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Recent questions tagged gate2019me1
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GATE2019 ME1: GA1
John Thomas, an _________ writer, passed away in $2018$. imminent prominent eminent dominant
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Feb 9, 2019
in
General Aptitude
by
Arjun
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21.2k
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gate2019me1
generalaptitude
verbalability
mostappropriateword
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GATE2019 ME1: GA2
____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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Feb 9, 2019
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General Aptitude
by
Arjun
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21.2k
points)
gate2019me1
generalaptitude
verbalability
englishgrammar
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GATE2019 ME1: GA3
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, 2019
in
General Aptitude
by
Arjun
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21.2k
points)
gate2019me1
generalaptitude
numericalability
clocktime
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1
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GATE2019 ME1: GA4
The sum and product of two integers are $26$ and $165$ respectively. The difference between these two integers is ______ $2$ $3$ $4$ $6$
asked
Feb 9, 2019
in
General Aptitude
by
Arjun
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21.2k
points)
gate2019me1
generalaptitude
numericalability
numericcomputation
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GATE2019 ME1: GA5
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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Feb 9, 2019
in
General Aptitude
by
Arjun
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21.2k
points)
gate2019me1
generalaptitude
verbalability
mostappropriateword
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GATE2019 ME1: GA6
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 ... following could be that statement? I did not commit the crime I committed the crime I will be shot You committed the crime
asked
Feb 9, 2019
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
verbalability
verbalreasoning
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GATE2019 ME1: GA7
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 the profit percentages are interchanged with these investments he would have got Rs. $120$ less. Find the ratio between his investments in the two schemes. $9:16$ $11:14$ $37:63$ $47:53$
asked
Feb 9, 2019
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
numericalability
ratioproportion
profitloss
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GATE2019 ME1: GA8
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, ... names was prevented by the Portuguese As a dictator Mobuto ordered the Portuguese to alter the name of the river to Zaire
asked
Feb 9, 2019
in
General Aptitude
by
Arjun
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21.2k
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gate2019me1
generalaptitude
verbalability
passagereading
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GATE2019 ME1: GA9
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 $2010$ ... $2010$ to $2016$, how many employees were there at skill level T in $2016$? $30$ $35$ $60$ $72$
asked
Feb 9, 2019
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
numericalability
datainterpretation
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GATE2019 ME1: GA10
$M$ 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 $P$
asked
Feb 9, 2019
in
General Aptitude
by
Arjun
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21.2k
points)
gate2019me1
generalaptitude
numericalability
agerelation
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GATE2019 ME1: 1
Consider the matrix $P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$ The number of distinct eigenvalues $0$ $1$ $2$ $3$
asked
Feb 9, 2019
in
Linear Algebra
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 2
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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Feb 9, 2019
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21.2k
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gate2019me1
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GATE2019 ME1: 3
For the equation $\frac{dy}{dx}+7x^2y=0$, if $y(0)=3/7$, then the value of $y(1)$ is $\frac{7}{3}e^{7/3} \\$ $\frac{7}{3}e^{3/7} \\$ $\frac{3}{7}e^{7/3} \\$ $\frac{3}{7}e^{3/7}$
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Feb 9, 2019
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21.2k
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gate2019me1
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GATE2019 ME1: 4
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? $81.85 \%$ $68.4 \%$ $99.75 \%$ $86.64 \%$
asked
Feb 9, 2019
in
Others
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 5
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, 2019
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Others
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Arjun
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21.2k
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gate2019me1
0
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0
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GATE2019 ME1: 6
The natural frequencies corresponding to the springmass systems $I$ and $II$ are $\omega_1$ and $\omega_{II}$, respectively. The ratio $\frac{\omega_I}{\omega_{II}}$ is $\frac{1}{4} \\$ $\frac{1}{2} \\$ $2 \\$ $4$
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Feb 9, 2019
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Others
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 7
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 $0.36 \: kN$ $0.73 \: kN$ $1.39 \: kN$ $2.78 \: kN$
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Feb 9, 2019
in
Others
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 8
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, 2019
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21.2k
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gate2019me1
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GATE2019 ME1: 9
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 $Nu_q > Nu_T$ $Nu_q < Nu_T$ $Nu_q = Nu_T$ $Nu_q = (Nu_T)^2$
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Feb 9, 2019
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21.2k
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gate2019me1
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GATE2019 ME1: 10
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, 2019
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 11
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 cylindrical rod of length $2L$. The heat transfer in radial direction and ... 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, 2019
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 12
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 ... performance is the same as that of the original cycle Refrigerating effect is lower than that of the original cycle
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Feb 9, 2019
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 13
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, 2019
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21.2k
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gate2019me1
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GATE2019 ME1: 14
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, 2019
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 15
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 $20$ ... 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, 2019
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 16
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, 2019
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Arjun
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21.2k
points)
gate2019me1
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GATE2019 ME1: 17
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, 2019
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Arjun
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21.2k
points)
gate2019me1
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GATE2019 ME1: 18
Evaluation of $\int_2^4 x^3 dx$ using a $2$equalsegment trapezoidal rule gives a value of _______
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Feb 9, 2019
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Arjun
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21.2k
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gate2019me1
numericalanswers
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GATE2019 ME1: 19
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, 2019
in
Others
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Arjun
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21.2k
points)
gate2019me1
numericalanswers
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GATE2019 ME1: 20
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, 2019
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Others
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Arjun
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21.2k
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gate2019me1
numericalanswers
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GATE2019 ME1: 21
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, 2019
in
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Arjun
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21.2k
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gate2019me1
numericalanswers
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GATE2019 ME1: 22
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 $R$ratio (minimum stress to maximum stress) for this cyclic loading is _____ (round off to one decimal place)
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Feb 9, 2019
in
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Arjun
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21.2k
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gate2019me1
numericalanswers
0
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GATE2019 ME1: 23
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 the 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, 2019
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Arjun
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21.2k
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gate2019me1
numericalanswers
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GATE2019 ME1: 24
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, 2019
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Arjun
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21.2k
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gate2019me1
numericalanswers
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GATE2019 ME1: 25
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 ... 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, 2019
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Arjun
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21.2k
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gate2019me1
numericalanswers
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GATE2019 ME1: 26
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, 2019
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 27
A harmonic function is analytic if it satisfies the Laplace equation. If $u(x,y)=2x^22y^2+4xy$ is a harmonic function, then its conjugate harmonic function $v(x,y)$ is $4xy2x^2+2y^2+ \text{constant}$ $4y^24xy + \text{constant}$ $2x^22y^2+ xy + \text{constant}$ $4xy+2y^22x^2+ \text{constant}$
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Feb 9, 2019
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 28
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, 2019
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Arjun
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21.2k
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gate2019me1
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GATE2019 ME1: 38
A truss is composed of members AB, BC, CD, AD and BD, as shown in the figure. A vertical load of $10 \: kN$ is applied at point D. The magnitude of force (in kN) in the member BC is __________
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Feb 9, 2019
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Others
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Arjun
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21.2k
points)
gate2019me1
numericalanswers
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GATE2019 ME1: 39
Consider an elastic straight beam of length $L= 10 \pi \: m$, with square crosssection of side $a=5 \: mm$, and Young's modulus $E=200 \: GPa$. This straight beam was bent in such a way that the two ends meets, to form a ... $MPa$.
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