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Recent questions tagged gateme-2019-set1
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GATE Mechanical 2019 Set 1 | GA Question: 1
John Thomas, an _________ writer, passed away in $2018$. imminent prominent eminent dominant
Arjun
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Verbal Aptitude
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
verbal-ability
most-appropriate-word
0
answers
0
votes
GATE Mechanical 2019 Set 1 | GA Question: 2
____I permitted him to leave, I wouldn’t have had any problem with him being absent, ____ I? Had, wouldn’t Have, would Had, would Have, wouldn’t
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in
Verbal Aptitude
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
verbal-ability
english-grammar
0
answers
0
votes
GATE Mechanical 2019 Set 1 | GA Question: 3
A worker noticed that the hour hand on the factory clock had moved by $225$ degrees during her stay at the factory. For how long did she stay in the factory? $3.75$ hours $4$ hours and $15$ mins $8.5$ hours $7.5$ hours
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in
Quantitative Aptitude
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-ability
clock-time
1
answer
0
votes
GATE Mechanical 2019 Set 1 | GA Question: 4
The sum and product of two integers are $26$ and $165$ respectively. The difference between these two integers is ______ $2$ $3$ $4$ $6$
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Quantitative Aptitude
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-ability
number-system
0
answers
0
votes
GATE Mechanical 2019 Set 1 | GA Question: 5
The minister avoided any mention of the issue of women’s reservation in the private sector. He was accused of ______ the issue. collaring skirting tying belting
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asked
in
Verbal Aptitude
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
verbal-ability
most-appropriate-word
2
answers
0
votes
GATE Mechanical 2019 Set 1 | GA Question: 6
Under a certain legal system, prisoners are allowed to make one statement. If their statements turns out to be true then they are hanged. If the statements turns to be false then they are shot. One prisoner made a statement and the judge ... could be that statement? I did not commit the crime I committed the crime I will be shot You committed the crime
Arjun
asked
in
Verbal Aptitude
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
verbal-ability
verbal-reasoning
passage-reading
0
answers
0
votes
GATE Mechanical 2019 Set 1 | GA Question: 7
A person divided an amount of Rs. $100,000$ into two parts and invested in two different schemes. In one he got $10 \%$ profit and in the other he got $12 \%$. If the profit percentages are interchanged with these investments he would have got Rs. $120$ less. Find the ratio between his investments in the two schemes. $9:16$ $11:14$ $37:63$ $47:53$
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in
Quantitative Aptitude
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-ability
profit-loss
0
answers
0
votes
GATE Mechanical 2019 Set 1 | GA Question: 8
Congo was named by Europeans, Congo's dictator Mobuto later changed the name of the county and the river to Zaire with the objective of Africanising names of persons and spaces. However, the name Zaire was a Portuguese alteration of ... was prevented by the Portuguese As a dictator Mobuto ordered the Portuguese to alter the name of the river to Zaire
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asked
in
Verbal Aptitude
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
verbal-ability
verbal-reasoning
passage-reading
0
answers
1
vote
GATE Mechanical 2019 Set 1 | GA Question: 9
A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at these skills levels of total employment in $2010$ is given in the pie chart as shown. There were a total of $600$ employees in $2010$ and the total ... from $2010$ to $2016$, how many employees were there at skill level T in $2016$? $30$ $35$ $60$ $72$
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asked
in
Quantitative Aptitude
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-ability
data-interpretation
pie-chart
0
answers
0
votes
GATE Mechanical 2019 Set 1 | GA Question: 10
$M$ and $N$ had four children $P$, $Q$, $R$ and $S$. Of them, only $P$ and $R$ were married. They had children $X$ and $Y$ respectively. If $Y$ is a legitimate child of $W$, which of the following statements is necessarily FALSE? $M$ is the grandmother of $Y$ $R$ is the father of $Y$ $W$ is the wife of $R$ $W$ is the wife of $P$
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Analytical Aptitude
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
analytical-aptitude
family-relationships
1
answer
1
vote
GATE2019 ME-1: 1
Consider the matrix $P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$ The number of distinct eigenvalues $0$ $1$ $2$ $3$
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asked
in
Linear Algebra
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
linear-algebra
matrices
eigen-values
0
answers
0
votes
GATE2019 ME-1: 2
A parabola $x=y^2$ with $0 \leq x \leq 1$ is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by $360^{\circ}$ around x-axis is $\dfrac{\pi}{4} \\$ $\dfrac{\pi}{2} \\$ ${\pi} \\$ $2 \pi$
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asked
in
Calculus
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
calculus
area-under-curve
1
answer
0
votes
GATE2019 ME-1: 3
For the equation $\dfrac{dy}{dx}+7x^2y=0$, if $y(0)=3/7$, then the value of $y(1)$ is $\dfrac{7}{3}e^{-7/3} \\$ $\dfrac{7}{3}e^{-3/7} \\$ $\dfrac{3}{7}e^{-7/3} \\$ $\dfrac{3}{7}e^{-3/7}$
Arjun
asked
in
Differential Equations
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
differential-equations
0
answers
0
votes
GATE2019 ME-1: 4
The lengths of a large stock of titanium rods follow a normal distribution with a mean $(\mu)$ of $440$ mm and a standard deviation $(\sigma)$ of $1$ mm.What is the percentage of rods whose lengths lie between $438$ mm and $441$ mm? $81.85 \%$ $68.4 \%$ $99.75 \%$ $86.64 \%$
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Others
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
applied-mechanics-and-design
engineering-mechanics
0
answers
0
votes
GATE2019 ME-1: 5
A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity $\omega$. At time $t=0$, the vertical position of the follower is $y(0)=0$, and the system is in the configuration shown below: The vertical position of the follower face, $(y(t)$ is given by $e \sin \omega t$ $e(1+ \cos 2 \omega t)$ $e(1- \cos \omega t)$ $e \sin 2 \omega t$
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
applied-mechanics-and-design
0
answers
0
votes
GATE2019 ME-1: 6
The natural frequencies corresponding to the spring-mass systems $I$ and $II$ are $\omega_1$ and $\omega_{II}$, respectively. The ratio $\dfrac{\omega_I}{\omega_{II}}$ is $\dfrac{1}{4} \\$ $\dfrac{1}{2} \\$ $2 \\$ $4$
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
GATE2019 ME-1: 7
A spur gear with $20^{\circ}$ full depth teeth is transmitting $20 \: kW$ at $200 \: rad/s$. The pitch circle diameter of the gear is $100 \: mm$. The magnitude of the force applied on the gear in the radial direction is $0.36 \: kN$ $0.73 \: kN$ $1.39 \: kN$ $2.78 \: kN$
Arjun
asked
in
Machine Design
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
gears
machine-design
applied-mechanics-and-design
0
answers
0
votes
GATE2019 ME-1: 8
During a non-flow thermodynamic process $(1-2)$ executed by a perfect gas, the heat interaction is equal to the work interaction $(Q_{1-2} = W_{1-2})$ when the process is Isentropic Polytropic Isothermal Adiabatic
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Thermodynamics
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
fluid-mechanics-and-thermal-science
thermodynamics
0
answers
0
votes
GATE2019 ME-1: 9
For a hydrodynamically and thermally fully developed laminar flow through a circular pipe of constant cross-section, the Nusselt number at constant wall heat flux $(Nu_q)$ and that at constant wall temperature $(Nu_T)$ are related as $Nu_q > Nu_T$ $Nu_q < Nu_T$ $Nu_q = Nu_T$ $Nu_q = (Nu_T)^2$
Arjun
asked
in
Fluid Mechanics
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
fluid-mechanics-and-thermal-science
fluid-mechanics
flow-through-pipes
0
answers
0
votes
GATE2019 ME-1: 10
As per common design practice, the three types of hydraulic turbines, in descending order of flow rate, are Kaplan, Francis, Pelton Pelton, Francis, Kaplan Francis, Kaplan, Pelton Pelton, Kaplan, Francis
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asked
in
Applications
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
fluid-mechanics-and-thermal-science
applications
turbomachinary
0
answers
0
votes
GATE2019 ME-1: 11
A slender rod of length $L$, diameter $d$ $(L > >d)$ and thermal conductivity $k_1$ is joined with another rod of identical dimensions, but of thermal conductivity $k_2$, to form a composite cylindrical rod of length $2L$. The heat transfer in radial direction and ... composite rod is $k_1+k_2 \\$ $\sqrt{k_1k_2} \\$ $\dfrac{k_1k_2}{k_1+k_2} \\$ $\dfrac{2k_1k_2}{k_1+k_2}$
Arjun
asked
in
Heat Transfer
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
fluid-mechanics-and-thermal-science
heat-transfer
0
answers
0
votes
GATE2019 ME-1: 12
Consider an ideal vapor compression refrigeration cycle. If the throttling process is replaced by an isentropic expansion process, keeping all the other processes unchanged, which one of the following statements is true for the modified cycle? Coefficient of ... performance is the same as that of the original cycle Refrigerating effect is lower than that of the original cycle
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asked
in
Applications
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
fluid-mechanics-and-thermal-science
applications
refrigeration-and-air-conditioning
0
answers
0
votes
GATE2019 ME-1: 13
In a casting process, a vertical channel through which molten metal flows downward from pouring basin to runner for reaching the mold cavity is called blister sprue riser pin hole
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asked
in
Materials, Manufacturing and Industrial Engineering
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
0
answers
0
votes
GATE2019 ME-1: 14
Which one of the following welding methods provides the highest heat flux $(W/mm^2)$? Oxy-acetylene gas welding Tungsten inert gas welding Plasma arc welding Laser beam welding
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
principles-of-welding
0
answers
0
votes
GATE2019 ME-1: 15
The length, width and thickness of a steel sample are $400$ mm, $40$ mm and $20$ mm, respectively. Its thickness needs to be uniformly reduced by $2$ mm in a single pass by using horizontal slab milling. The milling cutter (diameter: $100$ mm, width: $50$ mm) has $20$ ... task are $14$ mm, $18.4$ s $21$ mm, $28.9$ s $21$ mm, $39.4$ s $14$ mm, $21.4$ s
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operation
0
answers
0
votes
GATE2019 ME-1: 15
The position vector $\overrightarrow{OP}$ of point $P(20,10)$ is rotated anti-clockwise in $X-Y$ plane by an angle $\theta = 30^{\circ}$ such that point $P$ occupies position $Q$, as shown in the figure. The coordinates $(x,y)$ of $Q$ are $(13.40,22.32)$ $(22.32, 8.26)$ $(12.32, 18.66)$ $(18.66, 12.32)$
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Materials, Manufacturing and Industrial Engineering
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operation
0
answers
0
votes
GATE2019 ME-1: 17
The table presents the demand of a product. By simple three-months moving average method, the demand-forecast of the product for the month of September is ... $490$ $510$ $530$ $536.67$
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asked
in
Materials, Manufacturing and Industrial Engineering
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
materials-manufacturing-and-industrial-engineering
operations-research
0
answers
0
votes
GATE2019 ME-1: 18
Evaluation of $\int_2^4 x^3 dx$ using a $2$-equal-segment trapezoidal rule gives a value of _______
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in
Numerical Methods
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
0
answers
0
votes
GATE2019 ME-1: 19
A block of mass $10$ kg rests on a horizontal floor. The acceleration due to gravity is $9.81 \: m/s^2$. The coefficient of static friction between the floor and the block is $0.2$. A horizontal force of $10$ N is applied on the block as shown in the figure. The magnitude of force of friction (in N) on the block is _____
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in
Theory of Machines
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-answers
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
GATE2019 ME-1: 20
A cylindrical rod of diameter $10$ mm and length $0.1$m fixed at one end. The other end is twisted by an angle of $10^{\circ}$ by applying a torque. If the maximum shear strain in the rod is $p \times 10^{-3}$, then $p$ is equal to ____ (round off to two decimal places).
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Applied Mechanics and Design
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
0
answers
0
votes
GATE2019 ME-1: 21
A solid cube of side $1$ m is kept at a room temperature of $32^{\circ} C$. The coefficient of linear thermal expansion of the cube material is $1 \times 10^{-5} / ^{\circ}C$ and the bulk modulus is $200$ GPa. If the cube is constrained all around and heated uniformly to $42^{\circ}C$, then the magnitude of volumetric (mean) stress (in MPa) included due to heating is _______
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in
Heat Transfer
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
0
answers
0
votes
GATE2019 ME-1: 22
During a high cycle fatigue test, a metallic specimen is subjected to cyclic loading with a mean stress of $+140$ MPa, and a minimum stress of $-70$ MPa. The $R$-ratio (minimum stress to maximum stress) for this cyclic loading is _____ (round off to one decimal place)
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Applied Mechanics and Design
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
0
answers
0
votes
GATE2019 ME-1: 23
Water flows through a pipe with a velocity given by $\overrightarrow{V}= \bigg( \dfrac{4}{t}+x+y \bigg) \hat{j} \: m/s$, where $\hat{j}$ is the unit vector in the $y$ direction, $t(>0)$ is in seconds, and $x$ and $y$ are in meters. The magnitude of total acceleration at the point $(x,y)=(1,1)$ at $t=2\: s$ is ______$m/s^2$
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asked
in
Fluid Mechanics
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
flow-through-pipes
0
answers
0
votes
GATE2019 ME-1: 24
Air of mass $1$ kg, initially at $300$ K and $10$ bar, is allowed to expand isothermally till it reaches a pressure of $1$ bar. Assuming air as an ideal gas with gas constant of $0.287 \: kJ/kg.K$, the change in entropy of air (in $kJ/kg.K$, round off to two decimal places) is ______
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in
Thermodynamics
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-answers
fluid-mechanics-and-thermal-science
thermodynamics
0
answers
0
votes
GATE2019 ME-1: 25
Consider the stress-strain curve for an ideal elastic-plastic strain hardening metal as shown in the figure. The metal was loaded in uniaxial tension starting from $O$. Upon loading, the stress-strain curve passes through initial yield point at $P$, and then ... specimen is reloaded in tension from point $R$, the value of stress at which the material yields again is _______ MPa.
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asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
0
answers
0
votes
GATE2019 ME-1: 26
The set of equations $\begin{array}{l} x+y+z=1 \\ ax-ay+3z=5 \\ 5x-3y+az=6 \end{array}$ has infinite solutions, if $a=$ $-3$ $3$ $4$ $-4$
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asked
in
Linear Algebra
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
linear-algebra
system-of-equations
0
answers
0
votes
GATE2019 ME-1: 27
A harmonic function is analytic if it satisfies the Laplace equation. If $u(x,y)=2x^2-2y^2+4xy$ is a harmonic function, then its conjugate harmonic function $v(x,y)$ is $4xy-2x^2+2y^2+ \text{constant}$ $4y^2-4xy + \text{constant}$ $2x^2-2y^2+ xy + \text{constant}$ $-4xy+2y^2-2x^2+ \text{constant}$
Arjun
asked
in
Differential Equations
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
differential-equations
laplace-transforms
0
answers
0
votes
GATE2019 ME-1: 28
The variable $x$ takes a value between $0$ and $10$ with uniform probability distribution. The variable $y$ takes a value between $0$ and $20$ with uniform probability distribution. The probability of the sum of variables $(x+y)$ being greater then $20$ is $0$ $0.25$ $0.33$ $0.50$
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asked
in
Probability and Statistics
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
probability-and-statistics
probability
uniform-distribution
0
answers
0
votes
GATE2019 ME-1: 29
A car having weight $W$ is moving in the direction as shown in the figure. The center of gravity (CG) of the car is located at height $h$ from the ground, midway between the front and rear wheels. The distance between front and rear wheel is $l$. The acceleration of the car is $a$, and ... $R_f=R_r = \dfrac{W}{2}+\dfrac{W}{g} \bigg( \dfrac{h}{l} \bigg) a$
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asked
in
Theory of Machines
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
GATE2019 ME-1: 30
In a four bar planar mechanism shown in the figure, $AB= 5 \: cm, AD=4 \: cm $ and $DC=2 \: cm$. In the configuration shown, both AB and DC are perpendicular to AD. The bar AB rotates with an angular velocity of $10 \: rad/s$. The magnitude of angular velocity (in rad/s) of bar DC at this instant is $0$ $10$ $15$ $25$
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asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
28.5k
points
gateme-2019-set1
applied-mechanics-and-design
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