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Recent questions tagged gateme-2021-set2
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GATE Mechanical 2021 Set 2 | Question: 38
A spot welding operation performed on two pieces of steel yielded a nugget with a diameter of $\text{5 mm}$ and a thickness of $\text{1 mm}$. The welding time was $\text{0.1 s}$ ... $\text{kW} (\textit{round off to two decimal places}$).
A spot welding operation performed on two pieces of steel yielded a nugget with a diameter of $\text{5 mm}$ and a thickness of $\text{1 mm}$. The welding time was $\text{...
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GATE Mechanical 2021 Set 2 | Question: 39
A surface grinding operation has been performed on a Cast Iron plate having dimensions $\text{300 mm} (\textit{length}) \times \text{10 mm} (\textit{width})\times\text{50 mm}({height}$). The grinding was performed using an alumina wheel ... energy under the aforesaid grinding conditions is ______ $\text{J/mm}^{3} (\textit{round off to one decimal place}$).
A surface grinding operation has been performed on a Cast Iron plate having dimensions $\text{300 mm} (\textit{length}) \times \text{10 mm} (\textit{width})\times\text{50...
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GATE Mechanical 2021 Set 2 | Question: 40
In a pure orthogonal turning by a zero rake angle single point carbide cutting tool, the shear force has been computed to be $\text{400 N}$. The cutting velocity, $V_{c}=100$ $\text{m/min}$, depth of cut, $\text{t= 2.0 mm}$ ... , the shear strength, $\tau_{s}$, of the material will be ______ $\text{MPa} (\textit{round off to two decimal places}$).
In a pure orthogonal turning by a zero rake angle single point carbide cutting tool, the shear force has been computed to be $\text{400 N}$. The cutting velocity, $V_{c}=...
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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 ________ $\text{mm} \:(\textit{round off to one decimal place}$).
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 thick...
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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 ______ $\text{mm} (\textit{round off to two decimal places}$).
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 othe...
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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 ($\textit{round off to one decimal places}$).
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 $A_{o} = 1 \text{ cm}^2$, locat...
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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).
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...
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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/$\text{s}\: (\textit{round off to two decimal places}$).
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 ...
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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 ... $\% (\textit{round off to one decimal place}$).
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/...
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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 _______ $\text{kW/K}\:(\textit{round off to one decimal place}$).
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...
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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 _______ ($\textit{round off to two decimal places}$).
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...
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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 ______ $\text{m/s}^{2} (\textit{round off to one decimal place}$).
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 whe...
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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 ($\textit{round off to the nearest integer}$).
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 ...
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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 _______ $\text{kg.m}^{2} (\textit{round off to the nearest integer}$).
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. T...
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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 ($\textit{round off to the nearest integer}$).
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 $1...
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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: $2$ $3$ $4$ $5$
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 $\text{T}$...
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Quantitative Aptitude
gateme-2021-set2
numerical-ability
permutation-and-combination
seating-arrangements
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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 ... $\text{(i) and (iii)}$ $\text{(ii) and (iii)}$ $\text{(ii) and (iv)}$
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 fo...
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Mar 1, 2021
Verbal Aptitude
gateme-2021-set2
verbal-ability
english-grammar
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1
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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 ____ $\text{10.08 AM}$ $\text{10.42 AM}$ $\text{11.00 AM}$ $\text{10.00 PM}$
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 t...
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Mar 1, 2021
Quantitative Aptitude
gateme-2021-set2
numerical-ability
clock-time
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1
answers
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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 : $0$ $1$ $4$ $16$
If $\bigoplus \div \bigodot =2;\: \bigoplus \div\Delta =3;\:\bigodot +\Delta =5; \:\Delta \times \bigotimes =10$,Then, the value of $\left ( \bigotimes - \bigoplus \right...
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Mar 1, 2021
Analytical Aptitude
gateme-2021-set2
analytical-aptitude
logical-reasoning
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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 ... point $\text{Mr. X}$ is now located at with respect to the starting point is ____ South-East North-East West North-West
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...
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asked
Mar 1, 2021
Analytical Aptitude
gateme-2021-set2
analytical-aptitude
direction-sense
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1
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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
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 w...
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Mar 1, 2021
Analytical Aptitude
gateme-2021-set2
analytical-aptitude
logical-reasoning
statements-follow
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1
answers
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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 _____ $\frac{3}{16}$ $\frac{45}{236}$ $\frac{1}{4}$ $\frac{3}{4}$
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...
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points
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asked
Mar 1, 2021
Quantitative Aptitude
gateme-2021-set2
numerical-ability
probability
conditional-probability
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2
answers
1
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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 ___________ $\frac{1}{8}$ $\frac{1}{6}$ $\frac{1}{4}$ $\frac{1}{2}$
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}$$\fr...
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Quantitative Aptitude
gateme-2021-set2
numerical-ability
geometry
area
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2
answers
2
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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 _________ $\frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{16}$ $\frac{1}{32}$
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 s...
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Mar 1, 2021
Spatial Aptitude
gateme-2021-set2
spatial-aptitude
paper-folding
area
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1
answers
1
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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
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...
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points
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asked
Mar 1, 2021
Verbal Aptitude
gateme-2021-set2
verbal-ability
verbal-reasoning
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