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Recent questions tagged gateme-2018-set2

7 7 votes
2 answers 2 answers
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GATE Mechanical 2018 Set 2 | GA | Question: 10
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 fo...
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6 6 votes
6 answers 6 answers
1.2k
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GATE Mechanical 2018 Set 2 | GA | Question: 9
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...
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12 12 votes
4 answers 4 answers
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GATE Mechanical 2018 Set 2 | GA | Question: 8
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, five-seventh of the work was c...
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5 5 votes
3 answers 3 answers
520
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GATE Mechanical 2018 Set 2 | GA | Question: 7
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 lo...
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13 13 votes
1 answers 1 answer
911
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GATE Mechanical 2018 Set 2 | GA | Question: 5
The value of the expression $\dfrac{1}{1+ \log_u \: vw} + \dfrac{1}{1+ \log_v \: wu} + \dfrac{1}{1+\log_w uv}$ is _______$-1$$0$$1$$3$
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4 4 votes
4 answers 4 answers
1.3k
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GATE Mechanical 2018 Set 2 | GA | Question: 6
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 fi...
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1 1 vote
2 answers 2 answers
741
741 views
GATE Mechanical 2018 Set 2 | GA | Question: 2
" 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 senten...
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2 2 votes
3 answers 3 answers
1.2k
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GATE Mechanical 2018 Set 2 | GA | Question: 1
"The dress ______ her so well that they all immediately _______ her on her appearance."The words that best fill the blanks in the above sentence arecomplemented, compleme...
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5 5 votes
3 answers 3 answers
883
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GATE Mechanical 2018 Set 2 | GA | Question: 4
The perimeters of a circle, a square, and an equilateral triangle are equal. Which one of the following statements is true?The circle has the largest areaThe square has t...
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7 7 votes
4 answers 4 answers
954
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GATE Mechanical 2018 Set 2 | GA | Question: 3
Find the missing group of letters in the following series:BC, FCH, LMNO, ______UVWXYTUVWXSTUVWRSTUV
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0 0 votes
0 0 answers
293
293 views
GATE2018-2-55
A vehicle powered by a spark ignition engine follows air standard Otto cycle ($\gamma =1.4$). The engine generates $70$ kW while consuming $10.3$ kg/hr of fuel. The calor...
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0 0 votes
0 0 answers
305
305 views
GATE2018-2-54
Steam in the condenser of a thermal power plant is to be condensed at a temperature of $30^{\circ}C$ with cooling water which enters the tubes of the condenser at $14^{\c...
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0 0 votes
0 0 answers
304
304 views
GATE2018-2-53
A welding operation is being performed with voltage $= 30 \: V$ and current =$100 \: A$. The cross-sectional area of the weld bead is $20 \: mm^2$. The work-piece and fil...
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0 0 votes
0 0 answers
278
278 views
GATE2018-2-52
A circular hole of $25 \: mm$ diameter and depth of $20 \: mm$ is machined by EDM process. The material removal rate (in $mm^3/min$) is expressed as $$ 4 \times 10^4 \: I...
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1 1 vote
0 0 answers
457
457 views
GATE2018-2-51
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 __________
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0 0 votes
0 0 answers
372
372 views
GATE2018-2-50
For sand-casting a steel rectangular plate with dimensions $80 \: mm \times 120 \: mm \times 20 \: mm$, a cylindrical riser has to be designed. The height of the riser is...
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0 0 votes
0 0 answers
266
266 views
GATE2018-2-49
Taylor's tool life equation is used to estimate the life of a batch of identical HSS twist drills by drilling through holes at constant feed in $20 \: mm$ thick mild stee...
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0 0 votes
0 0 answers
247
247 views
GATE2018-2-48
Following data correspond to an orthogonal turning of a $100 \: mm $ diameter rod on a lathe. Rake angle:$+15^{\circ}$; Uncut chip thickness: $0.5 mm$; nominal chip thick...
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0 0 votes
0 0 answers
236
236 views
GATE2018-2-47
A steel wire is drawn from an initial diameter $(d_i$) of $10 \: mm$ to a final diameter ($d_f$) of the $7.5 \: mm$. The half cone angle ($\alpha$) of the die is $5^{\cir...
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0 0 votes
0 0 answers
246
246 views
GATE2018-2-46
The true stress (in MPa) versus true strain relationship for a metal is given by $$\sigma=1020 \varepsilon^{0.4}$$. The cross sectional-area at the start of the test (whe...
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0 0 votes
0 0 answers
256
256 views
GATE2018-2-45
A test is conducted on a one-fifth scale model of a Francis turbine under a head of $2 \: m$ and volumetric flow rate of $1 \: m^3/s$ at $450 \: rpm$. Take the water dens...
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0 0 votes
0 0 answers
253
253 views
GATE2018-2-44
Ambient air is at a pressure of $100 \: kPa$, dry bulb temperature at $30^{\circ} C$ and $60 \%$ relative humidity. The saturation pressure of water at $30^{\circ} C$ id ...
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0 0 votes
0 0 answers
345
345 views
GATE2018-2-43
A standard vapor compression refrigeration cycle operating with a condensing temperature of $35^{\circ}C$ and an evaporating temperature of $-10^{\circ}C$ develops $15 \:...
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0 0 votes
0 0 answers
501
501 views
GATE2018-2-42
Air is held inside a non-insulated cylinder using a piston (mass $M=25 \: kg$ and area $A=100 \: cm^2$) and stoppers (of negligible area), as shown in the figure. The ini...
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0 0 votes
0 0 answers
359
359 views
GATE2018-2-41
A $0.2 \:m$ thick infinite black plate having a thermal conductivity of $3.96 \: W/m-K$ is exposed to two infinite black surfaces at $300 \: K$ and $400 \: K$ as shown in...
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0 0 votes
0 0 answers
625
625 views
GATE2018-2-40
A frictionless circular piston of area $10^{-2} \: m^2$ and mass $100 \: kg$ sinks into a cylindrical container of the same area filled with water of density $1000 \: kg/...
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0 0 votes
0 0 answers
269
269 views
GATE2018-2-39
A force of $100 \: N$ applied to the centre of a circular disc, of mass $10 \: kg$ and radius $1 \: m$, resting on a floor as shown in the figure. If the disc rolls witho...
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0 0 votes
0 0 answers
256
256 views
GATE2018-2-35
The problem of maximizing $z=x_1-x_2$ subject to constraints $x_1+x_2 \leq 10, \: x_1 \geq 0, x_2 \geq 0$ and $x_2 \leq 5$ hasno solutionone solutiontwo solutionsmore tha...
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0 0 votes
0 0 answers
279
279 views
GATE2018-2-36
Given the ordinary differential equation $$\dfrac{d^2y}{dx^2}+\dfrac{dy}{dx}-6y=0$$ with $y(0)=0$ and $\dfrac{dy}{dx}(0)=1$, the value of $y(1)$ is __________ (correct to...
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0 0 votes
0 0 answers
444
444 views
GATE2018-2-38
A bar is subjected to a combination of a steady load of $60 \: kN$ and a load fluctuating between $-10 \: kN$ and $90 \: kN$. The corrected endurance limit of the bar is ...
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