definite integral $\int_{1}^{e}\sqrt{x}\ln(x)dx$ is $\dfrac{4}{9}\sqrt{e^3}+\dfrac{2}{9} \\$ $\dfrac{2}{9}\sqrt{e^3}-\dfrac{4}{9} \\$ $\dfrac{2}{9}\sqrt{e^3}+\dfrac{4}{9}\\$ $\dfrac{4}{9}\sqrt{e^3}-\dfrac{2}{9}$

asked in Calculus Feb 19, 2017

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GATE ME 2013 | Question: 46
The solution to the differential equation $\dfrac{d^2u}{dx^2}-k\dfrac{du}{dx}=0$ where $k$ is a constant, subjected to the boundary conditions $u(0)$ = $0$ and $u(L)$ = $U$, is $u=U\dfrac{x}{L} $ $u=U\left(\dfrac{1-e^{kx}}{1-e^{kL}}\right) $ $u=U\left(\dfrac{1-e^{-kx}}{1-e^{-kL}}\right)$ $u=U\left(\dfrac{1+e^{kx}}{1+e^{kL}}\right)$

asked in Differential Equations Feb 19, 2017

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GATE ME 2013 | Question: 45
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 guesses the answer. The probability of the guessed answer being correct is $\dfrac{1}{4}$. Given that the student has ... answer is $\dfrac{2}{3} \\$ $\dfrac{3}{4} \\$ $\dfrac{5}{6} \\$ $\dfrac{8}{9}$

asked in Probability and Statistics Feb 19, 2017

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GATE ME 2013 | Question: 44
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 and at constant volume are $1.005$ $kJ$/$kgK$ and $0.718$ $kJ$/$kgK$, respectively. ... $bar$ and $300$ $K$, respectively, the available energy in $kJ$/$kg$ of the air stream is $170$ $187$ $191$ $213$

asked in Heat Transfer Feb 19, 2017

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GATE ME 2013 | Question: 43
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 $1000$ $kg$/$m^3$. The minimum mass of the gate in $kg$ per unit width (perpendicular to the plane of paper), required to keep it closed is $5000$ $6600$ $7546$ $9623$

asked in Applied Mechanics and Design Feb 19, 2017

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GATE ME 2013 | Question: 42
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 $0.8$ and the Stefan-Boltzmann constant is $5.67$ × $10^{-8}$ $W$/$m^2$ $K^4$, the net radiation heat exchange rate in $kW$/$m^2$ between the two plates is $0.66$ $0.79$ $0.99$ $3.96$

asked in Heat Transfer Feb 19, 2017

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GATE ME 2013 | Question: 41
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 magnitude of the vertical reaction force in $N$ at the left support is $\text{zero}$ $L/3\pi$ $L/\pi$ $2L/\pi$

asked in Applied Mechanics and Design Feb 19, 2017

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GATE ME 2013 | Question: 40
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 $160$ $MPa$. According to the Soderberg principle, the area of cross-section in $mm^2$ of the bar for a factor of safety of $2$ is $400$ $600$ $750$ $1000$

asked in Applied Mechanics and Design Feb 19, 2017

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GATE ME 2013 | Question: 39
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 $10^{-4}$ seconds. The amplitude in $mm$ of the resulting free vibration is $0.5$ $1.0$ $5.0$ $10.0$

asked in Applied Mechanics and Design Feb 19, 2017

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GATE ME 2013 | Question: 38
During the electrochemical machining $(ECM)$ of iron (atomic weight $= 56$, valency $= 2$) at current of $1000$ $A$ with $90\%$ current efficiency, the material removal rate was observed to be $0.26 gm/s$. If Titanium (atomic weight $= 48$, valency $= 3$) ... with $90\%$ current efficiency, the expected material removal rate in $gm/s$ will be $0.11$ $0.23$ $0.30$ $0.52$

asked in Materials, Manufacturing and Industrial Engineering Feb 19, 2017

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GATE ME 2013 | Question: 37
Cylindrical pins of $25^{\begin{Bmatrix} +0.020\\ +0.010 \end{Bmatrix}$}$ $mm$ diameter are electroplated in a shop. Thickness of the plating is $30^{\pm 2.0}$ $micron$. Neglecting gage tolerances, the size of the $GO$ gage in $mm$ to inspect the plated components is $25.042$ $25.052$ $25.074$ $25.084$

asked in Metrology and Inspection Feb 19, 2017

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GATE ME 2013 | Question: 36
A linear programming problem is shown below. $\begin{array}{ll} \text{Maximize} & 3x + 7y \\ \text{Subject to} & 3x + 7y \leq 10 \\ & 4x + 6y \leq 8 \\ & x, y \geq 0 \end{array}$ It has an unbounded objective function. exactly one optimal solution. exactly two optimal solutions. infinitely many optimal solutions.

asked in Numerical Methods Feb 19, 2017

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GATE ME 2013 | Question: 35
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 $45^{\circ}$ counterclockwise with the $X$-axis. The coordinates of the transformed point will be $(7.5, 5)$ $(10, 5)$ $(7.5, -5)$ $(10, -5)$

asked in Materials, Manufacturing and Industrial Engineering Feb 19, 2017

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GATE ME 2013 | Question: 34
Two cutting tools are being compared for a machining operation. The tool life equations are: $\begin{array}{ll} \text{Carbide tool:} & VT^{1.6} = 3000 \\ \text{HSS tool:} & VT^{0.6} = 200 \end{array}$ where $V$ is the cutting speed in $m/min$ ... $m/min$ exceeds $15.0$ $39.4$ $49.3$ $60.0$

asked in Materials, Manufacturing and Industrial Engineering Feb 19, 2017

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GATE ME 2013 | Question: 33
A pin jointed uniform rigid rod of weight $W$ and length $L$ is supported horizontally by an external force $F$ as shown in the figure below. The force $F$ is suddenly removed. At the instant of force removal, the magnitude of vertical reaction developed at the support is $\text{zero}$ $W/4$ $W/2$ $W$

asked in Applied Mechanics and Design Feb 19, 2017

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GATE ME 2013 | Question: 32
A compound gear train with gears $P$, $Q$, $R$ and $S$ has number of teeth $20$, $40$, $15$ and $20$, respectively. Gears $Q$ and $R$ are mounted on the same shaft as shown in the figure below. The diameter of the gear $Q$ is twice that of the gear $R$. ... module of the gear $R$ is $2$ $mm$, the center distance in $mm$ between gears $P$ and $S$ is $40$ $80$ $120$ $160$

asked in Applied Mechanics and Design Feb 19, 2017

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GATE ME 2013 | Question: 31
A flywheel connected to a punching machine has to supply energy of $400 Nm$ while running at a mean angular speed of $20 rad/s$. If the total fluctuation of speed is not to exceed $±2%$, the mass moment of inertia of the flywheel in $kg$-$m^2$ is $25$ $50$ $100$ $125$

asked in Applied Mechanics and Design Feb 19, 2017

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GATE ME 2013 | Question: 30
A steel ball of diameter $60$ $mm$ is initially in thermal equilibrium at $1030^0C$ in a furnace. It is suddenly removed from the furnace and cooled in ambient air at $30^0C$, with convective heat transfer coefficient $h = 20 W/m^2K$. The thermo-physical ... required in seconds to cool the steel ball in air from $1030^0C$ to $430^0C$ is $519$ $931$ $1195$ $2144$

asked in Heat Transfer Feb 19, 2017

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GATE ME 2013 | Question: 29
Water is coming out from a tap and falls vertically downwards. At the tap opening, the stream diameter is $20$ $mm$ with uniform velocity of $2$ $m/s$. Acceleration due to gravity is $9.81$ $m/s^2$. Assuming steady, inviscid flow, constant atmospheric pressure ... effects, the diameter in mm of the stream $0.5$ $m$ below the tap is approximately $10$ $15$ $20$ $25$

asked in Fluid Mechanics Feb 19, 2017

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GATE ME 2013 | Question: 28
Specific enthalpy and velocity of steam at inlet and exit of a steam turbine, running under steady state, are as given below: ... in $kW$ by the steam turbine per $kg$ of steam flow rate, is $901.2$ $911.2$ $17072.5$ $17082.5$

asked in Applications Feb 19, 2017

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GATE ME 2013 | Question: 27
The function $f(t)$ satisfies the differential equation $\dfrac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\dfrac{d(f)}{d(t)}(0)=4$. The Laplace transform of $f(t)$is given by $\dfrac{2}{s+1} \\$ $\dfrac{4}{s+1} \\$ $\dfrac{4}{s^2+1} \\$ $\dfrac{2}{s^4+1}$

asked in Differential Equations Feb 19, 2017

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GATE ME 2013 | Question: 26
The following surface integral is to be evaluated over a sphere for the given steady velocity vector field $F$ = $xi$ + $yj$+ $zk$ defined with respect to a Cartesian coordinate system having $i$, $j$ and $k$ ... is the outward unit normal vector to the sphere. The value of the surface integral is $\pi$ $2\pi$ $3\pi/4$ $4\pi$

asked in Calculus Feb 19, 2017

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