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GATE Mechanical 2022 Set 1 | Question: 47
Two mild steel plates of similar thickness, in butt-joint configuration, are welded by gas tungsten arc welding process using the following welding parameters. ... $\text{mm/s}$ (round off to one decimal place).
Two mild steel plates of similar thickness, in butt-joint configuration, are welded by gas tungsten arc welding process using the following welding parameters.$$\begin{ar...
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GATE Mechanical 2022 Set 1 | Question: 10
The type of fit between a mating shaft of diameter $25.0 ^{+0.010}_{- 0.010}$ $\text{mm}$ and a hole of diameter $25.015 ^{+0.015}_{- 0.015}$ $\text{mm}$ is __________________. Clearance Transition Interference Linear
The type of fit between a mating shaft of diameter $25.0 ^{+0.010}_{- 0.010}$ $\text{mm}$ and a hole of diameter $25.015 ^{+0.015}_{- 0.015}$ $\text{mm}$ is ____________...
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GATE Mechanical 2022 Set 1 | Question: 55
During open-heart surgery, a patient's blood is cooled down to $25^{\circ}C$ from $37^{\circ}C$ using a concentric tube counter-flow heat exchanger. Water enters the heat exchanger at $4^{\circ}C$ ... $2$ decimal places).
During open-heart surgery, a patient's blood is cooled down to $25^{\circ}C$ from $37^{\circ}C$ using a concentric tube counter-flow heat exchanger. Water enters the heat...
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GATE Mechanical 2022 Set 1 | Question: 46
A $4$ $\text{mm}$ thick aluminum sheet of width $w = 100$ $\text{mm}$ is rolled in a two-roll mill of roll diameter $200$ $\text{mm}$ ... $\bar{\sigma}$ is average flow stress, $L$ is roll-workpiece contact length, and $\bar{h}$ is the average sheet thickness.
A $4$ $\text{mm}$ thick aluminum sheet of width $w = 100$ $\text{mm}$ is rolled in a two-roll mill of roll diameter $200$ $\text{mm}$ each. The workpiece is lubricated wi...
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GATE Mechanical 2022 Set 2 | Question: 31
Parts $P1 - P7$ are machined first on a milling machine and then polished at a separate machine. Using the information in the following table, the minimum total completion time required tor carrying out both the operations for all $7$ ... $31$ $33$ $30$ $32$
Parts $P1 – P7$ are machined first on a milling machine and then polished at a separate machine. Using the information in the following table, the minimum total complet...
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GATE Mechanical 2022 Set 2 | Question: 51
At steady state, $500$ $\text{kg/s}$ of steam enters a turbine with specific enthalpy equal to $3500$ $\text{kJ/kg}$ and specific entropy equal to $6.5$ ${kJ \cdot kg^{-1} \cdot K^{-1}}$. It expands reversibly in the turbine to the ... $\text{MW}$ (in integer).
At steady state, $500$ $\text{kg/s}$ of steam enters a turbine with specific enthalpy equal to $3500$ $\text{kJ/kg}$ and specific entropy equal to $6.5$ ${kJ \cdot kg^{-1...
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GATE Mechanical 2021 Set 2 | GA Question: 8
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ___________ $\frac{1}{8}$ $\frac{1}{6}$ $\frac{1}{4}$ $\frac{1}{2}$
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ___________$\frac{1}{8}$$\frac{1}{6}$$\frac{1}{4}$$\fr...
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GATE Mechanical 2021 Set 2 | Question: 1
Consider an $n \times n$ matrix $\text{A}$ and a non-zero $n \times 1$ vector $p.$ Their product $Ap=\alpha ^{2}p$, where $\alpha \in \Re$ and $\alpha \notin \left \{ -1,0,1 \right \}$. Based on the given information, the eigen value of $A^{2}$ is: $\alpha$ $\alpha ^{2}$ $\surd{\alpha }$ $\alpha ^{4}$
Consider an $n \times n$ matrix $\text{A}$ and a non-zero $n \times 1$ vector $p.$ Their product $Ap=\alpha ^{2}p$, where $\alpha \in \Re$ and $\alpha \notin \left \{ -1...
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GATE Mechanical 2021 Set 2 | Question: 3
The mean and variance, respectively, of a binomial distribution for $n$ independent trails with the probability of success as $p$, are $\sqrt{np},np\left ( 1-2p \right )$ $\sqrt{np},\sqrt{np\left ( 1-p \right )}$ $np,np$ $np, np\left ( 1-p \right )$
The mean and variance, respectively, of a binomial distribution for $n$ independent trails with the probability of success as $p$, are$\sqrt{np},np\left ( 1-2p \right )$$...
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GATE2020-ME-1: 23
A company is hiring to fill four managerial vacancies. The candidates are five men and three women. If every candidate is equally likely to be chosen then the probability that at least one woman will be selected is _______(round off to $2$ decimal places).
A company is hiring to fill four managerial vacancies. The candidates are five men and three women. If every candidate is equally likely to be chosen then the probability...
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GATE Mechanical 2021 Set 2 | Question: 2
If the Laplace transform of a function $f(t)$ is given by $\frac{s+3}{\left ( s+1 \right )\left ( s+2 \right )}$, then $f(0)$ is $0$ $\frac{1}{2}$ $1$ $\frac{3}{2}$
If the Laplace transform of a function $f(t)$ is given by $\frac{s+3}{\left ( s+1 \right )\left ( s+2 \right )}$, then $f(0)$ is$0$$\frac{1}{2}$$1$$\frac{3}{2}$
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GATE Mechanical 2021 Set 1 | GA Question: 4
If $\left\{\begin{matrix} “ \oplus” \; \text{means}\; “-” \\ “ \otimes” \; \text{means}\; “\div” \\ “ \triangle” \; \text{means}\; “+” \\ “ \triangledown” \; \text{means}\; “\times” \end{matrix}\right.$ then, the value of the expression $\triangle 2 \oplus 3 \triangle \left((4 \otimes 2) \triangledown 4) \right) = $ $-1$ $-0.5$ $6$ $7$
If $\left\{\begin{matrix} “ \oplus” \; \text{means}\; “-” \\ “ \otimes” \; \text{means}\; “\div” \\ “ \triangle” \; \text{means}\; “+” \\ “...
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GATE Mechanical 2021 Set 1 | GA Question: 1
Consider the following sentences: After his surgery, Raja hardly could walk. After his surgery, Raja could barely walk. After his surgery, Raja barely could walk. After his surgery, Raja could hardly walk. Which of the above sentences are grammatically $\text{CORRECT}$ ... $\text{(i) and (iii)}$ $\text{(iii) and (iv)}$ $\text{(ii) and (iv)}$
Consider the following sentences:After his surgery, Raja hardly could walk.After his surgery, Raja could barely walk.After his surgery, Raja barely could walk.After his s...
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GATE Mechanical 2021 Set 1 | GA Question: 8
The number of hens, ducks and goats in farm $P$ are $65,91$ and $169,$ respectively. The total number of hens, ducks and goats in a nearby farm $Q$ is $416.$ The ratio of hens : ducks : goats in farm $Q$ is $5:14:13.$ All the hens, ducks and goats ... $P$ is ________ $5:7:13$ $5:14:13$ $10:21:26$ $21:10:26$
The number of hens, ducks and goats in farm $P$ are $65,91$ and $169,$ respectively. The total number of hens, ducks and goats in a nearby farm $Q$ is $416.$ The ratio of...
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GATE Mechanical 2021 Set 2 | GA Question: 7
A box contains $15$ blue balls and $45$ black balls. If $2$ balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is _____ $\frac{3}{16}$ $\frac{45}{236}$ $\frac{1}{4}$ $\frac{3}{4}$
A box contains $15$ blue balls and $45$ black balls. If $2$ balls are selected randomly, without replacement, the probability of an outcome in which the first selected is...
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GATE Mechanical 2021 Set 2 | GA Question: 6
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$. $\text{Statement 1}:$ All entrepreneurs are wealthy. $\text{Statement 2}:$ All wealthy are risk seekers. $\text{Conclusion I}:$ All risk seekers ... Neither conclusion $\text{I}$ nor $\text{II}$ is correct Both conclusions $\text{I}$ and $\text{II}$ are correct
Given below are two statements $1$ and $2$, and two conclusions $\text{I}$ and $\text{II}$.$\text{Statement 1}:$ All entrepreneurs are wealthy.$\text{Statement 2}:$ All w...
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GATE Mechanical 2021 Set 2 | GA Question: 5
The front door of $\text{Mr. X's}$ house faces East. $\text{Mr. X}$ leaves the house, walking $\text{50 m}$ straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for ... point $\text{Mr. X}$ is now located at with respect to the starting point is ____ South-East North-East West North-West
The front door of $\text{Mr. X's}$ house faces East. $\text{Mr. X}$ leaves the house, walking $\text{50 m}$ straight from the back door that is situated directly opposite...
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GATE Mechanical 2021 Set 1 | GA Question: 3
In the above figure, $\textsf{O}$ is the center of the circle and, $\textsf{M}$ and $\textsf{N}$ lie on the circle. The area of the right triangle $\textsf{MON}$ is $50\;\text{cm}^{2}$. What is the area of the circle in $\text{cm}^{2}?$ $2\pi$ $50\pi$ $75\pi$ $100\pi$
In the above figure, $\textsf{O}$ is the center of the circle and, $\textsf{M}$ and $\textsf{N}$ lie on the circle. The area of the right triangle $\textsf{MON}$ is $50\;...
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GATE Mechanical 2021 Set 1 | GA Question: 9
... number of management degree holders among the executives in companies $\textsf{C2}$ and $\textsf{C5}$ together is ________. $225$ $600$ $1900$ $2500$
$$\begin{array}{|c|c|} \hline \textbf{Company} & \textbf{Ratio} \\\hline C1 & 3:2 \\\hline C2 & 1:4 \\\hline C3 & 5:3 \\\hline C4 & 2:3 \\\hline C5 & 9:1 \\\hline C6 & 3:...
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