Recent questions tagged gateme-2018-set2

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GATE Mechanical 2018 Set 2 | GA Question: 9
A house has a number which need to be identified. The following three statements are given that can help in identifying the house number? If the house number is a multiple of $3$, then it is a number from $50$ to $59$. If the house number is NOT a multiple of ... of $6$, then it is a number from $70$ to $79$. What is the house number? $54$ $65$ $66$ $76$

Arjun asked in Analytical Aptitude Feb 17, 2018

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GATE Mechanical 2018 Set 2 | GA Question: 8
A contract is to be completed in $52$ days and $125$ identical robots were employed, each operational for $7$ hours a day. After $39$ days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for $8$ hours a day? $50$ $89$ $146$ $175$

Arjun asked in Quantitative Aptitude Feb 17, 2018

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GATE Mechanical 2018 Set 2 | GA Question: 7
A wire would enclose an area of $1936 \: m^2$, if it is bent to a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a ... following choices is closest to the sum of the areas enclosed by the two pieces in square meters? $1096$ $1111$ $1243$ $2486$

Arjun asked in Quantitative Aptitude Feb 17, 2018

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GATE Mechanical 2018 Set 2 | GA Question: 5
The value of the expression $\dfrac{1}{1+ \log_u \: vw} + \dfrac{1}{1+ \log_v \: wu} + \dfrac{1}{1+\log_w uv}$ is _______ $-1$ $0$ $1$ $3$

Arjun asked in Quantitative Aptitude Feb 17, 2018

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GATE Mechanical 2018 Set 2 | GA Question: 10
An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head ans T stands for tail, the following are the observations from the four trials. HTHTHT TTHHHT HTTHHT ... Two T will occur. One H and one T will occur. Two H will occur. One H wll be followed by one T.

Arjun asked in Quantitative Aptitude Feb 17, 2018

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GATE Mechanical 2018 Set 2 | GA Question: 6
Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films? $0$ $2$ $4$ $8$

Arjun asked in Analytical Aptitude Feb 17, 2018

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GATE Mechanical 2018 Set 2 | GA Question: 4
The perimeters of a circle, a square, and an equilateral triangle are equal. Which one of the following statements is true? The circle has the largest area The square has the largest area The equilateral triangle has the largest area All the three shapes have the same area

Arjun asked in Quantitative Aptitude Feb 17, 2018

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GATE Mechanical 2018 Set 2 | GA Question: 3
Find the missing group of letters in the following series: BC, FCH, LMNO, ______ UVWXY TUVWX STUVW RSTUV

Arjun asked in Analytical Aptitude Feb 17, 2018

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GATE Mechanical 2018 Set 2 | GA Question: 2
" The judge's standing in the legal; community, though shaken by false allegations of wrongdoing. remained ______ ." The word that best fills the blank in the above sentence is undiminished damaged illegal uncertain

Arjun asked in Verbal Aptitude Feb 17, 2018

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GATE Mechanical 2018 Set 2 | GA Question: 1
"The dress ______ her so well that they all immediately _______ her on her appearance." The words that best fill the blanks in the above sentence are complemented, complemented complimented, complemented complimented, complimented complemented, complimented

Arjun asked in Verbal Aptitude Feb 17, 2018

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GATE2018-2-55
A vehicle powered by a spark ignition engine follows air standard Otto cycle ($\gamma =1.4$). The engine generates $70$ kW while consuming $10.3$ kg/hr of fuel. The calorific value of the fuel is $44,000 \: kJ/kg$. The compression ratio is _________ (correct to two decimal places.

Arjun asked in Applications Feb 17, 2018

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GATE2018-2-54
Steam in the condenser of a thermal power plant is to be condensed at a temperature of $30^{\circ}C$ with cooling water which enters the tubes of the condenser at $14^{\circ}C$ and exists at $22^{\circ}C$ ... coefficient is $2000 \: W/m^2 \: K$. The heat transfer (in $MW$) to the condenser is _________ (correct to two decimal places).

Arjun asked in Heat Transfer Feb 17, 2018

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GATE2018-2-53
A welding operation is being performed with voltage $= 30 \: V$ and current =$100 \: A$. The cross-sectional area of the weld bead is $20 \: mm^2$. The work-piece and filler are titanium for which the specific energy of melting is $14 \: J/mm^3$. Assuming a thermal efficiency of the welding process $70 \%$, the welding speed (in $mm/s$) is __________ (correct to two decimal places).

Arjun asked in Casting, Forming and Joining Processes Feb 17, 2018

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GATE2018-2-52
A circular hole of $25 \: mm$ diameter and depth of $20 \: mm$ is machined by EDM process. The material removal rate (in $mm^3/min$) is expressed as $ 4 \times 10^4 \: IT^{-1.23}$ where $I=300 \: A $ and the melting point of the material, $T=1600^{\circ}C$. The time ( in minutes) for machining this hole is _________ (correct to two decimal places)

Arjun asked in Casting, Forming and Joining Processes Feb 17, 2018

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GATE2018-2-51
The arc lengths of a directed graph of a project are as shown in the figure. The shortest path length from node $1$ to node $6$ is __________

Arjun asked in Operations Research Feb 17, 2018

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GATE2018-2-50
For sand-casting a steel rectangular plate with dimensions $80 \: mm \times 120 \: mm \times 20 \: mm$, a cylindrical riser has to be designed. The height of the riser is equal to its diameter. The total solidification time for the casting in $2$ ... a solidification time for $3$ minutes in the riser, the diameter (in mm) of the riser is ________ (correct to two decimal places)

Arjun asked in Casting, Forming and Joining Processes Feb 17, 2018

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GATE2018-2-49
Taylor's tool life equation is used to estimate the life of a batch of identical HSS twist drills by drilling through holes at constant feed in $20 \: mm$ thick mild steel plates. In test $1$, a drill lasted $300$ holes at $150$ rpm while in ... maximum number of holes that can be made by another drill from the above batch at $200$ rpm is_________ (correct to two decimal places).

Arjun asked in Casting, Forming and Joining Processes Feb 17, 2018

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GATE2018-2-48
Following data correspond to an orthogonal turning of a $100 \: mm $ diameter rod on a lathe. Rake angle:$+15^{\circ}$; Uncut chip thickness: $0.5 mm$; nominal chip thickness after the cut: $1.25 \: mm$ The shear angle (in degrees) for this process is _________ (correct to two decimal places)

Arjun asked in Casting, Forming and Joining Processes Feb 17, 2018

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GATE2018-2-47
A steel wire is drawn from an initial diameter $(d_i$) of $10 \: mm$ to a final diameter ($d_f$) of the $7.5 \: mm$. The half cone angle ($\alpha$) of the die is $5^{\circ}$ and the coefficient of friction ($\mu$) between the die and the wire ... The drawing stress (in MPa) required to carry out this operation is _____ (correct to two decimal places)

Arjun asked in Casting, Forming and Joining Processes Feb 17, 2018

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GATE2018-2-46
The true stress (in MPa) versus true strain relationship for a metal is given by $\sigma=1020 \varepsilon^{0.4}$. The cross sectional-area at the start of the test (when the stress and strain values are equal to zero) is $100 \: mm^2$. The cross-sectional area at the time of necking ( in $mm^2$) is ______________ correct to two decimal palces.

Arjun asked in Mechanics of Materials Feb 17, 2018

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GATE2018-2-45
A test is conducted on a one-fifth scale model of a Francis turbine under a head of $2 \: m$ and volumetric flow rate of $1 \: m^3/s$ at $450 \: rpm$. Take the water density and the acceleration due to gravity as $10^3 \: kg/m^3$ ... prototype turbines. The power (in MW) of a full sized turbine while working under a head of $30 \: m$ is _______ (correct to two decimal places)

Arjun asked in Applications Feb 17, 2018

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GATE2018-2-44
Ambient air is at a pressure of $100 \: kPa$, dry bulb temperature at $30^{\circ} C$ and $60 \%$ relative humidity. The saturation pressure of water at $30^{\circ} C$ id $4.24 \: kPa$. The specific humidity of air (in $g/kg$ of dry air) is _______ (correct to two decimal places).

Arjun asked in Thermodynamics Feb 17, 2018

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GATE2018-2-43
A standard vapor compression refrigeration cycle operating with a condensing temperature of $35^{\circ}C$ and an evaporating temperature of $-10^{\circ}C$ develops $15 \: kW$ of cooling. The $p-h$ diagram shows the enthalpies at various states. If the isentropic ... of the compressor is $0.75$, the magnitude of compressor power (in $kW$) is _________ (correct to two decimal places)

Arjun asked in Thermodynamics Feb 17, 2018

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GATE2018-2-42
Air is held inside a non-insulated cylinder using a piston (mass $M=25 \: kg$ and area $A=100 \: cm^2$) and stoppers (of negligible area), as shown in the figure. The initial pressure $P_i$ and temperature $T_i$ ... of the air inside the cylinder ($^{\circ}C$) at which the piston will begin to move is ______ (correct to two decimal places).

Arjun asked in Applications Feb 17, 2018

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GATE2018-2-41
A $0.2 \:m$ thick infinite black plate having a thermal conductivity of $3.96 \: W/m-K$ is exposed to two infinite black surfaces at $300 \: K$ and $400 \: K$ as shown in the figure. At steady state, the surface temperature of the plate facing the ... $1-D$ heat conduction, the magnitude of the heat flux through the place (in $W/m^2$) is ___________ (correct to two decimal places)

Arjun asked in Heat Transfer Feb 17, 2018

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GATE2018-2-40
A frictionless circular piston of area $10^{-2} \: m^2$ and mass $100 \: kg$ sinks into a cylindrical container of the same area filled with water of density $1000 \: kg/m^3$ ... water to be incompressible, the magnitude of the piston velocity (in $m/s$) at the instant shown is _____ (correct to three decimal places).

Arjun asked in Fluid Mechanics Feb 17, 2018

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GATE2018-2-39
A force of $100 \: N$ applied to the centre of a circular disc, of mass $10 \: kg$ and radius $1 \: m$, resting on a floor as shown in the figure. If the disc rolls without slipping on the floor, the linear acceleration (in $m/s^2$) of the centre of the disc is _______ (correct to two decimal places).

Arjun asked in Engineering Mechanics Feb 17, 2018

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GATE2018-2-35
The problem of maximizing $z=x_1-x_2$ subject to constraints $x_1+x_2 \leq 10, \: x_1 \geq 0, x_2 \geq 0$ and $x_2 \leq 5$ has no solution one solution two solutions more than two solutions

Arjun asked in Numerical Methods Feb 17, 2018

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GATE2018-2-36
Given the ordinary differential equation $\dfrac{d^2y}{dx^2}+\dfrac{dy}{dx}-6y=0$ with $y(0)=0$ and $\dfrac{dy}{dx}(0)=1$, the value of $y(1)$ is __________ (correct to two decimal places).

Arjun asked in Differential Equations Feb 17, 2018

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GATE2018-2-38
A bar is subjected to a combination of a steady load of $60 \: kN$ and a load fluctuating between $-10 \: kN$ and $90 \: kN$. The corrected endurance limit of the bar is $150 \: MPa$, the yield strength of the material is $480 \: MPa$ and the ultimate ... safety is $2$, the value of $a$ (in $mm$), according to the modified Goodman's criterion, is _____ (correct to two decimal places).

Arjun asked in Machine Design Feb 17, 2018

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GATE2018-2-37
A thin-walled cylindrical can with rigid end caps has a mean radius $R=100\:mm$ and a wall thickness of $t=5 \: mm$. The can is pressurized and an additional tensile stress of a $50 \: MPa$ is imposed along the axial direction as shown in ... circumferential components of stress in the can are equal, the pressure (in $MPa$) inside the can is ___________ (correct to two decimal places)

Arjun asked in Mechanics of Materials Feb 17, 2018

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GATE2018-2-34
Air flows at the rate of $1.5 \: m^3/s$ through a horizontal pipe with a gradually reducing cross-section as shown in the figure. The two cross-sections of the pipe have diameters of the $400 \: mm$ and $200 \: mm$. Take the air density as $1.2 \: kg/m^3$ and assume inviscid ... change in pressure $(p_2-p_1)$ (in $kPa$) between sections $1$ and $2$ is $-1.28$ $2.56$ $- 2.13$ $1.28$

Arjun asked in Fluid Mechanics Feb 17, 2018

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GATE2018-2-33
A bimetallic cylindrical bar cross sectional area $1 \: m^2$ is made by bonding Steel (Young's modulus $= 210 \: GPa$) and Aluminium (Young's modulus =$70 \: GPa$) as shown in the figure. To maintain tensile axial strain of magnitude $10^{-6}$ in Steel bar ... $P$ (in $kN$) along the indicated direction is $70$ $140$ $210$ $280$

Arjun asked in Mechanics of Materials Feb 17, 2018

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GATE2018-2-28
For a position vector $\overrightarrow{r} = x \hat{i}+y \hat{j} + z\hat{k}$ the norm of the vector can be defined as $\mid \overrightarrow{r} \mid = \sqrt{x^2+y^2+z^2}$. Given a function $\phi =\text{ln} \mid \overrightarrow{r} \mid$, its ... $\dfrac{\overrightarrow{r}}{\overrightarrow{r} \cdot \overrightarrow{r} } \\ $ $\dfrac{\overrightarrow{r}}{\mid \overrightarrow{r} \mid^3} $

Arjun asked in Calculus Feb 17, 2018

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GATE2018-2-27
Let $X_1$ and $X_2$ be two independent exponentially distributed random variables with means $0.5$ and $0.25$, respectively. Then $Y=\text{min}(X_1, X_2)$ is exponentially distributed with mean $1/6$ exponentially distributed with mean $2$ normally distributed with mean $3/4$ normally distributed with mean $1/6$

Arjun asked in Probability and Statistics Feb 17, 2018

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GATE2018-2-26
Let $z$ be a complex variable. For a counter-clockwise integration around a unit circle $C$, centered at origin, $\oint_C \frac{1}{5z-4} dz=A \pi i$, the value of $A$ is $2/5$ $1/2$ $2$ $4/5$

Arjun asked in Calculus Feb 17, 2018

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GATE2018-2-32
In a cam-follower, the follower rises by $h$ as the cam rotates by $\delta$ (radians) at constant angular velocity $\omega$ (radians/s). The follower is uniformly accelerating during the first half of the rise period and it is uniformly decelerating in the latter half of the rise period ... is $\dfrac{4h \omega}{\delta} \\$ $h \omega \\$ $\dfrac{2h \omega}{\delta} \\$ $2h \omega$

Arjun asked in Theory of Machines Feb 17, 2018

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GATE2018-2-31
A bar of circular cross section is clamped at ends P and Q as shown in the figure. A torsional moment $T=150 \: Nm$ is applied at a distance of $100 \: mm$ from end $P$. The torsional reactions $(T_P, T_Q)$ in $Nm$ at ends $P$ and $Q$ respectively are $(50, 100)$ $(75, 75)$ $(100, 75)$ $(120, 30)$

Arjun asked in Mechanics of Materials Feb 17, 2018

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GATE2018-2-30
A rigid rod of length $1 \: m$ is resting at an angle $\theta =45^{\circ}$ as shown in the figure. The end $P$ is dragged with a velocity of $U=5 \: m/s$ to the right. At the instant shown, the magnitude of the velocity $V$ (in $m/s$) of point $Q$ as it moves along the wall without losing contact is $5$ $6$ $8$ $10$

Arjun asked in Engineering Mechanics Feb 17, 2018

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GATE2018-2-29
In a rigid body in plane motion, the point R is accelerating with respect to point P at $10 \angle 180^{\circ} \: m/s^2$. If the instantaneous acceleration of point $Q$ is zero, the acceleration (in $m/s^2$) of point $R$ is $8 \angle 233^{\circ}$ $10 \angle 225^{\circ}$ $10 \angle 217^{\circ}$ $8 \angle 217^{\circ}$

Arjun asked in Engineering Mechanics Feb 17, 2018

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