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Recent questions tagged gateme-2022-set1

3 3 votes
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GATE Mechanical 2022 Set 1 | GA | Question: 1
After playing __________ hours of tennis, I am feeling __________________ tired to walk back.too/tootoo/twotwo/ twotwo/too
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11 11 votes
2 answers 2 answers
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GATE Mechanical 2022 Set 1 | GA | Question: 2
The average of the monthly salaries of $\text{M, N}$ and $\text{S}$ is ₹$4000$. The average of the monthly salaries of $\text{N, S}$ and $\text{P}$ is ₹$5000$. The monthl...
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5 5 votes
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GATE Mechanical 2022 Set 1 | GA | Question: 3
A person travelled $80$ $\text{km}$ in $6$ hours. If the person travelled the first part with a uniform speed of $10$ $\text{kmph}$ and the remaining part with a uniform ...
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7 7 votes
3 3 answers
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GATE Mechanical 2022 Set 1 | GA | Question: 4
Four girls $\text{P, Q, R and S}$ are studying languages in a University. $\text{P}$ is learning French and Dutch. $\text{Q}$ is learning Chinese and Japanese. $\text{R}$...
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4 4 votes
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GATE Mechanical 2022 Set 1 | GA | Question: 5
A block with a trapezoidal cross-section is placed over a block with rectangular cross section as shown above.Which one of the following is the correct drawing of the vie...
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3 3 votes
2 2 answers
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GATE Mechanical 2022 Set 1 | GA | Question: 6
Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear "lost", it was found that wallets with money are more likely to b...
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4 4 votes
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GATE Mechanical 2022 Set 1 | GA | Question: 7
A rhombus is formed by joining the midpoints of the sides of a unit square.What is the diameter of the largest circle that can be inscribed within the rhombus?$\dfrac{1}{...
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3 3 votes
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GATE Mechanical 2022 Set 1 | GA | Question: 8
An equilateral triangle, a square and a circle have equal areas.What is the ratio of the perimeters of the equilateral triangle to square to circle?$3\sqrt{3} : 2 : \sqrt...
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3 3 votes
2 2 answers
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GATE Mechanical 2022 Set 1 | GA | Question: 9
​​​​​​Given below are three conclusions drawn based on the following three statements.Statement $1$ : All teachers are professors.Statement $2$ : No professor is a male.S...
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9 9 votes
4 4 answers
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GATE Mechanical 2022 Set 1 | GA | Question: 10
In a $12$-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a $12$-hour duration from $3$ PM in a day to $3$ ...
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0 0 votes
0 0 answers
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GATE Mechanical 2022 Set 1 | Question: 1
​​​​​​The limit $$p = \lim_{x\rightarrow \pi} \left ( \frac{x^{2} + \alpha x + 2 \pi^{2}}{x - \pi + 2 \sin x } \right )$$ has a finite value for a real $\alpha$. The valu...
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0 0 votes
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364
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GATE Mechanical 2022 Set 1 | Question: 2
Solution of $\triangledown ^{2} T = 0$ in a square domain ($0 < x< 1$ and $0 < y< 1$) with boundary conditions: $T \left ( x,0 \right ) = x; T \left ( 0,y \right ) = y; T...
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0 0 votes
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520
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GATE Mechanical 2022 Set 1 | Question: 3
Given a function $\varphi =\frac{1}{2}\left (x ^{2} + y^{2} + z^{2} \right )$ in three-dimensional Cartesian space, the value of the surface integral $$\oint_{s}\hat{n}\...
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0 0 votes
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376
376 views
GATE Mechanical 2022 Set 1 | Question: 4
The Fourier series expansion of $x^{3}$ in the interval $-1 \leq x < 1$ with periodic continuation hasonly sine termsonly cosine termsboth sine and cosine termsonly sine ...
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1 1 vote
0 0 answers
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GATE Mechanical 2022 Set 1 | Question: 5
If $A = \begin{bmatrix} 10 & 2k +5 \\ 3k - 3 & k +5 \end{bmatrix}$ is a symmetric matrix, the value of $k$ is __________________.$8$$5$$-0.4$$\frac{1 + \sqrt{1561}}{12}$
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0 0 votes
0 0 answers
722
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GATE Mechanical 2022 Set 1 | Question: 6
A uniform light slender beam $\text{AB}$ of section modulus $\text{EI}$ is pinned by a frictionless joint $A$ to the ground and supported by a light inextensible cable $\...
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0 0 votes
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GATE Mechanical 2022 Set 1 | Question: 7
The figure shows a schematic of a simple Watt governor mechanism with the spindle $O_{1}O_{2}$ rotating at an angular velocity $\omega$ about a vertical axis. The balls a...
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0 0 votes
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287
287 views
GATE Mechanical 2022 Set 1 | Question: 8
A square threaded screw is used to lift a load $W$ by applying a force $F$. Efficiency of square threaded screw is expressed asThe ratio of work done by $W$ per revolutio...
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0 0 votes
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400
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GATE Mechanical 2022 Set 1 | Question: 9
A $\text{CNC}$ worktable is driven in a linear direction by a lead screw connected directly to a stepper motor. The pitch of the lead screw is $5$ $\text{mm}$. The steppe...
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0 0 votes
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303
303 views
GATE Mechanical 2022 Set 1 | Question: 10
The type of fit between a mating shaft of diameter $25.0 ^{+0.010}_{- 0.010}$ $\text{mm}$ and a hole of diameter $25.015 ^{+0.015}_{- 0.015}$ $\text{mm}$ is ____________...
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0 0 votes
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386
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GATE Mechanical 2022 Set 1 | Question: 11
In a linear programming problem, if a resource is not fully utilized, the shadow price of that resource ispositivenegativezeroinfinity
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334
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GATE Mechanical 2022 Set 1 | Question: 12
Which one of the following is NOT a form of inventory?Raw materialsWork-in-process materialsFinished goods$\text{CNC}$ Milling Machines
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296
296 views
GATE Mechanical 2022 Set 1 | Question: 13
The Clausius inequality holds good forany processany cycleonly reversible processonly reversible cycle
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GATE Mechanical 2022 Set 1 | Question: 14
A tiny temperature probe is fully immersed in a flowing fluid and is moving with zero relative velocity with respect to the fluid. The velocity field in the fluid is $\ve...
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0 0 votes
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529
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GATE Mechanical 2022 Set 1 | Question: 15
​​​​​​In the following two-dimensional momentum equation for natural convection over a surface immersed in a quiescent fluid at temperature $T_{\infty}$ ($g$ is the gravi...
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0 0 votes
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786
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GATE Mechanical 2022 Set 1 | Question: 16
Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the foll...
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0 0 votes
0 0 answers
318
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GATE Mechanical 2022 Set 1 | Question: 17
Which of the following heat treatment processes is/are used for surface hardening of steels?CarburizingCyanidingAnnealingCarbonitriding
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0 0 votes
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704
704 views
GATE Mechanical 2022 Set 1 | Question: 18
Which of the following additive manufacturing technique(s) can use a wire as a feedstock material?StereolithographyFused deposition modelingSelective laser sinteringDirec...
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0 0 votes
0 0 answers
540
540 views
GATE Mechanical 2022 Set 1 | Question: 19
Which of the following methods can improve the fatigue strength of a circular mild steel $\text{(MS)}$ shaft?Enhancing surface finishShot peening of the shaftIncreasing r...
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GATE Mechanical 2022 Set 1 | Question: 20
The figure shows a purely convergent nozzle with a steady, inviscid compressible flow of an ideal gas with constant thermophysical properties operating under choked condi...
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