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Recent questions tagged gateme-2024

6 6 votes
3 3 answers
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GATE Mechanical 2024 | GA | Question: 1
​​If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [smile $\rightarrow$ giggle $\rightarrow$ laugh] is analogous to [disapprove $...
3 3 votes
5 5 answers
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GATE Mechanical 2024 | GA | Question: 2
​​​Find the odd one out in the set: $\{19,37,21,17,23,29,31,11\}$$21$$29$$37$$23$
3 3 votes
2 answers 2 answers
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GATE Mechanical 2024 | GA | Question: 3
​​​​​In the following series, identify the number that needs to be changed to form the Fibonacci series.$1,1,2,3,6,8,13,21, \ldots$$8$$21$$6$$13$
4 4 votes
2 answers 2 answers
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GATE Mechanical 2024 | GA | Question: 4
​​The real variables $x, y, z$, and the real constants $p, q, r$ satisfy\[\frac{x}{p q-r^{2}}=\frac{y}{q r-p^{2}}=\frac{z}{r p-q^{2}}\]Given that the denominators are non...
0 0 votes
4 4 answers
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GATE Mechanical 2024 | GA | Question: 5
Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as $2,3,5$, and $7$. If thrown, the long dice cannot land on the square faces...
2 2 votes
1 1 answer
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GATE Mechanical 2024 | GA | Question: 6
In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.Prof. $\text{P}$ (i) merely a man who narrated funny stories. (...
4 4 votes
2 2 answers
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GATE Mechanical 2024 | GA | Question: 7
How many combinations of non-null sets $\text{A, B, C}$ are possible from the subsets of $\{2,3,5\}$ satisfying the conditions: (i) $\mathrm{A}$ is a subset of $\mathrm{B...
7 7 votes
1 1 answer
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GATE Mechanical 2024 | GA | Question: 8
The bar chart gives the batting averages of $\mathrm{VK}$ and $\mathrm{RS}$ for $11$ calendar years from $2012$ to $2022$. Considering that $2015$ and $2019$ are world cu...
4 4 votes
1 1 answer
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GATE Mechanical 2024 | GA | Question: 9
A planar rectangular paper has two $\text{V}$-shaped pieces attached as shown below.This piece of paper is folded to make the following closed three-dimensional object.Th...
4 4 votes
1 1 answer
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GATE Mechanical 2024 | GA | Question: 10
​​​Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is$30^{\circ}$$60^{\c...
–1 –1 vote
0 0 answers
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GATE Mechanical 2024 | Question: 1
​​​In order to numerically solve the ordinary differential equation $\frac{d y}{d t}=-y$ for $t>0$, with an initial condition $y(0)=1$, the following scheme is employed\[...
1 1 vote
0 0 answers
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GATE Mechanical 2024 | Question: 2
​​The value of the surface integralwhere $S$ is the external surface of the sphere $x^{2}+y^{2}+z^{2}=R^{2}$ is$0$$4 \pi R^{3}$$\frac{4 \pi}{3} R^{3}$$\pi R^{3}$
0 0 votes
0 0 answers
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776 views
GATE Mechanical 2024 | Question: 3
​​​​​Let $f(z)$ be an analytic function, where $z=x+i y$. If the real part of $f(z)$ is $\cosh x \cos y$, and the imaginary part of $f(z)$ is zero for $y=0$, then $f(z)$ ...
0 0 votes
1 1 answer
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830 views
GATE Mechanical 2024 | Question: 4
​​​​​Consider the system of linear equations\[\begin{array}{c}x+2 y+z=5 \\2 x+a y+4 z=12 \\2 x+4 y+6 z=b\end{array}\]The values of $a$ and $b$ such that there exists a no...
0 0 votes
0 0 answers
570
570 views
GATE Mechanical 2024 | Question: 5
​​​Let $f(.)$ be a twice differentiable function from $\mathbb{R}^2 \rightarrow \mathbb{R}$. If $\boldsymbol{p}, x_0 \in \mathbb{R}^2$ where $\|p\|$ is sufficiently small...
0 0 votes
0 0 answers
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GATE Mechanical 2024 | Question: 6
​​​​The velocity field of a two-dimensional, incompressible flow is given by\[\vec{V}=2 \sinh x \hat{\imath}+v(x, y) \hat{\jmath}\]where $\hat{\imath}$ and $\hat{\jmath}$...
–1 –1 vote
0 0 answers
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996 views
GATE Mechanical 2024 | Question: 7
​​​​A plane, solid slab of thickness $L$, shown in the figure, has thermal conductivity $k$ that varies with the spatial coordinate $x$ as $k=A+B x$, where $A$ and $B$ ar...
1 1 vote
0 0 answers
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712 views
GATE Mechanical 2024 | Question: 8
​​​​​Consider incompressible laminar flow over a flat plate with freestream velocity of $u_{\infty}$. The Nusselt number corresponding to this flow velocity is $N u_{1}$....
0 0 votes
0 0 answers
992
992 views
GATE Mechanical 2024 | Question: 9
​Consider a hydrodynamically fully developed laminar flow through a circular pipe with the flow along the axis (i.e., $z$ direction). In the following statements, $T$ is ...
0 0 votes
0 0 answers
809
809 views
GATE Mechanical 2024 | Question: 10
​​​​A furnace can supply heat steadily at $1200 \mathrm{~K}$ at a rate of $24000 \mathrm{~kJ} / \mathrm{min}$. The maximum amount of power (in $\mathrm{kW}$ ) that can be...
0 0 votes
0 0 answers
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GATE Mechanical 2024 | Question: 11
​​​​Which one of the following statements regarding a Rankine cycle is FALSE?Superheating the steam in the boiler increases the cycle efficiency.The pressure at the turbi...
–1 –1 vote
0 0 answers
870
870 views
GATE Mechanical 2024 | Question: 12
​​​For a ball bearing, the fatigue life in millions of revolutions is given by $L=\left(\frac{C}{P}\right)^{n}$, where $\text{P}$ is the constant applied load and $\text{...
0 0 votes
0 0 answers
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791 views
GATE Mechanical 2024 | Question: 13
​​​​The change in kinetic energy $\Delta E$ of an engine is $300 \mathrm{~J}$, and minimum and maximum shaft speeds are $\omega_{\min }=220 \mathrm{rad} / \mathrm{s}$ and...
0 0 votes
0 0 answers
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GATE Mechanical 2024 | Question: 14
​​​​A ram in the form of a rectangular body of size $l=9 \mathrm{~m}$ and $b=2 \mathrm{~m}$ is suspended by two parallel ropes of lengths $7 \mathrm{~m}$. Assume the cent...
0 0 votes
0 0 answers
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692 views
GATE Mechanical 2024 | Question: 15
​​​​A linear spring-mass-dashpot system with a mass of $2 \mathrm{~kg}$ is set in motion with viscous damping. If the natural frequency is $15 \mathrm{~Hz}$, and the ampl...
0 0 votes
0 0 answers
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GATE Mechanical 2024 | Question: 16
​​​​Which one of the following failure theories is the most conservative design approach against fatigue failure?Soderberg lineModified Goodman lineGerber lineYield line
0 0 votes
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838 views
GATE Mechanical 2024 | Question: 17
​​​​A rigid massless tetrahedron is placed such that vertex $\mathrm{O}$ is at the origin and the other three vertices $\text{A, B}$, and $\text{C}$ lie on the coordinate...
0 0 votes
0 0 answers
666
666 views
GATE Mechanical 2024 | Question: 18
​​​​​The phases present in pearlite areaustenite and ferritecementite and austeniteferrite and cementitemartensite and ferrite
0 0 votes
0 0 answers
647
647 views
GATE Mechanical 2024 | Question: 19
​​​​The "Earing" phenomenon in metal forming is associated withdeep drawingrollingextrusionforging
0 0 votes
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659 views
GATE Mechanical 2024 | Question: 28
​​​​A company orders gears in conditions identical to those considered in the economic order quantity $\text{(EOQ)}$ model in inventory control. The annual demand is $800...
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