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Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Mechanical Engineering MCQ


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30 Questions MCQ Test - Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test)

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) below.
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Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 1

Directions:

Q. No. 1 - 5 Carry One Mark Each

Q.

If you choose plan P, you will have to _______ plan Q, as these two are mutually _________.

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 2

P looks at Q while Q looks at R. P is married, R is not. The number of people in which a married person is looking at an unmarried person is

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Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 3

If a and b are integers and a – b is even, which of the following must always be even?

Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 3

According to the given relation of a–b = even, there is a possibility of odd-odd (or) even-even is equal to even. From the options, Option (D) is correct. Since, odd x odd–odd (or) even x even–even → is always even number.

Alternate Method: Let a – b =2K ⇒ a = b + 2K
ab-b = (b + 2K) b-b = b2 + 2Kb -b = b2 -b + 2Kb = b b -1)+ 2Kb

Even; since 2Kb always even & b (b-1) also even, if with b is odd or even. 

 

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 4

The property of a material which enables it to resist fracture due to high impact loads is known as

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 5

The ways in which this game can be played __________ potentially infinite.

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 6

Directions:

Q. No. 6- 10 Carry Two Marks Each

Q.

“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 mutually antagonistic parts and the effects this mutilation will have in the respective sections, and ultimately on Asia, you will not find it in these pages; for though I have spent a lifetime in the country, I lived too near the seat of events, and was too intimately associated with the actors, to get the perspective needed for the impartial recording of these matters.”

Which of the following closest in meaning to „cleaving‟?

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 7

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 with Z, and Y must necessarily be paired with someone. In how many ways can 4 such pairs be formed?

Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 7

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 8

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°C) and a month in summer (average temperature 30°C).

Consider the following statements based on the data shown above:

(i) Over the given months, the difference between the maximum and the minimum pollutant concentrations is the same in both winter and summer.

(ii) There are at last four days in the summer month such that the pollutant concentrations on those days are within 1 ppm of the pollutant concentrations on the corresponding days in the winter month.Which one of the following options is correct?

Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 8

The difference between the maximum and the minimum pollutant concentrations

(i) in winter = 8-0=8 ppm,

(ii) in summer = 10.5-1.5=9 ppm

∴ (i) is false & (ii) is correct from the graph.

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 9

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 “Both of us are knights”. Q says “None of us are knaves”.Which one of the following can be logically inferred from the above?

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 10

X bullocks and Y tractors take 8 days to plough a field. If we halve the number of bullocks and double the number of tractors, it takes 5days to plough the same field. How many days will it take X bullocks alone to plough the field?

Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 10

Given Number of days required that X bullocks and Y tractors to plough a field = 8 days → (1) ( i.e, X + Y → 8D ⇒8X + 8Y → 1day )  

Number of days required that X/2 bullocks and 2 y tractors to plough field = 5→(2)

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 11

Directions:

Q. No. 11 to 35 Carry One Mark Each

Q.

A mass m of a perfect gas at pressure p1 and volume V1 undergoes an isothermal process. The final pressure is p2 and volume is V2. The work done on the system is considered positive. If R is the gas constant and T is the temperature, then the work done in the process is 

Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 11

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 12

Which one of the following statements is TRUE for the ultrasonic machining (USM) process?

*Answer can only contain numeric values
Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 13

The standard deviation of linear dimensions P and Q are 3 mm and 4 mm, respectively. When assembled, the standard deviation (in mm ) of the resulting linear dimension (P+Q) is ________


Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 13

Given that Standard deviate of P is 3 μm ⇒ Variance of P is 9 μm

Standard deviation of Q is 4 μm ⇒ Variance of Q is 16 μm

Variance of P + Q = Var (P+Q) = Variance P + Variance Q

= 9 + 16= 25

∴standard deviation of P + Q =

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 14

The emissive power of a blackbody is P. If its absolute temperature is doubled, the emissive power becomes.

Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 14

Emissive power of black body (Eb) =σT4

Given (Eb)1=P =σT4

now T → 2T

(Eb)2 =(σ2T)4 = 16σT4 ⇒ (Eb)2 =16P

*Answer can only contain numeric values
Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 15

The state of stress at a point is σxy =σz = τxz = τzxzy = τyz and τxy = τyx =50MPa.

The maximum normal stress (in MPa) at that point is _________


Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 15

It is a pure torsion case in 2D

   

so maximum Normal stress σ1 = 50MPa

*Answer can only contain numeric values
Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 16

The determinant of a 2×2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigenvalue is ___________ 


Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 16

Given that det of 2×2 Matrix is 50 and are Eigen Value is 10.

⇒ Other Eigen value is 5 (∴  det= product of eigenvalues )

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 17

Which one of the following statement is TRUE?

*Answer can only contain numeric values
Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 18

Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is ____________


Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 18

Total No of outcomes when two coins are tossed is 4 and sample space

S = { HH, HT, TH, TT }

Favorable out comes for existence of at least one head are HH, HT, TH. 

Required probability = 3/4 = 0.75

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 19

A cantilever beam of length L and flexural modulus EI is subjected to a point load P at the free end. The elastic strain energy stored in the beam due to bending (neglecting transverse shear) 

Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 19

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 20

It is desired to make a product having T-shaped cross-section from a rectangular aluminium block. Which one of the following processes is expected to provide the highest strength of the product?

*Answer can only contain numeric values
Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 21

The heat loss from a fin is 6W. The effectiveness and efficiency of the fin are 3 and 0.75, respectively. The heat loss (in W) from the fin, keeping the entire fin surface at base temperature, is __________.


Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 21

Given Qloss = 6W

ε = 3, η = 0.75

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 22

For a single server with Poisson arrival and exponential service time, the arrival rate is 12 per hour. Which one of the following service rates will provide a steady state finite queue length?

Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 22

λ = 12/ hour

For steady state finite queue length

μ > λ

So, μ = 24/hour

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 23

For the stability of a floating body the

Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 23

Stability of floating body is measure with the help of Meta center.
Floating body to be stable, Meta center must be above C.G

For stability MG > 0

*Answer can only contain numeric values
Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 24

The divergence of the vector -yi+ xj __________


Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 24

*Answer can only contain numeric values
Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 25

For a loaded cantilever beam of uniform cross-section, the bending moment (in N.mm) along the length is M(x) = 5x2+10x, where x is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at x =10 mm is ________.


Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 25

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 26

A sample of 15 data is a follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of the data is

Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 26

We know that mode is the value of the data which occurred most of 

∴ 17 is mode

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 27

If a mass of moist air contained in a closed metallic vessel is heated, then its 

Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 27

Given that mass of moist air contained in a closed metallic vessel is heated, means its specific humidity (ω) is constant.
So, from the psychometric chart

We can say that at constant specific humidity, as temperature increases relative humidity decreases i.e.,

Ø2 < Ø1 So, Answer is (A)

*Answer can only contain numeric values
Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 28

In a slider-crank mechanism, the lengths of the crank and the connecting rod are 100mm and 160mm, respectively. The crank is rotating with an angular velocity of 10 radian/s counterclockwise. The magnitude of linear velocity (in m/s) of the piston at the instant corresponding to the configuration shown in the figure is ___________

 

 


Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 28

 

*Answer can only contain numeric values
Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 29

A machine component made of a ductile material is subjected to a variable loading with 
σmin = -50 MPa and σmax = 50 MPa. If the corrected endurance limit and the yield strength for the material are σe= 100 MPa and σy = 300MPa, the factor of safety is __________


Detailed Solution for Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 29

σmax = 50MPa

σmin = -50MPa

σ = 300MPa

σe = 100MPa

Mechanical Engineering (Set-2) - ME 2017 GATE Paper (Practice Test) - Question 30

The crystal structure of aluminium is

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