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Recent questions tagged gateme-2015-set3

5 5 votes
3 answers 3 answers
731
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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 necess...
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18 18 votes
2 answers 2 answers
676
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GATE Mechanical 2015 Set 3 | GA | Question: 9
Right triangle $PQR$ is to be constructed in $xy$-plane so that the right angle is at $P$ and line $PR$ is parallel to $x$-axis.The $x$ and $y$ coordinates of $P$, $Q$ an...
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9 9 votes
3 answers 3 answers
541
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GATE Mechanical 2015 Set 3 | GA | Question: 8
In the given figure $Q$ is a right triangle, $$PS:QS = 3:1$$ $$RT:QT = 5:2$$ $$PU:UR = 1:1$$ If area of triangle $QTS$ is $20$ $cm^2$, then the area of triangle $PQR$ in ...
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7 7 votes
2 answers 2 answers
757
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GATE Mechanical 2015 Set 3 | GA | Question: 7
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows:Statements:No manager is a leader.All...
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10 10 votes
4 answers 4 answers
660
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GATE Mechanical 2015 Set 3 | GA | Question: 5
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to held to compl...
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18 18 votes
3 answers 3 answers
899
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GATE Mechanical 2015 Set 3 | GA | Question: 10
A coin is tossed thrice. Let C be the event that head occurs in each of first two tosses. Let Y be the event that tails occurs in third toss. Let Z be the event that two ...
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7 7 votes
3 answers 3 answers
518
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GATE Mechanical 2015 Set 3 | GA | Question: 3
Choose the statement where underlined word is used correctlyWhen the teacher eludes to different authors, he is being elusive.When the thief keeps eluding the police, he ...
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4 4 votes
4 answers 4 answers
811
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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 heardsheep from the heapfish out of waterb...
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1 1 vote
4 answers 4 answers
692
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GATE Mechanical 2015 Set 3 | GA | Question: 1
Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence:Apparent lifelessness _________ dormant life.harboursleads tos...
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8 8 votes
2 answers 2 answers
559
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GATE Mechanical 2015 Set 3 | GA | Question: 4
Tanya is older than Eric.Cliff is older than Tanya.Eric is older than Cliff. If the first two statements are true ,then the third statement is :TrueFalseUncertainDa...
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0 0 votes
0 0 answers
330
330 views
GATE2015-3-55
A mixture of ideal gases has the following composition by mass:$\begin{array}{|c|c|c|} \hline N_2 & O_2 & CO_2 \\ \hline 60\% & 30\% & 10 \% \\ \hline \end{array}$If the ...
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0 0 votes
0 0 answers
301
301 views
GATE2015-3-54
A brick wall $\left(k=0.9\displaystyle{\frac{W}{m.k}}\right)$ of thickness $0.18$ $m$ separates the warm air in a room from the cold ambient air. On a particular winter d...
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0 0 votes
0 0 answers
331
331 views
GATE2015-3-47
The torque (in $N$-$m$) exerted on the crank shaft of a two stroke engine can be described as $T = 10000 + 1000 \sin(2θ) − 1200 \cos(2θ)$, where $θ$ is the crank angle as...
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0 0 votes
0 0 answers
224
224 views
GATE2015-3-51
For the linear programming problem:$$\begin{array}{ll} \text{Maximize} & Z = 3X_1 + 2X_2 \\ \text{Subject to} &−2X_1 + 3X_2 \leq 9\\ & X_1 − 5 X_2 \geq −20 \\ & X_1, ...
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0 0 votes
0 0 answers
278
278 views
GATE2015-3-44
Laplace transform of the function $f(t)$ is given by $F(s)=L\begin{bmatrix} f(t) \end{bmatrix}=\int_{0}^{\infty }f(t)e^{-st}dt$ . Laplace transform of the function shown ...
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0 0 votes
0 0 answers
268
268 views
GATE2015-3-43
Newton-Raphson method is used to find the roots of the equation, $x^3+3x^2+3x-1=0$. If the initial guess is $x_0=1$, then the value of $x$ after $2^{nd}$ iteration is ___...
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0 0 votes
0 0 answers
262
262 views
GATE2015-3-42
For a given matrix $P=\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix}$, where $i=\sqrt{-1}$, the inverse of matrix $P$ is$P=\displaystyle{\frac{1}{24}}\begin{bmatrix} ...
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0 0 votes
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305
305 views
GATE2015-3-53
One side of a wall is maintained at $400 \: K$ and the other at $300 \: K$. The rate of heat transfer through the wall is $1000 \: W$ and the surrounding temperature is $...
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0 0 votes
0 0 answers
445
445 views
GATE2015-3-52
Which of the following statements are TRUE, when the cavitation parameter $\sigma =0$?the local pressure is reduced to vapor pressurecavitation startsboiling of liquid st...
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0 0 votes
0 0 answers
247
247 views
GATE2015-3-50
The dimensions of a cylindrical side riser (height = diameter) for a $25 \: cm \times 15 \: cm \times 5 \: cm$ steel casting are to be determined. For the tabulated shape...
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0 0 votes
0 0 answers
202
202 views
GATE2015-3-49
A shaft of length $90 \: mm$ has a tapered portion of length $55 \: mm$. The diameter of the taper is $80 \: mm$ at one end and $65 \: mm$ at the other. If the taper is m...
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0 0 votes
0 0 answers
267
267 views
GATE2015-3-48
A cantilever bracket is bolted to a column using three M$12×1.75$ bolts P, Q and R. The value of maximum shear stress developed in the bolt P (in $MPa$) is ________
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0 0 votes
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945
945 views
GATE2015-3-46
For the overhanging beam shown in figure, the magnitude of maximum bending moment (in $kN$-$m$) is ________
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0 0 votes
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329
329 views
GATE2015-3-45
A bullet spins as the shot is fired from a gun. For this purpose, two helical slots as shown in the figure are cut in the barrel. Projections $A$ and $B$ on the bullet en...
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0 0 votes
0 0 answers
291
291 views
GATE2015-3-41
The value of $\int_{C}^{ }[(3x-8y^2)dx+(4y-6xy)dy]$, (where $C$ is the boundary of the region bounded by $x$ = $0$, $y$ = $0$ and $x+y$ = $1$) is ________
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0 0 votes
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250
250 views
GATE2015-3-40
A solid sphere $1$ of radius ‘$r$’ is placed inside a hollow, closed hemispherical surface $2$ of radius ‘$4r$’. The shape factor $F_{2-1}$ is$1/12$$1/2$$2$$12$
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0 0 votes
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202
202 views
GATE2015-3-39
Air in a room is at $35^\circ C$ and $60 \%$ relative humidity (RH). The pressure in the room is $0.1 \: MPa$. The saturation pressure of water at $35^ \circ C$ is $5.63...
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0 0 votes
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264
264 views
GATE2015-3-38
Steam enters a turbine at $30$ bar, $300^\circ C \: (u = 2750 \: kJ/kg$, $h = 2993 \: kJ/kg)$ and exits the turbine as saturated liquid at $15 \: kPa \: (u = 225 \: kJ/kg...
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0 0 votes
0 0 answers
251
251 views
GATE2015-3-37
Refrigerant vapor enters into the compressor of a standard vapor compression cycle at −$10^\circ C \:(h = 402 \: kJ/kg)$ and leaves the compressor at $50^\circ C \: (h = ...
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0 0 votes
0 0 answers
313
313 views
GATE2015-3-36
A Prandtl tube (Pitot-static tube with $C$=$1$) is used to measure the velocity of water. The differential manometer reading is $10$ $mm$ of liquid column with a relative...
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