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GATE2019-2-GA-4
The product of three integers X, Y and Z is $192$. Z is equal to $4$ and P is equal to the average of X and Y. What is the minimum possible value of P? $6$ $7$ $8$ $9.5$

answered 16 hours ago in General Aptitude by ankitgupta.1729 (430 points)

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1 answer

GATE2019-1-51
The value of the following definite integral is ______ (round off to three decimal places) $\int_1^e (x \: \ln \: x) dx$

answered 23 hours ago in Others by ankitgupta.1729 (430 points)

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GATE2019-1-3
For the equation $\frac{dy}{dx}+7x^2y=0$, if $y(0)=3/7$, then the value of $y(1)$ is $\frac{7}{3}e^{-7/3}$ $\frac{7}{3}e^{-3/7}$ $\frac{3}{7}e^{-7/3}$ $\frac{3}{7}e^{-3/7}$

answered 1 day ago in Others by ankitgupta.1729 (430 points)

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GATE2019-2-3
The differential equation $\frac{dy}{dx}+4y=5$ is valid in the domain $0 \leq x \leq 1$ with $y(0)=2.25$. The solution of the differential equation is $y=e^{-4x}+5$ $y=e^{-4x}+1.25$ $y=e^{4x}+5$ $y=e^{4x}+1.25$

answered 1 day ago in Differential Equations by ankitgupta.1729 (430 points)

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GATE2019-2-4
An analytic function $f(z)$ of complex variable $z=x+iy$ may be written as $f(z)=u(x,y)+iv(x,y)$. Then $u(x,y)$ and $v(x,y)$ ...

answered 1 day ago in Calculus by ankitgupta.1729 (430 points)

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GATE2017-2-28
Consider the matrix $A=\begin{bmatrix} 50 &70 \\ 70 & 80 \end{bmatrix}$ whose eigenvectors corresponding to eigenvalues $\lambda _{1}$ and $\lambda _{2}$ are $x_{1}=\begin{bmatrix} 70 \\ \lambda_{1}-50 \end{bmatrix}$ and $x_{2}=\begin{bmatrix} \lambda _{2}-80\\ 70 \end{bmatrix}$, respectively. The value of $x^{T}_{1} x_{2}$ is _________.

answered 1 day ago in Linear Algebra by ankitgupta.1729 (430 points)

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GATE2017-2-29
If $f(z)=(x^{2}+ay^{2})+i bxy$ is a complex analytic function of $z=x+iy$, where $i=\sqrt{-1}$, then $a=-1, b=-1$ $a=-1, b=2$ $a=1, b= 2$ $a=2, b=2$

answered 1 day ago in Others by ankitgupta.1729 (430 points)

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GATE2019-2-1
In matrix equation $[A] \{X\}=\{R\}$, $[A] = \begin{bmatrix} 4 & 8 & 4 \\ 8 & 16 & -4 \\ 4 & -4 & 15 \end{bmatrix} \{X\} = \begin{Bmatrix} 2 \\ 1 \\ 4 \end{Bmatrix} \text{ and} \{ R \} = \begin{Bmatrix} 32 \\ 16 \\ 64 \end{Bmatrix}$ One of the eigen values of matrix $[A]$ is $4$ $8$ $15$ $16$

answered 1 day ago in Linear Algebra by ankitgupta.1729 (430 points)

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GATE2019-2-GA-10
X is an online media provider. By offering unlimited and exclusive online content at attractive prices for a loyalty membership, X is almost forcing its customers towards its loyalty membership. If its royalty membership continues to grow at its current ... television\ Cable television operators don't subscribe to X's loyalty members The X is cancelling accounts of non-members

answered 6 days ago in General Aptitude by Shalini26 (280 points)

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GATE2019-2-19
If $x$ is the mean of data $3, x, 2$ and $4$, then the mode is _____

answered 6 days ago in Others by Shalini26 (280 points)

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GATE2019-2-GA-8
While teaching a creative writing class in India, I was surprised at receiving stories from the students that were all ser in distant places: in the American West with cowboys and in Manhattan penthouses with clinking ice cubes. This was, till an eminent ... None of the students had written about ice cubes and cowboys Some of the students had written about ice cubes and cowboys

answered 6 days ago in General Aptitude by Shalini26 (280 points)

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1 answer

GATE2019-2-GA-5
Are there enough seats here? There are ____ people here than I expected many most least more

answered 6 days ago in General Aptitude by Shalini26 (280 points)

+1 vote

1 answer

GATE2019-2-GA-1
Once the team of analysis identify the problem, we ____ in a better position to comment on the issue. Which of the following choices CANNOT fill the given blank? will be were to be are going to be might be

answered May 16 in General Aptitude by Satbir (260 points)

+1 vote

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GATE2019-2-GA-7
Two pipes P and Q can fill a tank in $6$ hours and $9$ hours respectively, while a third pipe R can empty the tank in $12$ hours. Initially, P and R are open for $4$ hours, Then P is closed and Q is opened. After $6$ more hours R is closed. The total time taken to fill the tank (in hours) is ____ $13.50$ $14.50$ $15.50$ $16.50$

answered May 15 in General Aptitude by Satbir (260 points)

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GATE2019-2-GA-9
Mola is a digital platform for taxis in a city. It offers three types of rides - Pool, Mini and Prime.The table below presents the number of rides for the past four months. The platform earns one US dollar per ride. What is the percentage share of the revenue contributed by Prime to the total ... $110$ $220$ $180$ $70$ Prime $75$ $180$ $120$ $90$ $16.24$ $23.97$ $25.86$ $38.74$

answered May 15 in General Aptitude by Satbir (260 points)

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GATE2018-1-47
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)

answered Apr 26 in Heat Transfer by GG (180 points)

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GATE2018-2-23
An engine operates on the reversible cycle as shown in the figure. The work output from the engine (in ($kJ/cycle$) is ____ (correct to two decimal places).

answered Apr 26 in Applications by GG (180 points)

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GATE2017-2-GA-7
X bullocks and Y tractors take $8$ days to plough a field. If we have the number of bullocks and double the number of tractors, it takes $5$ days to plough the same field. How many days will it take X bullocks alone to plough the field? $30$ $35$ $40$ $45$

answered Apr 24 in General Aptitude by shubham841 (140 points)

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GATE2019-2-GA-3
If IMHO=JNIP; IDK=JEL; and SO=TP, then IDC=______ JDE JED JDC JCD

answered Mar 19 in General Aptitude by m2n037 (1.5k points)

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GATE2019-2-GA-2
A final examination is the ____ of a series of evaluations that a student has to go through culmination consultation desperation insinuation

answered Mar 19 in General Aptitude by m2n037 (1.5k points)

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GATE2019-2-39
A four bar mechanism is shown in the figure. The link numbers are mentioned near the links. Input link 2 is rotating anticlockwise with a constant angular speed $\omega_2$. Length of different links are: $O_2=O_2A=L,$ $AB=O_4B=\sqrt{2}L$. The magnitude of the angular ... $O_2O_4$ as shown. The ratio $\frac{\omega_4}{\omega_2}$ is _____ (round off to two decimal places).

answered Feb 20 in Theory of Machines by Jamir (140 points)

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GATE2019-1-1
Consider the matrix $P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$ The number of distinct eigenvalues $0$ $1$ $2$ $3$

answered Feb 15 in Linear Algebra by aditya_kr (140 points)

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GATE2019-2-GA-6
Fiscal deficit was $4 \%$ of the GDP in $2015$ and that increased to $5 \%$ in $2016$. If the GDP increased by $10 \%$ from $2015$ to $2016$, the percentage increase in the actual fiscal deficit is ____ $37.50$ $35.70$ $25.00$ $10.00$

asked Feb 9 in General Aptitude by Arjun (21.5k points)

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GATE2019-2-2
The directional derivative of the function $f(x,y)=x^2+y^2$ along a line directed from $(0,0)$ to $(1,1)$, evaluated at the point $x=1, y=1$ is $\sqrt{2}$ $2$ $2 \sqrt{2}$ $2 \sqrt{2}$

asked Feb 9 in Calculus by Arjun (21.5k points)

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GATE2019-2-5
A rigid triangular body, PQR, with sides of equal length of $1$ unit moves on a flat plane. At the instant shown, edge QR is parallel to the $x$-axis, and the body moves such that velocities of points P and R are $V_P$ and $V_R$, in the $x$ and $y$ directions, respectively. The magnitude of the angular velocity of the body is $2V_R$ $2V_P$ $V_R/\sqrt{3}$ $V_P/\sqrt{3}$

asked Feb 9 in Theory of Machines by Arjun (21.5k points)

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GATE2019-2-6
Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of $100$ MPa along the length direction. Assume plane stress conditions in the plane normal to the thickness. The Young's modulus $E=200$ MPa and Poisson's ratio $v=0.3$ are given. The principal strains in the plane ... are $(0.35, - 0.15)$ $(0.5, 0.0)$ $(0.5, - 0.15)$ $(0.5, - 0.5)$

asked Feb 9 in Mechanics of Materials by Arjun (21.5k points)

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GATE2019-2-7
A spur gear has pitch circle diameter $D$ and number of teeth $T$. The circular pitch of the gear is $\frac{\pi D}{T}$ $\frac{T}{D}$ $\frac{D}{T}$ $\frac{2 \pi D}{T}$

asked Feb 9 in Machine Design by Arjun (21.5k points)

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GATE2019-2-8
Endurance limit of a beam subjected to pure bending decreases with decrease in the surface roughness and decrease in the size of the beam increase in the surface roughness and decrease in the size of the beam increase in the surface roughness and increase in the size of the beam decrease in the surface roughness and increase in the size of the beam

asked Feb 9 in Mechanics of Materials by Arjun (21.5k points)

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GATE2019-2-9
A two-dimensional incompressible frictionless flow field is given by $\overrightarrow{u} = x \hat{i} – y \hat{j}$. If $\rho$ is the density pf the fluid, the expression for pressure gradient vector at any point in the flow field is given as $\rho(x \hat{i}+y \hat{j})$ $ – \rho(x \hat{i}+y \hat{j})$ $\rho(x \hat{i} – y \hat{j})$ $ – \rho(x^2 \hat{i}+y^2 \hat{j})$

asked Feb 9 in Fluid Mechanics by Arjun (21.5k points)

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GATE2019-2-10
Sphere $1$ with a diameter of $0.1$ m is completely enclosed by another sphere $2$ of diameter $0.4$m. The view factor $F_{12}$ is $0.0625$ $0.25$ $0.5$ $1.0$

asked Feb 9 in Others by Arjun (21.5k points)

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GATE2019-2-11
One-dimensional steady state heat conduction takes places through a solid whose cross-sectional area varies linearly in the direction of heat transfer. Assume there is no heat generation in the solid and the thermal conductivity of the material is constant and independent of temperature. The temperature distribution in the solid is Linear Quadratic Logarithmic Exponential

asked Feb 9 in Heat Transfer by Arjun (21.5k points)

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GATE2019-2-12
For a simple compressible system, $v, s, p$ and $T$ are specific volume, specific entropy, pressure and temperature, respectively. As per Maxwell's relations, $\big( \frac{\partial v}{\partial s} \big) _p$ $\big( \frac{\partial s}{\partial T} \big) _p$ ... $ - \big( \frac{\partial T}{\partial v} \big) _p$ $\big( \frac{\partial T}{\partial p} \big) _s$

asked Feb 9 in Thermodynamics by Arjun (21.5k points)

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GATE2019-2-13
Which one of the following modifications of the simple ideal Rankine cycle increases the thermal efficiency and reduces the moisture content of the steam at the turbine outlet? Increasing the boiler pressure Decreasing the boiler pressure Increasing the turbine inlet temperature decreasing the condenser pressure

asked Feb 9 in Thermodynamics by Arjun (21.5k points)

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GATE2019-2-14
Hardenability of steel is a measure of the ability ti harden when it is cold worked the maximum hardness that can be obtained when it is austenitized and then quenched the depth to which required hardening is obtained when it is austenitized and then quenched the ability to retain its hardness when it is heated to elevalated temperatures

asked Feb 9 in Engineering Materials by Arjun (21.5k points)

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GATE2019-2-15
The fluidity of molten metal of cast alloys (without any addition of fluxes) increases with increase in viscosity surface tension freezing range degree of superheat

asked Feb 9 in Others by Arjun (21.5k points)

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GATE2019-2-16
The cold forming process in which a hardened tool is pressed against a workpiece (when there is relative motion between the tool and the workpiece) to produce a roughened surface with a regular pattern is Roll forming Strip forming Knurling Chamfering

asked Feb 9 in Others by Arjun (21.5k points)

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GATE2019-2-17
The most common limit gage used for inspecting the hole diameter is Snap gage Ring gage Plus gage Madter gage

asked Feb 9 in Others by Arjun (21.5k points)

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GATE2019-2-18
The transformation matrix for mirroring a point in $x – y$ plane about the line $y=x$ is given by $\begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix}$ $\begin{bmatrix} -1 & 0 \\ 0 & 1 \end{bmatrix}$ $\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$ $\begin{bmatrix} 0 & -1 \\ -1 & 0 \end{bmatrix}$

asked Feb 9 in Others by Arjun (21.5k points)

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GATE2019-2-20
The figure shows an idealized plane truss. If a horizontal force of $300$ N is applied at point A, then the magnitude of the force produced in member CD is ____ N

asked Feb 9 in Others by Arjun (21.5k points)

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GATE2019-2-21
The state of stress at a point in a component is represented by a Mohr’s circle of radius $100$ MPa centered at $200$ MPa on the thermal stress axis. On a plane plassing through the same point, the normal stress is $260$ MPa. The magnitude of the shear stress on the same plane at the same point is _______ MPa

asked Feb 9 in Others by Arjun (21.5k points)

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