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Recent questions tagged gateme-2021-set1

11 11 votes
3 answers 3 answers
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GATE Mechanical 2021 Set 1 | GA | Question: 1
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 s...
11 11 votes
4 answers 4 answers
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GATE Mechanical 2021 Set 1 | GA | Question: 2
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...
6 6 votes
2 answers 2 answers
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GATE Mechanical 2021 Set 1 | GA | Question: 3
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\;...
4 4 votes
2 answers 2 answers
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GATE Mechanical 2021 Set 1 | GA | Question: 4
If $\left\{\begin{matrix} “ \oplus” \; \text{means}\; “-” \\ “ \otimes” \; \text{means}\; “\div” \\ “ \triangle” \; \text{means}\; “+” \\ “ \triangledown” \; \text{m...
6 6 votes
3 answers 3 answers
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GATE Mechanical 2021 Set 1 | GA | Question: 5
“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...
4 4 votes
3 answers 3 answers
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GATE Mechanical 2021 Set 1 | GA | Question: 6
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...
9 9 votes
2 answers 2 answers
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GATE Mechanical 2021 Set 1 | GA | Question: 7
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...
5 5 votes
2 answers 2 answers
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GATE Mechanical 2021 Set 1 | GA | Question: 8
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...
5 5 votes
2 2 answers
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GATE Mechanical 2021 Set 1 | GA | Question: 9
$$\begin{array}{|c|c|} \hline \textbf{Company} & \textbf{Ratio} \\\hline C1 & 3:2 \\\hline C2 & 1:4 \\\hline C3 & 5:3 \\\hline C4 & 2:3 \\\hline C5 & 9:1 \\\hline C6 & 3:...
9 9 votes
3 answers 3 answers
1.3k
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GATE Mechanical 2021 Set 1 | GA | Question: 10
Five persons $\text{P, Q, R, S and T}$ are sitting in a row not necessarily in the same order. $Q$ and $R$ are separated by one person, and $S$ should not be seated adjac...
0 0 votes
0 0 answers
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GATE Mechanical 2021 Set 1 | Question: 1
If $y(x)$ satisfies the differential equation $(\sin x) \dfrac{\mathrm{d}y }{\mathrm{d} x} + y \cos x = 1,$subject to the condition $y(\pi/2) = \pi/2,$ then $y(\pi/6)$ is...
0 0 votes
0 0 answers
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477 views
GATE Mechanical 2021 Set 1 | Question: 2
The value of $\displaystyle{} \lim_{x \rightarrow 0} \left( \frac{1 – \cos x}{x^{2}}\right)$ is$\frac{1}{4}$$\frac{1}{3}$$\frac{1}{2}$$1$
0 0 votes
0 0 answers
557
557 views
GATE Mechanical 2021 Set 1 | Question: 3
The Dirac-delta function $\left ( \delta \left ( t-t_{0} \right ) \right )$ for $\text{t}$, $t_{0} \in \mathbb{R}$, has the following property$$\int_{a}^{b}\varphi \left ...
0 0 votes
0 0 answers
366
366 views
GATE Mechanical 2021 Set 1 | Question: 4
The ordinary differential equation $\dfrac{dy}{dt}=-\pi y$ subject to an initial condition $y\left ( 0 \right )=1$ is solved numerically using the following scheme:$$\fra...
1 1 vote
0 0 answers
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562 views
GATE Mechanical 2021 Set 1 | Question: 5
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...
0 0 votes
0 0 answers
552
552 views
GATE Mechanical 2021 Set 1 | Question: 6
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 0 votes
0 0 answers
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645 views
GATE Mechanical 2021 Set 1 | Question: 7
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 g...
0 0 votes
0 0 answers
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GATE Mechanical 2021 Set 1 | Question: 8
The correct sequence of machining operations to be performed to finish a large diameter through hole isdrilling, boring, reamingboring, drilling, reamingdrilling, reaming...
0 0 votes
0 0 answers
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928 views
GATE Mechanical 2021 Set 1 | Question: 9
In modern $\text{CNC}$ machine tools, the backlash has been eliminated bypreloaded ballscrewsrack and pinionratchet and pinionslider crank mechanism
0 0 votes
0 0 answers
637
637 views
GATE Mechanical 2021 Set 1 | Question: 10
Consider the surface roughness profile as shown in the figureThe center line average roughness ($R_{a}$, in $\mu m$) of the measured length $\text{(L)}$ is$0$$1$$2$$4$
0 0 votes
0 0 answers
659
659 views
GATE Mechanical 2021 Set 1 | Question: 11
In which of the following pairs of cycles, both cycles have at least one isothermal process?Diesel cycle and Otto cycleCarnot cycle and Stirling cycleBrayton cycle and Ra...
0 0 votes
0 0 answers
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274 views
GATE Mechanical 2021 Set 1 | Question: 12
Superheated steam at $\text{1500 kPa}$, has a specific volume of $2.75$ $\text{m$^{3}$/kmol}$ and compressibility factor $\text{(Z)}$ of $0.95$. The temperature of steam ...
0 0 votes
0 0 answers
296
296 views
GATE Mechanical 2021 Set 1 | Question: 13
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 cent...
0 0 votes
0 0 answers
331
331 views
GATE Mechanical 2021 Set 1 | Question: 14
An infinitely long pin fin, attached to an isothermal hot surface, transfers heat at a steady rate $\dot{Q}_{1}$ to the ambient air. If the thermal conductivity of the fi...
0 0 votes
0 0 answers
293
293 views
GATE Mechanical 2021 Set 1 | Question: 15
​​​​​​​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 $\te...
0 0 votes
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GATE Mechanical 2021 Set 1 | Question: 16
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...
0 0 votes
0 0 answers
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GATE Mechanical 2021 Set 1 | Question: 17
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...
0 0 votes
0 0 answers
532
532 views
GATE Mechanical 2021 Set 1 | Question: 18
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$\text{QR}$ an...
0 0 votes
0 0 answers
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GATE Mechanical 2021 Set 1 | Question: 19
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 representsdirect sh...
0 0 votes
0 0 answers
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GATE Mechanical 2021 Set 1 | Question: 20
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 ...
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