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Recent questions tagged gateme-2023

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3 votes
GATE Mechanical 2023 | GA Question: 1
He did not manage to fix the car himself, so he ________ in the garage. got it fixed getting it fixed gets fixed got fixed
He did not manage to fix the car himself, so he ________ in the garage.got it fixedgetting it fixedgets fixedgot fixed
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GATE Mechanical 2023 | GA Question: 2
Planting : Seed: : Raising: _________ (By word meaning) Child Temperature Height Lift
Planting : Seed: : Raising: _________(By word meaning)ChildTemperatureHeightLift
1 answers
2 votes
GATE Mechanical 2023 | GA Question: 3
A certain country has $504$ universities and $25951$ colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III? $22.7$ $23.7$ $15.0$ $66.8$
A certain country has $504$ universities and $25951$ colleges. These are categorised into Grades I, II, and III as shown in the given pie charts.What is the percentage, c...
1 answers
2 votes
GATE Mechanical 2023 | GA Question: 4
The minute-hand and second-hand of a clock cross each other ___________ times between $09:15:00$ AM and $09:45:00$ AM on a day. $30$ $15$ $29$ $31$
The minute-hand and second-hand of a clock cross each other ___________ times between $09:15:00$ AM and $09:45:00$ AM on a day.$30$$15$$29$$31$
2 answers
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GATE Mechanical 2023 | GA Question: 5
The symbols $\bigcirc, \ast , \bigtriangleup$, and $\square$ are to be filled, one in each box, as shown below. The rules for filling in the four symbols are as follows. Every row and every column must contain each of the four symbols. ... will occupy the box marked with '?' in the partially filled figure? $\bigcirc$ $\ast$ $\bigtriangleup$ $\square$
The symbols $\bigcirc, \ast , \bigtriangleup$, and $\square$ are to be filled, one in each box, as shown below.The rules for filling in the four symbols are as follows.Ev...
1 answers
2 votes
GATE Mechanical 2023 | GA Question: 6
In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi's friends at school were hardworking and kind too. But the ... and kind. None of Ravi's friends are interested in sports. Some of Ravi's friends are hardworking and kind.
In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all o...
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0 votes
GATE Mechanical 2023 | GA Question: 7
Consider the following inequalities $ \begin{aligned} & p^2-4 q<4 \\ & 3 p+2 q<6 \end{aligned} $ where $p$ and $q$ are positive integers. The value of $(p+q)$ is __________. $2$ $1$ $3$ $4$
Consider the following inequalities$$\begin{aligned}& p^2-4 q<4 \\& 3 p+2 q<6\end{aligned}$$where $p$ and $q$ are positive integers.The value of $(p+q)$ is __________.$2$...
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3 votes
GATE Mechanical 2023 | GA Question: 9
How many pairs of sets $\text{(S, T)}$ are possible among the subsets of $\{1,2,3,4,5,6\}$ that satisfy the condition that $\mathrm{S}$ is a subset of $\mathrm{T}?$ $729$ $728$ $665$ $664$
How many pairs of sets $\text{(S, T)}$ are possible among the subsets of $\{1,2,3,4,5,6\}$ that satisfy the condition that $\mathrm{S}$ is a subset of $\mathrm{T}?$ $729$...
1 answers
2 votes
GATE Mechanical 2023 | GA Question: 10
An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be reoriented in any ... $\mathbf{S}$ is NOT possible? $\mathbf{P}$ $\mathbf{Q}$ $\mathbf{R}$ $\mathbf{S}$
An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen or...
1 answers
0 votes
GATE Mechanical 2023 | Question: 1
A machine produces a defective component with a probability of $0.015$. The number of defective components in a packed box containing $200$ components produced by the machine follows a Poisson distribution. The mean and the variance of the distribution are $3$ ... $\sqrt{3}$, respectively $0.015$ and $0.015$, respectively $3$ and $9$, respectively
A machine produces a defective component with a probability of $0.015$. The number of defective components in a packed box containing $200$ components produced by the mac...
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GATE Mechanical 2023 | Question: 2
The figure shows the plot of a function over the interval $[-4,4]$. Which one of the options given $\text{CORRECTLY}$ identifies the function? $|2-x|$ $|2-| x||$ $|2+| x||$ $2-|x|$
The figure shows the plot of a function over the interval $[-4,4]$. Which one of the options given $\text{CORRECTLY}$$ identifies the function?$|2-x|$$|2-| x||$$|2+| x||$...
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GATE Mechanical 2023 | Question: 6
The effective stiffness of a cantilever beam of length $L$ and flexural rigidity $E I$ subjected to a transverse tip load $\mathrm{W}$ is $\frac{3 E I}{L^{3}}$ $\frac{2 E I}{L^{3}}$ $\frac{L^{3}}{2 E I}$ $\frac{L^{3}}{3 E I}$
The effective stiffness of a cantilever beam of length $L$ and flexural rigidity $E I$ subjected to a transverse tip load $\mathrm{W}$ is$\frac{3 E I}{L^{3}}$$\frac{2 E I...
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GATE Mechanical 2023 | Question: 7
The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid?
The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid?
1 answers
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GATE Mechanical 2023 | Question: 8
The $\text{S-N}$ curve from a fatigue test for steel is shown. Which one of the options gives the endurance limit? $S_{u t}$ $S_2$ $S_3$ $S_4$
The $\text{S-N}$ curve from a fatigue test for steel is shown. Which one of the options gives the endurance limit? $S_{u t}$$S_2$$S_3$$S_4$
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GATE Mechanical 2023 | Question: 13
Two surfaces $\text{P}$ and $\text{Q}$ are to be joined together. In which of the given joining operation(s), there is no melting of the two surfaces $\text{P}$ and $\text{Q}$ for creating the joint? Arc welding Brazing Adhesive bonding Spot welding
Two surfaces $\text{P}$ and $\text{Q}$ are to be joined together. In which of the given joining operation(s), there is no melting of the two surfaces $\text{P}$ and $\tex...
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GATE Mechanical 2023 | Question: 17
Which of the plot(s) shown is/are valid Mohr's circle representations of a plane stress state in a material? (The center of each circle is indicated by $0$.) $\text{M1}$ $\text{M2}$ $\text{M3}$ $\text{M4}$
Which of the plot(s) shown is/are valid Mohr's circle representations of a plane stress state in a material? (The center of each circle is indicated by $0$.)$\text{M1}$$\...
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GATE Mechanical 2023 | Question: 18
Consider a laterally insulated rod of length $\mathrm{L}$ and constant thermal conductivity. Assuming one-dimensional heat conduction in the rod, which of the following steady-state temperature profile(s) can occur without internal heat generation?
Consider a laterally insulated rod of length $\mathrm{L}$ and constant thermal conductivity. Assuming one-dimensional heat conduction in the rod, which of the following s...
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GATE Mechanical 2023 | Question: 19
Two meshing spur gears $1$ and $2$ with diametral pitch of $8$ teeth per mm and an angular velocity ratio $\left|\omega_{2}\right| /\left|\omega_{1}\right|=1 / 4$, have their centers $30 \mathrm{~mm}$ apart. The number of teeth on the driver (gear $1$) is___________. (Answer in integer)
Two meshing spur gears $1$ and $2$ with diametral pitch of $8$ teeth per mm and an angular velocity ratio $\left|\omega_{2}\right| /\left|\omega_{1}\right|=1 / 4$, have t...
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GATE Mechanical 2023 | Question: 22
A linear transformation maps a point $(x, y)$ in the plane to the point $(\hat{x}, \hat{y})$ according to the rule $\hat{x}=3 y, \quad \hat{y}=2 x .$ Then, the disc $x^2+y^2 \leq 1$ gets transformed to a region with an area equal to ________. (Rounded off to two decimals) Use $\pi=3.14$
A linear transformation maps a point $(x, y)$ in the plane to the point $(\hat{x}, \hat{y})$ according to the rule$$\hat{x}=3 y, \quad \hat{y}=2 x .$$Then, the disc $x^2+...
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GATE Mechanical 2023 | Question: 23
The value of $k$ that makes the complex-valued function $ f(z)=e^{-k x}(\cos 2 y-i \sin 2 y) $ analytic, where $z=x+i y$, is __________. (Answer in integer)
The value of $k$ that makes the complex-valued function$$f(z)=e^{-k x}(\cos 2 y-i \sin 2 y)$$analytic, where $z=x+i y$, is __________. (Answer in integer)
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