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Recent questions tagged gateme-2014-set4

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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. $5.6$ $7.2$ $10.0$ $12.2$
asked Feb 19, 2017 in Numerical Ability Arjun 24.6k points
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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 $2012$. The expenditure on labour in $2012$ is ... $20\%$. What is the percentage increase in total cost for the company in $2013$?
asked Feb 19, 2017 in Numerical Ability Arjun 24.6k points
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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
asked Feb 19, 2017 in Analytical Aptitude Arjun 24.6k points
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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?
asked Feb 19, 2017 in Numerical Ability Arjun 24.6k points
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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? $6666660$ $6666600$ $6666666$ $6666606$
asked Feb 19, 2017 in Numerical Ability Arjun 24.6k points
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Let $f(x,y)=x^n y^m=P$ If $x$ is doubled and $y$ is halved, the new value of $f$ is $2^{n-m}P$ $2^{m-n}P$ $2(n-m)P$ $2(m-n)P$
asked Feb 19, 2017 in Numerical Ability Arjun 24.6k points
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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
asked Feb 19, 2017 in Verbal Ability Arjun 24.6k points
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After the discussion, Tom said to me, 'Please revert!'. He expects me to _________. retract get back to him move in reverse retreat
asked Feb 19, 2017 in Verbal Ability Arjun 24.6k points
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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
asked Feb 19, 2017 in Verbal Ability Arjun 24.6k points
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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 welding parameters caused an undercut of $3$ $mm$ depth along the weld. The maximum transverse tensile load (in $kN$) carrying capacity of the developed weld joint is _______
asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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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 the unilateral tolerance system is ... $25.015^{+0.000 \\ -0.006 }$ $24.985^{+0.03 \\ -0.03}$ $24.985^{+0.003 \\ -0.000}$
asked Feb 19, 2017 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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Consider a velocity field $\overrightarrow{V}=k(y\hat{i}+x\hat{k})$ , where $K$ is a constant. The vorticity, $Ω_Z$ , is $-K$ $K$ $-K/2$ $K/2$
asked Feb 19, 2017 in Calculus Arjun 24.6k points
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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 streamline, where $u$, $v$ and $w$ ... true? $(i), (ii), (iv)$ $(ii), (iii), (iv)$ $(i), (iii), (iv)$ $(i), (ii), (iii)$
asked Feb 19, 2017 in Differential Equations Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Applications Arjun 24.6k points
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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. The ratio of the net heat exchange between the plates with and without the shield is $1/2$ $1/3$ $1/4$ $1/8$
asked Feb 19, 2017 in Heat Transfer Arjun 24.6k points
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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 purposes. The remaining $8.5$ ... , where $h$ = $2374$ $kJ/kg$. Neglecting changes in kinetic and potential energies, the net power output (in $kW$) of the turbine is _______
asked Feb 19, 2017 in Applications Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Heat Transfer Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Fluid Mechanics Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Heat Transfer Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Fluid Mechanics Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Engineering Mechanics Arjun 24.6k points
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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 $0.22$ $0.44$ $0.66$ $0.88$
asked Feb 19, 2017 in Numerical Methods Arjun 24.6k points
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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 $0.029$ $0.034$ $0.039$ $0.044$
asked Feb 19, 2017 in Probability and Statistics Arjun 24.6k points
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The value of the integral $\int_{0}^{2}\int_{0}^{x}e^{x+y}dydx$ is $\dfrac{1}{2}(e-1) \\$ $\dfrac{1}{2}(e^2-1)^2 \\$ $\dfrac{1}{2}(e^2-e) \\$ $\dfrac{1}{2}(e-\frac{1}{e})^2$
asked Feb 19, 2017 in Calculus Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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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 $P$ is applied at mid-height on the wardrobe so as to tip it about point $Q$ without slipping. What ... between the floor and the wardrobe, respectively? $490.5$ and $0.5$ $981$ and $0.5$ $1000.5$ and $0.15$ $1000.5$ and $0.25$
asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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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 $\dfrac{1}{3}\dfrac{PL^3}{EI} \\$ $\dfrac{2}{3}\dfrac{PL^3}{EI} \\$ $\dfrac{PL^3}{EI} \\$ $\dfrac{4}{3}\dfrac{PL^3}{EI}$
asked Feb 19, 2017 in Engineering Mechanics Arjun 24.6k points
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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 unthreaded portion in grip is $8$ $mm$. Young's modulus of material is $200$ $GPa$. The effective stiffness (in $MN/m$) of the bolt in the clamped zone is_______
asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Engineering Mechanics Arjun 24.6k points
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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
asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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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
asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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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 _______
asked Feb 19, 2017 in Applied Mechanics and Design Arjun 24.6k points
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If $z$ is a complex variable, the value of $\displaystyle{} \int_{5}^{3i}\dfrac{dz}{z}$ is $− 0.511−1.57i$ $− 0.511+1.57i$ $0.511− 1.57i$ $0.511+1.57i$
asked Feb 19, 2017 in Calculus Arjun 24.6k points
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