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Recent questions tagged gateme-2017-set1
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GATE Mechanical 2017 Set 1 | GA Question: 7
What is the sum of the missing digits in the subtraction problem below? $\begin{array}{llllll} {} &5 & \text{_} & \text{_} & \text{_} & \text{_} \\ – &4 & 8 & \text{_}& 8 & 9 \\ \hline & & 1 & 1 &1 &1 \end{array}$ $8$ $10$ $11$ Cannot be determined.
Arjun
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Analytical Aptitude
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
analytical-aptitude
logical-reasoning
0
answers
0
votes
GATE Mechanical 2017 Set 1 | GA Question: 6
"Here, throughout the early $1820$s, Stuart continued to fight is losing battle to allow his sepoys to wear their caste-marks and their own choice of facial hair on parade, being again reprimanded by the commander-in-chief. ... caste-marks. The commander-in-cheif was exempt from the Europeans prejudice that dictated how the sepoys were to dress.
Arjun
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Verbal Aptitude
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
verbal-ability
verbal-reasoning
passage-reading
0
answers
0
votes
GATE Mechanical 2017 Set 1 | GA Question: 5
$P$, $Q$ and $R$ talk about $S's$ car collection. $P$ states that $S$ has at least $3$ cars. $Q$ believes that $S$ has less than $3$ cars. $R$ indicates that to its knowledge, $S$ has at least one car. Only one of $P, Q$ and $R$ is right. The number of cars owned by $S$ is. $0$ $1$ $3$ Cannot be determined.
Arjun
asked
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Analytical Aptitude
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
analytical-aptitude
logical-reasoning
0
answers
0
votes
GATE Mechanical 2017 Set 1 | GA Question: 9
Two very famous sportsmen Mark and Steve happened to be brothers and played for country $K$. Mark teased James, an opponent from country $E$, "There is no way you are good enough to play for your country." James replied, ... than James. Steve was known to play better than Mark. James and Steve were good friends. James played better than steve.
Arjun
asked
in
Verbal Aptitude
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
verbal-ability
verbal-reasoning
passage-reading
0
answers
0
votes
GATE Mechanical 2017 Set 1 | GA Question: 8
Let $S_{1}$ be the plane figure consisting of the points $(x, y)$ given by the inequalities $\mid x - 1 \mid \leq 2$ and $ \mid y+2 \mid \leq 3$. Let $S_{2}$ be the plane figure given by the inequalities $x-y \geq -2, y \geq 1$, and $x \leq 3$. Let $S$ be the union of $S_{1}$ and $S_{2}$. The area of $S$ is. $26$ $28$ $32$ $34$
Arjun
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Quantitative Aptitude
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-ability
geometry
area
0
answers
0
votes
GATE Mechanical 2017 Set 1 | GA Question: 10
The growth of bacteria (lactobacillus) in milk leads to curd formation. A minimum bacterial population density of $0.8$ (in suitable units) is needed to form curd. In the graph below, the population density of lactobacillus in $1$ litre of milk is plotted ... the following options is correct? Only $i$. Only $ii$. Both $i$ and $ii$. Neither $i$ nor $ii$
Arjun
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Quantitative Aptitude
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-ability
data-interpretation
line-graph
0
answers
0
votes
GATE Mechanical 2017 Set 1 | GA Question: 4
In a company with $100$ employees, $45$ earn $Rs. 20,000$ per month, $25$ earn $Rs. 30000$, $20$ earn $Rs. 40000$, $8$ earn $Rs. 60000$, and $2$ earn $Rs. 150,000$. The median of the salaries is $Rs. 20,000$ $Rs. 30,000$ $Rs. 32,300$ $Rs. 40,000$
Arjun
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Quantitative Aptitude
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-ability
statistics
0
answers
0
votes
GATE Mechanical 2017 Set 1 | GA Question: 3
A right-angled cone (with base radius $5$ cm and height $12$ cm), as shown in the figure below, is rolled on the ground keeping the point $P$ fixed until the point $Q$ (at the base of the cone, as shown) touches the ground again. By what angle (in radians) about $P$ ... $\dfrac{5\pi}{12} \\$ $\dfrac{5\pi}{24} \\$ $\dfrac{24\pi}{5} \\$ $\dfrac{10\pi}{13}$
Arjun
asked
in
Quantitative Aptitude
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-ability
geometry
1
answer
0
votes
GATE Mechanical 2017 Set 1 | GA Question: 2
As the two speakers become increasingly agitated, the debate became _________. lukewarm poetic forgiving heated
Arjun
asked
in
Verbal Aptitude
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
verbal-ability
word-meaning
0
answers
0
votes
GATE Mechanical 2017 Set 1 | GA Question: 1
He was one of my best _______ and I felt his loss ________. friend, keenly friends, keen friend, keener friends, keenly
Arjun
asked
in
Verbal Aptitude
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
verbal-ability
english-grammar
0
answers
0
votes
GATE2017 ME-1: 55
Two cutting tools with tool life equations given below are being compared: Tool $1$: $VT^{0.1}=150$ Tool $2$: $VT^{0.3}=300$ where $V$ is cutting speed in m/minute and $T$ is tool life in minutes. The breakeven cutting speed beyond which Tool $2$ will have a higher tool life is ________ m/minute.
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
0
answers
0
votes
GATE2017 ME-1: 54
A sprue in a sand mould has a top diameter of $20 \: mm$ and height of $200$ mm. The velocity of the molten metal at the entry of the sprue is $0.5 \: m/s$. Assume acceleration due to gravity as $9.8 \: m/s^{2}$ and neglect all losses. If the mould is well ventilated, the velocity (upto $3$ decimal points accuracy) of the molten metal at the bottom of the sprue is _________ $m/s$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
casting-forming-and-joining-process
0
answers
0
votes
GATE2017 ME-1: 53
A block of length $200$ mm is machined by a slab milling cutter $34$ mm in diameter. The depth of cut and table feed are set at $2$ mm and $18$ mm/minute, respectively. Considering the approach and the over travel of the cutter to be same, the minimum estimated machining time per pass is ________ minutes.
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
0
answers
0
votes
GATE2017 ME-1: 52
Following data refers to the jobs $(P, Q, R, S)$ which have arrived at a machine for scheduling. The shortest possible average flow time is __________ days. $\begin{array}{|l|l|} \hline \text{Job} & \text{Processing Time (days)} \\ \hline P & 15 \\ \hline Q & 9 \\ \hline R & 22 \\ \hline S & 12 \\ \hline \end{array}$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
operations-research
0
answers
0
votes
GATE2017 ME-1: 51
Two models, $P$ and $Q$, of a product, earn profits of Rs.$100$ and Rs. $80$ per piece, respectively. Production times for $P$ and $Q$ are $5$ hours and $3$ hours, respectively, while the total production time available is $150$ hours. For a total batch size of $40$, to maximise profit, the number of units of $P$ to be produced is ________.
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
operations-research
0
answers
0
votes
GATE2017 ME-1: 50
Assume that the surface roughness profile is triangular as shown schematically in the figure. If the peak to valley height is $20 \mu m$, the central line average surface roughness $R_{a}$ (in $\mu m$) is $5$ $6.67$ $10$ $20$
Arjun
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in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
materials-manufacturing-and-industrial-engineering
0
answers
0
votes
GATE2017 ME-1: 49
Circular arc on a part profile is being machined on a vertical CNC milling machine. CNC part program using metric units with absolute dimensions is listed below: ... The coordinates of the centre of the circular arc are: $(30, 55)$ $(50, 55)$ $(50, 35)$ $(30, 35)$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
materials-manufacturing-and-industrial-engineering
computer-integrated-manufacturing
0
answers
0
votes
GATE2017 ME-1: 48
A $10$ mm deep cylindrical cup with diameter of $15$ mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto $2$ decimal points accuracy) of the blank is _________ mm.
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
vibrations
vibration-isolation
0
answers
0
votes
GATE2017 ME-1: 47
For an inline slider-crank mechanism, the lengths of the crank and connecting rod are $3$ m and $4$ m, respectively. At the instant when the connecting rod is perpendicular to the crank, if the velocity of the slider is $1$ m/s, the magnitude of angular velocity (upto $3$ decimal points accuracy) of the crank is ________ radian/s
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
machine-design
0
answers
0
votes
GATE2017 ME-1: 41
Two disks $A$ and $B$ with identical mass $(m)$ and radius $(R)$ are initially at rest. They roll down from the top of identical inclined planes without slipping. Disk $A$ has all of its mass concentrated at the rim, while Disk $B$ has its mass uniformly distributed. At the bottom of the ... centre of disk $B$ is $\sqrt{\dfrac{3}{4}} \\$ $\sqrt{\dfrac{3}{2}} \\$ $1 \\$ $\sqrt{2}$
Arjun
asked
in
Theory of Machines
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
theory-of-machines
applications
0
answers
0
votes
GATE2017 ME-1: 46
A thin uniform rigid bar of Length $L$ and mass $M$ is hinged at point $O$, located at a distance of $\dfrac{L}{3}$ from one of its ends. The bar is further supported using springs, each of stiffness $k$, located at the two ends. A particle of mass $m=\dfrac{M}{4}$ is fixed at ... $\sqrt{\dfrac{5k}{2M}} \\$ $\sqrt{\dfrac{3k}{2M}} \\$ $\sqrt{\dfrac{3k}{M}}$
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
GATE2017 ME-1: 45
In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at $100$ rpm. Let the number of teeth on the sun, planet and outer gears to be $50, 25$ and $100$, respectively. The ratio of magnitudes of angular velocity of the planet gear to the angular velocity of the carrier arm is ________.
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
theory-of-machines
gears-and-gear-trains
0
answers
0
votes
GATE2017 ME-1: 44
A horizontal bar, fixed at one end $(x=0)$, has a length of $1$ m, and cross-sectional area of $100 mm^{2}$. Its elastic modulus varies along its length as given by $E(x)=100 e^{-x}$ GPa, where $x$ is the length coordinate (in m) along the axis of the bar. An axial tensile load of $10$ kN is applied at the free end $(x=1)$. The axial displacement of the free end is _________ mm
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
elastic-constants
0
answers
0
votes
GATE2017 ME-1: 43
A machine element has an ultimate strength $(\sigma _{u})$ of $600 N/mm^{2}$, and endurance limit $(\sigma _{en})$ of $250 N/mm^{2}$. The fatigue curve for the element on a $\log-\log$ plot is shown below. If the element is to be designed for a finite life of $10000$ cycles, the maximum amplitude of a completely reversed operating stress is _________ $N/mm^{2}$.
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
0
answers
0
votes
GATE2017 ME-1: 42
A rectangular region in a solid is in a state of plane strain. The $(x, y)$ coordinates of the corners of the undeformed rectangle are given by $P(0, 0), Q(4, 0), R(4, 3), S(0, 3)$ ... . The deformed length of the elongated diagonal, up to three decimal places is _______ units.
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
0
answers
0
votes
GATE2017 ME-1: 40
A point mass of $100$ kg is dropped onto a massless elastic bar (cross-sectional area $= 100 mm^{2}$, length $= 1$ m, Young's modulus$=100$ GPa) from a height $H$ of $10$ mm as shown (Figure is not to scale). If $g= 10 m/s^{2}$, the maximum compression of the elastic bar is _______ mm
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
elastic-constants
0
answers
0
votes
GATE2017 ME-1: 39
An initially stress-free massless elastic beam of length $L$ and circular cross-section with diameter $d$ $(d << L)$ is held fixed between two walls as shown. The beam material has Young's modulus $E$ and coefficient of thermal expansion $a$. If the beam is slowly ... , the temperature rise required to cause the beam to buckle is proportional to $d$ $d^{2}$ $d^{3}$ $d^{4}$
Arjun
asked
in
Mechanics of Materials
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
GATE2017 ME-1: 38
Heat is generated uniformly in a long solid cylindrical rod (diameter$=10$ mm) at the rate of $4 \times 10^{7} W/m^{3}$. The thermal conductivity of the rod material is $25 W/m.K$. Under steady state conditions, the temperature difference between the centre and the surface of the rod is ______ $^{\circ} C$.
Arjun
asked
in
Heat Transfer
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
0
answers
0
votes
GATE2017 ME-1: 37
Two black surfaces, AB and BC, of lengths $5$ m and $6$ m, respectively, are oriented as shown. Both surfaces extend infinitely into the third dimension. Given that view factor $F_{12}=0.5, T_{1}=800 K, T_{2}=600 K, T_{\text{surrounding}}=300 K$ and Stefan- ... $2$ to the surrounding environment is _______ kW.
Arjun
asked
in
Heat Transfer
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
0
answers
0
votes
GATE2017 ME-1: 36
Air contains $79\%$ $N_{2}$ and $21\%$ $O_{2}$ on a molar basis. Methane $(CH_{4})$ is burned with $50\%$ excess air than required stoichiometrically. Assuming complete combustion of methane, the molar percentage of $N_{2}$ in the products is _______.
Arjun
asked
in
Applications
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
applications
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2017 ME-1: 35
Moist air is treated as an ideal gas mixture of water vapour and dry air (molecular weight of air$= 28.84$ and molecular weight of water $=18$). At a location, the total pressure is $100$ kPa, the temperature is $30^{\circ}$ C and the relative humidity is ... saturation pressure of water at $30^{\circ} C$ is $4246$ Pa, the mass of water vapour per kg of dry air is _________ grams.
Arjun
asked
in
Applications
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
fluid-mechanics-and-thermal-science
applications
vapour-and-gas-power-cycles
0
answers
0
votes
GATE2017 ME-1: 32
For a steady flow, the velocity field is $\vec{V}=(-x^{2}+3y)\hat{i}+(2xy)\hat{j}$. The magnitude of the acceleration of a particle at $(1, -1)$ is $2$ $1$ $2\sqrt{5}$ $0$
Arjun
asked
in
Fluid Mechanics
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
fluid-mechanics-and-thermal-science
fluid-mechanics
0
answers
0
votes
GATE2017 ME-1: 29
$P(0, 3), Q (0.5, 4)$ and $R(1, 5)$ are three points on the curve defined by $f(x)$. Numerical integration is carried out using both Trapezoidal rule and Simpson's rule within limits $x=0$ and $x=1$ for the curve. The difference between the two results will be $0$ $0.25$ $0.5$ $1$
Arjun
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in
Numerical Methods
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
0
answers
0
votes
GATE2017 ME-1: 28
A parametric curve defined by $x= \cos \left ( \dfrac{\Pi u}{2} \right ), y= \sin \left ( \dfrac{\Pi u}{2} \right )$ in the range $0 \leq u \leq 1$ is rotated about the $X$-axis by $360$ degrees. Area of the surface generated is $\dfrac{\Pi }{2} \\$ $\pi \\$ $2 \pi \\$ $4 \pi$
Arjun
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in
Calculus
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
calculus
area-under-curve
0
answers
0
votes
GATE2017 ME-1: 27
For the vector $\vec{V}=2yz\hat{i}+3xz \hat{j}+4xy \hat{k}$, the value of $\bigtriangledown$. $(\bigtriangledown \times \vec{V})$ is ________.
Arjun
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in
Calculus
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
calculus
vector-identities
0
answers
0
votes
GATE2017 ME-1: 26
Consider the matrix $P=\begin{bmatrix} \dfrac{1}{\sqrt{2}} & 0 &\dfrac{1}{\sqrt{2}} \\ 0 & 1 & 0\\ -\dfrac{1}{\sqrt{2}} &0 & \dfrac{1}{\sqrt{2}} \end{bmatrix}$ Which one of the following statements about $P$ is INCORRECT ? Determinant of P is equal to $1$. $P$ is orthogonal. Inverse of $P$ is equal to its transpose. All eigenvalues of $P$ are real numbers.
Arjun
asked
in
Linear Algebra
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
linear-algebra
matrices
eigen-values
0
answers
0
votes
GATE2017 ME-1: 34
The pressure ratio across a gas turbine (for air, specific heat at constant pressure, $c_{p}=1040 J/kg.K$ and ratio of specific heats, $\gamma=1.4$) is $10$. If the inlet temperature to the turbine is $1200$ K and the isentropic efficiency is $0.9$, the gas temperature at turbine exit is ________ $K$
Arjun
asked
in
Applications
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
fluid-mechanics-and-thermal-science
applications
turbomachinery
0
answers
0
votes
GATE2017 ME-1: 33
One kg of an ideal gas (gas constant, $R= 400 J/kg.K$; specific heat at constant volume, $c_{v}=1000 J/kg.K$) at $1$ bar, and $300$ K is contained in a sealed rigid cylinder. During an adiabatic process, $100$ kJ of work is done on the system by a stirrer. The increase in entropy of the system is _______ $J/K$.
Arjun
asked
in
Applications
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
numerical-answers
applications
fluid-mechanics-and-thermal-science
0
answers
0
votes
GATE2017 ME-1: 31
Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $d_{1}$ and $d_{2}$ arranged in series. Both pipes are of equal length and the flow is turbulent in both pipes. The friction factor for turbulent flow though pipes is of the form, $f=K(Re)^{-n}$, where ... $\left ( \dfrac{d_{2}}{d_{1}} \right )^{(5+n)}$
Arjun
asked
in
Fluid Mechanics
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
fluid-mechanics-and-thermal-science
fluid-mechanics
0
answers
0
votes
GATE2017 ME-1: 30
The velocity profile inside the boundary layer for flow over a flat plate is given as $\dfrac{u}{U_{\infty }}= \sin \left ( \dfrac{\Pi }{2}\dfrac{y}{\delta } \right )$, where $U_{\infty}$ is the free stream velocity and $\delta$ is the local boundary layer thickness. If $\delta^{*}$ is ... $\dfrac{2}{\Pi } \\$ $1-\dfrac{2}{\Pi } \\$ $1+\dfrac{2}{\Pi } \\$ $0$
Arjun
asked
in
Fluid Mechanics
Feb 27, 2017
by
Arjun
28.5k
points
gateme-2017-set1
boundary-layer
fluid-mechanics
fluid-mechanics-and-thermal-science
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