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GATE Mechanical 2023 | GA Question: 1
Q.1 - Q.5 Carry ONE mark Each \begin{tabular}{|l|l|} \hline Q.1 & He did not manage to fix the car himself, so he ___ in the garage. \\ \hline & \\ \hline & got it fixed \\ \hline & getting it fixed \\ \hline & gets fixed \\ \hline & got fixed \\ \hline & \\ \hline \end{tabular}
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GATE Mechanical 2023 | GA Question: 2
\begin{tabular}{|l|l|} \hline Q.2 & $\begin{array}{l}\text { Planting : Seed : : Raising : } \\ \text { (By word meaning })\end{array}$ \\ \hline & Child \\ \hline & Temperature \\ \hline & Height \\ \hline & Lift \\ \hline \end{tabular}
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GATE Mechanical 2023 | GA Question: 3
\begin{tabular}{|l|l|l|l} Q.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? \\ Universities \end{tabular}
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GATE Mechanical 2023 | GA Question: 4
\begin{tabular}{|l|l|} \hline Q.4 & $\begin{array}{l}\text { The minute-hand and second-hand of a clock cross each other } \\ \text { between 09:15:00 AM and 09:45:00 AM on a day. }\end{array}$ \\ \hline & 30 \\ \hline & 15 \\ \hline & 29 \\ \hline & 31 \\ \hline & \\ \hline \end{tabular}
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GATE Mechanical 2023 | GA Question: 5
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GATE Mechanical 2023 | GA Question: 6
\begin{tabular}{|l|l|} \hline Q.6 & ... friends are interested in sports. \\ \hline & Some of Ravi's friends are hardworking and kind. \\ \hline \end{tabular}
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GATE Mechanical 2023 | GA Question: 7
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GATE Mechanical 2023 | GA Question: 8
\begin{tabular}{|l|l|} \hline Q.8 & $\begin{array}{l}\text { Which one of the sentence sequences in the given options creates a coherent } \\ \text { narrative? }\end{array}$ \\ (i) I could not bring myself to knock. \\ (ii) There was a murmur of unfamiliar ... & (ii), (i), (iv), (iii) \\ \hline & (i), (iii), (ii), (iv) \\ \hline \end{tabular}
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GATE Mechanical 2023 | GA Question: 9
\begin{tabular}{|l|l|} \hline Q.9 & $\begin{array}{l}\text { How many pairs of sets }(S, T) \text { are possible among the subsets of }\{1,2,3,4,5,6\} \\ \text { that satisfy the condition that } S \text { is a subset of } T ?\end{array}$ \\ \hline & 729 \\ \hline & 728 \\ \hline & 665 \\ \hline & 664 \\ \hline & \\ \hline \end{tabular}
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GATE Mechanical 2023 | GA Question: 10
\begin{tabular}{|l|l|} \hline Q.10 & ... \\ \hline Opaque \\ pyramid \end{tabular}
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GATE Mechanical 2023 | Question: 1
\begin{tabular}{l|l|} Q.11 & ... respectively \\ \hline & 0.015 and 0.015, respectively \\ \hline & 3 and 9, respectively \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 2
\begin{tabular}{|l|l|} \hline Q.12 & $\begin{array}{l}\text { The figure shows the plot of a function over the interval }[-4,4] \text {. Which one of the } \\ \text { options given CORRECTLY identifies the function? }\end{array}$ \\ \hline & $|2-x|$ \\ \hline & $|2-| x||$ \\ \hline & $|2+| x||$ \\ \hline & $2-|x|$ \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 3
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GATE Mechanical 2023 | Question: 4
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GATE Mechanical 2023 | Question: 5
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GATE Mechanical 2023 | Question: 6
\begin{tabular}{|l|l|} \hline Q.16 & $\begin{array}{l}\text { The effective stiffness of a cantilever beam of length } L \text { and flexural rigidity } E I \\ \text { subjected to a transverse tip load } \mathrm{W} \text { is }\end{array}$ ... \hline & $\frac{L^{3}}{2 E I}$ \\ \hline & $\frac{L^{3}}{3 E I}$ \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 7
\begin{tabular}{|l|l|} \hline Q.17 & $\begin{array}{l}\text { The options show frames consisting of rigid bars connected by pin joints. Which } \\ \text { one of the frames is non-rigid? }\end{array}$ \\ \hline & \\ \hline & \end{tabular}
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GATE Mechanical 2023 | Question: 8
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GATE Mechanical 2023 | Question: 9
\begin{tabular}{|l|l|} \hline Q.19 & ... ; $\sqrt{2} \tau_{w}$ \\ \hline & $2 \tau_{w}$ \\ \hline & $\tau_{w} / \sqrt{2}$ \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 10
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GATE Mechanical 2023 | Question: 11
\begin{tabular}{|l|l|} \hline Q.21 & ... Prandtl number \\ \hline & the Prandtl number but not the Reynolds number \\ \hline & \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 12
\begin{tabular}{|l|l|} \hline Q.22 & ... \\ \hline & \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 13
\begin{tabular}{|l|l|} \hline Q.23 & ... hline & Arc welding \\ \hline & Brazing \\ \hline & Adhesive bonding \\ \hline & Spot welding \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 14
\begin{tabular}{|l|l|l|} \hline Q.24 & ... \\ Which of the option(s) given represent(s) the bending stress distribution at cross- \\ section AA after plastic yielding? \end{tabular}
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GATE Mechanical 2023 | Question: 15
\begin{tabular}{|l|l|} \hline Q.25 & ... \\ \hline & Patterns can be used to make moulds. \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 16
\begin{tabular}{|l|l|} \hline Q.26 & ... predicts that the material does not fail \\ \hline & Maximum shear stress theory predicts that the material does not fail \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 17
\begin{tabular}{|l|l|l|} \hline Q.27 & 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.) \\ \hline & $\mathrm{M} 1$ \\ \hline & $\mathrm{M} 2$ \\ \hline & $\mathrm{M} 3$ \\ \hline & $\mathrm{M} 4$ \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 18
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GATE Mechanical 2023 | Question: 19
\begin{tabular}{|l|l|} \hline Q.29 & 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) \end{tabular}
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GATE Mechanical 2023 | Question: 20
\begin{tabular}{|l|l|} Q.30 & ... \end{tabular}
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GATE Mechanical 2023 | Question: 21
\begin{tabular}{|l|l|} \hline Q.31 & A vector field \\ ... $x, y)=x \hat{\imath}-2 z \hat{\mathrm{k}}$ \end{tabular}
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GATE Mechanical 2023 | Question: 22
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GATE Mechanical 2023 | Question: 23
\begin{tabular}{|l|l|} \hline Q.33 & $\begin{array}{l}\text { The value of } k \text { that makes the complex-valued function } \\ \text { analytic, where } z=x+i y, \text { is } \\ \text { (Answer in integer })\end{array}$ \\ \hline$f(z)=e^{-k x}(\cos 2 y-i \sin 2 y)$ \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 24
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GATE Mechanical 2023 | Question: 25
\begin{tabular}{|l|l|} \hline Q.35 & ... \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 26
\begin{tabular}{|l|l|} \hline Q.36 & Which one of the options given is the inverse Laplace transform of $\frac{1}{s^{3}-s} ?$ \\ & $u(t)$ denotes the unit-step function. \\ \hline & $\left(-1+\frac{1}{2} e^{-t}+\frac{1}{2} e^{t}\right) u(t)$ \ ... hline & $\left(-1-\frac{1}{2} e^{-(t-1)}-\frac{1}{2} e^{(t-1)}\right) u(t-1)$ \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 27
\begin{tabular}{|l|l|} Q.37 & ... $9.8 \hat{\boldsymbol{\imath}}+17.0 \hat{\boldsymbol{\jmath}}$ \\ \hline \end{tabular}
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GATE Mechanical 2023 | Question: 28
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GATE Mechanical 2023 | Question: 29
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GATE Mechanical 2023 | Question: 30
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