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GATE Mechanical 2014 Set 4 | GA Question: 8
Industrial consumption of power doubled from $2000$-$2001$ to $2010$-$2011$. Find the annual rate of increase in percent assuming it to be uniform over the years. $5.6$ $7.2$ $10.0$ $12.2$

Arjun asked in Quantitative Aptitude Feb 19, 2017

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GATE Mechanical 2014 Set 4 | GA Question: 9
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in $2012$. ... all other expenses increased by $20\%$. What is the percentage increase in total cost for the company in $2013$?

Arjun asked in Quantitative Aptitude Feb 19, 2017

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GATE Mechanical 2014 Set 4 | GA Question: 7
If ‘KCLFTSB’ stands for ‘best of luck’ and ‘SHSWDG’ stands for ‘good wishes’, which of the following indicates ‘ace the exam’? MCHTX MXHTC XMHCT XMHTC

Arjun asked in Analytical Aptitude Feb 19, 2017

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GATE Mechanical 2014 Set 4 | GA Question: 6
Find the next term in the sequence: $13M, 17Q, 19S$, ___ $21W$ $21V$ $23W$ $23V$

Arjun asked in Analytical Aptitude Feb 19, 2017

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GATE Mechanical 2014 Set 4 | GA Question: 5
In a sequence of $12$ consecutive odd numbers, the sum of the first $5$ numbers is $425$. What is the sum of the last $5$ numbers in the sequence?

Arjun asked in Quantitative Aptitude Feb 19, 2017

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GATE Mechanical 2014 Set 4 | GA Question: 10
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers? $6666660$ $6666600$ $6666666$ $6666606$

Arjun asked in Quantitative Aptitude Feb 19, 2017

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GATE Mechanical 2014 Set 4 | GA Question: 4
Let $f(x,y)=x^n y^m=P$ If $x$ is doubled and $y$ is halved, the new value of $f$ is $2^{n-m}P$ $2^{m-n}P$ $2(n-m)P$ $2(m-n)P$

Arjun asked in Quantitative Aptitude Feb 19, 2017

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GATE Mechanical 2014 Set 4 | GA Question: 3
While receiving the award, the scientist said, "I feel vindicated". Which of the following is closest in meaning to the word ‘vindicated’? punished substantiated appreciated chastened

Arjun asked in Verbal Aptitude Feb 19, 2017

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GATE Mechanical 2014 Set 4 | GA Question: 2
After the discussion, Tom said to me, 'Please revert!'. He expects me to _________. retract get back to him move in reverse retreat

Arjun asked in Verbal Aptitude Feb 19, 2017

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GATE Mechanical 2014 Set 4 | GA Question: 1
Which of the following options is the closest in meaning to the word underlined in the sentence below? In a democracy, everybody has the freedom to disagree with the government. dissent descent decent decadent

Arjun asked in Verbal Aptitude Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 55
A butt weld joint is developed on steel plates having yield and ultimate tensile strength of $500$ $MPa$ and $700$ $MPa$, respectively. The thickness of the plates is $8$ $mm$ and width is $20$ $mm$. Improper selection of ... $mm$ depth along the weld. The maximum transverse tensile load (in $kN$) carrying capacity of the developed weld joint is _______

Arjun asked in Applied Mechanics and Design Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 54
A cast iron block of $200$ $mm$ length is being shaped in a shaping machine with a depth of cut of $4$ $mm$, feed of $0.25$ $mm$/stroke and the tool principal cutting edge angle of $30^{\circ}$. Number of cutting strokes per minute is $60$. Using specific energy for cutting as $1.49$ $J/mm^3$, the average power consumption (in watt) is _______

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

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GATE Mechanical 2014 Set 4 | Question: 53
A cylindrical riser of $6\text{ cm}$ diameter and $6 \text{ cm}$ height has to be designed for a sand casting mould for producing a steel rectangular plate casting of $7 \text{ cm} \times 10 \text{ cm} \times 2 \text{ cm}$ dimensions having the total solidification time of $1.36$ minute. The total solidification time (in minute) of the riser is _______

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

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GATE Mechanical 2014 Set 4 | Question: 52
A GO-No GO plug gauge is to be designed for measuring a hole of nominal diameter $25$ $mm$ with a hole tolerance of $\pm 0.015$ $mm$. Considering $10 \%$ of work tolerance to be the gauge tolerance and no wear condition, the dimension (in $mm$) of the GO plug gauge as per ... $25.015^{+0.000 \\ -0.006 }$ $24.985^{+0.03 \\ -0.03}$ $24.985^{+0.003 \\ -0.000}$

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

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GATE Mechanical 2014 Set 4 | Question: 44
Consider a velocity field $\overrightarrow{V}=k(y\hat{i}+x\hat{k})$ , where $K$ is a constant. The vorticity, $Ω_Z$ , is $-K$ $K$ $-K/2$ $K/2$

Arjun asked in Calculus Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 43
Consider the following statements regarding streamline(s): It is a continuous line such that the tangent at any point on it shows the velocity vector at that point There is no flow across streamlines $\dfrac{dx}{u}=\dfrac{dy}{v}=\dfrac{dz}{w}$ is the differential equation of a ... $(ii), (iii), (iv)$ $(i), (iii), (iv)$ $(i), (ii), (iii)$

Arjun asked in Differential Equations Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 51
At a work station, $5$ jobs arrive every minute. The mean time spent on each job in the work station is $1/8$ minute. The mean steady state number of jobs in the system is _______

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

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GATE Mechanical 2014 Set 4 | Question: 50
The precedence relations and duration (in days) of activities of a project network are given in the table. The total float (in days) of activities $e$ and $f$ ... $0$ and $4$ $1$ and $4$ $2$ and $3$ $3$ and $1$

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

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GATE Mechanical 2014 Set 4 | Question: 49
In a compression ignition engine, the inlet air pressure is $1$ bar and the pressure at the end of isentropic compression is $32.42$ bar. The expansion ratio is $8$. Assuming ratio of specific heats $(γ)$ as $1.4$, the air standard efficiency (in percent) is _______

Arjun asked in Applications Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 48
Two infinite parallel plates are placed at a certain distance apart. An infinite radiation shield is inserted between the plates without touching any of them to reduce heat exchange between the plates. Assume that the emissivities of plates and radiation shield are equal ... exchange between the plates with and without the shield is $1/2$ $1/3$ $1/4$ $1/8$

Arjun asked in Heat Transfer Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 47
Steam with specific enthalpy $(h)$ $3214$ $kJ/kg$ enters an adiabatic turbine operating at steady state with a flow rate $10$ $kg/s$. As it expands, at a point where h is $2920$ $kJ/kg$, $1.5$ $kg/s$ is extracted for heating ... = $2374$ $kJ/kg$. Neglecting changes in kinetic and potential energies, the net power output (in $kW$) of the turbine is _______

Arjun asked in Applications Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 46
Two identical metal blocks L and M (specific heat = $0.4$ $kJ/kg.K$), each having a mass of $5$ $kg$, are initially at $313$ $K$. A reversible refrigerator extracts heat from block L and rejects heat to block M until the temperature of block L reaches $293$ $K$. The final temperature (in $K$) of block M is _______

Arjun asked in Heat Transfer Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 45
Water flows through a tube of diameter $25$ $mm$ at an average velocity of $1.0$ $m/s$. The properties of water are $\rho$=$1000$ $kg/m^3$, $\mu$=$7.25 ×10^{−4}$ $N.s/m^2$, $k$=$0.625$ $W/m.K$, $P_r$ = $4.85$. Using $N_\mu =0.023R_e^{0.8}P_r^{0.4}$ , the convective heat transfer coefficient (in $W/m^2.K$) is _______

Arjun asked in Fluid Mechanics Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 42
A plane wall has a thermal conductivity of $1.15$ $W/m.K$. If the inner surface is at $1100^{\circ} C$ and the outer surface is at $350^{\circ} C$, then the design thickness (in meter) of the wall to maintain a steady heat flux of $2500$ $W/m^2$ should be _______

Arjun asked in Heat Transfer Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 41
A closed system contains $10$ $kg$ of saturated liquid ammonia at $10^{\circ}$ $C$. Heat addition required to convert the entire liquid into saturated vapour at a constant pressure is $16.2$ $MJ$. If the entropy of the saturated liquid is $0.88$ $kJ/kg.K$, the entropy (in $kJ/kg.K$) of saturated vapour is _______

Arjun asked in Fluid Mechanics Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 40
A ladder AB of length $5$ $m$ and weight $(W)$ $600$ $N$ is resting against a wall. Assuming frictionless contact at the floor $(B)$ and the wall $(A)$, the magnitude of the force $P$ (in newton) required to maintain equilibrium of the ladder is _______

Arjun asked in Engineering Mechanics Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 29
Consider an ordinary differential equation $\dfrac{dx}{dt}=4t+4$. If $x = x_0$ at $t = 0$, the increment in $x$ calculated using Runge-Kutta fourth order multi-step method with a step size of $\Delta t = 0.2$ is $0.22$ $0.44$ $0.66$ $0.88$

Arjun asked in Numerical Methods Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 28
The number of accidents occurring in a plant in a month follows Poisson distribution with mean as $5.2$. The probability of occurrence of less than $2$ accidents in the plant during a randomly selected month is $0.029$ $0.034$ $0.039$ $0.044$

Arjun asked in Probability and Statistics Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 27
The value of the integral $\int_{0}^{2}\int_{0}^{x}e^{x+y}dydx$ is $\dfrac{1}{2}(e-1) \\$ $\dfrac{1}{2}(e^2-1)^2 \\$ $\dfrac{1}{2}(e^2-e) \\$ $\dfrac{1}{2}(e-\frac{1}{e})^2$

Arjun asked in Calculus Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 39
A single degree of freedom system has a mass of $2$ $kg$, stiffness $8$ $N/m$ and viscous damping ratio $0.02$. The dynamic magnification factor at an excitation frequency of $1.5$ $rad/s$ is _______

Arjun asked in Applied Mechanics and Design Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 38
Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. The moment of inertia (in $kg.m^2$) of the flywheel is _______

Arjun asked in Theory of Machines Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 37
A wardrobe (mass $100$ $kg$, height $4$ $m$, width $2$ $m$, depth $1$ $m$), symmetric about the $Y$-$Y$ axis, stands on a rough level floor as shown in the figure. A force $P$ ... and the wardrobe, respectively? $490.5$ and $0.5$ $981$ and $0.5$ $1000.5$ and $0.15$ $1000.5$ and $0.25$

Arjun asked in Applied Mechanics and Design Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 36
A frame is subjected to a load $P$ as shown in the figure. The frame has a constant flexural rigidity $EI$. The effect of axial load is neglected. The deflection at point $A$ due to the applied load $P$ is $\dfrac{1}{3}\dfrac{PL^3}{EI} \\$ $\dfrac{2}{3}\dfrac{PL^3}{EI} \\$ $\dfrac{PL^3}{EI} \\$ $\dfrac{4}{3}\dfrac{PL^3}{EI}$

Arjun asked in Engineering Mechanics Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 35
A bolt of major diameter $12$ $mm$ is required to clamp two steel plates. Cross sectional area of the threaded portion of the bolt is $84.3$ $mm^2$. The length of the threaded portion in grip is $30$ $mm$, while the length of the ... Young's modulus of material is $200$ $GPa$. The effective stiffness (in $MN/m$) of the bolt in the clamped zone is_______

Arjun asked in Applied Mechanics and Design Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 34
A uniform slender rod ($8$ $m$ length and $3$ $kg$ mass) rotates in a vertical plane about a horizontal axis $1$ $m$ from its end as shown in the figure. The magnitude of the angular acceleration (in $rad/s^2$) of the rod at the position shown is _______

Arjun asked in Engineering Mechanics Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 33
It is desired to avoid interference in a pair of spur gears having a $20^{\circ}$ pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion increases decreases first increases and then decreases remains unchanged

Arjun asked in Applied Mechanics and Design Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 32
For the truss shown in the figure, the forces $F_1$ and $F_2$ are $9$ $kN$ and $3$ $kN$, respectively. The force (in $kN$) in the member QS is $11.25$ tension $11.25$ compression $13.5$ tension $13.5$ compression

Arjun asked in Applied Mechanics and Design Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 31
A thin gas cylinder with an internal radius of $100$ $mm$ is subject to an internal pressure of $10$ $MPa$. The maximum permissible working stress is restricted to $100$ $MPa$. The minimum cylinder wall thickness (in $mm$) for safe design must be _______

Arjun asked in Applied Mechanics and Design Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 30
A shaft is subjected to pure torsional moment. The maximum shear stress developed in the shaft is $100$ $MPa$. The yield and ultimate strengths of the shaft material in tension are $300$ $MPa$ and $450$ $MPa$, respectively. The factor of safety using maximum distortion energy (von-Mises) theory is _______

Arjun asked in Applied Mechanics and Design Feb 19, 2017

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GATE Mechanical 2014 Set 4 | Question: 26
If $z$ is a complex variable, the value of $\displaystyle{} \int_{5}^{3i}\dfrac{dz}{z}$ is $− 0.511−1.57i$ $− 0.511+1.57i$ $0.511− 1.57i$ $0.511+1.57i$

Arjun asked in Calculus Feb 19, 2017

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