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Recent questions tagged gateme-2019-set2

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Once the team of analysis identify the problem, we ____ in a better position to comment on the issue. Which of the following choices CANNOT fill the given blank? will be were to be are going to be might be
asked Feb 9, 2019 in Verbal Ability Arjun 24.6k points
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A final examination is the ____ of a series of evaluations that a student has to go through culmination consultation desperation insinuation
asked Feb 9, 2019 in Verbal Ability Arjun 24.6k points
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The product of three integers $X$, $Y$ and $Z$ is $192$. $Z$ is equal to $4$ and $P$ is equal to the average of $X$ and $Y$. What is the minimum possible value of $P$? $6$ $7$ $8$ $9.5$
asked Feb 9, 2019 in Numerical Ability Arjun 24.6k points
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Fiscal deficit was $4 \%$ of the GDP in $2015$ and that increased to $5 \%$ in $2016$. If the GDP increased by $10 \%$ from $2015$ to $2016$, the percentage increase in the actual fiscal deficit is ____ $37.50$ $35.70$ $25.00$ $10.00$
asked Feb 9, 2019 in Numerical Ability Arjun 24.6k points
1 vote
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Two pipes $P$ and $Q$ can fill a tank in $6$ hours and $9$ hours respectively, while a third pipe $R$ can empty the tank in $12$ hours. Initially, $P$ and $R$ are open for $4$ hours, Then $P$ is closed and $Q$ is opened. After $6$ more hours $R$ is closed. The total time taken to fill the tank (in hours) is ____ $13.50$ $14.50$ $15.50$ $16.50$
asked Feb 9, 2019 in Numerical Ability Arjun 24.6k points
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While teaching a creative writing class in India, I was surprised at receiving stories from the students that were all set in distant places: in the American West with cowboys and in Manhattan penthouses with clinking ice cubes. This was, till an eminent Caribbean ... India None of the students had written about ice cubes and cowboys Some of the students had written about ice cubes and cowboys
asked Feb 9, 2019 in Verbal Ability Arjun 24.6k points
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Mola is a digital platform for taxis in a city. It offers three types of rides - Pool, Mini and Prime.The table below presents the number of rides for the past four months. The platform earns one US dollar per ride. What is the percentage share of the revenue contributed by Prime to the total revenues ... $16.24$ $23.97$ $25.86$ $38.74$
asked Feb 9, 2019 in Numerical Ability Arjun 24.6k points
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$X$ is an online media provider. By offering unlimited and exclusive online content at attractive prices for a loyalty membership, $X$ is almost forcing its customers towards its loyalty membership. If its royalty membership continues to grow at its current rate, ... cable television Cable television operators don't subscribe to $X's$ loyalty members The $X$ is cancelling accounts of non-members
asked Feb 9, 2019 in Verbal Ability Arjun 24.6k points
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In matrix equation $[A] \{X\}=\{R\}$, $[A] = \begin{bmatrix} 4 & 8 & 4 \\ 8 & 16 & -4 \\ 4 & -4 & 15 \end{bmatrix} \{X\} = \begin{Bmatrix} 2 \\ 1 \\ 4 \end{Bmatrix} \text{ and} \{ R \} = \begin{Bmatrix} 32 \\ 16 \\ 64 \end{Bmatrix}$ One of the eigen values of matrix $[A]$ is $4$ $8$ $15$ $16$
asked Feb 9, 2019 in Linear Algebra Arjun 24.6k points
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The directional derivative of the function $f(x,y)=x^2+y^2$ along a line directed from $(0,0)$ to $(1,1)$, evaluated at the point $x=1, y=1$ is $\sqrt{2}$ $2$ $2 \sqrt{2}$ $4 \sqrt{2}$
asked Feb 9, 2019 in Calculus Arjun 24.6k points
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The differential equation $\dfrac{dy}{dx}+4y=5$ is valid in the domain $0 \leq x \leq 1$ with $y(0)=2.25$. The solution of the differential equation is $y=e^{-4x}+5$ $y=e^{-4x}+1.25$ $y=e^{4x}+5$ $y=e^{4x}+1.25$
asked Feb 9, 2019 in Differential Equations Arjun 24.6k points
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An analytic function $f(z)$ of complex variable $z=x+iy$ may be written as $f(z)=u(x,y)+iv(x,y)$. Then $u(x,y)$ and $v(x,y)$ ...
asked Feb 9, 2019 in Calculus Arjun 24.6k points
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A rigid triangular body, PQR, with sides of equal length of $1$ unit moves on a flat plane. At the instant shown, edge QR is parallel to the $x$-axis, and the body moves such that velocities of points P and R are $V_P$ and $V_R$, in the $x$ and $y$ directions, respectively. The magnitude of the angular velocity of the body is $2V_R$ $2V_P$ $V_R/\sqrt{3}$ $V_P/\sqrt{3}$
asked Feb 9, 2019 in Theory of Machines Arjun 24.6k points
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Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of $100$ MPa along the length direction. Assume plane stress conditions in the plane normal to the thickness. The Young’s modulus $E=200$ MPa and Poisson’s ratio $v=0.3$ are given. The principal strains in the plane of the sheet are $(0.35, – 0.15)$ $(0.5, 0.0)$ $(0.5, – 0.15)$ $(0.5, – 0.5)$
asked Feb 9, 2019 in Mechanics of Materials Arjun 24.6k points
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A spur gear has pitch circle diameter $D$ and number of teeth $T$. The circular pitch of the gear is $\dfrac{\pi D}{T} \\$ $\dfrac{T}{D} \\$ $\dfrac{D}{T} \\$ $\dfrac{2 \pi D}{T}$
asked Feb 9, 2019 in Machine Design Arjun 24.6k points
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Endurance limit of a beam subjected to pure bending decreases with decrease in the surface roughness and decrease in the size of the beam increase in the surface roughness and decrease in the size of the beam increase in the surface roughness and increase in the size of the beam decrease in the surface roughness and increase in the size of the beam
asked Feb 9, 2019 in Mechanics of Materials Arjun 24.6k points
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A two-dimensional incompressible frictionless flow field is given by $\overrightarrow{u} = x \hat{i} – y \hat{j}$. If $\rho$ is the density of the fluid, the expression for pressure gradient vector at any point in the flow field is given as $\rho(x \hat{i}+y \hat{j})$ $ – \rho(x \hat{i}+y \hat{j})$ $\rho(x \hat{i} – y \hat{j})$ $ – \rho(x^2 \hat{i}+y^2 \hat{j})$
asked Feb 9, 2019 in Fluid Mechanics Arjun 24.6k points
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Sphere $1$ with a diameter of $0.1$ m is completely enclosed by another sphere $2$ of diameter $0.4$m. The view factor $F_{12}$ is $0.0625$ $0.25$ $0.5$ $1.0$
asked Feb 9, 2019 in Heat Transfer Arjun 24.6k points
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One-dimensional steady state heat conduction takes places through a solid whose cross-sectional area varies linearly in the direction of heat transfer. Assume there is no heat generation in the solid and the thermal conductivity of the material is constant and independent of temperature. The temperature distribution in the solid is Linear Quadratic Logarithmic Exponential
asked Feb 9, 2019 in Heat Transfer Arjun 24.6k points
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For a simple compressible system, $v, s, p$ and $T$ are specific volume, specific entropy, pressure and temperature, respectively. As per Maxwell's relations, $\bigg( \dfrac{\partial v}{\partial s} \bigg) _p$ is equal to $\bigg( \dfrac{\partial s}{\partial T} \bigg) _p \\$ ... $ - \bigg( \dfrac{\partial T}{\partial v} \bigg) _p \\$ $\bigg( \dfrac{\partial T}{\partial p} \bigg) _s$
asked Feb 9, 2019 in Thermodynamics Arjun 24.6k points
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Which one of the following modifications of the simple ideal Rankine cycle increases the thermal efficiency and reduces the moisture content of the steam at the turbine outlet? Increasing the boiler pressure Decreasing the boiler pressure Increasing the turbine inlet temperature decreasing the condenser pressure
asked Feb 9, 2019 in Thermodynamics Arjun 24.6k points
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Hardenability of steel is a measure of the ability to harden when it is cold worked the maximum hardness that can be obtained when it is austenitized and then quenched the depth to which required hardening is obtained when it is austenitized and then quenched the ability to retain its hardness when it is heated to elevated temperatures
asked Feb 9, 2019 in Engineering Materials Arjun 24.6k points
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The cold forming process in which a hardened tool is pressed against a workpiece (when there is relative motion between the tool and the workpiece) to produce a roughened surface with a regular pattern is Roll forming Strip forming Knurling Chamfering
asked Feb 9, 2019 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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The transformation matrix for mirroring a point in $x – y$ plane about the line $y=x$ is given by $\begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix} \\$ $\begin{bmatrix} -1 & 0 \\ 0 & 1 \end{bmatrix} \\$ $\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} \\$ $\begin{bmatrix} 0 & -1 \\ -1 & 0 \end{bmatrix}$
asked Feb 9, 2019 in Linear Algebra Arjun 24.6k points
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1 answer
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The figure shows an idealized plane truss. If a horizontal force of $300$ N is applied at point A, then the magnitude of the force produced in member CD is ____ N
asked Feb 9, 2019 in Applied Mechanics and Design Arjun 24.6k points
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The state of stress at a point in a component is represented by a Mohr’s circle of radius $100$ MPa centered at $200$ MPa on the thermal stress axis. On a plane passing through the same point, the normal stress is $260$ MPa. The magnitude of the shear stress on the same plane at the same point is _______ MPa
asked Feb 9, 2019 in Applied Mechanics and Design Arjun 24.6k points
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A wire of circular cross-section of diameter $1.0$ mm is bent into a circular arc of radius. $1.0$ m by application of pure bending moments at its ends. The Young’s modulus of the material of the wire is $100$ GPa. The maximum tensile stress developed in the wire is ______ MPa
asked Feb 9, 2019 in Applied Mechanics and Design Arjun 24.6k points
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Water enters a circular pipe of length $L=5.0$ m and diameter $D=0.20$m with Reynolds number $Re_D=500$. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit. The Reynolds number at the exit of the pipe is _________
asked Feb 9, 2019 in Fluid Mechanics Arjun 24.6k points
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A thin vertical flat plate of height $L$, and infinite width perpendicular to the plane of the figure, is losing heat to the surroundings by natural convection. The temperatures of the plate and the surroundings by natural convection. The temperatures of the plate and the surroundings ... first plate is $h_1$ and that for the second plate is $h_2$, the value of the ratio $h_1/h_2$ is ____________
asked Feb 9, 2019 in Heat Transfer Arjun 24.6k points
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Given a vector $\overrightarrow{u} = \dfrac{1}{3} \big(-y^3 \hat{i} + x^3 \hat{j} + z^3 \hat{k} \big)$ and $\hat{n}$ as the unit normal vector to the surface of the hemipshere $(x^2+y^2+z^2=1; \: z \geq 0)$ ... $S$ is $- \dfrac{\pi}{2} \\$ $\dfrac{\pi}{3} \\$ $\dfrac{\pi}{2} \\$ $\pi$
asked Feb 9, 2019 in Calculus Arjun 24.6k points
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A diffferential equation is given as $x^2 \frac{d^2y}{dx^2} – 2x \frac{dy}{dx} +2y =4$ The solution of the differential equation in terms of arbitrary constants $C_1$ and $C_2$ is $y=C_1x^2 +C_2 x+2 \\$ $y=\dfrac{C_1}{x^2} +C_2x+2 \\$ $y=C_1x^2+C_2x+4 \\$ $y=\dfrac{C_1}{x^2}+C_2x+4$
asked Feb 9, 2019 in Engineering Mathematics Arjun 24.6k points
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The derivative of $f(x)= \cos x$ can be estimated using the approximation $f'(x)=\dfrac{f(x+h)-f(x-h)}{2h}$. The percentage error is calculated as $\bigg( \dfrac{\text{Exact value - Approximate value}}{\text{Exact value}} \bigg) \times 100$. The percentage error in the derivative of $f(x)$ at $x=\pi /6$ ... $<0.1 \%$ $> 0.1 \% \text{ and } <1 \%$ $> 1 \% \text{ and } <5 \%$ $>5 \%$
asked Feb 9, 2019 in Calculus Arjun 24.6k points
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A ball of mass $3$ kg moving with a velocity of $4 \:m/s$ undergoes a perfectly-elastic direct-central impact with a stationary ball of mass $m$. After the impact is over, the kinetic energy of the $3$ kg ball is $6$ J. The possible value(s) of $m$ is/are $1$ kg only $6$ kg only $1$ kg, $6$ kg $1$ kg, $9$ kg
asked Feb 9, 2019 in Applied Mechanics and Design Arjun 24.6k points
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Consider two concentric circular cylinders of different materials $M$ and $N$ in contact with each other at $r=b$, as shown below. The interface at $r=b$ is frictionless. The composite cylinder is subjected to internal pressure $P$. Let $(u_r^M, u_{\theta}^M)$ ... $\sigma_{rr}^M = \sigma_{rr}^N \text{ and } \sigma_{\theta \theta}^M = \sigma_{\theta \theta}^N$
asked Feb 9, 2019 in Mechanics of Materials Arjun 24.6k points
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