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GATE2018-2-19
If $A=\begin{bmatrix}1 & 2 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 1 \end{bmatrix}$ then $\text{det}(A^{-1})$ is _______ (correct to two decimal palces).
If $A=\begin{bmatrix}1 & 2 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 1 \end{bmatrix}$ then $\text{det}(A^{-1})$ is _______ (correct to two decimal palces).
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GATE2018-2-12
Denoting $L$ as liquid and $M$ as solid in a phase-diagram with the subscripts representing different phases, a $\textit{eutectoid}$ reaction is described by $M_1 \rightarrow M_2+M_3$ $L_1 \rightarrow M_1+M_2$ $L_1+M_1 \rightarrow M_2$ $M_1 +M_2 \rightarrow M_3$
Denoting $L$ as liquid and $M$ as solid in a phase-diagram with the subscripts representing different phases, a $\textit{eutectoid}$ reaction is described by$M_1 \rightar...
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GATE Mechanical 2018 Set 1 | GA Question: 1
"Going by the _____ that many hands make light work, the school ____ involved all the students in the task." The words that best fill the blanks in the above sentence are principle, principal principal, principle principle, principle principal, principal
"Going by the _____ that many hands make light work, the school ____ involved all the students in the task."The words that best fill the blanks in the above sentence arep...
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GATE Mechanical 2018 Set 1 | GA Question: 2
"Her _____ should not be confused with miserliness; she is ever willing to assist those in need." The word that best fills the blank in the above sentence is cleanliness punctuality frugality greatness
"Her _____ should not be confused with miserliness; she is ever willing to assist those in need."The word that best fills the blank in the above sentence iscleanlinesspu...
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GATE2018-1-47
A plane slab of thickness $L$ and thermal conductivity $k$ is heated heated with a fluid on one side $(P)$, and the other side $(Q)$ is maintained at a constant temperature, $T_Q$ of $25^{\circ}C$ ... The steady state temperature, $T_P$ (in $^{\circ}$C) of the side which is exposed to the fluid is _____ (correct to two decimal places)
A plane slab of thickness $L$ and thermal conductivity $k$ is heated heated with a fluid on one side $(P)$, and the other side $(Q)$ is maintained at a constant temperatu...
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GATE2018-1-22
A flat plate of width $L=1 \: m$ is pushed down with a velocity $U=0.01 \: m/s$ towards a wall resulting in the drainage of the fluid between the plate and the wall as sown in the figure. Assume two-dimensional incompressible flow and that the plate remains ... $m/s$) draining out at the instant shown in the figure is ____ (correct to three decimal places).
A flat plate of width $L=1 \: m$ is pushed down with a velocity $U=0.01 \: m/s$ towards a wall resulting in the drainage of the fluid between the plate and the wall as so...
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GATE2018-1-17
The number of atoms per unit cell and the number of slip systems, respectively, for a face-centered cubic (FCC) crystal are $3, 3$ $3, 12$ $4, 12$ $4, 48$
The number of atoms per unit cell and the number of slip systems, respectively, for a face-centered cubic (FCC) crystal are$3, 3$$3, 12$$4, 12$$4, 48$
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GATE Mechanical 2017 Set 2 | GA Question: 7
$X$ bullocks and $Y$ tractors take $8$ days to plough a field. If we have the number of bullocks and double the number of tractors, it takes $5$ days to plough the same field. How many days will it take $X$ bullocks alone to plough the field? $30$ $35$ $40$ $45$
$X$ bullocks and $Y$ tractors take $8$ days to plough a field. If we have the number of bullocks and double the number of tractors, it takes $5$ days to plough the same f...
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GATE2017 ME-2: 50
A rod of length $20$ mm is stretched to make a rod of length $40$ mm. Subsequently, it is compressed to make a rod of final length $10$ mm. Consider the longitudinal tensile strain as positive and compressive strain as negative. The total true longitudinal strain in the rod is $-0.5$ $-0.69$ $-0.75$ $-1.0$
A rod of length $20$ mm is stretched to make a rod of length $40$ mm. Subsequently, it is compressed to make a rod of final length $10$ mm. Consider the longitudinal tens...
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GATE2017 ME-2: 21
The crystal structure of aluminium is. body-centered cubic. face-centered cubic. close-packed hexagonal. body-centered tetragonal.
The crystal structure of aluminium is.body-centered cubic.face-centered cubic.close-packed hexagonal.body-centered tetragonal.
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GATE2017 ME-2: 29
If $f(z)=(x^{2}+ay^{2})+i bxy$ is a complex analytic function of $z=x+iy$, where $i=\sqrt{-1}$, then $a=-1, b=-1$ $a=-1, b=2$ $a=1, b= 2$ $a=2, b=2$
If $f(z)=(x^{2}+ay^{2})+i bxy$ is a complex analytic function of $z=x+iy$, where $i=\sqrt{-1}$, then$a=-1, b=-1$$a=-1, b=2$$a=1, b= 2$$a=2, b=2$
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GATE2017 ME-2: 28
Consider the matrix $A=\begin{bmatrix} 50 &70 \\ 70 & 80 \end{bmatrix}$ whose eigenvectors corresponding to eigenvalues $\lambda _{1}$ and $\lambda _{2}$ are $x_{1}=\begin{bmatrix} 70 \\ \lambda_{1}-50 \end{bmatrix}$ and $x_{2}=\begin{bmatrix} \lambda _{2}-80\\ 70 \end{bmatrix}$, respectively. The value of $x^{T}_{1} x_{2}$ is _________.
Consider the matrix $A=\begin{bmatrix}50 &70 \\70 & 80\end{bmatrix}$ whose eigenvectors corresponding to eigenvalues $\lambda _{1}$ and $\lambda _{2}$ are $x_{1}=\begin{b...
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GATE2017 ME-2: 15
If a mass of moist air contained in a closed metallic vessel is heated, then its Relative humidity decreases. Relative humidity increases. Specific humidity increases. Specific humidity decreases.
If a mass of moist air contained in a closed metallic vessel is heated, then its Relative humidity decreases.Relative humidity increases.Specific humidity increases.Speci...
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GATE2017 ME-2: 3
The determinant of a $2 \times 2$ matrix is $50$. If one eigenvalue of the matrix is $10$, the other eigenvalue is _________.
The determinant of a $2 \times 2$ matrix is $50$. If one eigenvalue of the matrix is $10$, the other eigenvalue is _________.
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GATE Mechanical 2017 Set 1 | GA Question: 2
As the two speakers become increasingly agitated, the debate became _________. lukewarm poetic forgiving heated
As the two speakers become increasingly agitated, the debate became _________.lukewarmpoeticforgivingheated
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GATE2017 ME-1: 25
In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to Yield stress Proportional limit Maximum stress Fracture stress
In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers toYield stressProportional limitMaximum stressFracture stress
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GATE2017 ME-1: 13
The Poisson's ratio for a perfectly incompressible linear elastic material is $1$ $0.5$ $0$ Infinity
The Poisson's ratio for a perfectly incompressible linear elastic material is$1$$0.5$$0$Infinity
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GATE2016-3-52
Two optically flat plates of glass are kept at a small angle $\theta$ as shown in the figure. Monochromatic light is incident vertically. If the wavelength of light used to get a fringe spacing of $1$ $mm$ is $450$ $nm$, the wavelength of light (in $nm$) to get a fringe spacing of $1.5$ $mm$ is _________
Two optically flat plates of glass are kept at a small angle $\theta$ as shown in the figure. Monochromatic light is incident vertically.If the wavelength of light used t...
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GATE Mechanical 2016 Set 2 | GA Question: 3
Choose the statement $(s)$ where the underlined word is used correctly: A prone is a dried plum. He was lying prone on the floor. People who eat a lot of fat are prone to heart disease. $(i)$ and $(iii)$ only $(iii)$ only $(i)$ and $(ii)$ only $(ii)$ and $(iii)$ only
Choose the statement $(s)$ where the underlined word is used correctly:A prone is a dried plum.He was lying prone on the floor.People who eat a lot of fat are prone to he...
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GATE Mechanical 2016 Set 2 | GA Question: 2
The unruly crowd demanded that the accused be _____________ without trial. hanged hanging hankering hung
The unruly crowd demanded that the accused be _____________ without trial.hangedhanginghankeringhung
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GATE2016-2-17
The internal energy of an ideal gas is a function of temperature and pressure volume and pressure entropy and pressure temperature only
The internal energy of an ideal gas is a function oftemperature and pressurevolume and pressureentropy and pressuretemperature only
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GATE2016-1-16
Which of the following statements are TRUE with respect to heat and work? They are boundary phenomena They are exact differentials They are path functions both $(i)$ and $(ii)$ both $(i)$ and $(iii)$ both $(ii)$ and $(iii)$ only $(iii)$
Which of the following statements are TRUE with respect to heat and work?They are boundary phenomenaThey are exact differentialsThey are path functionsboth $(i)$ and $(ii...
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GATE Mechanical 2015 Set 3 | GA Question: 6
Select the option in place of underlined parts of sentence. Increased productivity necessary reflects greater efforts made by the employees. Increase in productivity necessary Increase productivity is necessary Increase in productivity necessarily No improvement required
Select the option in place of underlined parts of sentence.Increased productivity necessary reflects greater efforts made by the employees.Increase in productivity necess...
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GATE Mechanical 2015 Set 3 | GA Question: 2
Fill the blank with the correct idiom/phrase. That boy from the town was ______________________ in the sleepy village. dog out of heard sheep from the heap fish out of water bird from the flock
Fill the blank with the correct idiom/phrase.That boy from the town was ______________________ in the sleepy village.dog out of heardsheep from the heapfish out of waterb...
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GATE2015-3-10
The thermodynamic cycle shown in figure ($T$-$s$ diagram) indicates reversed Carnot cycle reversed Brayton cycle vapor compression cycle vapor absorption cycle
The thermodynamic cycle shown in figure ($T$-$s$ diagram) indicatesreversed Carnot cyclereversed Brayton cyclevapor compression cyclevapor absorption cycle
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GATE Mechanical 2015 Set 2 | GA Question: 2
Choose the most suitable one word substitute for the following expression: Connotation of a road or way Pertinacious Viaticum Clandestine Ravenous
Choose the most suitable one word substitute for the following expression:Connotation of a road or wayPertinaciousViaticumClandestineRavenous
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GATE Mechanical 2015 Set 2 | GA Question: 1
Choose the most appropriate word from the options given below to complete the following sentence. If the athlete had wanted to come first in the race, he _________ several hours every day. should practice should have practiced practised should be practicing
Choose the most appropriate word from the options given below to complete the following sentence.If the athlete had wanted to come first in the race, he _________ several...
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GATE Mechanical 2015 Set 2 | GA Question: 3
Choose the correct verb to fill in the blank below: Let us _____ introvert alternate atheist altruist
Choose the correct verb to fill in the blank below:Let us _____introvertalternateatheistaltruist
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GATE2015-2-5
Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are $0.8$, $0.7$ and $0.5$. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is ___________
Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are $0.8$, $0.7$ and $0...
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GATE Mechanical 2015 Set 1 | GA Question: 2
Choose the word most similar in meaning to the given word Awkward Inept Graceful Suitable Dreadful
Choose the word most similar in meaning to the given wordAwkwardIneptGracefulSuitableDreadful
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GATE Mechanical 2015 Set 1 | GA Question: 3
What is the adverb for the given word below? Misogynous Misogynousness Misogynity Misogynously Misogynous
What is the adverb for the given word below?MisogynousMisogynousnessMisogynityMisogynouslyMisogynous
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GATE Mechanical 2014 Set 4 | GA Question: 2
After the discussion, Tom said to me, 'Please revert!'. He expects me to _________. retract get back to him move in reverse retreat
After the discussion, Tom said to me, 'Please revert!'. He expects me to _________.retractget back to himmove in reverseretreat
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GATE Mechanical 2014 Set 4 | GA Question: 1
Which of the following options is the closest in meaning to the word underlined in the sentence below? In a democracy, everybody has the freedom to disagree with the government. dissent descent decent decadent
Which of the following options is the closest in meaning to the word underlined in the sentence below?In a democracy, everybody has the freedom to disagree with the gover...
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GATE Mechanical 2014 Set 4 | GA Question: 3
While receiving the award, the scientist said, "I feel vindicated". Which of the following is closest in meaning to the word ‘vindicated’? punished substantiated appreciated chastened
While receiving the award, the scientist said, "I feel vindicated". Which of the following is closest in meaning to the word ‘vindicated’?punishedsubstantiatedappreci...
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GATE Mechanical 2014 Set 4 | Question: 1
Which one of the following equations is a correct identity for arbitrary $3 \times 3$ real matrices $P$, $Q$ and $R$? $P(Q+R)=PQ+RP$ $(P-Q)^2 = P^2 -2PQ -Q^2$ $\text{det } (P+Q)= \text{det } P+ \text{det } Q$ $(P+Q)^2=P^2+PQ+QP+Q^2$
Which one of the following equations is a correct identity for arbitrary $3 \times 3$ real matrices $P$, $Q$ and $R$?$P(Q+R)=PQ+RP$$(P-Q)^2 = P^2 -2PQ -Q^2$$\text{det } ...
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GATE Mechanical 2014 Set 3 | GA Question: 3
'Advice' is ________________. a verb a noun an adjective both a verb and a noun
'Advice' is ________________.a verba nounan adjectiveboth a verb and a noun
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GATE Mechanical 2014 Set 2 | Question: 46
In an ideal Brayton cycle, atmospheric air (ratio of specific heats, $c_p$/$c_v$ = $1.4$, specific heat at constant pressure = $1.005$ $kJ/kg.K$) at $1$ $bar$ and $300$ $K$ is compressed to $8$ $bar$. The maximum temperature in the cycle ... the heat is supplied at the rate of $80$ $MW$, the mass flow rate (in $kg/s$) of air required in the cycle is _______
In an ideal Brayton cycle, atmospheric air (ratio of specific heats, $c_p$/$c_v$ = $1.4$, specific heat at constant pressure = $1.005$ $kJ/kg.K$) at $1$ $bar$ and $300$ $...
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GATE Mechanical 2014 Set 1 | Question: 28
In the following table, $x$ is a discrete random variable and $p(x)$ is the probability density. The standard deviation of $x$ is $\begin{array}{|c|c|c|c|} \hline x & 1 & 2 & 3 \\ \hline p(x) & 0.3 & 0.6 & 0.1 \\ \hline \end{array}$ $0.18$ $0.36$ $0.54$ $0.60$
In the following table, $x$ is a discrete random variable and $p(x)$ is the probability density. The standard deviation of $x$ is$$\begin{array}{|c|c|c|c|} \hline x & 1 &...
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GATE Mechanical 2014 Set 1 | GA Question: 3
Choose the most appropriate word from the options given below to complete the following sentence. Many ancient cultures attributed disease to supernatural causes. However, modern science has largely helped _________ such notions. impel dispel propel repel
Choose the most appropriate word from the options given below to complete the following sentence.Many ancient cultures attributed disease to supernatural causes. However,...
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GATE ME 2013 | Question: 58
Which one of the following options is the closest in meaning to the word given below? Nadir Highest Lowest Medium Integration
Which one of the following options is the closest in meaning to the word given below? NadirHighestLowestMediumIntegration
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