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Recent questions tagged gate2015me3
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GATE20153GA8
In the given figure $Q$ is a right triangle, $PS:QS = 3:1$ $RT:QT = 5:2$ $PU:UR = 1:1$ If area of triangle $QTS$ is $20$ $cm^2$, then the area of triangle $PQR$ in $cm^2$ is_____
asked
Feb 24, 2017
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by
Arjun
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21.2k
points)
gate2015me3
numericalanswers
0
votes
0
answers
GATE20153GA10
A coin is tossed thrice. Let C be the event that head occurs in each of first two tosses. Let Y be the event that tails occurs in third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statement is TRUE? X and Y are not independent Y and Z are dependent Y and Z are independent X and Z are independent
asked
Feb 24, 2017
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Arjun
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21.2k
points)
gate2015me3
0
votes
0
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GATE20153GA9
Right triangle $PQR$ is to be constructed in $xy$plane so that the right angle is at $P$ and line $PR$ is parallel to $x$axis.The $x$ and $y$ coordinates of $P$, $Q$ and $R$ are to be integers that satisfies the inequalities: $4\leq x\leq 5$ and $6\leq y\leq 16$. How many different triangles could be constructed with these properties? $110$ $1100$ $9900$ $10000$
asked
Feb 24, 2017
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Arjun
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21.2k
points)
gate2015me3
0
votes
0
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GATE20153GA7
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows: Statements: No manager is a leader. All leaders are executives. Conclusions: No manager is an executive. No executive ... . Only conclusion I follows Only conclusion II follows Neither conclusion I nor II follows Both conclusion I and II follows
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Feb 24, 2017
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Arjun
(
21.2k
points)
gate2015me3
0
votes
1
answer
GATE20153GA6
Select the option in place of underlined parts of sentence. Increased productivity necessary reflects greater efforts made by the employees. Increase in productivity necessary Increase productivity is necessary Increase in productivity necessarily No improvement required
asked
Feb 24, 2017
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Arjun
(
21.2k
points)
gate2015me3
0
votes
0
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GATE20153GA5
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to held to complete the league round of matches? $20$ $10$ $8$ $5$
asked
Feb 24, 2017
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by
Arjun
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21.2k
points)
gate2015me3
0
votes
0
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GATE20153GA3
Choose the statement where underlined word is used correctly When the teacher eludes to different authors, he is being elusive. When the thief keeps eluding the police, he is being elusive. Matters that are difficult to understand, identify or remember are allusive. Mirages can be allusive, but a better way to express them is illusory.
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Feb 24, 2017
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Arjun
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21.2k
points)
gate2015me3
0
votes
1
answer
GATE20153GA2
Fill the blank with the correct idiom/phrase. That boy from the town was ______________________ in the sleepy village. dog out of heard sheep from the heap fish out of water bird from the flock
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Feb 24, 2017
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Arjun
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21.2k
points)
gate2015me3
0
votes
0
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GATE20153GA1
Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence: Apparent lifelessness _________ dormant life. harbours leads to supports affects
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Feb 24, 2017
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Arjun
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21.2k
points)
gate2015me3
0
votes
0
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GATE20153GA4
Tanya is older than Eric. Cliff is older than Tanya. Eric is older than Cliff. If the first two statements are true ,then the third statement is : True False Uncertain Data insufficient
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Feb 24, 2017
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Arjun
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21.2k
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gate2015me3
0
votes
0
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GATE2015354
A brick wall $\left(k=0.9\displaystyle{\frac{W}{m.k}}\right)$ of thickness $0.18$ $m$ separates the warm air in a room from the cold ambient air. On a particular winter day, the outside air temperature is $−5^oC$ and the room needs to be maintained at $27^oC$ ... resistance of the air inside the room, the heat loss, in $\displaystyle{\frac{W}{m^2}}$, is $88$ $110$ $128$ $160$
asked
Feb 24, 2017
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by
Arjun
(
21.2k
points)
gate2015me3
fluidmechanicsandthermalscience
heattransfer
0
votes
0
answers
GATE2015355
A mixture of ideal gases has the following composition by mass: $N_2$ $O_2$ $CO_2$ $60%$ $30%$ $10%$ If the universal gas constant is $8314$ $J/kmol$$K$, the characteristic gas constant of the mixture (in $J/kg$$K$) is ________
asked
Feb 24, 2017
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Arjun
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21.2k
points)
gate2015me3
numericalanswers
0
votes
0
answers
GATE2015350
The dimensions of a cylindrical side riser (height = diameter) for a $25$ $cm$ × $15$ $cm$ × $5$ $cm$ steel casting are to be determined. For the tabulated shape factor values given below, the diameter of the riser (in $cm$) is ________ Shape factor 2 4 6 8 10 12 Riser volume/Casting volume 1.0 0.70 0.55 0.50 0.40 0.35
asked
Feb 24, 2017
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by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
0
votes
0
answers
GATE2015342
For a given matrix $P=\begin{bmatrix} 4+3i & i\\ i & 43i \end{bmatrix}$, where $i=\sqrt{1}$, the inverse of matrix $P$ is $P=\displaystyle{\frac{1}{24}}\begin{bmatrix} 43i & i\\ i & 4+3i \end{bmatrix}$ ... $P=\displaystyle{\frac{1}{25}}\begin{bmatrix} 4+3i & i\\ i & 43i \end{bmatrix}$
asked
Feb 24, 2017
in
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by
Arjun
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21.2k
points)
gate2015me3
engineeringmathematics
linearalgebra
matrixalgebra
0
votes
0
answers
GATE2015346
For the overhanging beam shown in figure, the magnitude of maximum bending moment (in $kN$$m$) is ________
asked
Feb 24, 2017
in
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by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
appliedmechanicsanddesign
mechanicsofmaterials
deflectionofbeams
0
votes
0
answers
GATE2015345
A bullet spins as the shot is fired from a gun. For this purpose, two helical slots as shown in the figure are cut in the barrel. Projections A and B on the bullet engage in each of the slots. Helical slots are such that one turn of helix is completed over a distance of $0.5$ $m$. If velocity of bullet when it exits the barrel is $20$ $m/s$, its spinning speed in $rad/s$ is ________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
0
votes
0
answers
GATE2015344
Laplace transform of the function $f(t)$ is given by $F(s)=L\begin{bmatrix} f(t) \end{bmatrix}=\int_{0}^{\infty }f(t)e^{st}dt$ . Laplace transform of the function shown below is given by $\displaystyle{\frac{1e^{2s}}{s}}$ $\displaystyle{\frac{1e^{s}}{2s}}$ $\displaystyle{\frac{22e^{s}}{s}}$ $\displaystyle{\frac{12e^{s}}{s}}$
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
0
votes
0
answers
GATE2015352
Which of the following statements are TRUE, when the cavitation parameter $\sigma =0$? the local pressure is reduced to vapor pressure cavitation starts boiling of liquid starts cavitation stops (i), (ii) and (iv) only (ii) and (iii) only (i) and (iii) (i), (ii) and (iii)
asked
Feb 24, 2017
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Others
by
Arjun
(
21.2k
points)
gate2015me3
fluidmechanicsandthermalscience
applications
vapourandgaspowercycles
0
votes
0
answers
GATE2015348
A cantilever bracket is bolted to a column using three M$12×1.75$ bolts P, Q and R. The value of maximum shear stress developed in the bolt P (in $MPa$) is ________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
appliedmechanicsanddesign
mechanicsofmaterials
deflectionofbeams
0
votes
0
answers
GATE2015343
NewtonRaphson method is used to find the roots of the equation, $x^3+3x^2+3x1=0$. If the initial guess is $x_0=1$, then the value of $x$ after $2^{nd}$ iteration is ________
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Feb 24, 2017
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Arjun
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21.2k
points)
gate2015me3
numericalanswers
engineeringmathematics
0
votes
0
answers
GATE2015351
For the linear programming problem: Maximize $Z = 3X_1 + 2X_2$ Subject to $−2X_1 + 3X_2 ≤ 9$ $X_1 − 5 X_2 ≥ −20$ $X_1, X_2 ≥ 0$ The above problem has unbounded solution infeasible solution alternative optimum solution degenerate solution
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
engineeringmathematics
0
votes
0
answers
GATE2015353
One side of a wall is maintained at $400$ $K$ and the other at $300$ $K$. The rate of heat transfer through the wall is $1000$ $W$ and the surrounding temperature is $25^oC$. Assuming no generation of heat within the wall, the irreversibility (in $W$) due to heat transfer through the wall is ________
asked
Feb 24, 2017
in
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by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
fluidmechanicsandthermalscience
heattransfer
0
votes
0
answers
GATE2015347
The torque (in $N$$m$) exerted on the crank shaft of a two stroke engine can be described as $T = 10000 + 1000 \sin(2θ) − 1200 \cos(2θ)$, where $θ$ is the crank angle as measured from inner dead center position. Assuming the resisting torque to be constant, the power (in $kW$) developed by the engine at $100$ $rpm$ is ________
asked
Feb 24, 2017
in
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by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
fluidmechanicsandthermalscience
applications
i.cengines
0
votes
0
answers
GATE2015349
A shaft of length $90$ $mm$ has a tapered portion of length $55$ $mm$. The diameter of the taper is $80$ $mm$ at one end and $65$ $mm$ at the other. If the taper is made by tailstock set over method, the taper angle and the set over respectively are $15^o32′$ and $12.16$ $mm$ $18^o32′$ and $15.66$ $mm$ $11^o22′$ and $10.26$ $mm$ $10^o32′$ and $14.46$ $mm$
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
appliedmechanicsanddesign
mechanicsofmaterials
torsionofcircularshafts
0
votes
0
answers
GATE2015330
For ball bearings, the fatigue life $L$ measured in number of revolutions and the radial load $F$ are related by $FL^{1/3} = K$, where $K$ is a constant. It withstands a radial load of $2$ $kN$ for a life of $540$ million revolutions. The load (in $kN$) for a life of one million revolutions is ________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
appliedmechanicsanddesign
machinedesign
0
votes
0
answers
GATE2015331
In a rolling operation using rolls of diameter $500$ $mm$, if a $25$ $mm$ thick plate cannot be reduced to less than $20$ $mm$ in one pass, the coefficient of friction between the roll and the plate is ________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
materialsmanufacturingandindustrialengineering
castingformingandjoiningprocess
0
votes
0
answers
GATE2015332
Ratio of solidification time of a cylindrical casting (height = radius) to that of a cubic casting of side two times the height of cylindrical casting is ________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
materialsmanufacturingandindustrialengineering
castingformingandjoiningprocess
differenttypesofcasting
0
votes
0
answers
GATE2015333
The annual requirement of rivets at a ship manufacturing company is $2000$ $kg$. The rivets are supplied in units of $1$ $kg$ costing $Rs$. $25$ each. If it costs $Rs$. $100$ to place an order and the annual cost of carrying one unit is $9$% of its purchase cost, the cycle length of the order (in days) will be ________
asked
Feb 24, 2017
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by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
materialsmanufacturingandindustrialengineering
productionplanningandcontrol
materialsrequirementplanning
0
votes
0
answers
GATE2015334
Orthogonal turning of a mild steel tube with a tool of rake angle $10^o$ is carried out at a feed of $0.14$ $mm/rev$. If the thickness of the chip produced is $0.28$ $mm$, the values of shear angle and shear strain will be respectively $28^o20′$ and $2.19$ $22^o20′$ and $3.53$ $24^o30′$ and $4.19$ $37^o20′$ and $5.19$
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
materialsmanufacturingandindustrialengineering
machiningandmachinetoolsoperations
0
votes
0
answers
GATE2015335
In a CNC milling operation, the tool has to machine the circular arc from point $(20, 20)$ to $(10, 10)$ at sequence number $5$ of the CNC part program. If the center of the arc is at $(20, 10)$ ... R$10$ N $05$ G$90$ G$03$ X$20$ Y$20$ R$10$ N $05$ G$91$ G$02$ X$20$ Y$20$ R$10$
asked
Feb 24, 2017
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Others
by
Arjun
(
21.2k
points)
gate2015me3
materialsmanufacturingandindustrialengineering
computerintegratedmanufacturing
0
votes
0
answers
GATE2015336
A Prandtl tube (Pitotstatic tube with $C$=$1$) is used to measure the velocity of water. The differential manometer reading is $10$ $mm$ of liquid column with a relative density of $10$. Assuming $g$ = $9.8$ $m$/$s^2$, the velocity of water (in $m/s$) is ________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
fluidmechanicsandthermalscience
fluidmechanics
0
votes
0
answers
GATE2015337
Refrigerant vapor enters into the compressor of a standard vapor compression cycle at −$10^oC$ ($h$ = $402$ $kJ/kg$) and leaves the compressor at $50^oC$ ($h$ = $432$ $kJ/kg$). It leaves the condenser at $30^oC$ ($h$ = $237$ $kJ/kg$). The COP of the cycle is ________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
fluidmechanicsandthermalscience
applications
refrigerationandairconditioning
0
votes
0
answers
GATE2015338
Steam enters a turbine at $30$ bar, $300^oC$ ($u$ = $2750$ $kJ/kg$, $h$ = $2993$ $kJ/kg$) 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 ________
asked
Feb 24, 2017
in
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by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
fluidmechanicsandthermalscience
applications
turbomachinery
0
votes
0
answers
GATE2015341
The value of $\int_{C}^{ }[(3x8y^2)dx+(4y6xy)dy]$, (where $C$ is the boundary of the region bounded by $x$ = $0$, $y$ = $0$ and $x+y$ = $1$) is ________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
engineeringmathematics
differentialequation
initialandboundaryvalueproblems
0
votes
0
answers
GATE2015339
Air in a room is at $35^oC$ and $60$% relative humidity (RH). The pressure in the room is $0.1$ $MPa$. The saturation pressure of water at $35^oC$ is $5.63$ $kPa$. The humidity ratio of the air (in $gram/kg$ of dry air) is ________
asked
Feb 24, 2017
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Others
by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
0
votes
0
answers
GATE2015340
A solid sphere $1$ of radius ‘$r$’ is placed inside a hollow, closed hemispherical surface $2$ of radius ‘$4r$’. The shape factor $F_{21}$ is $1/12$ $1/2$ $2$ $12$
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
0
votes
0
answers
GATE2015329
The number of degrees of freedom of the linkage shown in the figure is $3$ $0$ $1$ $2$
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
0
votes
0
answers
GATE2015316
The value of $\displaystyle{\lim_{x\rightarrow 0}\left(\frac{\sin x}{2\sin x+x\cos x}\right)}$ is ________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
engineeringmathematics
0
votes
0
answers
GATE2015317
A cylindrical tank with closed ends is filled with compressed air at a pressure of $500$ $kPa$. The inner radius of the tank is $2$ $m$, and it has wall thickness of $10$ $mm$. The magnitude of maximum inplane shear stress (in $MPa$) is ________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
numericalanswers
appliedmechanicsanddesign
mechanicsofmaterials
stressstrain
0
votes
0
answers
GATE2015318
A weight of $500$ $N$ is supported by two metallic ropes as shown in the figure. The values of tensions $T_1$ and $T_2$ are respectively $433$ $N$ and $250$ $N$ $250$ $N$ and $433$ $N$ $353.5$ $N$ and $250$ $N$ $250$ $N$ and $353.5$ $N$
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me3
appliedmechanicsanddesign
mechanicsofmaterials
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