Recent questions tagged gateme-2017-set2

2 2 votes
1 answers 1 answer
504
504 views
"If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutu...
2 2 votes
2 answers 2 answers
509
509 views
If you choose plan $P$, you will have to _________ plan $Q$, as these two are mutually ________.forgot, exclusiveforget, inclusiveaccept, exhaustiveadopt, intrusive
5 5 votes
1 answers 1 answer
743
743 views
The ways in which this game can be played _________ potentially infinite.isis beingareare being
13 13 votes
3 answers 3 answers
839
839 views
All people in a certain island are either 'Knights' or 'Knaves' and each person knows every other person's identity. Knights never lie, and Knaves ALWAYS lie.$P$ says "Bo...
17 17 votes
4 answers 4 answers
1.0k
1.0k views
There are $4$ women $P, Q, R, S$ and $5$ men $V, W, X, Y, Z$ in a group. We are required to form pairs each consisting of one woman and one man. $P$ is not to be paired w...
8 8 votes
4 answers 4 answers
1.2k
1.2k views
$X$ 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...
6 6 votes
3 answers 3 answers
949
949 views
$P$ looks at $Q$ while $Q$ looks at $R$. $P$ is married, $R$ is not. The number of pairs of people in which a married person is looking at an unmarried person is $0$$1$$2...
5 5 votes
2 answers 2 answers
542
542 views
A couple has $2$ children. The probability that both children are boys if the older one is a boy is$1/4$$1/3$$1/2$$1$
6 6 votes
4 answers 4 answers
540
540 views
If $a$ and $b$ are integers and $a-b$ is even, which of the following must always be even?$ab$$a^{2}+b^{2}+1$$a^{2}+b+1$$ab-b$
3 3 votes
2 answers 2 answers
1.2k
1.2k views
In the graph below, the concentration of a particular pollutant in a lake is plotted over (alternate) days of a month in winter (average temperature $10^{\circ} C$) and a...
0 0 votes
0 0 answers
360
360 views
Maximise $Z=5x_{1}+3x_{2}$subject to$\begin{array}{} x_{1}+2x_{2} \leq 10, \\ x_{1}-x_{2} \leq 8, \\ x_{1}, x_{2} \geq 0 \end{array}$In the starting Simplex tableau, $...
0 0 votes
0 0 answers
286
286 views
In an orthogonal machining with a tool of $9^{\circ}$ orthogonal rake angle, the uncut chip thickness is $0.2$ mm. The chip thickness fluctuates between $0.25$ mm and $0....
0 0 votes
0 0 answers
289
289 views
During the turning of a $20$ mm- diameter steel bar at a spindle speed of $400$ rpm, a tool life of $20$ minute is obtained. When the same bar is turned at $200$ rpm, the...
0 0 votes
0 0 answers
643
643 views
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, u...
0 0 votes
0 0 answers
413
413 views
A strip of $120$ mm width and $8$ mm thickness is rolled between two $300$ mm-diameter rolls to get a strip of $120$ mm width and $7.2$ mm thickness. The speed of the str...
1 1 vote
1 answers 1 answer
642
642 views
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...
0 0 votes
0 0 answers
372
372 views
A project starts with activity $A$ and ends with activity $F$. The precedence relation and durations of the activities are as per the following table:$$\begin{array}{|l|l...
0 0 votes
0 0 answers
531
531 views
A product made in two factories, $P$ and $Q$, is transported to two destinations, $R$ and $S$. The per unit costs of transportation (in Rupees) from factories to destinat...
0 0 votes
0 0 answers
398
398 views
A metal ball of diameter $60$ mm is initially at $220^{\circ}$ C. The ball is suddenly cooled by an air jet of $20^{\circ}$ C. The heat transfer coefficient is $200 W/m^{...
0 0 votes
0 0 answers
346
346 views
In a counter-flow heat exchanger, water is heated at the rate of $1.5 \: kg/s$ from $40^{\circ}$ C to $80^{\circ} \: C$ by an oil entering at $120^{\circ}$ C and leaving ...
0 0 votes
0 0 answers
302
302 views
The volume and temperature of air (assumed to be an ideal gas) in a closed vessel is $2.87 m^{3}$ and $300 \: K$, respectively. The gauge pressure indicated by a manomete...
0 0 votes
0 0 answers
487
487 views
A calorically perfect gas (specific heat at constant pressure $1000 \: J/kg .K$) enters and leaves a gas turbine with the same velocity. The temperatures of the gas at tu...
0 0 votes
0 0 answers
304
304 views
In the Rankine cycle for a steam power plant, the turbine entry and exit enthalpies are $2803 \: kJ/kg$ and $1800 \: kJ/kg$, respectively. The enthalpies of water at pump...
0 0 votes
0 0 answers
297
297 views
One kg of an ideal gas (gas constant $R= 287\: J/kg.K$) undergoes an irreversible process from state-$1$ ($1$ bar, $300 \: K$) to state-$2$ ($2$ bar, $300\: K$). The chan...
0 0 votes
0 0 answers
303
303 views
For the laminar flow of water over a sphere, the drag coefficient $C_{F}$ is defined as $C_{F}=F/(\rho U^{2} D^{2})$, where $F$ is the drag force, $\rho$ is the fluid den...
0 0 votes
0 0 answers
714
714 views
A $60$ mm-diameter water jet strikes a plate containing a hole of $40$ mm diameter as shown in the figure. Part of the jet passes through the hole horizontally and the re...
0 0 votes
0 0 answers
485
485 views
The arrangement shown in the figure measures the velocity $V$ of a gas of density $1 kg/m^{3}$ flowing through a pipe. The acceleration due to gravity is $9.81 m/s^{2}$. ...
0 0 votes
0 0 answers
308
308 views
The rod $PQ$ of length $L=\sqrt{2}$ m, and uniformly distributed mass of $M=10$ kg, is released from rest at the position shown in the figure. The ends slide along the fr...
0 0 votes
0 0 answers
321
321 views
The principal stresses at a point in a critical section of a machine component are $\sigma _{1}=60$ MPa, $\sigma _{2}=5$ MPa and $\sigma _{3}=-40$ MPa. For the material o...
0 0 votes
0 0 answers
418
418 views
A single-plate clutch has a friction disc with inner and outer radii of $20$ mm and $40$ mm, respectively. The friction lining in the disc is made in such a way that the ...