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Recent questions tagged gateme-2016-set1
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GATE Mechanical 2016 Set 1 | GA Question: 9
If $q^{-a}=\displaystyle{\frac{1}{r}}$ and $r^{-b}=\displaystyle{\frac{1}{s}}$ and $s^{-c}=\displaystyle{\frac{1}{q}}$, the value of $abc$ is $(rqs)^{-1}$ $0$ $1$ $r+q+s$
Arjun
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in
Quantitative Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-ability
algebra
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 8
Leela is older than her cousin Pavithra. Pavithra's brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does. Which one of the following statements ... the oldest of the three. Shiva is a better chess player than Pavithra. Pavithra is the youngest of the three.
Arjun
asked
in
Analytical Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
analytical-aptitude
logical-reasoning
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 7
In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. However, the events of the last week proved him wrong. Which of the following inference(s) is/are logically ... him last week. $(i)$ and $(ii)$ $(iii)$ and $(iv)$ $(iii)$ only $(iv)$ only
Arjun
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in
Verbal Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
verbal-ability
verbal-reasoning
passage-reading
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 6
A person moving through a tuberculosis prone zone has a $50\%$ probability of becoming infected. However, only $30\%$ of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease? $15$ $33$ $35$ $37$
Arjun
asked
in
Quantitative Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-ability
percentage
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 10
$P$, $Q$, $R$ and $S$ are working on a project. $Q$ can finish the task in $25$ days, working alone for $12$ hours a day. $R$ can finish the task in $50$ days, working alone for $12$ hours per day. $Q$ worked $12$ hours a day but took sick ... ratio of work done by $Q$ and $R$ after $7$ days from the start of the project? $10:11$ $11:10$ $20:21$ $21:20$
Arjun
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in
Quantitative Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-ability
work-time
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 5
Michael lives $10$ $km$ away from where I live. Ahmed lives $5$ $km$ away and Susan lives $7$ $km$ away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in $km$) at which I live from Arun’s place? $3.00$ $4.99$ $6.02$ $7.01$
Arjun
asked
in
Quantitative Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-ability
speed-time-distance
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 4
In a huge pile of apples and oranges, both ripe and unripe mixed together, $15\%$ are unripe fruits. Of the unripe fruits, $45\%$ are apples. Of the ripe ones, $66\%$ are oranges. If the pile contains a total of $5692000$ fruits, how many of them are apples? $2029198$ $2467482$ $2789080$ $3577422$
Arjun
asked
in
Quantitative Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-ability
percentage
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 3
Despite the new medicine’s ______________ in treating diabetes, it is not ______________widely. effectiveness --- prescribed availability --- used prescription --- available acceptance --- proscribed
Arjun
asked
in
Verbal Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
verbal-ability
word-pairs
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 2
The policeman asked the victim of a theft, “What did you __________?” loose lose loss louse
Arjun
asked
in
Verbal Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
verbal-ability
english-grammar
0
answers
0
votes
GATE Mechanical 2016 Set 1 | GA Question: 1
Which of the following is CORRECT with respect to grammar and usage? Mount Everest is ____________. the highest peak in the world highest peak in the world one of highest peak in the world one of the highest peak in the world
Arjun
asked
in
Verbal Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
verbal-ability
english-grammar
0
answers
0
votes
GATE2016-1-55
Maximize $Z = 15X_1 + 20X_2$ subject to $\begin{array}{l} 12X_1 + 4X_2 \geq 36 \\ 12X_1 − 6X_2 \leq 24 \\ X_1, X_2 \geq 0 \end{array}$ The above linear programming problem has infeasible solution unbounded solution alternative optimum solutions degenerate solution
Arjun
asked
in
Numerical Methods
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-methods
linear-programming
0
answers
0
votes
GATE2016-1-53
The figure below represents a triangle $PQR$ with initial coordinates of the vertices as $P(1,3)$, $Q(4,5)$ and $R(5,3.5)$. The triangle is rotated in the $X$-$Y$ plane about the vertex $P$ by angle $\theta$ in clockwise direction. If sin$\theta$ = $0.6$ and cos$\theta$ = $0.8$, the new coordinates of the vertex $Q$ are $(4.6, 2.8)$ $(3.2, 4.6)$ $(7.9, 5.5)$ $(5.5, 7.9)$
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
calculus
vector-identities
0
answers
0
votes
GATE2016-1-54
The annual demand for an item is $10,000$ units. The unit cost is $Rs$. $100$ and inventory carrying charges are $14.4\%$ of the unit cost per annum. The cost of one procurement is $Rs$. $2000$. The time between two consecutive orders to meet the above demand is _______ month($s$).
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
operations-research
0
answers
0
votes
GATE2016-1-52
A $300$ $mm$ thick slab is being cold rolled using roll of $600$ $mm$ diameter. If the coefficient of friction is $0.08$, the maximum possible reduction (in $mm$) is __________
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
0
answers
0
votes
GATE2016-1-51
A cylindrical job with diameter of $200$ $mm$ and height of $100$ $mm$ is to be cast using modulus method of riser design. Assume that the bottom surface of cylindrical riser does not contribute as cooling surface. If the diameter of the riser is equal to its height, then the height of the riser (in $mm$) is $150$ $200$ $100$ $125$
Arjun
asked
in
Mechanics of Materials
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
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 $0.15$ $1.06$ $22.50$ $30.0$
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
materials-manufacturing-and-industrial-engineering
machining-and-machine-tools-operations
tool-life-and-wear
0
answers
0
votes
GATE2016-1-49
Heat is removed from a molten metal of mass $2$ $kg$ at a constant rate of $10$ $kW$ till it is completely solidified.The cooling curve is shown in the figure Assuming uniform temperature throughout the volume of the metal during solidification,the latent heat of fusion of metal ( in $kJ$/$kg$) is _________
Arjun
asked
in
Heat Transfer
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical
fluid-mechanics-and-thermal-science
heat-transfer
0
answers
0
votes
GATE2016-1-48
A hypothetical engineering stress-strain curve shown in the figure has three straight lines $PQ, QR, RS$ with coordinates P$(0,0)$, Q$(0.2,100)$, R$(0.6,140)$ and S$(0.8,130)$. $'Q'$ is the yield point, $'R'$ is the UTS point and $'S'$ the fracture point. The toughness of the material (in $MJ/m^3$) is __________
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
0
answers
0
votes
GATE2016-1-47
In a steam power plant operating on an ideal Rankine cycle, superheated steam enters the turbine at $3 \: MPa$ and $350^ \circ C$. The condenser pressure is $75$ $kPa$. The thermal efficiency of the cycle is ________ percent. Given data: For saturated liquid, at $P=75 \:kPa$ ... $T=350^\circ C$ (superheated steam), $h=3115.3 \: kJ/kg$, $s=6.7428 \: kJ/kg-K$
Arjun
asked
in
Applications
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
applications
vapour-and-gas-power-cycles
0
answers
0
votes
GATE2016-1-46
An ideal gas undergoes a reversible process in which the pressure varies linearly with volume. The conditions at the start (subscript $1$) and at the end (subscript $2$) of the process with usual notation are: $p_1 = 100 \: kPa$, $V_1 = 0.2 \: m^3$ ... $R=0.275\:kJ/kg-K$. The magnitude of the work required for the process (in $kJ$) is ________
Arjun
asked
in
Applications
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
applications
vapour-and-gas-power-cycles
0
answers
0
votes
GATE2016-1-45
For water at $25^\circ C$, $dp_s/dT_s = 0.189 \: kPa/K$ ($p_s$ is the saturation pressure in $kPa$ and $T_s$ is the saturation temperature in $K$) and the specific volume of dry saturated vapour is $43.38 \: m^3/kg$. Assume that the ... vapour. Using the Clausius-Clapeyron equation, an estimate of the enthalpy of evaporation of water at $25^\circ C$ (in $kJ / kg$) is __________
Arjun
asked
in
Heat Transfer
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
0
answers
0
votes
GATE2016-1-44
A fluid (Prandtl number, $P_r=1$) at $500\:K$ flows over a flat plate of $1.5\:m$ length, maintained at $300\: K$. The velocity of the fluid is $10 \: m/s$. Assuming kinematic viscosity,$v=30\times 10^{-6}$ $m^2/s$, the thermal boundary layer thickness (in $mm$) at $0.5 \:m$ from the leading edge is __________
Arjun
asked
in
Fluid Mechanics
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
0
answers
0
votes
GATE2016-1-43
An infinitely long furnace of $0.5\:m\times 0. 4 \:m$ cross-section is shown in the figure below. Consider all surfaces of the furnace to be black. The top and bottom walls are maintained at temperature $T_1=T_3=927^\circ C$ ... loss or gain on side $1$ is_________ $W/m$. Stefan-Boltzmann constant = $5.67 \times 10^{-8}$ $W/m^2-K^4$
Arjun
asked
in
Heat Transfer
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
heat-transfer-correlations-for-flow-over-flat-plates-and-through-pipes
0
answers
0
votes
GATE2016-1-42
A steel ball of $10\:mm$ diameter at $1000\:K$ is required to be cooled to $350\:K$ by immersing it in a water environment at $300\:K$. The convective heat transfer coefficient is $1000\:W/m^2-K$. Thermal conductivity of steel is $40\:W/m-K$. The time constant for the cooling process $\tau$ is $16\:s$. The time required (in $s$) to reach the final temperature is __________
Arjun
asked
in
Heat Transfer
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
0
answers
0
votes
GATE2016-1-41
A steady laminar boundary layer is formed over a flat plate as shown in the figure. The free stream velocity of the fluid is $U_o$. The velocity profile at the inlet $a-b$ is uniform, while that at a downstream location $c-d$ ... rate, $\dot{m}_{bd}$ leaving through the horizontal section $b-d$ to that entering through the vertical section $a-b$ is ___________
Arjun
asked
in
Heat Transfer
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
heat-transfer
thermal-boundary-layer
0
answers
0
votes
GATE2016-1-40
Oil (kinematic viscosity, $v_{\text{oil}}=1.0\times 10^{-5} \:m^2/s$) flows through a pipe of $0.5$ $m$ diameter with a velocity of $10$ $m/s$. Water (kinematic viscosity, $v_w=0.89\times 10^{-6}\:m^2/s$) is flowing through a model pipe of diameter $20 \:mm$. For satisfying the dynamic similarity, the velocity of water (in $m/s$) is __________
Arjun
asked
in
Fluid Mechanics
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
fluid-mechanics-and-thermal-science
fluid-mechanics
0
answers
0
votes
GATE2016-1-39
An inverted U-tube manometer is used to measure the pressure difference between two pipes $A$ and $B$ ,as shown in figure.pipe $A$ is carrying oil (specific gravity$=0.8$ ) and pipe $B$ is carrying water.The densities of air and water are $1.16 kg/m^3$ ... $A$ and $B$ is ________$kPa$. Acceleration due to gravity $g =10\:m/s^2$.
Arjun
asked
in
Materials, Manufacturing and Industrial Engineering
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
materials-manufacturing-and-industrial-engineering
metrology-and-inspection
0
answers
0
votes
GATE2016-1-38
The principal stresses at a point inside a solid object are $\sigma _1$ = $100$ $MPa$, $\sigma _2$ = $100$ $MPa$ and $\sigma _3$ = $0$ $MPa$. The yield strength of the material is $200$ $MPa$. The factor of safety calculated using Tresca (maximum shear stress) theory is ... one of the following relations is TRUE? $n_T=(\sqrt{3}/2)n_V$ $n_T=(\sqrt{3})n_V$ $n_T=n_V$ $n_V=(\sqrt{3})n_T$
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
applied-mechanics-and-design
mechanics-of-materials
stress-strain
0
answers
0
votes
GATE2016-1-37
A solid disc with radius $a$ is connected to a spring at a point $d$ above the center of the disc. The other end of the spring is fixed to the vertical wall. The disc is free to roll without slipping on the ground. The mass of the disc is $M$ and the spring constant is $K$. The ... $\displaystyle{\sqrt{\frac{2K(a+d)^2}{Ma^2}}} \\$ $\displaystyle{\sqrt{\frac{K(a+d)^2}{Ma^2}}}$
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
GATE2016-1-36
In the gear train shown, gear $3$ is carried on arm $5$. Gear $3$ meshes with gear $2$ and gear $4$. The number of teeth on gear $2$, $3$, and $4$ are $60$, $20$, and $100$, respectively. If gear $2$ is fixed and gear $4$ ... the counterclockwise direction, the angular speed of arm $5$ (in $rpm$) is $166.7$ counterclockwise $166.7$ clockwise $62.5$ counterclockwise $62.5$ clockwise
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
applied-mechanics-and-design
theory-of-machines
gears-and-gear-trains
0
answers
0
votes
GATE2016-1-35
A slider crank mechanism with crank radius $200\:mm$ and connecting rod length $800\:mm$ is shown. The crank is rotating at $600\:rpm$ in the counterclockwise direction. In the configuration shown, the crank makes an angle of $90^\circ$ with the sliding ... $kN-m$) is __________
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
machine-design
0
answers
0
votes
GATE2016-1-34
A simply-supported beam of length $3L$ is subjected to the loading shown in the figure. It is given that $P=1\: N$, $L=1\:m$ and Young's modulus $E=200\:GPa$. The cross-section is a square with dimension $10\:mm\times10\:mm$. The ... at a distance of $1.5L$ from the left end is _____________ (Indicate compressive stress by a negative sign and tensile stress by a positive sign.)
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
GATE2016-1-33
The figure shows cross-section of a beam subjected to bending. The area moment of inertia (in $mm^4$) of this cross-section about its base is ________
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
bending-and-shear-stress
0
answers
0
votes
GATE2016-1-32
A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young’s moduli for the sections $AB$ and $BC$ are $3E$ and $E$, respectively. For the deflection at $C$ to be zero, the ratio $\displaystyle{\frac{P}{F}}$ is ____________
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
0
answers
0
votes
GATE2016-1-20
The “Jominy test” is used to find Young’s modulus hardenability yield strength thermal conductivity
Arjun
asked
in
Applications
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
fluid-mechanics-and-thermal-science
applications
0
answers
0
votes
GATE2016-1-29
Gauss-Seidel method is used to solve the following equations (as per the given order): $x_1+2x_2+3x_3=5$ $2x_1+3x_2+x_3=1$ $3x_1+2x_2+x_3=3$ Assuming initial guess as $x_1=x_2=x_3=0$ , the value of $x_3$ after the first iteration is __________
Arjun
asked
in
Numerical Methods
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
numerical-methods
gauss-seidel-method
0
answers
1
vote
GATE2016-1-28
The value of the integral $\displaystyle{\int_{-\infty }^{\infty }\frac{\sin x}{x^2+2x+2}}dx$ evaluated using contour integration and the residue theorem is $\displaystyle{\frac{-\pi \sin(1)}{e}}\\$ $\displaystyle{\frac{-\pi \cos (1)}{e}} \\$ $\displaystyle{\frac{\sin (1)}{e}} \\$ $\displaystyle{\frac{\cos (1)}{e}}$
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
calculus
definite-integrals
0
answers
0
votes
GATE2016-1-27
If $y=f(x)$ satisfies the boundary value problem ${y}''+9y=0$ , $y(0)=0$ , $y(\pi /2)=\sqrt{2}$, then $y(\pi /4)$ is ________
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
calculus
boundary-value-problems
0
answers
0
votes
GATE2016-1-26
Consider the function $f(x)=2x^3-3x^2$ in the domain $[-1,2]$ The global minimum of $f(x)$ is ____________
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
numerical-answers
calculus
maxima-minima
0
answers
0
votes
GATE2016-1-31
A two-member truss $PQR$ is supporting a load $W$. The axial forces in members $PQ$ and $QR$ are respectively $2W$ tensile and $\sqrt{3}W$ compressive $\sqrt{3}W$ tensile and $2W$ compressive $\sqrt{3}W$ compressive and $2W$ tensile $2W$ compressive and $\sqrt{3}W$ tensile
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set1
applied-mechanics-and-design
engineering-mechanics
trusses
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