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Recent questions tagged gate20191
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GATE20191GA1
John Thomas, an _____ writer, passed away in 2018. imminent prominent eminent dominant
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Feb 9
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gate20191
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GATE20191GA2
________ I permitted him to leave, I wouldn’t have had any problem with him being absent, ______ I? Had, wouldn’t Have, would Had, would Have, wouldn’t
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gate20191
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GATE20191GA3
A worker noticed that the hour hand on the factory clock had moved by $225$ degrees during her stay at the factory. For how long did she stay in the factory? $3.75$ hours $4$ hours and $15$ mins $8.5$ hours $7.5$ hours
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Feb 9
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gate20191
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GATE20191GA4
The sum and product of two integers are $26$ and $165$ respectively. The difference between these two integers is ______ $2$ $3$ $4$ $6$
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Feb 9
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gate20191
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GATE20191GA5
The minister avoided any mention of the issue of women’s reservation in the private sector. He was accused of ______ the issue. collaring skirting tying belting
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gate20191
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GATE20191GA6
Under a certain legal system, prisoners are allowed to make one statement. If their statements turns out to be true then they are hanged. If the statements turns to be false then they are shot. One prisoner made a statement and the judge had no option ... the following could be that statement? I did not commit the crime I committed the crime I will be shot You committed the crime
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gate20191
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GATE20191GA7
A person divided an amount of Rs. $100,000$ into two parts and invested in two different schemes. In one he got $10 \%$ profit and in the other he got $12 \%$. If he got profit percentages are interchanged with these investments he would have got Rs. $120$ less. Find the ratio between his investments in the two schemes. $9:16$ $11:14$ $37:63$ $47:53$
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Feb 9
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gate20191
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GATE20191GA8
Congo was named by Europeans, Congo's dictator Mobuto later changed the name of the county and the river to Zaire with the objective of Africanising names of persons and spaces. However, the name Zaire was a Portuguese alteration of Nzadi O Nzere, ... Africanise names was prevented by the Portuguese As a dictator Mobuto ordered the Portuguese to alter the name of the river to Zaire
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gate20191
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GATE20191GA9
A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at these skills levels of total employment in $2010$ is given in the pie chart as shown. There were a total of $600$ employees in $2010$ and the total employment increased by $15\%$ ... $2010$ to $2016$, how many employees were there at skill level T in $2016$? $30$ $35$ $60$ $72$
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Feb 9
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gate20191
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GATE20191GA10
M and N had four children P, Q, R and S. Of them, only P and R were married. They had children X and Y respectively. If Y is a legitimate child of W, which of the following statements is necessarily FALSE? M is the grandmother of Y R is the father of Y W is the wife of R W is the wife of P
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gate20191
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GATE201911
Consider the matrix $P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$ The number of distinct eigenvalues $0$ $1$ $2$ $3$
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Feb 9
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gate20191
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GATE201912
A parabola $x=y^2$ with $0 \leq x \leq 1$ is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by $360^{\circ}$ around xaxis is $\frac{\pi}{4}$ $\frac{\pi}{2}$ ${\pi}$ $2 \pi$
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gate20191
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GATE201913
For the equation $\frac{dy}{dx}+7x^2y=0$, if $y(0)=3/7$, then the value of $y(1)$ is $\frac{7}{3}e^{7/3}$ $\frac{7}{3}e^{3/7}$ $\frac{3}{7}e^{7/3}$ $\frac{3}{7}e^{3/7}$
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gate20191
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GATE201914
The lengths of a large stock of titanium rods follow a normal distribution with a mean $(\mu)$ of $440$ mm and a standard deviation $(\sigma)$ of $1$ mm.What is the percentage of rods whose lengths lie between $438$ mm and $441$ mm? $81.85 \%$ $68.4 \%$ $99.75 \%$ $86.64 \%$
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Feb 9
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21.5k
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gate20191
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GATE201915
A flatfaced follower is driven using a circular eccentric cam rotating at a constant angular velocity $\omega$. At time $t=0$, the vertical position of the follower is $y(0)=0$, and the system is in the configuration shown below: The vertical position of the follower face, $(y(t)$ is given by $e \sin \omega t$ $e(1+ \cos 2 \omega t)$ $e(1 \cos \omega t)$ $e \sin 2 \omega t$
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Feb 9
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21.5k
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gate20191
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GATE201916
The natural frequencies corresponding tot he springmass systems $I$ and $II$ are $\omega_1$ and $\omega_{II}$, respectively. Tha ratio $\frac{\omega_I}{\omega_{II}}$ is $\frac{1}{4}$ $\frac{1}{2}$ $2$ $4$
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Feb 9
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21.5k
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gate20191
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GATE201917
A spur gear with $20^{\circ}$ full depth teeth is transmitting $20 \: kW$ at $200 \: rad/s$. The pitch circle diameter of the gear is $100 \: mm$. The magnitude of the force applied on the gear in the radial direction is $0.36 \: kN$ $0.36 \: kN$ $1.39 \: kN$ $2.78 \: kN$
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Feb 9
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21.5k
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gate20191
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GATE201918
During a nonflow thermodynamic process $(12)$ executed by a perfect gas, the heat interaction is equal to the work interaction $(Q_{12} = W_{12})$ when the process is Isentropic Polytropic Isothermal Adiabatic
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Feb 9
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21.5k
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gate20191
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GATE201919
For a hydrodynamically and thermally fully developed laminar flow through a circular pipe of constant crosssection, the Nusselt number at constant wall heat flux $(Nu_q)$ and that at constant wall temperature $(Nu_T)$ are related as $Nu_q > Nu_r$ $Nu_q < Nu_r$ $Nu_q = Nu_r$ $Nu_q = (Nu_r)^2$
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Feb 9
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21.5k
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gate20191
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GATE2019110
As per common design practice, the three types of hydraulic turbines, in descending order of flow rate, are Kaplan, Francis, Pelton Pelton, Francis, Kaplan Francis, Kaplan, Pelton Pelton, Kaplan, Francis
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Feb 9
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21.5k
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gate20191
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GATE2019111
A slender rod of length $L$, diameter $d$ $(L d)$ and thermal conductivity $k_1$ is joined with another rod of identical dimensions, but of thermal conductivity $k_2$, to form a composite cylinderical rod of length $2L$. The heat transfer in radial direction and ... conductivity of the composite rod is $k_1+k_2$ $\sqrt{k_1k_2}$ $\frac{k_1k_2}{k_1+k_2}$ $\frac{2k_1k_2}{k_1+k_2}$
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Feb 9
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21.5k
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gate20191
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GATE2019112
Consider an ideal vapor compression refrigeration cycle. If the throttling process is replaced by an isentropic expansion process, keeping all the other processes unchanged, which one of the following statements is true for the modified cycle? Coefficient of ... of performance is same as that of the original cycle Refrigerating effect is lower than that of the original cycle
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gate20191
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GATE2019113
In a casting process, a vertical channel through which molten metal flows downward from pouring basin to runner for reaching the mold cavity is called blister sprue riser pin hole
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Feb 9
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21.5k
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gate20191
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GATE2019114
Which one of the following welding methods provides the highest heat flux $(W/mm^2)$? Oxyacetylene gas welding Tungsten inert gas welding Plasma arc welding Laser beam welding
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Feb 9
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21.5k
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gate20191
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GATE2019115
The length, width and thickness of a steel sample are $400$ mm, $40$ mm and $20$ mm, respectively. Its thickness needs to be uniformly reduced by $2$ mm in a single pass by using horizontal slab milling. The milling cutter (diameter: $100$ mm, width: $50$ mm) has $20$ ... machining task are $14$ mm, $18.4$ s $21$ mm, $28.9$ s $21$ mm, $39.4$ s $14$ mm, $21.4$ s
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Feb 9
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21.5k
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gate20191
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GATE2019116
The position vector $\overrightarrow{OP}$ of point $P(20,10)$ is rotated anticlockwise in XY plane by an angle $\theta = 30^{\circ}$ such that point P occupies position Q, as shown in the figure. The coordinates (x,y) of Q are $(13.40,22.32)$ $(22.32, 8.26)$ $(12.32, 18.66)$ $(18.66, 12.32)$
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Feb 9
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21.5k
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gate20191
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GATE2019117
The table presents the demand of a product. By simple threemonths moving average method, the demandforecast of the product for the month of September is ... $490$ $510$ $530$ $536.67$
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Feb 9
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gate20191
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GATE2019118
Evaluation of $\int_2^4 x^3 dx$ using a $2$equalsegment trapezoidal rule gives a value of _______
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Feb 9
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21.5k
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gate20191
numericalanswers
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GATE2019119
A block of mass $10$ kg rests on a horizontal floor. The acceleration due to gravity is $9.81 \: m/s^2$. The coefficient of static friction between the floor and the block is $0.2$. A horizontal force of $10$ N is applied on the block as shown in the figure. The magnitude of force of friction (in N) on the block is _____
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Feb 9
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Arjun
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21.5k
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gate20191
numericalanswers
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GATE2019120
A cylindrical rod of diameter $10$ mm and length $0.1$m fixed at one end. The other end is twisted by an angle of $10^{\circ}$ by applying a torque. If the maximum shear strain in the rod is $p \times 10^{3}$, then $p$ is equal to ____ (round off to two decimal places).
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Feb 9
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Arjun
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21.5k
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gate20191
numericalanswers
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GATE2019121
A solid cube of side $1$ m is kept at a room temperature of $32^{\circ} C$. The coefficient of linear thermal expansion of the cube material is $1 \times 10^{5} / ^{\circ}C$ and the bulk modulus is $200$ GPa. If the cube is constrained all around and heated uniformly to $42^{\circ}C$, then the magnitude of volumetric (mean) stress (in MPa) included due to heating is _______
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Feb 9
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Arjun
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21.5k
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gate20191
numericalanswers
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GATE2019122
During a high cycle fatigue test, a metallic specimen is subjected to cyclic loading with a mean stress of $+140$ MPa, and a minimum stress of $70$ MPa. The $R$ration (minimum stress to maximum stress) for this cyclic loading is _____ (round off to one decimal place)
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Feb 9
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Arjun
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21.5k
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gate20191
numericalanswers
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GATE2019123
Water flows through a pipe with a velocity given by $\overrightarrow{V}= \big( \frac{4}{t}+x+y \big) \hat{j} \: m/s$, where $\hat{j}$ is teh unit vector in the $y$ direction, $t(>0)$ is in seconds, and $x$ and $y$ are in meters. The magnitude of total acceleration at the point $(x,y)=(1,1)$ at $t=2\: s$ is ______$m/s^2$
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Feb 9
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21.5k
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gate20191
numericalanswers
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GATE2019124
Air of mass $1$ kg, initially at $300$ K and $10$ bar, is allowed to expand isothermally till it reaches a pressure of $1$ bar. Assuming air as an ideal gas with gas constant of $0.287 \: kJ/kg.K$, the change in entropy of air (in $kJ/kg.K$, round off to two decimal places) is ______
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Feb 9
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Arjun
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21.5k
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gate20191
numericalanswers
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GATE2019125
Consider the stressstrain curve for an ideal elasticplastic strain hardening metal as shown in the figure. The metal was loaded in uniaxial tension starting from $O$. Upon loading, the stressstrain curve passes through initial yield point at $P$, and then ... same specimen is reloaded in tension from point $R$, the value of stress at which the material yields again is _______ MPa.
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Feb 9
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gate20191
numericalanswers
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GATE2019126
The set of equations $x+y+z=1$ $axay+3z=5$ $5x3y+az=6$ has infinite solutions, if $a=$ $3$ $3$ $4$ $4$
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Feb 9
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21.5k
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gate20191
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GATE2019127
A harmonic function is analytic if it satisfies the Laplace equation. If $u(x,y)=2x^22y^2+4xy$ is a harmonic function, then it is conjugate harmonic function $v(x,y)$ is $4xy2x^2+2y^2+ \text{constant}$ $4y^24xy + \text{constant}$ $2x^22y^2+ xy + \text{constant}$ $4xy+2x^22y^2+ \text{constant}$
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Feb 9
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21.5k
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gate20191
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GATE2019128
The variable $x$ takes a value between $0$ and $10$ with uniform probability distribution. The variable $y$ takes a value between $0$ and $20$ with uniform probability distribution. The probability of the sum of variables $(x+y)$ being greater then $20$ is $0$ $0.25$ $0.33$ $0.50$
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Feb 9
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21.5k
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gate20191
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GATE2019131
The rotor of a turbojet engine of an aircraft has a mass $180 \: kg$ and polar moment of inertia $10 \: kg \cdot m^2$ about the rotor axis. The rotor rotates at a constant speed of $1100 \: rad/s$ in the clockwise direction when viewed from the front of the aircraft. The ... and the nose goes down $162.9 \: N \cdot m$ and the nose goes up $162.9 \: N \cdot m$ and the nose goes down
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Feb 9
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21.5k
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gate20191
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GATE2019132
The wall of a constant diameter pipe of length $1 \: m$ is heated uniformly with flux $q''$ by wrapping a heater coil around it. The flow at the inlet to the pipe is hydrodynamically fully developed. The fluid is incompressible and the flow is assumed to be laminar and steady ... the location P, Q and R, the flow is thermally developed at P, Q and R P and Q only Q and R only R only
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Feb 9
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gate20191
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