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Recent questions tagged gateme-2017-set2
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GATE Mechanical 2017 Set 2 | GA Question: 9
All people in a certain island are either 'Knights' or 'Knaves' and each person knows every other person's identity. Knights never lie, and Knaves ALWAYS lie. $P$ says "Both of us are Knights". $Q$ says "None of us are Knaves". ... knight; $Q$ is a Knave. Both $P$ and $Q$ are Knaves. The identities of $P, Q$ cannot be determined.
Arjun
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Analytical Aptitude
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
analytical-aptitude
logical-reasoning
0
answers
0
votes
GATE Mechanical 2017 Set 2 | GA Question: 8
There are $4$ women $P, Q, R, S$ and $5$ men $V, W, X, Y, Z$ in a group. We are required to form pairs each consisting of one woman and one man. $P$ is not to be paired with $Z$, and $Y$ must necessarily be paired with someone. In how many ways can $4$ such pairs be formed? $74$ $76$ $78$ $80$
Arjun
asked
in
Quantitative Aptitude
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-ability
counting
1
answer
0
votes
GATE Mechanical 2017 Set 2 | GA Question: 7
$X$ bullocks and $Y$ tractors take $8$ days to plough a field. If we have the number of bullocks and double the number of tractors, it takes $5$ days to plough the same field. How many days will it take $X$ bullocks alone to plough the field? $30$ $35$ $40$ $45$
Arjun
asked
in
Quantitative Aptitude
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-ability
work-time
0
answers
0
votes
GATE Mechanical 2017 Set 2 | GA Question: 6
"If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects ... recording of these matters." Which of the following is closest in meaning to 'cleaving' ? deteriorating arguing departing splitting
Arjun
asked
in
Verbal Aptitude
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
verbal-ability
verbal-reasoning
passage-reading
0
answers
0
votes
GATE Mechanical 2017 Set 2 | GA Question: 5
$P$ looks at $Q$ while $Q$ looks at $R$. $P$ is married, $R$ is not. The number of pairs of people in which a married person is looking at an unmarried person is $0$ $1$ $2$ Cannot be determined.
Arjun
asked
in
Analytical Aptitude
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
analytical-aptitude
logical-reasoning
0
answers
0
votes
GATE Mechanical 2017 Set 2 | GA Question: 4
A couple has $2$ children. The probability that both children are boys if the older one is a boy is $1/4$ $1/3$ $1/2$ $1$
Arjun
asked
in
Quantitative Aptitude
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-ability
probability
0
answers
0
votes
GATE Mechanical 2017 Set 2 | GA Question: 3
If $a$ and $b$ are integers and $a-b$ is even, which of the following must always be even? $ab$ $a^{2}+b^{2}+1$ $a^{2}+b+1$ $ab-b$
Arjun
asked
in
Quantitative Aptitude
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-ability
algebra
0
answers
0
votes
GATE Mechanical 2017 Set 2 | GA Question: 2
If you choose plan $P$, you will have to _________ plan $Q$, as these two are mutually ________. forgot, exclusive forget, inclusive accept, exhaustive adopt, intrusive
Arjun
asked
in
Verbal Aptitude
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
verbal-ability
word-pairs
0
answers
0
votes
GATE Mechanical 2017 Set 2 | GA Question: 10
In the graph below, the concentration of a particular pollutant in a lake is plotted over (alternate) days of a month in winter (average temperature $10^{\circ} C$) and a month in summer (average temperature $30^{\circ} C$). Consider the ... in the winter month. Which one of the following options is correct? Only i Only ii Both i and ii Neither i nor ii
Arjun
asked
in
Quantitative Aptitude
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-ability
data-interpretation
line-graph
0
answers
0
votes
GATE Mechanical 2017 Set 2 | GA Question: 1
The ways in which this game can be played _________ potentially infinite. is is being are are being
Arjun
asked
in
Verbal Aptitude
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
verbal-ability
english-grammar
0
answers
0
votes
GATE2017 ME-2: 51
Maximise $Z=5x_{1}+3x_{2}$ subject to $\begin{array}{} x_{1}+2x_{2} \leq 10, \\ x_{1}-x_{2} \leq 8, \\ x_{1}, x_{2} \geq 0 \end{array}$ In the starting Simplex tableau, $x_{1}$ and $x_{2}$ are non-basic variables and the value of $Z$ is zero. The value of $Z$ in the next Simplex tableau is _______.
Arjun
asked
in
Numerical Methods
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
numerical-methods
linear-programming
0
answers
0
votes
GATE2017 ME-2: 55
In an orthogonal machining with a tool of $9^{\circ}$ orthogonal rake angle, the uncut chip thickness is $0.2$ mm. The chip thickness fluctuates between $0.25$ mm and $0.4$ mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________.
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
0
answers
0
votes
GATE2017 ME-2: 54
During the turning of a $20$ mm- diameter steel bar at a spindle speed of $400$ rpm, a tool life of $20$ minute is obtained. When the same bar is turned at $200$ rpm, the tool life becomes $60$ minute. Assume that Taylor's tool life equation is valid. When the bar is turned at $300$ rpm, the tool life (in minute) is approximately. $25$ $32$ $40$ $50$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
tool-life-and-wear
0
answers
0
votes
GATE2017 ME-2: 53
A cylindrical pin of $25^{+0.020}_{+0.010}$ mm diameter is electroplated. Plating thickness is $2.0^{\pm0.005}$ mm. Neglecting the gauge tolerance, the diameter (in mm, up to $3$ decimal points accuracy) of the GO ring gauge to inspect the plated pin is __________.
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
materials-manufacturing-and-industrial-engineering
metrology-and-inspection
alignment-and-testing-methods
0
answers
0
votes
GATE2017 ME-2: 52
A strip of $120$ mm width and $8$ mm thickness is rolled between two $300$ mm-diameter rolls to get a strip of $120$ mm width and $7.2$ mm thickness. The speed of the strip at the exit is $30$ m/min. There is no front or back tension. ... $100\%$ mechanical efficiency, the minimum total power (in $kW$) required to drive the two rolls is _______.
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
1
answer
1
vote
GATE2017 ME-2: 50
A rod of length $20$ mm is stretched to make a rod of length $40$ mm. Subsequently, it is compressed to make a rod of final length $10$ mm. Consider the longitudinal tensile strain as positive and compressive strain as negative. The total true longitudinal strain in the rod is $-0.5$ $-0.69$ $-0.75$ $-1.0$
Arjun
asked
in
Mechanics of Materials
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
GATE2017 ME-2: 49
A project starts with activity $A$ and ends with activity $F$ ... The minimum project completion time (in days) is _________.
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
materials-manufacturing-and-industrial-engineering
operations-research
0
answers
0
votes
GATE2017 ME-2: 48
A product made in two factories, $P$ and $Q$, is transported to two destinations, $R$ and $S$ ... the minimum) total transportation cost is $Y$ (in Rupees), then $(X-Y)$, in Rupees, is $0$ $15$ $35$ $105$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
materials-manufacturing-and-industrial-engineering
operations-research
0
answers
0
votes
GATE2017 ME-2: 47
A metal ball of diameter $60$ mm is initially at $220^{\circ}$ C. The ball is suddenly cooled by an air jet of $20^{\circ}$ C. The heat transfer coefficient is $200 W/m^{2}.K$ ... $^{\circ} C$) after $90$ seconds will be approximately $141$ $163$ $189$ $210$
Arjun
asked
in
Heat Transfer
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
fluid-mechanics-and-thermal-science
heat-transfer
0
answers
0
votes
GATE2017 ME-2: 46
In a counter-flow heat exchanger, water is heated at the rate of $1.5 \: kg/s$ from $40^{\circ}$ C to $80^{\circ} \: C$ by an oil entering at $120^{\circ}$ C and leaving at $60 ^{\circ}$ C. The specific heats of water and oil are $4.2 \: kJ/kg.K$ and ... transfer coefficient is $400 W/m^{2}.K$. The required heat transfer surface area (in $m^{2}$) is $0.104$ $0.022$ $10.4$ $21.84$
Arjun
asked
in
Heat Transfer
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
fluid-mechanics-and-thermal-science
heat-transfer
heat-exchanger
0
answers
0
votes
GATE2017 ME-2: 45
The volume and temperature of air (assumed to be an ideal gas) in a closed vessel is $2.87 m^{3}$ and $300 \: K$, respectively. The gauge pressure indicated by a manometer fitted to the wall of the vessel is $0.5$ bar. If the gas constant of air is $R=287 \: J/kg.K$ and the atmospheric pressure is $1$ bar, the mass of air (in $kg$) in the vessel is $1.67$ $3.33$ $5.00$ $6.66$
Arjun
asked
in
Thermodynamics
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
fluid-mechanics-and-thermal-science
thermodynamics
0
answers
0
votes
GATE2017 ME-2: 44
One kg of an ideal gas (gas constant $R= 287\: J/kg.K$) undergoes an irreversible process from state-$1$ ($1$ bar, $300 \: K$) to state-$2$ ($2$ bar, $300\: K$). The change in specific entropy $(s_{2} - s_{1})$ of the gas (in $J/kg.K$) in the process is _________.
Arjun
asked
in
Thermodynamics
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
fluid-mechanics-and-thermal-science
thermodynamics
0
answers
0
votes
GATE2017 ME-2: 43
A calorically perfect gas (specific heat at constant pressure $1000 \: J/kg .K$) enters and leaves a gas turbine with the same velocity. The temperatures of the gas at turbine entry and exit are $1100 \: K $and $400 \: K$, respectively. The power produced is $4.6\: MW$ ... turbine casing. The mass flow rate of the gas (in $kg/s$) through the turbine is $6.14$ $7.00$ $7.50$ $8.00$
Arjun
asked
in
Applications
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
fluid-mechanics-and-thermal-science
applications
turbomachinary
0
answers
0
votes
GATE2017 ME-2: 42
In the Rankine cycle for a steam power plant, the turbine entry and exit enthalpies are $2803 \: kJ/kg$ and $1800 \: kJ/kg$, respectively. The enthalpies of water at pump entry and exit are $121 \: kJ/kg$ and $124 \: kJ/kg$, respectively. The specific steam consumption (in $kg/kW.h$) of the cycle is _________.
Arjun
asked
in
Applications
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
fluid-mechanics-and-thermal-science
applications
turbomachinary
0
answers
0
votes
GATE2017 ME-2: 41
For the laminar flow of water over a sphere, the drag coefficient $C_{F}$ is defined as $C_{F}=F/(\rho U^{2} D^{2})$, where $F$ is the drag force, $\rho$ is the fluid density, $U$ is the fluid velocity and $D$ is the diameter ... $200$ mm under dynamically similar conditions, the drag force (in N) on this sphere is ________.
Arjun
asked
in
Fluid Mechanics
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
0
answers
0
votes
GATE2017 ME-2: 40
A $60$ mm-diameter water jet strikes a plate containing a hole of $40$ mm diameter as shown in the figure. Part of the jet passes through the hole horizontally and the remaining is deflected vertically. The density of water is $1000 kg/m^{3}$. If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is _________.
Arjun
asked
in
Fluid Mechanics
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
flow-through-pipes
0
answers
0
votes
GATE2017 ME-2: 39
The arrangement shown in the figure measures the velocity $V$ of a gas of density $1 kg/m^{3}$ flowing through a pipe. The acceleration due to gravity is $9.81 m/s^{2}$. If the manometric fluid is water (density $1000 \: kg/m^{3}$) and the velocity $V$ is $20 m/s$, the differential head $h$ (in mm) between the two arms of the manometer is __________.
Arjun
asked
in
Fluid Mechanics
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
flow-through-pipes
0
answers
0
votes
GATE2017 ME-2: 38
The rod $PQ$ of length $L=\sqrt{2}$ m, and uniformly distributed mass of $M=10$ kg, is released from rest at the position shown in the figure. The ends slide along the frictionless faces $OP$ and $OQ$. Assume acceleration due to gravity, $g=10 m/s^{2}$. ... figure is $(ML^{2}/12)$. At this instant, the magnitude of angular acceleration (in radian/$s^{2}$) of the rod is __________.
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
0
answers
0
votes
GATE2017 ME-2: 37
The principal stresses at a point in a critical section of a machine component are $\sigma _{1}=60$ MPa, $\sigma _{2}=5$ MPa and $\sigma _{3}=-40$ MPa. For the material of the component, the tensile yield strength is $\sigma _{y}=200$ MPa. According to the maximum shear stress theory, the factor of safety is $1.67$ $2.00$ $3.60$ $4.00$
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
applied-mechanics-and-design
mechanics-of-materials
stress-strain
0
answers
0
votes
GATE2017 ME-2: 36
A single-plate clutch has a friction disc with inner and outer radii of $20$ mm and $40$ mm, respectively. The friction lining in the disc is made in such a way that the coefficient of friction $\mu$ varies radially as $\mu=0.01r$, where $r$ is in ... to transmit a friction torque of $18.85$ kN.mm. As per uniform pressure theory, the pressure (in MPa) on the disc is ________.
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
applied-mechanics-and-design
0
answers
0
votes
GATE2017 ME-2: 35
A steel plate, connected to a fixed channel using three identical bolts $A, B$ and $C$, carries a load of $6$ kN as shown in the figure. Considering the effect of direct load and moment, the magnitude of resultant shear force (in kN) on bolt $C$ is $13$ $15$ $17$ $30$
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
applied-mechanics-and-design
machine-design
bolted-joints
0
answers
0
votes
GATE2017 ME-2: 34
Three masses are connected to a rotating shaft supported on bearings $A$ and $B$ ... and for a shaft angular speed of $1000$ radian/s, the magnitude of the bearing reaction (in N) at location $B$ is ___________.
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
applied-mechanics-and-design
machine-design
bearings
0
answers
0
votes
GATE2017 ME-2: 33
A helical compression spring made of a wire of circular cross-section is subjected to a compressive load. The maximum shear stress induced in the cross-section of the wire is $24$MPa. For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, the maximum shear stress (in MPa) induced in the cross-section of the wire is __________.
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
applied-mechanics-and-design
machine-design
springs
1
answer
0
votes
GATE2017 ME-2: 29
If $f(z)=(x^{2}+ay^{2})+i bxy$ is a complex analytic function of $z=x+iy$, where $i=\sqrt{-1}$, then $a=-1, b=-1$ $a=-1, b=2$ $a=1, b= 2$ $a=2, b=2$
Arjun
asked
in
Calculus
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
calculus
complex-variables
1
answer
0
votes
GATE2017 ME-2: 28
Consider the matrix $A=\begin{bmatrix} 50 &70 \\ 70 & 80 \end{bmatrix}$ whose eigenvectors corresponding to eigenvalues $\lambda _{1}$ and $\lambda _{2}$ are $x_{1}=\begin{bmatrix} 70 \\ \lambda_{1}-50 \end{bmatrix}$ and $x_{2}=\begin{bmatrix} \lambda _{2}-80\\ 70 \end{bmatrix}$, respectively. The value of $x^{T}_{1} x_{2}$ is _________.
Arjun
asked
in
Linear Algebra
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
linear-algebra
eigen-values
eigen-vectors
0
answers
0
votes
GATE2017 ME-2: 27
Consider the differential equation $3y" (x)+27 y (x)=0$ with initial conditions $y(0)=0$ and $y'(0)=2000$. The value of $y$ at $x=1$ is ________.
Arjun
asked
in
Differential Equations
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
differential-equations
0
answers
0
votes
GATE2017 ME-2: 26
The surface integral $\int \int _{s} F.n $ dS over the surface $S$ of the sphere $x^{2}+y^{2}+z^{2}=9$, where $F=(x+y) i+(x+z) j+(y+z)k$ and $n$ is the unit outward surface normal, yields ________.
Arjun
asked
in
Calculus
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
calculus
surface-integral
0
answers
0
votes
GATE2017 ME-2: 24
The standard deviation of linear dimensions $P$ and $Q$ are $3 \mu$ m and $4 \mu$ m, respectively. When assembled, the standard deviation (in $\mu$ m) of the resulting linear dimension $(P+Q)$ is _________.
Arjun
asked
in
Probability and Statistics
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
probability-and-statistics
mode-and-standard-deviation
0
answers
0
votes
GATE2017 ME-2: 32
A gear train shown in the figure consists of gears $P, Q, R,$ and $S$. Gear $Q$ and gear $R$ are mounted on the same shaft. All the gears are mounted on parallel shafts and the number of teeth of $P, Q, R$ and $S$ are $24, 45, 30,$ and $80$, respectively. Gear $P$ is rotating at $400$ rpm. The speed (in rpm) of the gear $S$ is __________.
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
applied-mechanics-and-design
theory-of-machines
gears-and-gear-trains
0
answers
0
votes
GATE2017 ME-2: 31
The radius of gyration of a compound pendulum about the point of suspension is $100$ mm. The distance between the point of suspension and the centre of mass is $250$ mm. Considering the acceleration due to gravity as $9.81 m/s^{2}$, the natural frequency (in radian/s) of the compound pendulum is ________.
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set2
numerical-answers
applied-mechanics-and-design
machine-design
gyroscope
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