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Recent questions tagged gate20181
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GATE20181GA10
Consider the following three statements: Some roses are red All red flowers fade quickly some roses fade quickly Which of the following statements can be logically inferred from the above statements? If (i) is true and (ii) is false, then (iii) is false If (i) is true and (ii) is ... true If (i) and (ii) are true, then (iii) is true If (i) and (ii) are false, then (iii) is false
asked
Feb 17, 2018
in
Others
by
Arjun
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21.5k
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gate20181
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GATE20181GA9
Which of the following functions describe the graph shown in the below figure? $y=\mid \mid x \mid + 1 \mid 2$ $y=\mid \mid x \mid  1 \mid 1$ $y=\mid \mid x \mid + 1 \mid 1$ $y=\mid \mid x \mid  1 \mid 1$
asked
Feb 17, 2018
in
Calculus
by
Arjun
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21.5k
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gate20181
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GATE20181GA3
Seven machines take 7 minutes to make 7 idetical toys. At the same rate, how many minutes would it take for 100 machine to make 100 toys? 1 7 100 700
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Feb 17, 2018
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Others
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Arjun
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21.5k
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gate20181
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GATE20181GA4
A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m respectively. During this process, the rectangle loses 650 m$^2$ of area. What is the area of the original rectangle in square meters? 1125 2250 2924 4500
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Feb 17, 2018
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Others
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Arjun
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21.5k
points)
gate20181
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GATE20181GA5
A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number? 63 72 81 90
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Feb 17, 2018
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Others
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Arjun
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21.5k
points)
gate20181
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GATE20181GA7
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct? $a$ and $b$ are both odd $a$ and $b$ are both even $a$ is even and $b$ is odd $a$ is odd and $b$ is even
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Feb 17, 2018
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Others
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Arjun
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21.5k
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gate20181
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GATE20181GA8
From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same ... the length of the train and that of the platform in meters, respectively? 210 and 140 162.5 and 187.5 245 and 130 175 and 200
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Feb 17, 2018
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Others
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Arjun
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21.5k
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gate20181
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GATE20181GA6
For integers, $a$, $b$ and $c$, what would be the minimum and maximum values respectively of $a+b+c$ if $\log \mid a \mid + \log \mid b \mid + \log \mid c \mid =0$? 3 and 3 1 and 1 1 and 3 1 and 3
asked
Feb 17, 2018
in
Calculus
by
Arjun
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21.5k
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gate20181
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GATE20181GA1
"Going by the _____ that many hands make light work, the school ____ involved all the students in the task." principle, principal principal, principle principle, principle principal, principal
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Feb 17, 2018
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Others
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Arjun
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21.5k
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gate20181
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GATE20181GA2
"Her _____ should not be confused with miserliness; she is ever willing to assist those in need." The word that best fills the blank in the above sentence is cleanliness punctuality frugality greatness
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Feb 17, 2018
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Others
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Arjun
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21.5k
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gate20181
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GATE2018152
Processing times (including setup times) and due dates for six jobs waiting to be processed at a work centre are given in the table. The average tardiness (in days) using shortest processing time rule is ______ (correct to two decimal places). Job Processing time (days) Due date (days) A 3 8 B 7 16 C 4 4 D 9 18 E 5 17 F 13 19
asked
Feb 17, 2018
in
Inventory Control
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Arjun
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21.5k
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gate20181
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GATE2018153
The schematic of an external drum rotating clockwise engaging with a short shoe is shown in the figure. The shoe is mounted at point Y on a rigid lever XYZ hinged at point X. A force F=100 N is applied at the free end of the lever as shown. Given that the ... between the shoe and the drum is 0.3, the braking torque in (Nm) applied on the drum is _____ (correct to two decimal places)
asked
Feb 17, 2018
in
Machine Design
by
Arjun
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21.5k
points)
gate20181
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GATE2018154
Block P of mass 2 kg slides down the surface and has a speed 20 m/s at the lowest point, Q, where the local radius of curvature is 2m as shown in the figure. Assuming $g=10 \: m/s^2$, the normal force (in N) at Q is ____ correct to two decimal places.
asked
Feb 17, 2018
in
Engineering Mechanics
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Arjun
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21.5k
points)
gate20181
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GATE2018155
An electrochemical machining (ECM) is to be used to cut a through hole into a 12 mm thick aluminum plate. The hole has a rectangular crosssection. $10 \: mm \times 30 \:mm$. The ECM operation will be accomplished in 2 minutes, with efficiency of 90%. Assuming specific removal rate ... , the current (in A) required is _____ (correct to two decimal places).
asked
Feb 17, 2018
in
Computer Integrated Manufacturing
by
Arjun
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21.5k
points)
gate20181
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GATE2018145
Steam flows through a nozzle at a mess flow rate of $m=0.1 \: kg/s$ with a heat loss of $5 \: kW$. THe enthalpies at inlet and exit are $2500 \: kJ/kg$ and $2350 \: kJ/kg$, respectively. Assuming negligible velocity in inlet ($C_1 \approx 0$), the velocity ($C_2$) of steam (in $m/s$) at the nozzle exit is _____ (correct to two decimal places).
asked
Feb 17, 2018
in
Applications
by
Arjun
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21.5k
points)
gate20181
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votes
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GATE2018146
An engine working on air standard Otto cycle is supplied with air at $0.1 MPa$ and $35^o \: C$. The compression ratio is 8. The heat supplied is $500 \: kJ/kg \: K$. The maximum temperature (in $K$) of the cycle is _______ (correct to one decimal place)
asked
Feb 17, 2018
in
Applications
by
Arjun
(
21.5k
points)
gate20181
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GATE2018147
A plan slab of thickness $L$ and thermal conductivity $k$ is heated heated with a fluid on one side $(P)$, and the other side (Q) is maintained at a constant temperature, $T_Q$ of $25^oC$, as shown in the figure, the fluid is at $45^oC$ and the ... 2K$. The steady state temperature, $T_P$ (in $^oC) of the side which is exposed to the fluid is _____ (correct to two decimal places)
asked
Feb 17, 2018
in
Heat Transfer
by
Arjun
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21.5k
points)
gate20181
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votes
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GATE2018148
The true stress $(\sigma)$  true strain $(\varepsilon)$ diagram of a strain hardening material is shown in figure. First, there is loading up to point A, i.e., up to stress of 500 MPa and strain of 0.5. Then from point A, there is unloading up ... MPa. Given that the Young's modulus E=200 GPa, te natural strain at point B$(\varepsilon_B)$ is _____ (correct to three decimal places)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
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21.5k
points)
gate20181
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votes
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GATE2018149
An orthogonal cutting operation is being carried out in which uncut thickness is 0.010 mm, cutting speed is 130 m/min, rake angle is 15$^o$ and width of cut is 6mm. It is observed that the chip thickness is 0.015 mm, the cutting force is 60 N and the thrust force is 25 N. The ratio of friction energy to total energy 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)
gate20181
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votes
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GATE2018150
A bar is compressed to half to its original length. The magnitude of true strain produced in the deformed bar is _____ (correct to two decimal places)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
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21.5k
points)
gate20181
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votes
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answers
GATE2018151
The minimum value of $3x+5y$ such that $3x+5y \leq 15$ $4x+9y \leq 18$ $13x+2y \leq 2$ $x \geq 0, \: y \geq 0$ is ______
asked
Feb 17, 2018
in
Numerical Methods
by
Arjun
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21.5k
points)
gate20181
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votes
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answers
GATE2018139
A simply supported beam of width 10 mm, height 200 mm and length 4 m is carrying a uniformly distributed load of intensity 10 kN/m. The maximum bending stress (in MPa) in the beam is _____ (correct to one decimal place)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.5k
points)
gate20181
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votes
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answers
GATE2018140
A machine of mass $m=200 \: kg$ is supported on two mounts, each of stiffness $k=10 \: kN/m$. The machine is subjected to an external force (in $N$) $f(t) = 50 \cos 5t$. Assuming only vertical translatory motion, the magnitude of the dynamic force (in N) transmitted from each mount to the ground is _____ (correct to two decimal places).
asked
Feb 17, 2018
in
Vibrations
by
Arjun
(
21.5k
points)
gate20181
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votes
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GATE2018141
A slider crank mechanism is shown in the figure. At some instant, the crank angle is 45$^o$ and force of 40 N is acting towards the left on the slider. The length of the crank is 30 mm and the connecting rod is 70 mm. Ignoring the effect ... forces, the magnitude of the crankshaft torque (in Nm) needed to keep the mechanism in equilibrium is ______ (correct to two decimal places)
asked
Feb 17, 2018
in
Theory of Machines
by
Arjun
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21.5k
points)
gate20181
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votes
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answers
GATE2018142
A sprinkler shown in the figure rotates about its hinge point in a horizontal plane due to water flow discharged through its two exit nozzles. The total flow rate Q through the sprinkler is 1 litre/sec and the crosssectional area of each exit nozzle is ... hinge, the steady state sngular speed of rotation (in rad/s) of the sprinkler is ______ (correct to two decimal places)
asked
Feb 17, 2018
in
Fluid Mechanics
by
Arjun
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21.5k
points)
gate20181
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votes
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answers
GATE2018143
A solid block of $2.0 \: kg$ mass slides steadily at a velocity $V$ along a vertical wall as shown in the figure below. A thin oil film of thickness $h=0.15 \: mm$ provides lubrication between the block and the wall. The surface area of the face of the block ... $V$ (in $m/s$) of the block is ______ (correct to one decimal place)
asked
Feb 17, 2018
in
Fluid Mechanics
by
Arjun
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21.5k
points)
gate20181
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votes
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answers
GATE2018144
A tank of volume $0.05 \: m^3$ contains a mixture of saturated water amd saturated steam at $200 ^oC$. The mass of the liquid present is $8 \: kg$. The entropy (in $in kJ/kg \: K$ ...
asked
Feb 17, 2018
in
Thermodynamics
by
Arjun
(
21.5k
points)
gate20181
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votes
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answers
GATE2018132
A selfaligning ball bearing has a basic dynamic load rating $(C_{10}$, for $10^6$ revolutions) of 35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in $10^6$ revolutions) is below 0.5 0.5 to 0.8 0.8 to 1.0 above 1.0
asked
Feb 17, 2018
in
Machine Design
by
Arjun
(
21.5k
points)
gate20181
0
votes
0
answers
GATE2018137
An explicit forward Euler method is used to numerically integrate the differential equation $\frac{dy}{dx} = y$ using a time step of 0.1. With the initial condition $y(0)=1$, the value of $y(1)$ computed by this method is ________ (correct to two decimal places)
asked
Feb 17, 2018
in
Others
by
Arjun
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21.5k
points)
gate20181
0
votes
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answers
GATE2018138
$F(s)$ is the Laplace transform of the function $f(t) =2t^2 e^{t}$. F(1) is ____ (correct to two decimal places).
asked
Feb 17, 2018
in
Others
by
Arjun
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21.5k
points)
gate20181
0
votes
0
answers
GATE2018134
IN a Lagrangian system, the position of a fluid particle in a flow is described as $x=x_0e^{kt}$ and $y=y_oe^{kt}$ where $t$ is the time while $x_o, \: y_o$, and $k$ are constants. The flow is unsteady and onedimensional steady and twodimensional steady and onedimensional unsteady and twodimensional
asked
Feb 17, 2018
in
Fluid Mechanics
by
Arjun
(
21.5k
points)
gate20181
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votes
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answers
GATE2018135
The maximum reduction in crosssectional area per pass ($R$) of a cold wire drawing process is $R=1e^{(n+1)}$, where $n$ represents the strain hardening coefficient. FOr the case of a perfectly plastic material, $R$ is 0.865 0.826 0.777 0.632
asked
Feb 17, 2018
in
Casting, Forming and Joining Processes
by
Arjun
(
21.5k
points)
gate20181
0
votes
0
answers
GATE2018133
A tank open at the top with a water level of 1 m, as shown in the figure, has a hole at a height of 0.5 m. A free jet leaves horizontally from the smooth hole. The distance X (in m) where the jet strikes the floor is 0.5 1.0 2.0 4.0
asked
Feb 17, 2018
in
Fluid Mechanics
by
Arjun
(
21.5k
points)
gate20181
0
votes
0
answers
GATE2018136
The percentage scrap in a sheet metal blanking operation of a continuous strip of sheet metal as shown in the figure is _______ (correct to two decimal places)
asked
Feb 17, 2018
in
Casting, Forming and Joining Processes
by
Arjun
(
21.5k
points)
gate20181
0
votes
0
answers
GATE2018125
The height (in mm) for a 125 mm sine bar to measure a taper of $27^o \: 32'$ on a flat work piece is _____ (correct to three decimal palces).
asked
Feb 17, 2018
in
Others
by
Arjun
(
21.5k
points)
gate20181
0
votes
0
answers
GATE2018127
The value of the integral over the closed surface $S$ bounding a volume $V$, where $\overrightarrow{r} = x \hat{i} + y \hat{j}+x \hat{k}$ is the position vector and $\overrightarrow{n}$ is the normal to the surface $S$, is $V$ $2V$ $3V$ $4V$
asked
Feb 17, 2018
in
Others
by
Arjun
(
21.5k
points)
gate20181
0
votes
0
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GATE2018126
Let $X_1, \: X_2$ be two independent normal random variables with means $\mu_1, \: \ \mu_2$ and standard deviations $\sigma_1, \: \sigma_2$, respectively. Consider $Y=X_1X_2; \: \mu_1 = \mu_2 =1, \: \sigma_1=1, \: \sigma_2=2$. Then, $Y$ is ... and variance 5 $Y$ has mean 0 and variance 5, but is NOT normally distributed $Y$ has mean 0 and variance 1, but is NOT normally distributed
asked
Feb 17, 2018
in
Others
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Arjun
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21.5k
points)
gate20181
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0
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GATE2018128
A point mass is shot vertically up from ground level with a velocity of 4 m/s at time, $t=0$. It loses 20% of its impact velocity after each collision with the ground. Assuming that the acceleration due to gravity is $10 \: m/s^2$ and that air resistance is negligible, the mass stops bouncing and comes to complete rest on the ground after a total time (in seconds) of 1 2 4 $\infty$
asked
Feb 17, 2018
in
Others
by
Arjun
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21.5k
points)
gate20181
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0
answers
GATE2018130
An epicyclic gear train is shown in the figure below. The number of teeth on the gears A, B and D are 20, 30 and 20, respectively. Gear C has 80 teeth on the inner surface and 100 teeth on the outer surface. If the carrier arm AB is fixed and the sun gear A rotates at 300 rpm in the clockwise direction, then the rpm of D in the clockwise direction is 240 240 375 375
asked
Feb 17, 2018
in
Others
by
Arjun
(
21.5k
points)
gate20181
0
votes
0
answers
GATE2018131
A carpenter glues a pair of cylindrical wooden logs by bon ding their end faces at an angle of $\theta = 30^o$ as shown in the figure. The glue used at the interface fails is Criterion 1: the maximum normal stress exceeds 2.5 MPa Criterion 2: ... , the interface fails only because of criterion 1 fails only because of criterion 2 fails because of both criterion 1 and 2 does not fail
asked
Feb 17, 2018
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Others
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Arjun
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21.5k
points)
gate20181
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