Recent questions tagged gateme-2018-set1

24 24 votes
4 answers 4 answers
851
851 views
Which of the following functions describe the graph shown in the below figure?$y=\mid \mid x \mid + 1 \mid -2$$y=\mid \mid x \mid - 1 \mid -1$$y=\mid \mid x \mid + 1 \mid...
7 7 votes
4 answers 4 answers
1.0k
1.0k views
Consider the following three statements:Some roses are red.All red flowers fade quickly.some roses fade quickly.Which of the following statements can be logically inferre...
5 5 votes
2 answers 2 answers
684
684 views
From the time the front of a train enters a platform, it takes $25$ seconds for the back of the train to leave the platform, while traveling at a constant speed of $54$ k...
7 7 votes
2 answers 2 answers
581
581 views
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct?$a$ and $b$ are both odd$a$ and $b$ are both even$a$ is even and ...
10 10 votes
1 answers 1 answer
601
601 views
For integers, $a$, $b$ and $c$, what would be the minimum and maximum values respectively of $a+b+c$ if $\log \mid a \mid + \log \mid b \mid + \log \mid c \mid =0$?$\tex...
4 4 votes
2 answers 2 answers
579
579 views
A number consists of two digits. The sum of the digits is $9$. If $45$ is subtracted from the number, its digits are interchanged. What is the number?$63$$72$$81$$90$
7 7 votes
1 answers 1 answer
514
514 views
A rectangle becomes a square when its length and breadth are reduced by $10$ m and $5$ m, respectively. During this process, the rectangle loses $650 m^2$ of area. What i...
11 11 votes
5 answers 5 answers
696
696 views
Seven machines take $7$ minutes to make $7$ identical toys. At the same rate, how many minutes would it take for $100$ machine to make $100$ toys?$1$$7$$100$$700$
2 2 votes
2 answers 2 answers
660
660 views
"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...
5 5 votes
2 answers 2 answers
680
680 views
"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...
0 0 votes
0 0 answers
278
278 views
An electrochemical machining (ECM) is to be used to cut a through hole into a $12$ mm thick aluminum plate. The hole has a rectangular cross-section. $10 \: mm \times 30 ...
0 0 votes
0 0 answers
264
264 views
Block $P$ of mass $2$ kg slides down the surface and has a speed $20 \: m/s$ at the lowest point, $Q$, where the local radius of curvature is $2$ m as shown in the figure...
0 0 votes
0 0 answers
260
260 views
The schematic of an external drum rotating clockwise engaging with a short shoe is shown in the figure. The shoe is mounted at point Y on a rigid lever XYZ hinged at poin...
0 0 votes
0 0 answers
260
260 views
Processing times (including setup times) and due dates for six jobs waiting to be processed at a work centre are given in the table. The average tardiness (in days) using...
0 0 votes
0 0 answers
245
245 views
The minimum value of $3x+5y$ such that$3x+5y \leq 15$$4x+9y \leq 18$$13x+2y \leq 2$$x \geq 0, \: y \geq 0$ is ______
0 0 votes
0 0 answers
430
430 views
A bar is compressed to half to its original length. The magnitude of true strain produced in the deformed bar is __________ (correct to two decimal places)
0 0 votes
0 0 answers
351
351 views
An orthogonal cutting operation is being carried out in which uncut thickness is $0.010$ mm, cutting speed is $130$ m/min, rake angle is $15^{\circ}$ and width of cut is ...
0 0 votes
0 0 answers
270
270 views
The true stress $(\sigma)$ - true strain $(\varepsilon)$ diagram of a strain hardening material is shown in figure. First, there is loading up to point A, i.e., up to str...
0 0 votes
1 1 answer
559
559 views
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...
0 0 votes
0 0 answers
264
264 views
An engine working on air standard Otto cycle is supplied with air at $0.1 MPa$ and $35^{\circ} \: C$. The compression ratio is $8$. The heat supplied is $500 \: kJ/kg \: ...
0 0 votes
0 0 answers
255
255 views
Steam flows through a nozzle at a mess flow rate of $m=0.1 \: kg/s$ with a heat loss of $5 \: kW$. The enthalpies at inlet and exit are $2500 \: kJ/kg$ and $2350 \: kJ/kg...
0 0 votes
0 0 answers
273
273 views
A tank of volume $0.05 \: m^3$ contains a mixture of saturated water and saturated steam at $200 ^{\circ}C$. The mass of the liquid present is $8 \: kg$. The entropy (in...
0 0 votes
0 0 answers
358
358 views
A solid block of $2.0 \: kg$ mass slides steadily at a velocity $V$ along a vertical wall as shown in the figure below. A thin oil film of thickness $h=0.15 \: mm$ provid...
0 0 votes
0 0 answers
607
607 views
A sprinkler shown in the figure rotates about its hinge point in a horizontal plane due to water flow discharged through its two exit nozzles.The total flow rate Q throug...
0 0 votes
0 0 answers
388
388 views
A slider crank mechanism is shown in the figure. At some instant, the crank angle is 45$^{\circ}$ and force of $40$ N is acting towards the left on the slider. The length...
0 0 votes
0 0 answers
248
248 views
A machine of mass $m=200 \: kg$ is supported on two mounts, each of stiffness $k=10 \: kN/m$. The machine is subjected to an external force (in $N$) $F(t) = 50 \cos 5t$. ...
0 0 votes
0 0 answers
217
217 views
A simply supported beam of width $100$ mm, height $200$ mm and length 4 m is carrying a uniformly distributed load of intensity $10 \: kN/m$. The maximum bending stress (...
0 0 votes
0 0 answers
258
258 views
$F(s)$ is the Laplace transform of the function $f(t) =2t^2 e^{-t}$. $F(1)$ is _______ (correct to two decimal places).
0 0 votes
0 0 answers
294
294 views
An explicit forward Euler method is used to numerically integrate the differential equation $\dfrac{dy}{dt} = y$ using a time step of $0.1$. With the initial condition $y...
0 0 votes
0 0 answers
298
298 views
The percentage scrap in a sheet metal blanking operation of a continuous strip of sheet metal as shown in the figure is _______ (correct to two decimal places)