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Recent questions tagged gate2012
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GATE201265
Which of the following assertions are $\textbf{CORRECT}$? Adding $7$ to each entry in a list adds $7$ to the mean of the list. Adding $7$ to each entry in a list adds $7$ to the standard deviation of the list. Doubling each entry in a list doubles the mean of the list. Doubling each entry in a list leaves the standard deviation of the list unchanged. $P,Q$ $Q,R$ $P,R$ $R,S$
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GATE201264
An automobile plant contracted to buy shock absorbers from two suppliers $X$ and $Y.$ $X$ supplies $60\%$ and $Y$ supplies $40\%$ ... chosen shock absorber, which is found to be reliable, is made by $Y$ is $0.288$ $0.334$ $0.667$ $0.720$
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Mar 20, 2018
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probability
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GATE201261
Given the sequence of terms, AD CG FK JP, the next terms is OV OW PV PW
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GATE201262
Wanted Temporary, Parttime persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: Highschool pass, must be available for the Day, Evening and Saturday work. ... best inference from the above advertisement? Genderdiscriminatory Xenophobic Not designed to make the post attractive Not genderdiscriminatory
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GATE201263
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y=2x0.1x^2$ where $y$ is the height of the arch in meters. The maximum possible height of the arch is $8$ meters $10$ meters $12$ meters $14$ meters
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GATE201260
Choose the grammatically INCORRECT sentence: They gave us the money back less the service charges of Three Hundred rupees. This country's expenditure is not less than that of Bangladesh. The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum. This country's expenditure on educational reforms is very less.
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GATE201259
Which one of the following options is the closest in meaning to the word given below? Mitigate Diminish Divulge Dedicate Denote
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GATE201258
Choose the most appropriate alternative from the options given below to complete the following sentence: Despite several ________ the mission succeeded in its attempt to resolve the conflict. attempts setbacks meetings delegations
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GATE201256
Choose the most appropriate alternative from the options given below to complete the following sentence: Suresh's dog is the one ______ was hurt in stampede that which who whom
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GATE201257
The cost function for a product in a firm is given by $5q^2$ where $q$ is the amount of production. The film can sell the product at a market price of INR 50 per unit. The number of units to be produced by the firm such that the profit is maximized is 5 10 15 25
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GATE201251
A refrigerator operates between 120 kPa and 800 kPa in an ideal vapor compression cycle with R134a as the refrigerant. The refrigerant renters the compressor as saturated vapor and leaves the condenser as saturated liquid. The mass flow rate of the refrigerant is 0.2kg/s. Properties for R ... kJ/kg.K) 800 40 276.45 0.95 The power required for the compressor in kW is 5.94 1.83 7.9 39.5
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GATE201253
Air enters an adiabatic nozzle at 300 kPa, 500 K with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm$^2$. The specific heat of air $C_p$ is 1008 J/kg.K. The exit area of the nozzle in $cm^4$ is 90.1 56.3 4.4 12.9
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GATE201252
Air enters an adiabatic nozzle at 300 kPa, 500 K with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm$^2$. The specific heat of air $C_p$ is 1008 J/kg.K. The exit temperature of the air is 516 K 532 K 484 K 468 K
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GATE201254
For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below. Activity Predecessors Duration(days) a  3 b a 4 c a 5 d a 4 e b 2 f d 9 g c,e 6 h f,g 2 The critical path for the project is abegh acgh adfh abcfh
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GATE201255
For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below. Activity Predecessors Duration (days) a  3 b a 4 c a 5 d a 4 e b 2 f d 9 ... the total duration to complete the project remain the same critical path changes but the total duration to complete the project changes to 17 days
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GATE201244
A force of 400 N is applied to the brake drum of 0.5 m diameter in a bandbrake system as shown in the figure, where the wrapping angle is 180$^o$. If the coefficient of friction between the drum and the band is 0.25, the braking torque applied, in N.m is 100.6 54.4 22.1 15.7
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GATE201245
A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is 1/20 1/12 3/10 1/2
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GATE201246
Consider the differential equation $x^2 \frac{d^2y}{dx^2}+x\frac{dy}{dx}4y=0$ with the boundary conditions of $y(0)=0$ and $y(1)=1$. The complete solution of the differential equation is $x^2$ $\sin (\frac{\pi x}{2})$ $e^x \sin(\frac{\pi x}{2})$ $e^{x} \sin(\frac{\pi x}{2})$
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GATE201247
x+2y=4 2x+y+2z=5 xy+z=1 The system of algebraic equations given above has a unique solution of x=1, y=1 and z=1 only the two solutions of (x=1, y=1, z=1) and (x=2, y=1, z=0) infinite number of solutions no feasible solution
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GATE201248
Two steel truss members, AC and BC, each having cross sectional area of 100 $mm^2$, are subjected to a horizontal force F as shown in the figure. All the joints are hinged. If F=1 kN. the magnitude of the vertical reaction force developed at the point B in kN is 0.63 0.32 1.26 1.46
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GATE201249
Two steel truss members, AC and BC, each having cross sectional area of 100 $mm^2$, are subjected to a horizontal force F as shown in the figure. All the joints are hinged. The maximum force F in kN that can be applied at $C$ such that the axial stress in any of the truss members DOES NOT exceed 100 MPa is 8.17 11.15 14.14 22.30
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GATE201250
A refrigerator operates between 120 kPa and 800 kPa in an ideal vapor compression cycle with R134a as the refrigerant. The refrigerant renters the compressor as saturated vapor and leaves the condenser as saturated liquid. The mass flow rate of the refrigerant is 0.2kg/s. Properties ... .95 The rate at which heat is extracted, in Kj/s from the refrigerated space is 28.3 42.9 34.4 14.6
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GATE201236
For the matrix $A = \begin{bmatrix} 5 & 3 \\ 1 & 3 \end{bmatrix}$, ONE of the normalized eigen vectors is given as $\begin{pmatrix} \frac{1}{2} \\ \frac{\sqrt{3}}{2} \end{pmatrix}$ $\begin{pmatrix} \frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{2}} \end{pmatrix}$ ... $\begin{pmatrix} \frac{1}{\sqrt{5}} \\ \frac{2}{\sqrt{5}} \end{pmatrix}$
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GATE201237
Calculate the punch size in mm, for a circular blanking operation for which details are given below. Size of te blank 25 mm Thickness of the sheet 2 mm Radical clearance between punch and die 0.06 mm Die allowance 0.05 mm 24.83 24.89 25.01 25.17
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GATE201238
In a single pass rolling process using 410 mm diameter steel rollers, a strip of width 140 mm and thickness 8 mm undergoes 10% reduction of thickness. The angle of bite in radians is
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GATE201239
In a DC arc welding operation, the voltagearc length characteristic was obtained as $V_{arc} = 20+5l$ where the arc length $l$ was varied between 5 mm and 7 mm. Here $V_{arc}$ denotes the arc voltage in $volts$. The arc current was varied from 400 A and 500 A. ... voltage and the short circuit current for the welding operation are 45 V, 450 A 75 V, 750 A 95 V, 950 A 150 V, 1500 A
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GATE201240
A large tank with a nozzle attached contains three immiscible, inviscid fluid as shown. Assuming that the changes in $h_1, h_2$ and $h_3$ ...
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Mar 20, 2018
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GATE201241
Water $(C_p=4.18 \: kJ/kg.K)$ at 80$^oC$ enters a counterflow heat exchanger with a mass flow rate of $0.5 \: kg/s$. Air ($C_p=1 \: kJ/kg.K$) enters at $30^oC$ with a mass flow rate of $2.09 \: kg/s$. If the effectiveness of heat exchanger is $0.8$, the LMTD (in $^oC$) is 40 20 10 5
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GATE201242
A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by $\Delta T$. If the thermal coefficient of the material is $\alpha$, Young's modulus is $E$ and the Poisson's ratio is $\upsilon$ ... $\frac{\alpha (\Delta T) E}{3 (12 \upsilon)}$
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GATE201243
A solid circular shaft needs to be designed to transmit a torque of 50 N.m. If the allowable shear stress of the material is 140 MPa, assuming a factor of safety of 2, the minimum allowable design diameter in mm is 8 16 24 32
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GATE201229
Consider two infinitely long thin concentric tubes of circular cross section as shown in the figure. If $D_1$ and $D_2$ are the diameters of the inner and outer tubes respectively, then the view factor $F_{22}$ is given by $\bigg( \frac{D_1}{D_2} \bigg) 1$ zero $\bigg( \frac{D_1}{D_2} \bigg)$ $1 \bigg( \frac{D_1}{D_2} \bigg)$
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GATE201230
An incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer thickness is 1 mm at a location where the Reynolds number is 1000. If the velocity of the fluid alone is increased by a factor of 4, then the boundary layer thickness at the same location, in mm will be 4 2 0.5 0.25
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GATE201231
A room contains 35 kg of dry air and 0.5 kg of water vapor. The total pressure and temperature of air in the room are 100 kPa and 25$^o$C respectively. Given that the saturation pressure for water at 25$^o$C is 3.17 kPa, the relative humidity of the air in the room is 67% 55% 83% 71%
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GATE201232
A fillet welded joint is subjected to transverse loading $F$ as shown in the figure. Both legs of the fillets are of 10 mm size and the weld length is 30 mm. If the allowable shear stress of the weld is 94 MPa, considering the minimum throat area of the weld, the maximum allowable transverse load in kN is 14.44 17.92 19.93 22.16
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GATE201233
A concentrated mass $m$ is attached at the centre of the rod of length $2L$ as shown in the figure. The rod is kept in a horizontal equilibrium position by a spring of stiffness $k$. For every small amplitude of vibration, neglecting the weights of teh rod and spring, the undamped natural frequency ... $\sqrt{\frac{2k}{m}}$ $\sqrt{\frac{k}{2m}}$ $\sqrt{\frac{4k}{m}}$
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GATE201234
The state of stress at a point under plane stress condition is $\sigma_{xx} = 40 \: MPa, \: \: \sigma_{yy} = 100 \: MPa \: \: \text{and }\tau_{xy} =40 \: Mpa$ The radius of the Mohr's circle representing the given state of stress in $MPa$ is 40 50 60 100
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GATE201235
The inverse Laplace transform of the function $F(s) = \frac{1}{s(s+1)}$ is given by $f(t) = \sin t$ $f(t) = e^{t} \sin t$ $f(t) = e^{t}$ $f(t) = 1e^{t}$
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GATE201225
For the spherical surface $x^2+y^2+z^2=1$, the unit outward normal vector at th point $( \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, 0)$ is given by $\frac{1}{\sqrt{2}} \hat{i} +\frac{1}{\sqrt{2}} \hat{j}$ $\frac{1}{\sqrt{2}} \hat{i} \frac{1}{\sqrt{2}} \hat{j}$ $\hat{k}$ $\frac{1}{\sqrt{3}} \hat{i} +\frac{1}{\sqrt{3}} \hat{j} +\frac{1}{\sqrt{3}} \hat{k}$
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GATE201224
At $x=0$, the function $f(x)=x^3+1$ has a maximum value a minimum value a singularity a point of inflection
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GATE201223
For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is 1 2 4 8
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