# Recent questions tagged gateme-2012

1 vote
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. $P,Q$ $Q,R$ $P,R$ $R,S$
1 vote
An automobile plant contracted to buy shock absorbers from two suppliers $X$ and $Y.$ $X$ supplies $60\%$ and $Y$ supplies $40\%$ of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of $X'$s shock ... randomly chosen shock absorber, which is found to be reliable, is made by $Y$ is $0.288$ $0.334$ $0.667$ $0.720$
1 vote
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 $y=2x-0.1x^2$ 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
1 vote
Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High-school pass, must be available for the Day, Evening and Saturday work. Transportation paid ... best inference from the above advertisement? Gender-discriminatory Xenophobic Not designed to make the post attractive Not gender-discriminatory
1 vote
Given the sequence of terms, AD CG FK JP, the next terms is OV OW PV PW
1 vote
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.
1 vote
Which one of the following options is the closest in meaning to the word given below? Mitigate Diminish Divulge Dedicate Denote
1 vote
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
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 $5$ $10$ $15$ $25$
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
1 vote
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. ... $a-b-e-g-h$ $a-c-g-h$ $a-d-f-h$ $a-b-c-f-h$
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. ... duration to complete the project remain the same critical path changes but the total duration to complete the project changes to $17$ days
1 vote
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 $90.1$ $56.3$ $4.4$ $12.9$
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
1 vote
A refrigerator operates between $120$ kPa and $800$ kPa in an ideal vapor compression cycle with $R-134a$ 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 $0.2$ kg/s. Properties for $R-134a$ are as follows: The power required for the compressor in kW is $5.94$ $1.83$ $7.9$ $39.5$
$x+2y+z=4$ $2x+y+2z=5$ $x-y+z=1$ 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
Consider the differential equation $x^2 \dfrac{d^2y}{dx^2}+x\dfrac{dy}{dx}-4y=0$ with the boundary conditions of $y(0)=0$ and $y(1)=1$. The complete solution of the differential equation is $x^2 \\$ $\sin \left (\dfrac{\pi x}{2} \right ) \\$ $e^x \sin \left (\dfrac{\pi x}{2} \right ) \\$ $e^{-x} \sin \left (\dfrac{\pi x}{2} \right) \\$
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 $1/20$ $1/12$ $3/10$ $1/2$
A refrigerator operates between $120$ kPa and $800$ kPa in an ideal vapor compression cycle with $R-134a$ 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 $0.2$ kg/s. ... The rate at which heat is extracted, in Kj/s from the refrigerated space is $28.3$ $42.9$ $34.4$ $14.6$
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 $8.17$ $11.15$ $14.14$ $22.30$
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 $0.63$ $0.32$ $1.26$ $1.46$
A force of $400$ N is applied to the brake drum of $0.5$ m diameter in a band-brake system as shown in the figure, where the wrapping angle is $180^{\circ}$. If the coefficient of friction between the drum and the band is $0.25$, the braking torque applied, in N.m is $100.6$ $54.4$ $22.1$ $15.7$
Calculate the punch size in mm, for a circular blanking operation for which details are given below. $\begin{array}{ll} \text{Size of the blank} & 25 \text{ mm} \\ \text{Thickness of the sheet} & 2 \text{ mm} \\ \text{Radical clearance between punch and die} & 0.06 \text{ mm} \\ \text{Die allowance} & 0.05 \text{ mm} \end{array}$ $24.83$ $24.89$ $25.01$ $25.17$
For the matrix $A = \begin{bmatrix} 5 & 3 \\ 1 & 3 \end{bmatrix}$, ONE of the normalized eigen vectors is given as $\begin{pmatrix} \dfrac{1}{2} \\ \dfrac{\sqrt{3}}{2} \end{pmatrix} \\$ $\begin{pmatrix} \dfrac{1}{\sqrt{2}} \\ \dfrac{-1}{\sqrt{2}} \end{pmatrix} \\$ ... $\begin{pmatrix} \dfrac{1}{\sqrt{5}} \\ \dfrac{2}{\sqrt{5}} \end{pmatrix}$
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 $8$ $16$ $24$ $32$
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 $\upsilon$ ... $-\dfrac{\alpha (\Delta T) E}{3 (1-2 \upsilon)}$
Water $(C_p=4.18 \: kJ/kg.K)$ at $80^{\circ} C$ enters a counterflow heat exchanger with a mass flow rate of $0.5 \: kg/s$. Air ($C_p=1 \: kJ/kg.K$) enters at $30^{\circ} C$ with a mass flow rate of $2.09 \: kg/s$. If the effectiveness of heat exchanger is $0.8$, the LMTD (in $^{\circ} C$) is $40$ $20$ $10$ $5$
A large tank with a nozzle attached contains three immiscible, inviscid fluid as shown. Assuming that the changes in $h_1, h_2$ and $h_3$ ...
In a DC arc welding operation, the voltage-arc 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. Assuming linear ... current for the welding operation are $45$ V, $450$ A $75$ V, $750$ A $95$ V, $950$ A $150$ V, $1500$ A
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 $0.006$ $0.031$ $0.062$ $0.600$
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 $\bigg( \dfrac{D_1}{D_2} \bigg) -1 \\$ $\text{zero} \\$ $\bigg( \dfrac{D_1}{D_2} \bigg) \\$ $1- \bigg( \dfrac{D_1}{D_2} \bigg)$
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 $40$ $50$ $60$ $100$
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 the rod and spring, the undamped natural frequency of the ... $\sqrt{\dfrac{2k}{m}} \\$ $\sqrt{\dfrac{k}{2m}} \\$ $\sqrt{\dfrac{4k}{m}}$
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 $14.44$ $17.92$ $19.93$ $22.16$
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 $25^{\circ}$C respectively. Given that the saturation pressure for water at $25^{\circ}$ C is $3.17$ kPa, the relative humidity of the air in the room is $67 \%$ $55 \%$ $83 \%$ $71 \%$
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 $4$ $2$ $0.5$ $0.25$
For the spherical surface $x^2+y^2+z^2=1$, the unit outward normal vector at th point $\left( \dfrac{1}{\sqrt{2}}, \dfrac{1}{\sqrt{2}}, 0\right)$ is given by $\dfrac{1}{\sqrt{2}} \hat{i} +\dfrac{1}{\sqrt{2}} \hat{j} \\$ $\dfrac{1}{\sqrt{2}} \hat{i} -\dfrac{1}{\sqrt{2}} \hat{j} \\$ $\hat{k} \\$ $\dfrac{1}{\sqrt{3}} \hat{i} +\dfrac{1}{\sqrt{3}} \hat{j} +\dfrac{1}{\sqrt{3}} \hat{k}$
At $x=0$, the function $f(x)=x^3+1$ has a maximum value a minimum value a singularity a point of inflection
In a single pass drilling operation, a through hole of $15$ mm diameter is to be drilled in a steel plate of $50$ mm thickness. Drill spindle speed is $500$ rpm, feed is $0.2$ mm/rev and drill point angle is $118^{\circ}$. Assuming $2$ mm clearance at approach and exit, the total drill time (in seconds) is $35.1$ $32.4$ $31.2$ $30.1$
Details pertaining to an orthogonal mental cutting process are given below. ... $0.1781 \times 10^5$ $0.7754 \times 10^5$ $1.0104 \times 10^5$ $4.397 \times 10^5$