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GATE Mechanical 2021 Set 2 | Question: 41
The thickness, width and length of a metal slab are $\text{50 mm}$, $\text{250 mm}$ and $\text{3600 mm}$, respectively. A rolling operation on this slab reduces the thickness by $10\%$ and increases the width by $3\%$. The length of the rolled slab is ________ $\text{mm} \:(\textit{round off to one decimal place}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 42
A $\text{76.2 mm}$ gauge block is used under one end of a $\text{254 mm}$ sine bar with roll diameter of $\text{25.4 mm}$. The height of gauge blocks required at the other end of the sine bar to measure an angle of $30^{\circ}$ is ______ $\text{mm} (\textit{round off to two decimal places}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 43
The demand and forecast of an item for five months are given in the table. ... Mean Absolute Percent Error $\text{(MAPE)}$ in the forecast is __________________ $\% (\textit{round off to two decimal places}$)
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 44
A shell and tube heat exchanger is used as a steam condenser. Coolant water enters the tube at $300 \text{ K}$ at a rate of $100 \text{ kg/s}$ ... temperature of the coolant water coming out of the condenser is __________________ $\text{K} (\textit{round off to the nearest integer}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 45
Ambient air flows over a heated slab having flat, top surface at $y = 0$. The local temperature (in Kelvin) profile within the thermal boundary layer is given by $\text{T(y)} = 300 + 200 \exp (-5y)$, where $\text{y}$ is the distance ... $y=0$ is ____________________ $\text{K/m} (\textit{round off to the nearest integer}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 46
Water flows out from a large tank of cross-sectional area $A_{t}=1 \text{ m}^{2}$ through a small rounded orifice of cross-sectional area $A_{o} = 1 \text{ cm}^2$, located at $y= 0$ ... in the tank to reach a level of $\text{y = H/4}$ is __________________ seconds ($\textit{round off to one decimal places}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 47
Consider the open feed water heater $\text{(FWH)}$ shown in the figure given below: Specific enthalpy of steam at location $2$ is $\text{2624 kJ/kg}$, specific enthalpy of water at location $5$ is $\text{226.7 kJ/kg}$ and specific enthalpy ... then the mass flow rate of steam at location $2$ will be ________ $\text{kg/s}$ (round off to one decimal place).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 48
A high velocity water jet of cross section area = $0.01 \text{ m}^{2}$ and velocity $\text{35 m/s}$ enters a pipe filled with stagnant water. The diameter of the pipe is $\text{0.32 m}$. This high velocity water jet entrains ... the figure. The flow rate of entrained water is _______________ liters/$\text{s}\: (\textit{round off to two decimal places}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 49
A vertical shaft Francis turbine rotates at $\text{300 rpm}$. The available head at the inlet to the turbine is $\text{200 m}$. The tip speed of the rotor is $\text{40 m/s}$. Water leaves the runner of the turbine without whirl. Velocity at ... $\% (\textit{round off to one decimal place}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 50
An adiabatic vortex tube, shown in the figure given below is supplied with $\text{5 kg/s}$ of air (inlet $1$) at $\text{500 kPa}$ and $\text{300 K}$. Two separate streams of air are leaving the device from outlets $2$ and $3$. ... the boundary of this device. The rate of entropy generation is _______ $\text{kW/K}\:(\textit{round off to one decimal place}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 51
A block of negligible mass rests on a surface that is inclined at $30^{\circ}$ to the horizontal plane as shown in the figure. When a vertical force of $\text{900 N}$ and a horizontal force of $\text{750 N}$ are applied, ... to slide. The coefficient of static friction between the block and surface is _______ ($\textit{round off to two decimal places}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 52
The wheels and axle system lying on a rough surface is shown in the figure. Each wheel has diameter $\text{0.8 m}$ and mass $\text{1 kg}$. Assume that the mass of the wheel is concentrated at rim and neglect the mass of the spokes. The ... of the wheel axle system in horizontal direction is ______ $\text{m/s}^{2} (\textit{round off to one decimal place}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 53
A cantilever beam with a uniform flexural rigidity ($\text{EI} = 200 \times 10^{6} \text{N.m}^{2}$ ) is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding to the full length of the ... magnitude of the slope of the beam at its free end is ______ micro radian ($\textit{round off to the nearest integer}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 54
The torque provided by an engine is given by $T(\theta) =12000+ 2500 \sin(2 \theta) \text{N.m}$, where $\theta$ is the angle turned by the crank from inner dead center. The mean speed of the engine is $\text{200 rpm}$ and it ... minimum mass moment of inertia of the flywheel should be _______ $\text{kg.m}^{2} (\textit{round off to the nearest integer}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
0
answers
0
votes
GATE Mechanical 2021 Set 2 | Question: 55
The figure shows the relationship between fatigue strength $\text{(S)}$ and fatigue life $\text{(N)}$ of a material. The fatigue strength of the material for a life of $1000$ cycles is $\text{450 MPa}$, while its fatigue strength for a ... to an alternating stress of $\text{200 MPa}$ will then be _______ cycles ($\textit{round off to the nearest integer}$).
asked
in
Others
Mar 1, 2021
gateme-2021-set2
numerical-answers
1
answer
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 1
Five persons $\text{P, Q, R, S}$ and $\text{T}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{T}$ ... at the second position from the left end of the row. The number of distinct seating arrangements possible is: $2$ $3$ $4$ $5$
asked
in
Quantitative Aptitude
Mar 1, 2021
gateme-2021-set2
numerical-ability
permutation-and-combination
seating-arrangements
1
answer
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 2
Consider the following sentences: The number of candidates who appear for the $\text{GATE}$ examination is staggering. A number of candidates from my class are appearing for the $\text{GATE}$ examination. The number of candidates who appear for the $\text{GATE}$ examination are ... $\text{(i) and (iii)}$ $\text{(ii) and (iii)}$ $\text{(ii) and (iv)}$
asked
in
Verbal Aptitude
Mar 1, 2021
gateme-2021-set2
verbal-ability
english-grammar
1
answer
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 3
A digital watch $\text{X}$ beeps every $30$ seconds while watch $\text{Y}$ beeps every $32$ seconds. They beeped together at $\text{10 AM}$. The immediate next time that they will beep together is ____ $\text{10.08 AM}$ $\text{10.42 AM}$ $\text{11.00 AM}$ $\text{10.00 PM}$
asked
in
Quantitative Aptitude
Mar 1, 2021
gateme-2021-set2
numerical-ability
clock-time
1
answer
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 4
If $\bigoplus \div \bigodot =2;\: \bigoplus \div\Delta =3;\:\bigodot +\Delta =5; \:\Delta \times \bigotimes =10$, Then, the value of $\left ( \bigotimes - \bigoplus \right )^{2}$, is : $0$ $1$ $4$ $16$
asked
in
Analytical Aptitude
Mar 1, 2021
gateme-2021-set2
analytical-aptitude
logical-reasoning
1
answer
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 5
The front door of $\text{Mr. X's}$ house faces East. $\text{Mr. X}$ leaves the house, walking $\text{50 m}$ straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for ... the point $\text{Mr. X}$ is now located at with respect to the starting point is ____ South-East North-East West North-West
asked
in
Analytical Aptitude
Mar 1, 2021
gateme-2021-set2
analytical-aptitude
direction-sense
1
answer
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 6
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$. $\text{Statement 1}:$ All entrepreneurs are wealthy. $\text{Statement 2}:$ All wealthy are risk seekers. $\text{Conclusion I}:$ All risk seekers ... Neither conclusion $\text{I}$ nor $\text{II}$ is correct Both conclusions $\text{I}$ and $\text{II}$ are correct
asked
in
Analytical Aptitude
Mar 1, 2021
gateme-2021-set2
analytical-aptitude
logical-reasoning
statements-follow
1
answer
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 7
A box contains $15$ blue balls and $45$ black balls. If $2$ balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is _____ $\frac{3}{16}$ $\frac{45}{236}$ $\frac{1}{4}$ $\frac{3}{4}$
asked
in
Quantitative Aptitude
Mar 1, 2021
gateme-2021-set2
numerical-ability
probability
conditional-probability
2
answers
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 8
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ___________ $\frac{1}{8}$ $\frac{1}{6}$ $\frac{1}{4}$ $\frac{1}{2}$
asked
in
Quantitative Aptitude
Mar 1, 2021
gateme-2021-set2
numerical-ability
geometry
area
1
answer
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 9
Consider a square sheet of side $1$ unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded along its line of symmetry. The area of each face of the final folded shape, ... units, equal to _________ $\frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{16}$ $\frac{1}{32}$
asked
in
Spatial Aptitude
Mar 1, 2021
gateme-2021-set2
spatial-aptitude
paper-folding
area
1
answer
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 10
The world is going through the worst pandemic in the past hundred years. The air travel industry is facing a crisis, as the resulting quarantine requirement for travelers led to weak demand. In relation to the first ... Second sentence entirely contradicts the first sentence The two statements are unrelated States an effect of the first sentence
asked
in
Verbal Aptitude
Mar 1, 2021
gateme-2021-set2
verbal-ability
verbal-reasoning
0
answers
0
votes
GATE2020-ME-2: 1
The sum of two normally distributed random variables $X$ and $Y$ is always normally distributed normally distributed, only if $X$ and $Y$ are independent normally distributed, only if $X$ and $Y$ have the same standard deviation normally distributed, only if $X$ and $Y$ have the same mean
asked
in
Probability and Statistics
Sep 18, 2020
gateme-2020-set2
probability-and-statistics
probability
normal-distribution
1
answer
0
votes
GATE2020-ME-2: 2
A matrix $P$ is decomposed into its symmetric part $S$ and skew symmetric part $V$ ... $\begin{pmatrix} -2 & 9/2 & -1 \\ -1 & 81/4 & 11 \\ -2 & 45/2 & 73/4 \end{pmatrix}$
asked
in
Linear Algebra
Sep 18, 2020
gateme-2020-set2
linear-algebra
matrices
0
answers
0
votes
GATE2020-ME-2: 3
Let $I=\displaystyle \int_{x=0}^1 \int_{y=0}^{x^2} xy^2 dy \: dx$. Then, $I$ may also be expressed as $\displaystyle \int_{y=0}^1 \int_{x=0}^{\sqrt{y}} xy^2 dx \: dy$ $\displaystyle \int_{y=0}^1 \int_{x=\sqrt{y}}^1 yx^2 dx \: dy$ $\displaystyle \int_{y=0}^1 \int_{x=\sqrt{y}}^1 xy^2 dx \: dy$ $\displaystyle \int_{y=0}^1 \int_{x=0}^{\sqrt{y}} yx^2 dx \: dy$
asked
in
Calculus
Sep 18, 2020
gateme-2020-set2
calculus
definite-integrals
double-interals
0
answers
0
votes
GATE2020-ME-2: 4
The solution of $\dfrac{d^2y}{dt^2}-y=1,$ which additionally satisfies $y \bigg \vert_{t=0} = \dfrac{dy}{dt} \bigg \vert_{t=0}=0$ in the Laplace $s$-domain is $\dfrac{1}{s(s+1)(s-1)} \\$ $\dfrac{1}{s(s+1)} \\$ $\dfrac{1}{s(s-1)} \\$ $\dfrac{1}{s-1} \\$
asked
in
Differential Equations
Sep 18, 2020
gateme-2020-set2
differential-equations
laplace-transforms
0
answers
0
votes
GATE2020-ME-2: 5
An attempt is made to pull a roller of weight $W$ over a curb (step) by applying a horizontal force $F$ as shown in the figure. The coefficient of static friction between the roller and the ground (including the edge of the step) is $\mu$ Identify the correct free body diagram (FBD) of the roller when the roller is just about to climb over the step.
asked
in
Engineering Mechanics
Sep 18, 2020
gateme-2020-set2
free-body-diagrams
engineering-mechanics
applied-mechanics-and-design
0
answers
0
votes
GATE2020-ME-2: 6
A circular disk of radius $r$ is confined to roll without slipping at $P$ and $Q$ as shown in the figure. If the plates have velocities as shown, the magnitude of angular velocity of the disk is $\dfrac{V}{r} \\$ $\dfrac{V}{2r} \\$ $\dfrac{2V}{3r} \\$ $\dfrac{3V}{2r} $
asked
in
Applications
Sep 18, 2020
gateme-2020-set2
velocity-diagrams
applications
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2020-ME-2: 7
The equation of motion of a spring-mass-damper system is given by $\dfrac{d^2x}{dt^2}+3 \dfrac{dx}{dt} +9x = 10 \sin(5t)$ The damping factor for the system is $0.25$ $0.5$ $2$ $3$
asked
in
Vibrations
Sep 18, 2020
gateme-2020-set2
effect-of-damping
vibrations
applied-mechanics-and-design
0
answers
0
votes
GATE2020-ME-2: 8
The number of qualitatively distinct kinematic inversions possible for a Grashof chain with four revolute pairs is $1$ $2$ $3$ $4$
asked
in
Engineering Mechanics
Sep 18, 2020
gateme-2020-set2
engineering-mechanics
applied-mechanics-and-design
0
answers
0
votes
GATE2020-ME-2: 9
The process, that uses a tapered horn to amplify and focus the mechanical energy for machining of glass, is electrochemical machining electrical discharge machining ultrasonic machining abrasive jet machining
asked
in
Mechanics of Materials
Sep 18, 2020
gateme-2020-set2
energy-methods
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
GATE2020-ME-2: 10
Two plates, each of $6$ mm thickness, are to be butt-welded. Consider the following processes and select the correct sequence in increasing order of size of the heat affected zone. Arc welding MIG welding Laser beam welding Submerged arc welding $1-4-2-3$ $3-4-2-1$ $4-3-2-1$ $3-2-4-1$
asked
in
Machine Design
Sep 18, 2020
gateme-2020-set2
machine-design
applied-mechanics-and-design
0
answers
0
votes
GATE2020-ME-2: 11
Which one of the following statements about a phase diagram is INCORRECT? It indicates the temperature at which different phases start to melt Relative amount of different phases can be found under given equillibrium conditions It gives information on transformation rates Solid solubility limits are depicted by it
asked
in
Others
Sep 18, 2020
gateme-2020-set2
0
answers
0
votes
GATE2020-ME-2: 12
The figure below shows a symbolic representation of the surface texture in a perpendicular lay orientation with indicative values (I through VI) marking the various specifications whose definitions are listed below. P: Maximum waviness Height (mm); Q: Maximum Roughness Height (mm); R: Minimum Roughness Height (mm) ... II-S, III-Q, IV-T, V-R, VI-P I-Q, II-U, III-R, IV-T, V-S, VI-P
asked
in
Others
Sep 18, 2020
gateme-2020-set2
0
answers
0
votes
GATE2020-ME-2: 13
In Materials Requirement Planning, if the inventory holding cost is very high and the set up cost is zero, which one of the following lot sizing approaches should be used? Economic Order Quantity Lot-for-Lot Base Stock Level Fixed Period Quantity, for $2$ periods
asked
in
Others
Sep 18, 2020
gateme-2020-set2
0
answers
0
votes
GATE2020-ME-2: 14
Which of the following conditions is used to determine the stable equilibrium of all partially submerged floating bodies? Centre of buoyancy must be above the centre of gravity Centre of buoyancy must be below the centre of gravity Metacentre must be at a higher level than the centre of gravity Metacentre must be at a lower level than the centre of gravity
asked
in
Fluid Mechanics
Sep 18, 2020
gateme-2020-set2
stability-of-floating-bodies
fluid-mechanics
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2020-ME-2: 15
In the space above the mercury column in a barometer tube, the gauge pressure of the vapour is positive, but more than one atmosphere negative zero positive, but less than one atmosphere
asked
in
Others
Sep 18, 2020
gateme-2020-set2
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