Recent questions tagged gate2019-me-1 - GO Mechanical

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GATE2019 ME-1: GA-1
John Thomas, an _____ writer, passed away in 2018. imminent prominent eminent dominant

asked Feb 9 in General Aptitude by Arjun (21.2k points)

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GATE2019 ME-1: GA-2
____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

asked Feb 9 in General Aptitude by Arjun (21.2k points)

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GATE2019 ME-1: GA-3
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

asked Feb 9 in General Aptitude by Arjun (21.2k points)

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GATE2019 ME-1: GA-4
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 in General Aptitude by Arjun (21.2k points)

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GATE2019 ME-1: GA-5
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

asked Feb 9 in General Aptitude by Arjun (21.2k points)

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GATE2019 ME-1: GA-6
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 in General Aptitude by Arjun (21.2k points)

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GATE2019 ME-1: GA-7
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 in General Aptitude by Arjun (21.2k points)

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GATE2019 ME-1: GA-8
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 in General Aptitude by Arjun (21.2k points)

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GATE2019 ME-1: GA-9
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 in General Aptitude by Arjun (21.2k points)

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GATE2019 ME-1: GA-10
$M$ 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 in General Aptitude by Arjun (21.2k points)

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

asked Feb 9 in Linear Algebra by Arjun (21.2k points)

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GATE2019 ME-1: 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 x-axis is $\frac{\pi}{4}$ $\frac{\pi}{2}$ ${\pi}$ $2 \pi$

asked Feb 9 in Others by Arjun (21.2k points)

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

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 5
A flat-faced 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 $e \sin \omega t$ $e(1+ \cos 2 \omega t)$ $e(1- \cos \omega t)$ $e \sin 2 \omega t$

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 6
The natural frequencies corresponding tot he spring-mass systems $I$ and $II$ are $\omega_1$ and $\omega_{II}$, respectively. Tha ratio $\frac{\omega_I}{\omega_{II}}$ is $\frac{1}{4}$ $\frac{1}{2}$ $2$ $4$

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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 $0.36 \: kN$ $0.36 \: kN$ $1.39 \: kN$ $2.78 \: kN$

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 8
During a non-flow thermodynamic process $(1-2)$ executed by a perfect gas, the heat interaction is equal to the work interaction $(Q_{1-2} = W_{1-2})$ when the process is Isentropic Polytropic Isothermal Adiabatic

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 9
For a hydrodynamically and thermally fully developed laminar flow through a circular pipe of constant cross-section, the Nusselt number at constant wall heat flux $(Nu_q)$ and that at constant wall temperature $(Nu_T)$ are related as $Nu_q > Nu_r$ $Nu_q < Nu_r$ $Nu_q = Nu_r$ $Nu_q = (Nu_r)^2$

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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 cylinderical rod of length $2L$. The heat transfer in radial direction and ... conductivity of the composite rod is $k_1+k_2$ $\sqrt{k_1k_2}$ $\frac{k_1k_2}{k_1+k_2}$ $\frac{2k_1k_2}{k_1+k_2}$

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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 ... of performance is same as that of the original cycle Refrigerating effect is lower than that of the original cycle

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 14
Which one of the following welding methods provides the highest heat flux $(W/mm^2)$? Oxy-acetylene gas welding Tungsten inert gas welding Plasma arc welding Laser beam welding

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 16
The position vector $\overrightarrow{OP}$ of point $P(20,10)$ is rotated anti-clockwise in X-Y 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 $(13.40,22.32)$ $(22.32, 8.26)$ $(12.32, 18.66)$ $(18.66, 12.32)$

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 17
The table presents the demand of a product. By simple three-months moving average method, the demand-forecast of the product for the month of September is ... $490$ $510$ $530$ $536.67$

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 18
Evaluation of $\int_2^4 x^3 dx$ using a $2$-equal-segment trapezoidal rule gives a value of _______

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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 _____

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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).

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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 _______

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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 $R$-ration (minimum stress to maximum stress) for this cyclic loading is _____ (round off to one decimal place)

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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 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 ______$m/s^2$

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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 ______

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 25
Consider the stress-strain curve for an ideal elastic-plastic strain hardening metal as shown in the figure. The metal was loaded in uniaxial tension starting from $O$. Upon loading, the stress-strain 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.

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 26
The set of equations $x+y+z=1$ $ax-ay+3z=5$ $5x-3y+az=6$ has infinite solutions, if $a=$ $-3$ $3$ $4$ $-4$

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 27
A harmonic function is analytic if it satisfies the Laplace equation. If $u(x,y)=2x^2-2y^2+4xy$ is a harmonic function, then it is conjugate harmonic function $v(x,y)$ is $4xy-2x^2+2y^2+ \text{constant}$ $4y^2-4xy + \text{constant}$ $2x^2-2y^2+ xy + \text{constant}$ $-4xy+2x^2-2y^2+ \text{constant}$

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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 $0$ $0.25$ $0.33$ $0.50$

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 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 ______

asked Feb 9 in Others by Arjun (21.2k points)

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GATE2019 ME-1: 39
Consider an elastic straight beam of length $L= 10 \pi \: m$, with square cross-section 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 ... $MPa$.

asked Feb 9 in Others by Arjun (21.2k points)

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