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3
3 answers
2.6k
2.6k views
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 $...
2.6k
views
asked
Feb 16, 2024
Verbal Aptitude
gateme-2024
most-appropriate-word
verbal-aptitude
+
–
5
5 answers
3.8k
3.8k views
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$
3.8k
views
asked
Feb 16, 2024
Analytical Aptitude
gateme-2024
analytical-aptitude
odd-one
easy
+
–
2
answers
2 answers
2.2k
2.2k views
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$
2.2k
views
asked
Feb 16, 2024
Quantitative Aptitude
gateme-2024
quantitative-aptitude
sequence-series
+
–
2
answers
2 answers
862
862 views
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...
862
views
asked
Feb 16, 2024
Quantitative Aptitude
gateme-2024
quantitative-aptitude
ratio-proportion
+
–
4
4 answers
2.0k
2.0k views
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...
2.0k
views
asked
Feb 16, 2024
Quantitative Aptitude
gateme-2024
quantitative-aptitude
probability
+
–
1
1 answer
878
878 views
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. (...
878
views
asked
Feb 16, 2024
Verbal Aptitude
gateme-2024
verbal-aptitude
most-appropriate-word
+
–
2
2 answers
1.8k
1.8k views
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...
1.8k
views
asked
Feb 16, 2024
Quantitative Aptitude
gateme-2024
quantitative-aptitude
set-theory
+
–
1
1 answer
1.2k
1.2k views
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...
1.2k
views
asked
Feb 16, 2024
Quantitative Aptitude
gateme-2024
quantitative-aptitude
bar-graph
data-interpretation
+
–
1
1 answer
1.9k
1.9k views
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...
1.9k
views
asked
Feb 16, 2024
Spatial Aptitude
gateme-2024
spatial-aptitude
paper-folding
+
–
1
1 answer
2.0k
2.0k views
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...
2.0k
views
asked
Feb 16, 2024
Spatial Aptitude
gateme-2024
spatial-aptitude
patterns-in-three-dimensions
+
–
0
0 answers
795
795 views
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\[...
795
views
asked
Feb 16, 2024
Differential Equations
gateme-2024
numerical-answers
differential-equations
numerical-methods
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–
0
0 answers
1.1k
1.1k views
GATE Mechanical 2024 | Question: 2
The value of the surface integral $\oiint_S \,z \,dx \,dy$where $S$ 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...
1.1k
views
asked
Feb 16, 2024
Calculus
gateme-2024
calculus
surface-integral
engineering-mathematics
+
–
0
0 answers
795
795 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 $f(z)$ ...
795
views
asked
Feb 16, 2024
Complex Variables
gateme-2024
complex-variables
calculus
+
–
1
1 answer
865
865 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...
865
views
asked
Feb 16, 2024
Linear Algebra
gateme-2024
linear-algebra
system-of-equations
numerical-answers
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–
0
0 answers
589
589 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...
589
views
asked
Feb 16, 2024
Others
gateme-2024
calculus
engineering-mathematics
+
–
0
0 answers
1.1k
1.1k views
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 $\hat{\jmath}$...
1.1k
views
asked
Feb 16, 2024
Fluid Mechanics
gateme-2024
fluid-mechanics
calculus
numerical-answers
+
–
0
0 answers
1.0k
1.0k 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...
1.0k
views
asked
Feb 16, 2024
Heat Transfer
gateme-2024
heat-transfer
calculus
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–
0
0 answers
739
739 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 $N u_{1}$....
739
views
asked
Feb 16, 2024
Heat Transfer
gateme-2024
heat-transfer
fluid-mechanics
numerical-answers
+
–
0
0 answers
1.0k
1.0k 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 ...
1.0k
views
asked
Feb 16, 2024
Heat Transfer
gateme-2024
heat-transfer
fluid-mechanics
numerical-answers
+
–
0
0 answers
828
828 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...
828
views
asked
Feb 16, 2024
Thermodynamics
gateme-2024
thermodynamics
numerical-answers
power-engineering
+
–
0
0 answers
1.0k
1.0k views
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...
1.0k
views
asked
Feb 16, 2024
Thermodynamics
gateme-2024
thermodynamics
power-engineering
+
–
0
0 answers
888
888 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{...
888
views
asked
Feb 16, 2024
Machine Design
gateme-2024
machine-design
+
–
0
0 answers
824
824 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...
824
views
asked
Feb 16, 2024
Theory of Machines
gateme-2024
theory-of-machines
machine-design
numerical-answers
+
–
0
0 answers
943
943 views
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...
943
views
asked
Feb 16, 2024
Engineering Mechanics
gateme-2024
engineering-mechanics
numerical-answers
+
–
0
0 answers
711
711 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...
711
views
asked
Feb 16, 2024
Vibrations
gateme-2024
vibrations
numerical-answers
+
–
0
0 answers
861
861 views
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
861
views
asked
Feb 16, 2024
Machine Design
gateme-2024
machine-design
mechanics-of-materials
+
–
0
0 answers
861
861 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...
861
views
asked
Feb 16, 2024
Engineering Mechanics
gateme-2024
engineering-mechanics
equilibrium
+
–
0
0 answers
685
685 views
GATE Mechanical 2024 | Question: 18
The phases present in pearlite areaustenite and ferritecementite and austeniteferrite and cementitemartensite and ferrite
685
views
asked
Feb 16, 2024
Engineering Materials
gateme-2024
engineering-materials
materials-manufacturing-and-industrial-engineering
+
–
0
0 answers
665
665 views
GATE Mechanical 2024 | Question: 19
The "Earing" phenomenon in metal forming is associated withdeep drawingrollingextrusionforging
665
views
asked
Feb 16, 2024
Casting, Forming and Joining Processes
gateme-2024
casting-forming-and-joining-processes
materials-manufacturing-and-industrial-engineering
+
–
0
0 answers
1.5k
1.5k views
GATE Mechanical 2024 | Question: 20
The grinding wheel used to provide the best surface finish is$\mathrm{A} 36 \mathrm{~L} 5 \mathrm{~V}$$\mathrm{A} 54 \mathrm{~L} 5 \mathrm{~V}$$\mathrm{A} 60 \mathrm{...
1.5k
views
asked
Feb 16, 2024
Machining and Machine Tool Operations
gateme-2024
machining-and-machine-tool-operations
numerical-answers
+
–