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GATE Mechanical 2016 Set 3 | GA Question: 7
Social science disciplines were in existence in an amorphous form until the colonial period when they were institutionalized. In varying degrees, they were intended to further the colonial interest. In the time of globalization and the economic rise of postcolonial countries ... (ii) only (i) and (iii) only (ii) and (iv) only (iii) and (iv) only

Social science disciplines were in existence in an amorphous form until the colonial period when they were institutionalized. In varying degrees, they were intended to fu...

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2016 Set 2 | GA Question: 6
Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluated out of $200$ marks. It was observed that the mean of group P ... group Q scored marks in a narrower range than students in group P. The median of the marks of group P is $100$.

Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was e...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-3-38
Steam enters a turbine at $30$ bar, $300^\circ C \: (u = 2750 \: kJ/kg$, $h = 2993 \: kJ/kg)$ and exits the turbine as saturated liquid at $15 \: kPa \: (u = 225 \: kJ/kg$, $h = 226 \: kJ/kg)$. Heat loss to the ... $kJ/kg$ of steam) is ________

Steam enters a turbine at $30$ bar, $300^\circ C \: (u = 2750 \: kJ/kg$, $h = 2993 \: kJ/kg)$ and exits the turbine as saturated liquid at $15 \: kPa \: (u = 225 \: kJ/kg...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-3-29
The number of degrees of freedom of the linkage shown in the figure is -$3$ $0$ $1$ $2$

The number of degrees of freedom of the linkage shown in the figure is-$3$$0$$1$$2$

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-2-53
A resistance-capacitance relaxation circuit is used in an electrical discharge machining process. The discharge voltage is $100$ $V$. At a spark cycle time of $25$ $μs$, the average power input required is $1$ $kW$. The capacitance (in $μF$) in the circuit is $2.5$ $5.0$ $7.5$ $10.0$

A resistance-capacitance relaxation circuit is used in an electrical discharge machining process. The discharge voltage is $100$ $V$. At a spark cycle time of $25$ $μs$,...

Arjun

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GATE2015-1-34
For a canteen, the actual demand for disposable cups was $500$ units in January and $600$ units in February. The forecast for the month of January was $400$ units. The forecast for the month of March considering smoothing coefficient as $0.75$ is ________

For a canteen, the actual demand for disposable cups was $500$ units in January and $600$ units in February. The forecast for the month of January was $400$ units. The fo...

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 2 | Question: 8
A $4$-bar mechanism with all revolute pairs has link lengths $l_f$ = $20$ $mm$, $l_{\text{in}} = 40$ $mm$, $l_{\text{co}} =50$ $mm$ and $l_{\text{out}} =60$ $mm$ ... motion Both links cannot execute full circular motion Only the output link cannot execute full circular motion Only the input link cannot execute full circular motion

A $4$-bar mechanism with all revolute pairs has link lengths $l_f$ = $20$ $mm$, $l_{\text{in}} = 40$ $mm$, $l_{\text{co}} =50$ $mm$ and $l_{\text{out}} =60$ $mm$. The suf...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 2 | Question: 1
One of the eigen vectors of the matrix $\begin{bmatrix} -5 & 2\\ -9 & 6 \end{bmatrix}$ is $\begin{Bmatrix} -1\\ 1 \end{Bmatrix} \\$ $\begin{Bmatrix} -2\\ 9 \end{Bmatrix} \\$ $\begin{Bmatrix} 2\\ -1 \end{Bmatrix} \\$ $\begin{Bmatrix} 1\\ 1 \end{Bmatrix} \\$

One of the eigen vectors of the matrix $\begin{bmatrix} -5 & 2\\ -9 & 6 \end{bmatrix}$ is$\begin{Bmatrix} -1\\ 1 \end{Bmatrix} \\$$\begin{Bmatrix} -2\\ 9 \end{Bmatrix} \\...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 1
Given that the determinant of the matrix $\begin{bmatrix} 1 & 3 & 0\\ 2 & 6 & 4\\ -1 & 0 & 2 \end{bmatrix}$ is $-12$, the determinant of the matrix $\begin{bmatrix} 2 & 6 & 0\\ 4 & 12 & 18\\ -2 & 0 & 4 \end{bmatrix}$ is $-96$ $-24$ $24$ $96$

Given that the determinant of the matrix $\begin{bmatrix} 1 & 3 & 0\\ 2 & 6 & 4\\ -1 & 0 & 2 \end{bmatrix}$ is $-12$, the determinant of the matrix $\begin{bmatrix} 2 & 6...

Arjun

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Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 25
Choose the CORRECT set of functions, which are linearly dependent. $\sin x , \sin^2 x$ and $\cos^2 x$ $\cos x , \sin x$ and $\tan x$ $\cos 2x, \sin^2 x$ and $\cos^2 x$ $\cos 2x , \sin x$ and $cos x$

Choose the CORRECT set of functions, which are linearly dependent.$\sin x , \sin^2 x$ and $\cos^2 x$$\cos x , \sin x$ and $\tan x$$\cos 2x, \sin^2 x$ and $\cos^2 x$$\cos ...

piyag476

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piyag476 asked Feb 19, 2017

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GATE ME 2012 | Question: 10
A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by $1 \%$ and the thickness is reduced by $1 \%$ with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is $0$ $1$ $1.08$ $2.02$

A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by $1 \%$ and the thickness is reduced by $1 \%$ with the inte...

Andrijana3306

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Andrijana3306 asked Mar 19, 2018

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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 _________.

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 chan...

Arjun

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Arjun asked Feb 26, 2017

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GATE2017 ME-2: 8
For a loaded cantilever beam of uniform cross-section, the bending moment (in N.mm) along the length is $M(x)=5x^{2}+10x$, where $x$ is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at $x=10$ mm is __________.

For a loaded cantilever beam of uniform cross-section, the bending moment (in N.mm) along the length is $M(x)=5x^{2}+10x$, where $x$ is the distance (in mm) measured from...

Arjun

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Arjun asked Feb 26, 2017

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GATE Mechanical 2016 Set 3 | GA Question: 2
The students ___________ the teacher on teachers’ day for twenty years of dedicated teaching. facilitated felicitated fantasized facillitated

The students ___________ the teacher on teachers’ day for twenty years of dedicated teaching.facilitatedfelicitatedfantasizedfacillitated

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2016 Set 2 | GA Question: 5
A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is $6$ $m$, the area of the window in $m^2$ is ___________. $1.43$ $2.06$ $2.68$ $2.88$

A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If t...

Arjun

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Arjun asked Feb 24, 2017

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GATE2016-1-50
The tool life equation for HSS tool is $VT^{0.14}f^{0.7}d^{0.4}$ = constant. The tool life $(T)$ of $30 \: min$ is obtained using the following cutting conditions: $V=45\:m/min$, $f=0.35 \: mm$, $d=2.0 \: mm$ If speed $(V)$, feed $(f)$ and depth of cut $(d)$ are increased individually by $25\%$, the tool life (in $min$) is $0.15$ $1.06$ $22.50$ $30.0$

The tool life equation for HSS tool is $VT^{0.14}f^{0.7}d^{0.4}$ = constant. The tool life $(T)$ of $30 \: min$ is obtained using the following cutting conditions:$V=45\:...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-3-20
A drill is positioned at point P and it has to proceed to point Q. The coordinates of point Q in the incremental system of defining position of a point in CNC part program will be $(3, 12)$ $(5, 7)$ $(7, 12)$ $(4, 7)$

A drill is positioned at point P and it has to proceed to point Q. The coordinates of point Q in the incremental system of defining position of a point in CNC part progra...

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2015 Set 2 | GA Question: 4
Find the missing sequence in letter series below: A, CD, DHI, ?, UVWXY LMN MNO MNOP NOPQ

Find the missing sequence in letter series below:A, CD, DHI, ?, UVWXYLMNMNOMNOPNOPQ

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 4 | GA Question: 10
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers? $6666660$ $6666600$ $6666666$ $6666606$

A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers?$6666660$$6666600$...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 3 | GA Question: 6
Find the next term in the sequence: $7G, 11K, 13M$,____ $15Q$ $17Q$ $15P$ $17P$

Find the next term in the sequence:$7G, 11K, 13M$,____$15Q$$17Q$$15P$$17P$

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 55
An aluminium alloy (density $2600$ $kg$/$m^3$) casting is to be produced. A cylindrical hole of $100$ $mm$ diameter and $100$ $mm$ length is made in the casting using sand core (density $1600$ $kg$/$m^3$). The net buoyancy force (in newton) acting on the core is _______

An aluminium alloy (density $2600$ $kg$/$m^3$) casting is to be produced. A cylindrical hole of $100$ $mm$ diameter and $100$ $mm$ length is made in the casting using san...

Arjun

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Arjun asked Feb 19, 2017

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GATE Mechanical 2014 Set 1 | Question: 5
Which one of the following describes the relationship among the three vectors, $\hat{i}+\hat{j}+\hat{k}$ , $2\hat{i}+3\hat{j}+\hat{k}$ and $5\hat{i}+6\hat{j}+4\hat{k}$ ? The vectors are mutually perpendicular The vectors are linearly dependent The vectors are linearly independent The vectors are unit vectors

Which one of the following describes the relationship among the three vectors, $\hat{i}+\hat{j}+\hat{k}$ , $2\hat{i}+3\hat{j}+\hat{k}$ and $5\hat{i}+6\hat{j}+4\hat{k}$ ?T...

Arjun

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Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 46
The solution to the differential equation $\dfrac{d^2u}{dx^2}-k\dfrac{du}{dx}=0$ where $k$ is a constant, subjected to the boundary conditions $u(0)$ = $0$ and $u(L)$ = $U$, is $u=U\dfrac{x}{L} $ $u=U\left(\dfrac{1-e^{kx}}{1-e^{kL}}\right) $ $u=U\left(\dfrac{1-e^{-kx}}{1-e^{-kL}}\right)$ $u=U\left(\dfrac{1+e^{kx}}{1+e^{kL}}\right)$

The solution to the differential equation $\dfrac{d^2u}{dx^2}-k\dfrac{du}{dx}=0$ where $k$ is a constant, subjected to theboundary conditions $u(0)$ = $0$ and $u(L)$ = $...

piyag476

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piyag476 asked Feb 19, 2017

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GATE ME 2013 | Question: 15
A steel bar $200$ $mm$ in diameter is turned at a feed of $0.25$ $mm$/$rev$ with a depth of cut of $4$ $mm$. The rotational speed of the workpiece is $160$ $rpm$. The material removal rate in $mm^3$/$s$ is $160$ $167.6$ $1600$ $1675.5$

A steel bar $200$ $mm$ in diameter is turned at a feed of $0.25$ $mm$/$rev$ with a depth of cut of $4$ $mm$. The rotational speed of the workpiece is $160$ $rpm$. The mat...

piyag476

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piyag476 asked Feb 19, 2017

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GATE Mechanical 2024 | Question: 7
A plane, solid slab of thickness $L$, shown in the figure, has thermal conductivity $k$ that varies with the spatial coordinate $x$ as $k=A+B x$, where $A$ and $B$ ... . Considering one-dimensional heat transfer, which one of the following plots qualitatively depicts the steady-state temperature distribution within the slab?

A plane, solid slab of thickness $L$, shown in the figure, has thermal conductivity $k$ that varies with the spatial coordinate $x$ as $k=A+B x$, where $A$ an...

admin

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admin asked Feb 16

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GATE Mechanical 2022 Set 2 | Question: 47
In a direct current arc welding process, the power source has an open circuit voltage of $100\: V$ and short circuit current of $1000 \:A$. Assume a linear relationship between voltage and current. The arc voltage $(V)$ varies with the ... is in $\text{mm}$. The maximum available arc power during the process is ________________ $\text{kVA}$ (in integer).

In a direct current arc welding process, the power source has an open circuit voltage of $100\: V$ and short circuit current of $1000 \:A$. Assume a linear relationship b...

Arjun

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Arjun asked Feb 15, 2022

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GATE Mechanical 2022 Set 1 | Question: 32
Activities $A$ to $K$ are required to complete a project. The time estimates and the immediate predecessors of these activities are given in the table. If the project is to be completed in the minimum possible time, the latest finish time for the activity $G$ is _______________ ... $5$ $10$ $8$ $9$

Activities $A$ to $K$ are required to complete a project. The time estimates and the immediate predecessors of these activities are given in the table. If the project is ...

Arjun

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Arjun asked Feb 15, 2022

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GATE Mechanical 2021 Set 2 | Question: 30
Ambient pressure, temperature, and relative humidity at a location are $\text{101 kPa}$, $\text{300 K}$, and $60\%$, respectively. The saturation pressure of the water at $\text{300 K}$ is $\text{3.6 kPa}$. The specific humidity of ambient air is ____________________ $\text{g/kg}$ of dry air. $21.4$ $35.1$ $21.9$ $13.6$

Ambient pressure, temperature, and relative humidity at a location are $\text{101 kPa}$, $\text{300 K}$, and $60\%$, respectively. The saturation pressure of the water at...

go_editor

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go_editor asked Mar 1, 2021

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GATE Mechanical 2021 Set 1 | Question: 35
Activities $\text{A, B, C}$ and $\text{D}$ form the critical path for a project with a $\text{PERT}$ network. The means and variances of the activity duration for each activity are given below. All activity durations follow the Gaussian (normal) ... $\text{Note}$: Probability is a number between $0$ and $1$).

Activities $\text{A, B, C}$ and $\text{D}$ form the critical path for a project with a $\text{PERT}$ network. The means and variances of the activity duration for each ac...

gatecse

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gatecse asked Feb 22, 2021

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GATE2020-ME-2: 45
Bars of $250$ mm length and $25$ mm diameter are to be turned on a lathe with a feed of $0.2$ mm/rev. Each regrinding of the tool costs Rs. $20$. The time required for each tool change is $1$ ... tool life $T$ is in min). The optimum tool cost per piece for maximum production rate is Rs. _______ (round off to $2$ decimal places).

Bars of $250$ mm length and $25$ mm diameter are to be turned on a lathe with a feed of $0.2$ mm/rev. Each regrinding of the tool costs Rs. $20$. The time required for ea...

go_editor

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go_editor asked Sep 18, 2020

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GATE2020-ME-2: 51
Water flows through a tube of $3$ cm internal diameter and length $20$ m. The outside surface of the tube is heated electrically so that it is subjected to uniform heat flux circumferentially and axially. The mean inlet and exit temperatures of the water are ... The inner surface temperature at the exit section of the tube is ___________ $^\circ C$ (round off to one decimal place

Water flows through a tube of $3$ cm internal diameter and length $20$ m. The outside surface of the tube is heated electrically so that it is subjected to uniform heat f...

go_editor

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go_editor asked Sep 18, 2020

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GATE2020-ME-1: 13
In the Critical Path Method $(CPM)$, the cost-time slope of an activity is given by $\dfrac{\text{Crash Cost – Normal Cost}}{\text{Crash Time}} \\$ $\dfrac{\text{Normal Cost}}{\text{Crash Time – Normal Time}} \\$ $\dfrac{\text{Crash Cost}}{\text{Crash Time – Normal Time}} \\ $ $\dfrac{\text{Crash Cost – Normal Cost}}{\text{Normal Time – Crash Time}}$

In the Critical Path Method $(CPM)$, the cost-time slope of an activity is given by$\dfrac{\text{Crash Cost – Normal Cost}}{\text{Crash Time}} \\$$\dfrac{\text{Normal C...

go_editor

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go_editor asked Feb 19, 2020

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GATE ME 2012 | Question: 8
The following are the data for the two crossed helical gears used for speed reduction: Gear I: Pitch circle diameter in the plane of rotation $80$ mm and helix angle $30^{\circ}$ Gear II: Pitch circle diameter in the plane of rotation $120$ mm and helix angle $22.5^{\circ}$ If the input speed is $1440$ rpm, the output speed in rpm is $1200$ $900$ $875$ $720$

The following are the data for the two crossed helical gears used for speed reduction:Gear I: Pitch circle diameter in the plane of rotation $80$ mm and helix angle $30^{...

Andrijana3306

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Andrijana3306 asked Mar 19, 2018

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GATE2018-2-22
The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. The boundary layer thickness at the end of the plate of length $L$ is $\delta_L$. When the plate length is increased to twice its original length, the ... laminar boundary layer thickness at the end of the plate (with respect to $\delta_L$ is _______ (correct to two decimal palces).

The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. The boundary layer thickness at the end of the plate of length $L$ is $\de...

Arjun

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Arjun asked Feb 17, 2018

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GATE2016-3-15
Steady one-dimensional heat conduction takes place across the faces $1$ and $3$ of a composite slab consisting of slabs $A$ and $B$ in perfect contact as shown in the figure, where $k_A$ , $k_B$ denote the respective thermal conductivities. Using the data as given in the figure, the interface temperature $T_2$ (in $^\circ C$) is __________

Steady one-dimensional heat conduction takes place across the faces $1$ and $3$ of a composite slab consisting of slabs $A$ and $B$ in perfect contact as shown in the fig...

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 2 | Question: 19
A component can be produced by any of the four processes $I$, $II$, $III$ and $IV$. The fixed cost and the variable cost for each of the processes are listed below. The most economical process for producing a batch of $100$ ... $I$ $II$ $III$ $IV$

A component can be produced by any of the four processes $I$, $II$, $III$ and $IV$. The fixed cost and the variable cost for each of the processes are listed below. The m...

Arjun

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Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 47
The value of the definite integral $\int_{1}^{e}\sqrt{x}\ln(x)dx$ is $\dfrac{4}{9}\sqrt{e^3}+\dfrac{2}{9} \\$ $\dfrac{2}{9}\sqrt{e^3}-\dfrac{4}{9} \\$ $\dfrac{2}{9}\sqrt{e^3}+\dfrac{4}{9}\\$ $\dfrac{4}{9}\sqrt{e^3}-\dfrac{2}{9}$

The value of the definite integral $\int_{1}^{e}\sqrt{x}\ln(x)dx$ is$\dfrac{4}{9}\sqrt{e^3}+\dfrac{2}{9} \\$$\dfrac{2}{9}\sqrt{e^3}-\dfrac{4}{9} \\$$\dfrac{2}{9}\sqrt{e^3...

piyag476

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piyag476 asked Feb 19, 2017

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GATE ME 2013 | Question: 35
In a $CAD$ package, mirror image of a $2D$ point $P(5,10)$ is to be obtained about a line which passes through the origin and makes an angle of $45^{\circ}$ counterclockwise with the $X$-axis. The coordinates of the transformed point will be $(7.5, 5)$ $(10, 5)$ $(7.5, -5)$ $(10, -5)$

In a $CAD$ package, mirror image of a $2D$ point $P(5,10)$ is to be obtained about a line which passes through the origin and makes an angle of $45^{\circ}$ counterclockw...

piyag476

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piyag476 asked Feb 19, 2017

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GATE ME 2013 | Question: 20
A cylinder contains $5$ $m^3$ of an ideal gas at a pressure of $1$ $bar$. This gas is compressed in a reversible isothermal process till its pressure increases to $5$ $bar$. The work in $kJ$ required for this process is $804.7$ $953.2$ $981.7$ $1012.2$

A cylinder contains $5$ $m^3$ of an ideal gas at a pressure of $1$ $bar$. This gas is compressed in a reversible isothermal process till its pressure increases to $5$ $ba...

piyag476

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piyag476 asked Feb 19, 2017

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GATE Mechanical 2024 | Question: 24
A set of jobs $\text{U, V, W, X, Y, Z}$ arrive at time $t=0$ to a production line consisting of two workstations in series. Each job must be processed by both workstations in sequence (i.e., the first followed by the second). The process times (in minutes) for each job on each ... $\text{W-X-V-Z-Y-U}$ $\text{W-U-Z-V-Y-X}$ $\text{U-Y-V-Z-X-W}$

A set of jobs $\text{U, V, W, X, Y, Z}$ arrive at time $t=0$ to a production line consisting of two workstations in series. Each job must be processed by b...

admin

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admin asked Feb 16