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GATE ME 2012 | Question: 60
Choose the grammatically INCORRECT sentence: They gave us the money back less the service charges of Three Hundred rupees. This country's expenditure is not less than that of Bangladesh. The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum. This country's expenditure on educational reforms is very less.
Choose the grammatically INCORRECT sentence:They gave us the money back less the service charges of Three Hundred rupees.This country's expenditure is not less than that ...
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GATE ME 2012 | Question: 59
Which one of the following options is the closest in meaning to the word given below? Mitigate Diminish Divulge Dedicate Denote
Which one of the following options is the closest in meaning to the word given below?MitigateDiminishDivulgeDedicateDenote
1 answers
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GATE ME 2012 | Question: 58
Choose the most appropriate alternative from the options given below to complete the following sentence: Despite several ________ the mission succeeded in its attempt to resolve the conflict. attempts setbacks meetings delegations
Choose the most appropriate alternative from the options given below to complete the following sentence:Despite several ________ the mission succeeded in its attempt to r...
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GATE ME 2012 | Question: 54
For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below. ... critical path for the project is $a-b-e-g-h$ $a-c-g-h$ $a-d-f-h$ $a-b-c-f-h$
For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below.$\begi...
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GATE2018-2-51
The arc lengths of a directed graph of a project are as shown in the figure. The shortest path length from node $1$ to node $6$ is __________
The arc lengths of a directed graph of a project are as shown in the figure. The shortest path length from node $1$ to node $6$ is __________
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GATE2017 ME-2: 50
A rod of length $20$ mm is stretched to make a rod of length $40$ mm. Subsequently, it is compressed to make a rod of final length $10$ mm. Consider the longitudinal tensile strain as positive and compressive strain as negative. The total true longitudinal strain in the rod is $-0.5$ $-0.69$ $-0.75$ $-1.0$
A rod of length $20$ mm is stretched to make a rod of length $40$ mm. Subsequently, it is compressed to make a rod of final length $10$ mm. Consider the longitudinal tens...
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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. $1,1,2,3,6,8,13,21, \ldots$ $8$ $21$ $6$ $13$
​​​​​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$
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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-zero, the value of $p x+q y+r z$ is $0$ $1$ $p q r$ $p^{2}+q^{2}+r^{2}$
​​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...
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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 $\mathrm{B}$, and (ii) $\mathrm{B}$ is a subset of $\mathrm{C}$ ? $28$ $27$ $18$ $19$
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...
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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. The number of folds required to form the above object is $9$ $7$ $11$ $8$
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...
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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 $30^{\circ}$ $60^{\circ}$ $45^{\circ}$ $90^{\circ}$
​​​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}$$...
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GATE Mechanical 2024 | Question: 2
​​The value of the surface integral $\oiint_{S} z d x d y$ where $S$ is the external surface of the sphere $x^{2}+y^{2}+z^{2}=R^{2}$ is $0$ $4 \pi R^{3}$ $\frac{4 \pi}{3} R^{3}$ $\pi R^{3}$
​​The value of the surface integral$\oiint_{S} z d x d y$ where $S$ is the external surface of the sphere $x^{2}+y^{2}+z^{2}=R^{2}$ is$0$$4 \pi R^{3}$$\frac{4 \pi}{3}...
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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)$ is $\cosh x \exp (-i y)$ $\cosh z \exp z$ $\cosh z \cos y$ $\cosh z$
​​​​​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$, th...
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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 (here $|| . ||$ ... $\boldsymbol{p}^{T} \nabla^{2} f(\boldsymbol{\psi}) \boldsymbol{p}<0$
​​​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...
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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 $\omega_{\max }=280 \mathrm{rad} / \mathrm{s}$, respectively. Assume that the ... $0.113$ $0.096$ $0.071$ $0.053$
​​​​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...
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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}$ ... from which the ram should be released from rest? $67.1^{\circ}$ $40.2^{\circ}$ $35.1^{\circ}$ $79.5^{\circ}$
​​​​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 ...
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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 line Modified Goodman line Gerber line Yield line
​​​​Which one of the following failure theories is the most conservative design approach against fatigue failure?Soderberg lineModified Goodman lineGerber lineYie...
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GATE Mechanical 2024 | Question: 18
​​​​​The phases present in pearlite are austenite and ferrite cementite and austenite ferrite and cementite martensite and ferrite
​​​​​The phases present in pearlite areaustenite and ferritecementite and austeniteferrite and cementitemartensite and ferrite
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GATE Mechanical 2024 | Question: 19
​​​​The "Earing" phenomenon in metal forming is associated with deep drawing rolling extrusion forging
​​​​The "Earing" phenomenon in metal forming is associated withdeep drawingrollingextrusionforging
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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{~L} 5 \mathrm{~V}$ $\mathrm{A} 80 \mathrm{~L} 5 \mathrm{~V}$
​​​​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 ...
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