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Recent questions tagged gate20152
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GATE20152GA9
$\log \tan 1^o + \log \tan 2^o +$ ..… $+ \log \tan 89^o$ is $1$ $1/\sqrt{2}$ $0$ $1$
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Feb 24, 2017
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gate20152
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GATE20152GA8
From a circular sheet of paper of radius $30$ $cm$, a sector of $10$% area is removed. If the remaining part is used to make a conical surface, then the ratio of radius and height of cone is_____
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gate20152
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GATE20152GA7
In the following question,the first and last sentence of the passage are in order and numbered 1 and 6. The rest of passage is split in 4 parts and numbered as 2, 3, 4 and 5. These four parts are not arranged in proper order. Read the sentences and arrange them in a logical sentence ... Houses looks so pretty with lighted lamps all around $2,5,3,4$ $5,2,4,3$ $3,5,4,2$ $4,5,2,3$
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gate20152
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GATE20152GA6
Ram and Shyam shared a secret and promised to each other that it would remain between them. Ram expressed himself in one of the following ways a given in the choices below. Identify the correct way as per standard English It would remain between you and me. It would remain between I and you. It would remain between you and I. It would remain between me.
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gate20152
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GATE20152GA5
If $x>y>1$ Which of the following must be true? $\ln x>\ln y$ $e^x>e^y$ $y^x>x^y$ $\cos x>\cos y$ (i) and (ii) (i) and (iii) (iii) and (iv) (ii) and (iv)
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gate20152
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GATE20152GA4
Find the missing sequence in letter series below: A, CD, DHI, ?, UVWXY LMN MNO MNOP NOPQ
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GATE20152GA1
Choose the most appropriate word from the options given below to complete the following sentence. If the athlete had wanted to come first in the race, he _________ several hours every day. should practice should have practiced practised should be practicing
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gate20152
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GATE20152GA10
Mr.X will be in Bagdogra from $01/05/2014$ to $20/05/2014$ and from $22/05/2014$ to $31/05/2014$.On the morning of $21/5/2104$, she will reach Kochi via Mumbai Which of the statement below is logically valid and can be inferred from the above sentence? Mr.X will ... day,only in May. Mr.X will be only in Kochi for one day,only in May. Only Mr.X will be in Kochi for one day in May.
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gate20152
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GATE20152GA3
Choose the correct verb to fill in the blank below: Let us _____ introvert alternate atheist altruist
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gate20152
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GATE20152GA2
Choose the most suitable one word substitute for the following expression: Connotation of a road or way Pertinacious Viaticum Clandestine Ravenous
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GATE2015255
A manufacturer has the following data regarding a product: Fixed cost per month = $Rs$. $50000$ Variable cost per unit = $Rs.$ $200$ Selling price per unit = $Rs$. $300$ Production capacity = $1500$ units per month If the production is carried out at $80$% of the rated capacity, then the monthly profit (in $Rs$.) is ____________
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GATE2015254
A project consists of $7$ activities. The network along with the time durations (in days) for various activities is shown in the figure. The minimum time (in days) for completion of the project is_________
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GATE2015253
A resistancecapacitance 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 $2.5$ $5.0$ $7.5$ $10.0$
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gate20152
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GATE2015252
A single point cutting tool with $0^o$ rake angle is used in an orthogonal machining process. At a cutting speed of $180$ $m/min$, the thrust force is $490$ $N$. If the coefficient of friction between the tool and the chip is $0.7$, then the power consumption (in $kW$) for the machining operation is ________
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gate20152
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GATE2015251
During a TIG welding process, the arc current and arc voltage were $50$ $A$ and $60$ $V$, respectively, when the welding speed was $150$ $mm/min$. In another process, the TIG welding is carried out at a welding speed of $120$ $mm/min$ at the same arc voltage and ... so that weld quality remains the same. The welding current (in $A$) for this process is $40.00$ $44.72$ $55.90$ $62.25$
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Feb 24, 2017
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21.5k
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gate20152
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GATE2015250
The flow stress (in $MPa$) of a material is given by $\sigma =500\varepsilon ^{0.1}$, where $ε$ is true strain. The Young’s modulus of elasticity of the material is $200$ $GPa$. A block of thickness $100$ $mm$ made of this material is compressed to $95$ $mm$ thickness and then the load is removed. The final dimension of the block (in $mm$) is _________
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gate20152
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GATE2015249
In a twostage wire drawing operation, the fractional reduction (ratio of change in crosssectional area to initial crosssectional area) in the first stage is $0.4$. The fractional reduction in the second stage is $0.3$. The overall fractional reduction is $0.24$ $0.58$ $0.60$ $1.00$
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gate20152
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GATE2015248
A cube and a sphere made of cast iron (each of volume $1000$ $cm^3$) were cast under identical conditions. The time taken for solidifying the cube was $4$ $s$. The solidification time (in $s$) for the sphere is __________
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gate20152
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GATE2015247
In a Rankine cycle, the enthalpies at turbine entry and outlet are $3159$ $kJ/kg$ and $2187$ $kJ/kg$, respectively. If the specific pump work is $2$ $kJ/kg$, the specific steam consumption (in $kg/kW$$h$) of the cycle based on net output is _______________
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gate20152
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GATE2015246
For the same values of peak pressure, peak temperature and heat rejection, the correct order of efficiencies for Otto, Dual and Diesel cycles is $\eta _{Otto}> \eta _{Dual}> \eta _{Diesel}$ $\eta _{Diesel}> \eta _{Dual}> \eta _{Otto}$ $\eta _{Dual}> \eta _{Diesel}> \eta _{Otto}$ $\eta _{Diesel}> \eta _{Otto}> \eta _{Dual}$
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gate20152
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GATE2015241
For a fully developed laminar flow of water (dynamic viscosity $0.001$ $P_{as}$) through a pipe of radius $5$ $cm$, the axial pressure gradient is −$10$ $Pa/m$. The magnitude of axial velocity (in $m/s$) at a radial location of $0.2$ $cm$ is _______
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gate20152
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GATE2015238
A hollow shaft ($d_o$ = $2d_i$ where $d_o$ and $d_i$ are the outer and inner diameters respectively) needs to transmit $20$ $kW$ power at $3000$ $RPM$. If the maximum permissible shear stress is $30$ $MPa$, do is $11.29$ $mm$ $22.58$ $mm$ $33.87$ $mm$ $45.16$ $mm$
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gate20152
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GATE2015245
One kg of air ($R$ = $287$ $J/kg$$K$) undergoes an irreversible process between equilibrium state $1$ ($20^oC$, $0.9$ $m^3$) and equilibrium state $2$ ($20^oC$, $0.6$ $m^3$). The change in entropy $s_2$ − $s_1$ (in $J$/$kg$$K$) is _______
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gate20152
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GATE2015244
Work is done on an adiabatic system due to which its velocity changes from $10$ $m/s$ to $20$ $m/s$, elevation increases by $20$ $m$ and temperature increases by $1$ $K$. The mass of the system is $10$ $kg$, $C_v$ = $100$ $J/(kg.K)$ and ... $kJ$) on the system is _______
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gate20152
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GATE2015243
A cylindrical uranium fuel rod of radius $5$ $mm$ in a nuclear reactor is generating heat at the rate of $4×107$ $W$/$m^3$. The rod is cooled by a liquid (convective heat transfer coefficient $1000$ $W$/$m^2$$K$) at $25^oC$. At steady state, the surface temperature (in $K$) of the rod is $308$ $398$ $418$ $448$
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gate20152
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GATE2015242
A balanced counterflow heat exchanger has a surface area of $20$ $m^2$ and overall heat transfer coefficient of $20$ $W$/$m^2$$K$. Air ($C_p$=$1000$ $J$/$kg$$K$) entering at $0.4$ $kg/s$ and $280$ $K$ is to be preheated by the air leaving the system at $0.4$ $kg/s$ and $300$ $K$. The outlet temperature (in $K$) of the preheated air is $290$ $300$ $320$ $350$
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Feb 24, 2017
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21.5k
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gate20152
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GATE2015240
The head loss for a laminar incompressible flow through a horizontal circular pipe is $h_1$. Pipe length and fluid remaining the same, if the average flow velocity doubles and the pipe diameter reduces to half its previous value, the head loss is $h_2$. The ratio $h_2$/$h_1$ is $1$ $4$ $8$ $16$
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Feb 24, 2017
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gate20152
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GATE2015239
The total emissive power of a surface is $500$ $W$/$m^2$ at a temperature $T_1$ and $1200$ $W$/$m^2$ at a temperature $T_2$, where the temperatures are in Kelvin. Assuming the emissivity of the surface to be constant, the ratio of the temperatures $\frac{T_1}{T_2}$ is $0.308$ $0.416$ $0.803$ $0.874$
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Feb 24, 2017
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gate20152
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GATE2015225
Sales data of a product is given in the following table: Month January February March April May Number of units sold 10 11 16 19 25 Regarding forecast for the month of June, which one of the following statements is TRUE? Moving ... average. Exponential smoothing will forecast a higher value compared to regression. Regression will forecast a higher value compared to moving average.
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Feb 24, 2017
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21.5k
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gate20152
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GATE2015229
The values of function $f(x)$ at $5$ discrete points are given below: $x$ $0$ $0.1$ $0.2$ $0.3$ $0.4$ $f(x)$ $0$ $10$ $40$ $90$ $160$ Using Trapezoidal rule with step size of $0.1$, the value of $\int_{0}^{0.4}f(x)dx$ is __________
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gate20152
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GATE2015237
A hollow shaft of $1$ $m$ length is designed to transmit a power of $30$ $kW$ at $700$ $rpm$. The maximum permissible angle of twist in the shaft is $1^o$. The inner diameter of the shaft is $0.7$ times the outer diameter. The modulus of rigidity is $80$ $GPa$. The outside diameter (in $mm$) of the shaft is__________
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gate20152
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GATE2015236
A singledegreefreedom springmass system is subjected to a sinusoidal force of $10$ $N$ amplitude and frequency $ω$ along the axis of the spring. The stiffness of the spring is $150$ $N/m$, damping factor is $0.2$ and the undamped natural frequency is $10ω$. At steady state, the amplitude of vibration (in $m$) is approximately $0.05$ $0.07$ $0.70$ $0.90$
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21.5k
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gate20152
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GATE2015234
In a plane stress condition, the components of stress at a point are $\sigma_x =20$ $MPa$, $\sigma _y=80$ $MPa$ and $\tau_ {xy}$=$40$ $MPa$ The maximum shear stress (in $MPa$) at the point is $20$ $25$ $50$ $100$
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gate20152
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GATE2015235
In a certain slidercrank mechanism, lengths of crank and connecting rod are equal. If the crank rotates with a uniform angular speed of $14$ $rad/s$ and the crank length is $300$ $mm$, the maximum acceleration of the slider (in $m$/$s^2$) is ___________
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GATE2015233
A cantilever beam with square crosssection of $6$ $mm$ side is subjected to a load of $2$ $kN$ normal to the top surface as shown in the figure. The Young’s modulus of elasticity of the material of the beam is $210$ $GPa$. The magnitude of slope (in radian) at Q ($20$ $mm$ from the fixed end) is ________
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GATE2015232
For the truss shown in the figure, the magnitude of the force (in $kN$) in the member SR is $10$ $14.14$ $20$ $28.28$
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Feb 24, 2017
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GATE2015231
A cantilever beam OP is connected to another beam PQ with a pin joint as shown in the figure. A load of $10$ $kN$ is applied at the midpoint of PQ. The magnitude of bending moment (in $kN$$m$) at fixed end O is $2.5$ $5$ $10$ $25$
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gate20152
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GATE2015230
The initial velocity of an object is $40$ $m/s$. The acceleration a of the object is given by the following expression: $a=0.1v$ where $v$ is the instantaneous velocity of the object. The velocity of the object after $3$ seconds will be _______
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gate20152
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GATE2015228
Consider the following differential equation: $\frac{dy}{dt}=5y$; initial condition: $y=2$ at $t=0$. The value of $y$ at $t$ = $3$ is $5e^{10}$ $2e^{10}$ $2e^{15}$ $15e^{2}$
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gate20152
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GATE2015227
The surface integral $\int \int_{s}^{ }\frac{1}{\pi }(9xi3yj)\cdot nds$ over the sphere given by $x^2+y^2+z^2=9$ is
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gate20152
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