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Recent questions tagged gate20182
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GATE20182GA6
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
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Feb 17, 2018
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gate20182
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GATE20182GA7
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 circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters? 1096 1111 1243 2486
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Feb 17, 2018
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Arjun
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21.5k
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gate20182
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GATE20182GA8
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, fiveseventh 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
asked
Feb 17, 2018
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Others
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Arjun
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21.5k
points)
gate20182
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1
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GATE20182GA9
A house has a number which need to be identified. The following three statements are given that can help in identifying the house number? The house number is a multiple of 3, then it is a number from 50 to 59 The house number is NOT a multiple of 4, then it is a ... The house number is NOT a multiple of 6, then it is a number from 70 to 79 What is the house number? 54 65 66 76
asked
Feb 17, 2018
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Arjun
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21.5k
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gate20182
0
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1
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GATE20182GA5
The value of the expression $\frac{1}{1+ \log_u \: vw} + \frac{1}{1+ \log_v \: wu} + \frac{1}{1+\log_w uv}$ is _______ 1 0 1 3
asked
Feb 17, 2018
in
Linear Algebra
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Arjun
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21.5k
points)
gate20182
0
votes
1
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GATE20182GA10
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 HHHT_ _ Which ... of being correct? Two T will occur One H and one T will occur Two H will occur One H wll be followed by one T
asked
Feb 17, 2018
in
Probability and Statistics
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Arjun
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21.5k
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gate20182
0
votes
1
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GATE20182GA1
"The dress ______ her so well that they all immediately _______ her on her appearance." complemented, complemented complimented, complemented complimented, complimented complemented, complimented
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Feb 17, 2018
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Others
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Arjun
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21.5k
points)
gate20182
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GATE20182GA2
" The judge's standing in the legal; community, though shaken by false allegations of wrongdoing. remained ______ ." undiminished damaged illegal uncertain
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Feb 17, 2018
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Others
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Arjun
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21.5k
points)
gate20182
0
votes
1
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GATE20182GA3
Find the missing group of letters in the following series: BC, FCH, LMNO, ______ UVWXY TUVWX STUVW RSTUV
asked
Feb 17, 2018
in
Others
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Arjun
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21.5k
points)
gate20182
0
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1
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GATE20182GA4
The perimeters of a circle. a square and en 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
asked
Feb 17, 2018
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Others
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Arjun
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21.5k
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gate20182
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GATE2018252
A circular hole of $25 \: mm$ diameter and depth of $20 \: mm$ is machined by EDM process. The material removal rate (in $mm^3$) is expressed as $ 4 \times 10^4 \: IT^{1.23}$ where $I=300 \: A $ and the melting point of the material $T=1600^oC$. The time ( in minutes) for machining this hole is _________ (correct to two decimal places)
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Feb 17, 2018
in
Casting, Forming and Joining Processes
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Arjun
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21.5k
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gate20182
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GATE2018253
A welding operation is being performed with voltage = $30 \: V$ and current =$100 \: A$. The crosssectional are of the weld bead is $20 \: mm^2$. The workpiece 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).
asked
Feb 17, 2018
in
Casting, Forming and Joining Processes
by
Arjun
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21.5k
points)
gate20182
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GATE2018254
Steam in the condenser of a thermal power plant is to be condensed at a temperature of $30^oC$ with cooling water which enters the tubes of the condenser at $14^oC$ and exists at $22^oC$. The total surface area of the tubes is $50 \: m^2$, and the overall heat ... is $2000 \: W/m^2 \: K$. The heat transfer (in $MW$) to the condenser is _____ (correct to two decimal places).
asked
Feb 17, 2018
in
Heat Transfer
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Arjun
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21.5k
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gate20182
0
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0
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GATE2018255
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.
asked
Feb 17, 2018
in
Applications
by
Arjun
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21.5k
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gate20182
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GATE2018246
The true stress (in MPa) versus true strain relationship for a metal is given by $\sigma=1020 \varepsilon^{0.4}$. The cross sectionalarea at the start of the test (when the stress and strain values are equal to zero) is $100 \: mm^2$. The crosssectional area at the time of necking ( in $mm^2$) is _____ correct to two decimal palces.
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20182
0
votes
0
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GATE2018245
A test is conducted on a onefifth 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 $10^3 \: kg/m^3$ ... turbines. The power (in$MW$) of a full sized turbine while working under a head of $30 ]: m$ is _______ (correct to two decimal places)
asked
Feb 17, 2018
in
Applications
by
Arjun
(
21.5k
points)
gate20182
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0
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GATE2018247
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 $5^o$ and teh coefficient of friction ($\mu$ ... $MPa$) required to carry out this operation is _____ (correct to two decimal places)
asked
Feb 17, 2018
in
Casting, Forming and Joining Processes
by
Arjun
(
21.5k
points)
gate20182
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votes
0
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GATE2018248
Following data correspond to an orthogonal turning of a $100 \: mm $ diameter rod on a lathe. Rake angle:$+15^o$; 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)
asked
Feb 17, 2018
in
Casting, Forming and Joining Processes
by
Arjun
(
21.5k
points)
gate20182
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votes
0
answers
GATE2018249
Taylor's tool life equation is used to estimate the life of a patch 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 test 2, ... The maximum number of holes that can be made by another drill from the above batch at 200 rpm is_________ (correct to two decimal places).
asked
Feb 17, 2018
in
Casting, Forming and Joining Processes
by
Arjun
(
21.5k
points)
gate20182
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votes
0
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GATE2018250
For sandcasting 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 minutes. ... a solidification time for 3 minutes in the riser, the diameter (in $mm$) of the riser is ________ (correct to two decimal places)
asked
Feb 17, 2018
in
Casting, Forming and Joining Processes
by
Arjun
(
21.5k
points)
gate20182
+1
vote
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GATE2018251
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 ____
asked
Feb 17, 2018
in
Operations Research
by
Arjun
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21.5k
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gate20182
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votes
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GATE2018239
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 teh disc rolls without slipping on the floor, the linear acceleration (in $m/s^2$) of teh centre of teh disc is _______ (correct to two decimal places).
asked
Feb 17, 2018
in
Engineering Mechanics
by
Arjun
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21.5k
points)
gate20182
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votes
0
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GATE2018240
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).
asked
Feb 17, 2018
in
Fluid Mechanics
by
Arjun
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21.5k
points)
gate20182
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votes
0
answers
GATE2018241
A $0.2 \:m$ thick infinite black plate having a thermal conductivity of $3.96 \: W/mK$ 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 teh plate facing the ... $1D$ heat conduction, the magnitude of the heat flux through the place (in $W/m^2$) is ______ (correct to two decimal places)
asked
Feb 17, 2018
in
Heat Transfer
by
Arjun
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21.5k
points)
gate20182
0
votes
0
answers
GATE2018242
Air is held inside a noninsulated 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 $Pi$ and temperature $T_i$ ... The temperature of the air inside the cylinder ($^oC$) at which the piston will begin to move is ______ (correct to two decimal places).
asked
Feb 17, 2018
in
Applications
by
Arjun
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21.5k
points)
gate20182
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votes
0
answers
GATE2018243
A standard vapor compression refrigeration cycle operating with a condensing temperature of $35^oC$ and an evaporating temperature of $10^oC$ develops $15 \: kW$ of cooling. The $ph$ diagram shows teh enthalpies at various states. If the isentropic efficiency of the compressor is $0.75$, the magnitude of compressor power (in $kW$) is _________ (correct to two decimal places)
asked
Feb 17, 2018
in
Thermodynamics
by
Arjun
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21.5k
points)
gate20182
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votes
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answers
GATE2018244
Ambient air is at a pressure of $100 \: kPa$, dry bulb temperature at $30^o C$ and $60%$ relative humidity. The saturation pressure of water at $30^o C$ id $4.24 \: kPa$. The specific humidity of air (in $g/kg$ of dry air) is _______ (correct to two decimal places).
asked
Feb 17, 2018
in
Thermodynamics
by
Arjun
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21.5k
points)
gate20182
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votes
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answers
GATE2018233
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 ... $10^{6}$ in Aluminium bar, the magnitude of the required force $P$ (in $kN$) along the indicated direction is 70 140 210 280
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
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21.5k
points)
gate20182
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votes
0
answers
GATE2018234
Air flows at the rate of $1.5 \: m^3/s$ through a horizontal pipe with a gradually reducing crosssections as shown in the figure. The two crosssections of the pipe have diameters of the $400 \: mm$ and $200 \: mm$. Take the air density as $1.2 \: kg/m^3$ and assume ... flow. The change in pressure $(p_2p_1)$ (in $kPa$) between sections 1 and 2 is $1.28$ $2.56$ $2.13$ $1.28$
asked
Feb 17, 2018
in
Fluid Mechanics
by
Arjun
(
21.5k
points)
gate20182
0
votes
0
answers
GATE2018235
The problem of maximizing $z=x_1x_2$ 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
asked
Feb 17, 2018
in
Numerical Methods
by
Arjun
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21.5k
points)
gate20182
0
votes
0
answers
GATE2018236
Given the ordinary differential equation $\frac{d^2y}{dx^2}+\frac{dy}{dx}6y=0$ with $y(0)=0$ and $\frac{dy}{dx}(0)=1$, the value of $y(1)$ is _____ (correct to two decimal places).
asked
Feb 17, 2018
in
Differential Equations
by
Arjun
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21.5k
points)
gate20182
0
votes
0
answers
GATE2018237
A thinwalled 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)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20182
0
votes
0
answers
GATE2018238
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 ... of safety is 2, the value of $a$ (in $mm$), according to the modified Goodman's criterion, is _____ (correct to two decimal places).
asked
Feb 17, 2018
in
Machine Design
by
Arjun
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21.5k
points)
gate20182
0
votes
0
answers
GATE2018232
In a camfollower, 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 aht latter half of the ... velocity of the follower is $\frac{4h \omega}{\delta}$ $h \omega$ $\frac{2h \omega}{\delta}$ $2h \omega$
asked
Feb 17, 2018
in
Theory of Machines
by
Arjun
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21.5k
points)
gate20182
0
votes
0
answers
GATE2018231
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 $(50, 100)$ $(75, 75)$ $(100, 75)$ $(120, 30)$
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20182
0
votes
1
answer
GATE2018227
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
asked
Feb 17, 2018
in
Probability and Statistics
by
Arjun
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21.5k
points)
gate20182
0
votes
0
answers
GATE2018228
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 $\phi =\text{ln} \mid \overrightarrow{r} \mid$, ... $\frac{\overrightarrow{r}}{\overrightarrow{r} \bullet \overrightarrow{r} } $ $\frac{\overrightarrow{r}}{\mid \overrightarrow{r} \mid^3} $
asked
Feb 17, 2018
in
Calculus
by
Arjun
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21.5k
points)
gate20182
0
votes
0
answers
GATE2018226
Let $z$ be a complex variable. FOr a counterclockwise integration around a unit circle $C$, centered at origin, $\oint \frac{1}{5z4} dz=A \pi i$, the value of $A$is 2/5 1/2 2 4/5
asked
Feb 17, 2018
in
Numerical Methods
by
Arjun
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21.5k
points)
gate20182
0
votes
0
answers
GATE2018229
In a rigid body in plane motion, the point R is accelerating with respect to point P at $10 \angle 180^o \: m/s^2$. If the instantaneous acceleration of point $Q$ is zero, the acceleration (in $m/s^2$) of point $R$ is $8 \angle 233^o$ $10 \angle 225^o$ $10 \angle 217^o$ $8 \angle 217^o$
asked
Feb 17, 2018
in
Engineering Mechanics
by
Arjun
(
21.5k
points)
gate20182
0
votes
0
answers
GATE2018230
A rigid of length $1 \: m$ is resting at an angle $\theta =45^o$ 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
asked
Feb 17, 2018
in
Engineering Mechanics
by
Arjun
(
21.5k
points)
gate20182
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