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Consider the following sentences: After his surgery, Raja hardly could walk. After his surgery, Raja could barely walk. After his surgery, Raja barely could walk. After his surgery, Raja could hardly walk. Which of the above sentences are grammatically CORRECT? (i) and (ii) (i) and (iii) (iii) and (iv) (ii) and (iv)
asked 5 days ago in Verbal Ability gatecse 1.5k points
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Ms. $X$ came out of a building through its front door to find her shadow due to the morning sun failing to her right side with the building to her back. From this, it can be inferred that building is facing _________ North East West South
asked 5 days ago in Analytical Aptitude gatecse 1.5k points
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In the above figure, $\textsf{O}$ is the center of the circle and, $\textsf{M}$ and $\textsf{N}$ lie on the circle. The area of the right triangle $\textsf{MON}$ is $50\;\text{cm}^{2}$. What is the area of the circle in $\text{cm}^{2}?$ $2\pi$ $50\pi$ $75\pi$ $100\pi$
asked 5 days ago in Numerical Ability gatecse 1.5k points
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If $\left\{\begin{matrix} “ \oplus” \; \text{means}\; “-” \\ “ \otimes” \; \text{means}\; “\div” \\ “ \triangle” \; \text{means}\; “+” \\ “ \triangledown” \; \text{means}\; “\times” \end{matrix}\right.$ then, the value of the expression $\triangle 2 \oplus 3 \triangle \left((4 \otimes 2) \triangledown 4) \right) = $ $-1$ $-0.5$ $6$ $7$
asked 5 days ago in Others gatecse 1.5k points
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The increased consumption of leafy vegetables in the recent months is a clear indication that the people in the state have begun to lead a healthy lifestyle Which of the following can be logically inferred from the information presented in the above statement? ... diet with leafy vegetables. The people in the state have increased awareness of healthy hazard causing by consumption of junk foods.
asked 5 days ago in Verbal Ability gatecse 1.5k points
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Oxpeckers and rhinos manifest a symbiotic relationship in the wild. The oxpeckers warn the rhinos about approaching poachers, thus possibly saving the lives of the rhinos. Oxpeckers also feed on the parasitic ticks found on rhinos. In the symbiotic relationship described above ... food source, rhinos may be saved from the poachers. Oxpeckers save the lives of poachers, rhinos save their own lives.
asked 5 days ago in Verbal Ability gatecse 1.5k points
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A jigsaw puzzle has $2$ pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.
asked 5 days ago in Spatial Aptitude gatecse 1.5k points
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The number of hens, ducks and goats in farm $P$ are $65,91$ and $169,$ respectively. The total number of hens, ducks and goats in a nearby farm $Q$ is $416.$ The ratio of hens: ducks: goats in farm $Q$ is $5:14:13.$ All the hens, ducks and goats are sent from farm $Q$ to farm $P.$ The new ratio of hens : ducks : goats in farm $P$ is ________ $5:7:13$ $5:14:13$ $10:21:26$ $21:10:26$
asked 5 days ago in Numerical Ability gatecse 1.5k points
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$\begin{array}{|c|c|} \hline \textbf{Company} & \textbf{Ratio} \\\hline C1 & 3:2 \\\hline C2 & 1:4 \\\hline C3 & 5:3 \\\hline C4 & 2:3 \\\hline C5 & 9:1 \\\hline C6 & 3:4 \\\hline\end{array}$ The distribution of employees at the rank ... $\textsf{C2}$ and $\textsf{C5}$ together is ________. $225$ $600$ $1900$ $2500$
asked 5 days ago in Numerical Ability gatecse 1.5k points
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Five persons $P, Q, R, S$ and $T$ are sitting in a row not necessarily in the same order. $Q$ and $R$ are separated by one person, and $S$ should not be seated adjacent to $Q.$ The number of distinct seating arrangements possible is: $4$ $8$ $10$ $16$
asked 5 days ago in Numerical Ability gatecse 1.5k points
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If $y(x)$ satisfies the differential equation $(\sin x) \frac{\mathrm{d}y }{\mathrm{d} x} + y \cos x = 1,$ subject to the condition $y(\pi/2) = \pi/2,$ then $y(\pi/6)$ is $0$ $\frac{\pi}{6}$ $\frac{\pi}{3}$ $\frac{\pi}{2}$
asked 5 days ago in Differential Equations gatecse 1.5k points
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The value of $\displaystyle{} \lim_{x \rightarrow 0} \left( \frac{1 – \cos x}{x^{2}}\right)$ is $\frac{1}{4}$ $\frac{1}{3}$ $\frac{1}{2}$ $1$
asked 5 days ago in Calculus gatecse 1.5k points
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The Dirac-delta function $\left ( \delta \left ( t-t_{0} \right ) \right )$ for $\text{t}$, $t_{0} \in \mathbb{R}$ ... for $a> 0$; $L\left ( \delta \left ( t-a \right ) \right )=F\left ( s \right )$ is $0$ $\infty$ $e^{sa}$ $e^{-sa}$
asked 5 days ago in Others gatecse 1.5k points
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The ordinary differential equation $\frac{dy}{dt}=-\pi y$ subject to an initial condition $y\left ( 0 \right )=1$ is solved numerically using the following scheme: $\frac{y\left ( t_{n+1} \right )-y\left ( t_{n} \right )}{h}=-\pi y\left ( t_{n} \right )$ where $\text{h}$ is the time ... $0< h< \frac{2}{\pi }$ $0< h< 1$ $0< h< \frac{\pi }{2}$ for all $h> 0$
asked 5 days ago in Others gatecse 1.5k points
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Consider a binomial random variable $\text{X}$. If $X_{1},X_{2},\dots ,X_{n}$ are independent and identically distributed samples from the distribution of $\text{X}$ with sum $Y=\sum_{i=1}^{n}X_{i}$, then the distribution of $\text{Y}$ as $n\rightarrow \infty$ can be approximated as Exponential Bernoulli Binomial Normal
asked 5 days ago in Others gatecse 1.5k points
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The loading and unloading response of a metal is shown in the figure. The elastic and plastic strains corresponding to $\text{200 MPa}$, respectively, are $0.01$ and $0.01$ $0.02$ and $0.01$ $0.01$ and $0.02$ $0.02$ and $0.02$
asked 5 days ago in Others gatecse 1.5k points
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In a machining operation, if a cutting tool traces the workpiece such that the directrix is perpendicular to the plane of the generatrix as shown in figure, the surface generated is plane cylindrical spherical a sutace of revolution
asked 5 days ago in Others gatecse 1.5k points
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The correct sequence of machining operations to be performed to finish a large diameter through hole is drilling, boring, reaming boring, drilling, reaming drilling, reaming, boring boring, reaming, drilling
asked 5 days ago in Others gatecse 1.5k points
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In modern $\text{CNC}$ machine tools, the backlash has been eliminated by preloaded ballscrews rack and pinion ratchet and pinion slider crank mechanism
asked 5 days ago in Others gatecse 1.5k points
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Consider the surface roughness profile as shown in the figure The center line average roughness ($R_{a}$, in $\mu m$) of the measured length $\text{(L)}$ is $0$ $1$ $2$ $4$
asked 5 days ago in Others gatecse 1.5k points
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In which of the following pairs of cycles, both cycles have at least one isothermal process? Diesel cycle and Otto cycle Carnot cycle and Stirling cycle Brayton cycle and Rankine cycle Bell-Coleman cycle and Vapour compression refrigeration cycle
asked 5 days ago in Others gatecse 1.5k points
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Superheated steam at $\text{1500 kPa}$, has a specific volume of $2.75$ $m^{3}$/$\text{kmol}$ and compressibility factor $\text{(Z)}$ of $0.095$. The temperature of steam is _______________ $^{\circ}C$ (rounded off to the nearest integer). $522$ $471$ $249$ $198$
asked 5 days ago in Others gatecse 1.5k points
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A hot steel spherical ball is suddenly dipped into a low temperature oil bath. Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart? Biot number and Fourier number Reynolds number and Prandtl number Biot number and Froude number Nusselt number and Grashoff number
asked 5 days ago in Others gatecse 1.5k points
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An infinitely long pin fin, attached to an isothermal hot surface, transfers heat at a steady rate $\dot{Q}_{1}$ of to the ambient air. If the thermal conductivity of the fin material is doubled, while keeping everything else constant, the rate of steady-state heat transfer from the fin becomes $\dot{Q}_{2}$. The ratio $\dot{Q}_{2}/\dot{Q_{1}}$ is $\sqrt{2}$ $2$ $\frac{1}{\sqrt{2}}$ $\frac{1}{2}$
asked 5 days ago in Others gatecse 1.5k points
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The relative humidity of ambient air at $\text{300 K}$ is $50\%$ with a partial pressure of water vapour equal to $p_{v}$. The saturation pressure of water at $\text{300 K}$ is $p_{sat}$. The correct relation for the air-water mixture is $p_{v}=0.5\:p_{sat}$ $p_{v}=p_{sat}$ $p_{v}=0.622\:p_{sat}$ $p_{v}=2\:p_{sat}$
asked 5 days ago in Others gatecse 1.5k points
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Consider a reciprocating engine with crank radius $\text{R}$ and connecting rod of length $\text{L}$. The secondary unbalance force for this case is equivalent to primary unbalance force due to a virtual crank of _______________ radius $\frac{L^{2}}{4R}$ rotating at half the ... radius $\frac{R^{2}}{4L}$ rotating at twice the engine speed radius $\frac{L}{2}$ rotating at twice the engine speed
asked 5 days ago in Others gatecse 1.5k points
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A cantilever beam of length, $\text{L}$, and flexural rigidity, $\text{EI}$, is subjected to an end moment, $\text{M}$, as shown in the figure. The deflection of the beam at $x=\frac{L}{2}$ is $\frac{ML^{2}}{2EI}$ $\frac{ML^{2}}{4EI}$ $\frac{ML^{2}}{8EI}$ $\frac{ML^{2}}{16EI}$
asked 5 days ago in Others gatecse 1.5k points
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A prismatic bar $\text{PQRST}$ is subjected to axial loads as shown in the figure. The segments having maximum and minimum axial stresses, respectively, are $\text{QR}$ and $\text{PQ}$ $\text{ST}$ and $\text{PQ}$ $\text{QR}$ and $\text{RS}$ $\text{ST}$ and $\text{RS}$
asked 5 days ago in Others gatecse 1.5k points
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Shear stress distribution on the cross-section of the coil wire in a helical compression spring is shown in the figure. This shear stress distribution represents direct shear stress in the coil wire cross-section torsional shear stress in the coil wire cross- ... direct shear and torsional shear stress along with the effect of stress concentration at inside edge of the coil wire cross-section
asked 5 days ago in Others gatecse 1.5k points
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Robot $\text{Ltd}$. wishes to maintain enough safety stock during the lead time period between starting a new production run and its completion such that the probability of satisfying the customer demand during the lead time period is $95\%$. The lead time ... , to achieve this demand fulfillment probability for the lead time period is _____________ units (round off to two decimal places).
asked 5 days ago in Others gatecse 1.5k points
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A pressure measurement device fitted on the surface of a submarine, located at a depth $\text{H}$ below the surface of an ocean. reads an absolute pressure of $\text{4.2 MPa}$. The density of sea water is $\text{1050 kg/}$m^{3}$, the atmospheric pressure is $ ... $s^{2}$ The depth $\text{H}$ is _____________ $\text{m}$ (round off to the nearest integer).
asked 5 days ago in Others gatecse 1.5k points
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Consider fully developed, steady state incompressible laminar flow of a viscous fluid between two large parallel horizontal plates. The bottom plate is fixed and the top plate moves with a constant velocity of $\text{U= 4 m/s}$. Separation between the plates is $\text{5 mm}$. There is ... $\text{Pa}$ (round off to the nearest integer).
asked 5 days ago in Others gatecse 1.5k points
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A rigid insulated tank is initially evacuated. It is connected through a valve to a supply line that carries air at a constant pressure and temperature of $\text{250 kPa}$ and $\text{400 K}$ respectively. Now the valve is opened and air is allowed to flow into the tank until ... $\text{K}$ (round off to one decimal place).
asked 5 days ago in Others gatecse 1.5k points
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The figure shows an arrangement of a heavy propeller shaft in a ship. The combined polar mass moment of inertia of the propeller and the shaft is $\text{100 kg.}$m^{2}$. The propeller rotates at $\omega =12$ $ ... $\text{N.m}$ (round of to the nearest integer).
asked 5 days ago in Others gatecse 1.5k points
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Consider a single degree of freedom system comprising a mass $\text{M}$, support on a spring and a dashpot as shown in figure. If the amplitude of the free vibration response reduces from $\text{8 mm}$ to $\text{1.5 mm}$ in $3$ cycles, the damping ratio of the system is ______________ (round off to three decimal places).
asked 5 days ago in Others gatecse 1.5k points
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Consider a vector $\text{p}$ in $2$-dimensional space. Let its direction (counter-clockwise angle with the positive $\text{x}$-axis) be $\theta$. Let $\text{p}$ be an eigenvector od a $2\times2$ matrix $\text{A}$ withe corresponding eigenvalue $\lambda ,\lambda > 0$. If we denote the ... ${p}'=\theta ,\left \| {p}' \right \|= \left \| p \right \|/\lambda$
asked 5 days ago in Others gatecse 1.5k points
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Let $\text{C}$ represent the unit circle centered at origin in the complex plane, and complex variable, $z=x+iy$. The value of the contour integral $\oint _{C}\frac{cosh \:3z}{2z}\:dz$ (where integration is taken counter clockwise) is $0$ $2$ $\pi i$ $2 \pi i$
asked 5 days ago in Others gatecse 1.5k points
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A set of jobs $\text{A, B, C, D, E, F, G, H}$ arrive at time $t= 0$ for processing on turning and grinding machines. Each job needs to be processed in sequence first on the turning machine and second on the grinding machine. and the grinding must occur immediately after turning The processing times of the jobs are ... $\text{A-D-E-F-H-C-G-B}$ $\text{G-E-D-F-H-C-A-B}$ $\text{B-G-C-H-F-D-E-A}$
asked 5 days ago in Others gatecse 1.5k points
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The fundamental thermodynamic relation for a rubber band is given by $dU=TdS+\tau dL$, where $\text{T}$ is the absolute is the absolute temperature, $\text{S}$ is the entropy, $\tau$ is the tension in the rubber band, and $\text{L}$ is the length of the rubber band. Which one of the ... $T=\left ( \frac{\partial U}{\partial S} \right )_{\tau}$
asked 5 days ago in Others gatecse 1.5k points
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