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GATE20132
The eigen values of a symmetric matrix are all complex with nonzero positive imaginary part. complex with nonzero negative imaginary part. real. pure imaginary.
asked
Feb 19, 2017
in
Linear Algebra
by
piyag476
(
1.4k
points)
gate2013me
0
votes
0
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GATE20182GA8
A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, fiveseventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day? 50 89 146 175
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me2
generalaptitude
numericalability
worktime
0
votes
0
answers
GATE20182GA10
An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head ans T stands for tail, the following are the observations from the four trials. HTHTHT TTHHHT HTTHHT HHHT_ _ Which ... correct? Two T will occur. One H and one T will occur. Two H will occur. One H wll be followed by one T.
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me2
generalaptitude
numericalability
pobability
0
votes
1
answer
GATE2019 ME1: GA1
John Thomas, an _____ writer, passed away in 2018. imminent prominent eminent dominant
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
verbalability
mostappropriateword
+1
vote
2
answers
GATE2019 ME2: GA1
Once the team of analysis identify the problem, we ____ in a better position to comment on the issue. Which of the following choices CANNOT fill the given blank? will be were to be are going to be might be
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me2
generalaptitude
verbalability
englishgrammar
0
votes
0
answers
GATE20182GA5
The value of the expression $\frac{1}{1+ \log_u \: vw} + \frac{1}{1+ \log_v \: wu} + \frac{1}{1+\log_w uv}$ is _______ 1 0 1 3
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me2
generalaptitude
numericalability
logarithms
0
votes
2
answers
GATE2018225
A ball is dropped from rest from a height of $1 \: m$ in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring the curved portion), the total distance travelled (in $m$) by the ball is _____ (correct to two decimal places)
asked
Feb 17, 2018
in
Engineering Mechanics
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
1
answer
GATE20182GA1
"The dress ______ her so well that they all immediately _______ her on her appearance." The words that best fill the blanks in the above sentence are complemented, complemented complimented, complemented complimented, complimented complemented, complimented
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me2
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
GATE2017 ME2: GA7
$X$ 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? $30$ $35$ $40$ $45$
asked
Feb 27, 2017
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2017me2
generalaptitude
numericalability
worktime
+1
vote
0
answers
GATE2018251
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 ____
asked
Feb 17, 2018
in
Operations Research
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE2014336
Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by $t$, lying in the interval $0$ to $2π$ ... $cost$ , $y(t)=2sint$ $x(t)$= $\frac{1}{2}$+$cost$ , $y(t)=sint$
asked
Feb 19, 2017
in
Theory of Machines
by
Arjun
(
21.2k
points)
gate2014me3
0
votes
0
answers
GATE2018134
IN a Lagrangian system, the position of a fluid particle in a flow is described as $x=x_0e^{kt}$ and $y=y_oe^{kt}$ where $t$ is the time while $x_o, \: y_o$, and $k$ are constants. The flow is unsteady and onedimensional steady and twodimensional steady and onedimensional unsteady and twodimensional
asked
Feb 17, 2018
in
Fluid Mechanics
by
Arjun
(
21.2k
points)
gate2018me1
0
votes
0
answers
GATE2015249
In a twostage wire drawing operation, the fractional reduction (ratio of change in crosssectional area to initial crosssectional area) in the first stage is $0.4$. The fractional reduction in the second stage is $0.3$. The overall fractional reduction is $0.24$ $0.58$ $0.60$ $1.00$
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2015me2
0
votes
0
answers
GATE20182GA6
Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films? 0 2 4 8
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me2
generalaptitude
numericalability
venndiagrams
0
votes
1
answer
GATE2018224
The arrival of customers over fixed time intervals in a bank follow a Poisson distribution with an average of 30 customers/hour. The probability that the time between successive customer arrival is between 1 and 3 minutes is _____ (correct to two decimal places)
asked
Feb 17, 2018
in
Probability and Statistics
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE20182GA2
" The judge's standing in the legal; community, though shaken by false allegations of wrongdoing. remained ______ ." The word that best fills the blank in the above sentence is undiminished damaged illegal uncertain
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me2
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
GATE20182GA4
The perimeters of a circle. a square and en equilateral triangle are equal. Which one of the following statements is true? The circle has the largest area The square has the largest area The equilateral triangle has the largest area All the three shapes have the same area
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me2
generalaptitude
numericalability
geometry
0
votes
0
answers
GATE20182GA9
A house has a number which need to be identified. The following three statements are given that can help in identifying the house number? If the house number is a multiple of $3$, then it is a number from $50$ to $59$. If the house number is NOT a multiple of $4$, then it is ... a multiple of $6$, then it is a number from $70$ to $79$. What is the house number? $54$ $65$ $66$ $76$
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me2
generalaptitude
numericalability
numericalcomputation
0
votes
1
answer
GATE2016352
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 _________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2016me3
0
votes
0
answers
GATE20182GA3
Find the missing group of letters in the following series: BC, FCH, LMNO, ______ UVWXY TUVWX STUVW RSTUV
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me2
generalaptitude
verbalability
verbalreasoning
0
votes
1
answer
GATE2018122
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 twodimensional incompressible flow and that the plate remains ... $u_{avg}$ of the fluid (in m/s) draining out at the instant shown in the figure is ____ (correct to three decimal places).
asked
Feb 17, 2018
in
Others
by
Arjun
(
21.2k
points)
gate2018me1
0
votes
0
answers
GATE20181GA3
Seven machines take $7$ minutes to make $7$ identical toys. At the same rate, how many minutes would it take for $100$ machine to make $100$ toys? $1$ $7$ $100$ $700$
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me1
generalaptitude
numericalability
worktime
0
votes
0
answers
GATE2014125
In solidstate welding, the contamination layers between the surfaces to be welded are removed by alcohol plastic deformation water jet sand blasting
asked
Feb 19, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2014me1
0
votes
0
answers
GATE2019 ME1: GA2
____I permitted him to leave, I wouldn’t have had any problem with him being absent, ____ I? Had, wouldn’t Have, would Had, would Have, wouldn’t
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
verbalability
englishgrammar
0
votes
0
answers
GATE2016148
A hypothetical engineering stressstrain curve shown in the figure has three straight lines PQ, QR, RS with coordinates P$(0,0)$, Q$(0.2,100)$, R$(0.6,140)$ and S$(0.8,130)$. 'Q' is the yield point, 'R' is the UTS point and 'S' the fracture point. The toughness of the material (in $MJ$/$m^3$) is __________
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2016me1
0
votes
1
answer
GATE2019 ME1: 1
Consider the matrix $P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$ The number of distinct eigenvalues $0$ $1$ $2$ $3$
asked
Feb 9
in
Linear Algebra
by
Arjun
(
21.2k
points)
gate2019me1
0
votes
1
answer
GATE2018227
Let $X_1$ and $X_2$ be two independent exponentially distributed random variables with means 0.5 and 0.25, respectively. Then $Y=\text{min}(X_1, X_2)$ is exponentially distributed with mean 1/6 exponentially distributed with mean 2 normally distributed with mean 3/4 normally distributed with mean 1/6
asked
Feb 17, 2018
in
Probability and Statistics
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE20181GA4
A rectangle becomes a square when its length and breadth are reduced by $10$ m and $5$ m, respectively. During this process, the rectangle loses $650$ m$^2$ of area. What is the area of the original rectangle in square meters? $1125$ $2250$ $2924$ $4500$
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me1
generalaptitude
numericalability
geometry
0
votes
0
answers
GATE20181GA1
"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
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me1
generalaptitude
verbalability
englishgrammar
0
votes
0
answers
GATE2014238
Consider the two states of stress as shown in configurations I and II in the figure below. From the standpoint of distortion energy (vonMises) criterion, which one of the following statements is true? $I$ yields after $II$ $II$ yields after $I$ Both yield simultaneously Nothing can be said about their relative yielding
asked
Feb 19, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2014me2
0
votes
0
answers
GATE20181GA2
"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
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me1
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
GATE201318
In order to have maximum power from a Pelton turbine, the bucket speed must be equal to the jet speed. equal to half of the jet speed. equal to twice the jet speed. independent of the jet speed.
asked
Feb 19, 2017
in
Others
by
piyag476
(
1.4k
points)
gate2013me
0
votes
0
answers
GATE20182GA7
A wire would enclose an area of 1936 $m^2$, if it is bent to a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters? 1096 1111 1243 2486
asked
Feb 17, 2018
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2018me2
generalaptitude
numericalability
geometry
0
votes
1
answer
GATE2018220
A hollow circular shaft of inner radius $10 \: mm$ outer radius $20 \: mm$ length $1 \: m$ is to be used as a torsional spring. If the shear modulus of the material of the shaft is $150 \: GPa$, the torsional stiffness of the shaft (in $kNm/rad$) is ____ (corret to two decimal places).
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
1
answer
GATE2018212
Denoting $L$ as liquid and $M$ as solid in a phasediagram with the subscripts representing different phases, a $eutectoid$ reaction is described by $M_1 \rightarrow M_2+M_3$ $L_1 \rightarrow M_1+M_2$ $L_1+M_1 \rightarrow M_2$ $M_1 +M_2 \rightarrow M_3$
asked
Feb 17, 2018
in
Engineering Materials
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE2017 ME2: 53
A cylindrical pin of $25^{+0.020}_{+0.010}$ mm diameter is electroplated. Plating thickness is $2.0^{\pm0.005}$ mm. Neglecting the gauge tolerance, the diameter (in mm, up to $3$ decimal points accuracy) of the GO ring gauge to inspect the plated pin is __________.
asked
Feb 27, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2017me2
0
votes
1
answer
GATE2019 ME2: GA2
A final examination is the ____ of a series of evaluations that a student has to go through culmination consultation desperation insinuation
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me2
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
GATE2016241
Consider a frictionless, massless and leakproof plug blocking a rectangular hole of dimensions $2R L$ at the bottom of an open tank as shown in the figure. The head of the plug has the shape of a semicylinder of radius $R$. The tank is filled with a liquid of density $\rho$ up to the tip of ... $2\rho R^2gL(1+\frac{\pi }{4})$ $\pi R^2\rho gL$ $\frac{\pi }{2}\rho R^2gL$
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2016me2
+1
vote
0
answers
GATE2016128
The value of the integral $\displaystyle{\int_{\infty }^{\infty }\frac{sinx}{x^2+2x+2}}dx$ evaluated using contour integration and the residue theorem is $\displaystyle{\frac{\pi sin(1)}{e}}$ $\displaystyle{\frac{\pi cos (1)}{e}}$ $\displaystyle{\frac{sin (1)}{e}}$ $\displaystyle{\frac{cos (1)}{e}}$
asked
Feb 24, 2017
in
Others
by
Arjun
(
21.2k
points)
gate2016me1
0
votes
0
answers
GATE2014122
The major difficulty during welding of aluminum is due to its high tendency of oxidation high thermal conductivity low melting point low density
asked
Feb 19, 2017
in
Casting, Forming and Joining Processes
by
Arjun
(
21.2k
points)
gate2014me1
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