ANALYSIS OF GATE 2018*(Memory Based) Mechanical...

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GATE-2018 ME-Set-1

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ANALYSIS OF GATE 2018*(Memory Based)

Mechanical Engineering

Engineering Mathematics

14%

Engineering Mechanics

4%

Mechanics of Materials

14%

Theory Of Machines

7%

Machine Design 5%

Fluid Mechanics 11%

Heat Transfer 2%

Thermodynamics 10%

Manufacturing Engineering

14%

Industrial Engineering

4%

General Aptitude 15%

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GATE-2018 ME-Set-1


ME ANALYSIS-2018_3-Feb_Morning

SUBJECT No. of Ques. Topics Asked in Paper(Memory Based) Level of

Ques. Total Marks

Engineering

Mathematics

1 Marks: 6

2 Marks: 4

Mean Value Theorem; Probability , Euler’s Method, Rank, Analytic Function, Laplace

Transform Easy 14

Engineering

Mechanics

1 Marks: 0

2 Marks: 2 Slider Crank Mechanism, Collision Medium 4

Mechanics of

Materials

1 Marks: 4

2 Marks: 5 Simple Stress Strains, Analysis of Shear

Stress, Stress in Beams, Plain Stress Medium 14

Theory Of

Machines

1 Marks: 3

2 Marks: 2 Gear Strain Medium 7

Machine Design 1 Marks: 1

2 Marks: 2 Bearing Capacity, Breaks Easy 5

Fluid Mechanics 1 Marks: 3

2 Marks: 4 Peloton Wheels, Medium 11

Heat Transfer 1 Marks: 0

2 Marks: 1 Conduction, Easy 2

Thermodynamics 1 Marks: 2

2 Marks: 4 Entropy, IC Engines, Steady Flow Energy

Equation Medium 10

Manufacturing

Engineering

1 Marks: 6

2 Marks: 4 ECM, Sheet Metal, Metal cutting Tough 14

Industrial

Engineering

1 Marks: 0

2 Marks: 2 Linear Program Medium 4

General Aptitude 1 Marks: 5

2 Marks: 5 Geometry, TSD, Functions, Grammar,

Numbers, Work, inference Easy 15

Total 65 100

Faculty Feedback

Majority of the question were concept based. General Aptitude And

Mathematics is Very Easy. Core Subject Questions were 50% easy, 30%

medium and 20% tough.

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GATE-2018 ME-Set-1


General Aptitude

GATE 2018 Examination* (Memory Based)

Mechanical Engineering

Test Date: 3-FEB-2018

Test Time: 9:00 AM 12:00 PM

Subject Name: Mechanical Engineering

General Aptitude

Q.1 - Q.5 Carry One Mark each.

1. Her_____________ should not be confused with miserliness because she is ever willing to

assist those in need.

(A) Cleanliness (B) Punctuality

(C) Frugality (D) Greatness

[Ans. C]

2. Going by the __________ that many hands make light work, the school __________ involved all

the students in the task

(A) Principle , Principal

[Ans. A]

3. Find function of following graph

(A) ||x| | (B) ||x| |

(C) ||x| | (D) ||x | |

[Ans. B]

4. If by decreasing length of rectangle by 10 m and breath by 5 m it becomes a square .The

area lost from rectangle is 650 m ind the area of original rectangle?

(A) 1125 (B) 2250

(C) 2924 (D) 4500

[Ans. B]

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GATE-2018 ME-Set-1


5. 7 machines take 7 min to make 7 identical toys. At the same rate how many minutes would

it take for 100 machines to make 100 toys?

(A) 1 (B) 7

(C) 100 (D) 700

[Ans. B]

Q.6 - Q.10 Carry Two Mark each.

6. If a and b are integers and a a b is odd then

(A) a and b odd (B) a and b even

(C) a even b odd (D) a odd b even

[Ans. D]

7. From the time, the front of a train enters a platform it take 25 sec for back of the train to

leave the platform, if train is travelling at 54 km/hr. At the same speed it takes 14 sec to

pass a man running at 9 km/h in same direction of the train. Length of train and platform

in m is?

(A) 175 and 200 (B) 210 and 140

(C) 162.5 and 187.5 (D) 245 and 130

[Ans. A]

8. For integers a, b, c, minimum and maximum of a b c

f log |a| log |b| log |c|

(A) and (B) and

(C) and (D) and

[Ans. A]

9. A number consists of 2 digits, the sum of digits is 9. If 45 is subtracted from the number its

digits are interchange. What is the number?

(A) 63 (B) 72

(C) 81 (D) 90

[Ans. B]

10. 1. Some roses are red

2. All red flower fade quickly

3. Some roses fade quickly

(A) f statement ① is true and statement ② is false then statement ③ is false

(B) f Statement ① true statement ② false then statement ③ is true

(C) f Statement ① true statement ② true the statement ③ true

(D) f Statement ① false statement ② false the statement ③ false statement

[Ans. C]

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GATE-2018 ME-Set-1


Technical

1. [

] .Find rank of A

(A) 1 (B) 2

(C) 3 (D) 4

[Ans. B]

2. F(z) is a function of z and z x iy then

(z) iz eal part (z) i imaginary part of (z)

What is the value of k? F (z) satisfies equations

(A) 0 (B) 1

(C) – (D) 4

[Ans. B]

3. Consider the function F(x) which is continuous in (a, b) there exists [a, b] such that

∫ f(x)

dx is __________

(A) f( )(b a) (B) f(b)( a)

(C) f(a)(b ) (D) 0

[Ans. A]

4. An explicit forward euler method is used to numerically solve differential equation

y

using time step of 0.1 with initial condition y( ) , y( ) computed by this method is

__________

[Ans. *]Range: 2.55 to 2.65

5. ∯

r̅ n̂ ds over the closed surface ‘S’ bounding the volume ‘V’ where r x ̂ y ̂ z ̂ is

the position vector

(A) 1V (B) 2V

(C) 3V (D) 4V

[Ans. C]

6. Let x , x be two normal random (independent) variables with means , and standard

deviation , , consider y x x is random variable then _________ (given that

, , )

(A) Y is normal distributed random variable with mean=0, variance=1

(B) Y is normal distributed random variable with mean=0, variance=5

(C) Y is not normal distributed random variable with mean =0, variance =1

(D) Y is not normal distributed random variable with mean=0, variance =5

[Ans. B]

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GATE-2018 ME-Set-1


7. A six faced fair dice is rolled 5 times then percentage probability of obtaining ‘ ’ at least

times is

(A) 33 (B) 3.33

(C) 0.33 (D) 0.0033

[Ans. C]

8. A box contains 4 Red, 4 Green, 4 Black balls, 3 balls are pulled out of the box at random

one after another without replacement. Probability of getting all 3 balls is red.

( )

( )

( )

( )

[Ans. B]

9. F(s) is the L.T of f(t) t e then find ( )

[Ans. *] 0.5

10. In a slider crank mechanism, crank is of length 30 mm and connecting rod is of length 70

mm. At the instant when crank is making with the line of reciprocation of slider what

will be the turning moment (N-m) on crank if a force of 40 kN is applied on the slider as

shown?

[Ans. *] 1118.33

11. A mass 200 kg is supported with two springs of stiffness k=10 kN/m and subjected to a

harmonic force (t) cos t Find the magnitude of dynamic force transmitted

from each mounting to the ground

[Ans. *] 33.33 kN

m

F(t)

mm

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GATE-2018 ME-Set-1


12. For minimum Value of 3x+5y

So that

3x+5y 15,

4x+9y 8;

13x+2y 2;

x 0;

y 0.

[Ans. *] 0

13. Below is figure shown what the name of weld based on shaded region is.

(A) Fillet weld (B) Groove weld

(C) Spot weld (D) Plug weld

[Ans. A]

14. A block of mass 2 kg is sliding along a curved surface from P. At point Q, it’s velocity is

20m/s and radius of curvature is 2 m. What will be the normal force acting block at

Q?(Ta e g m s )

[Ans. *] 420

15. A rigid bar of weight 100 N and length L is supported to a fix support with the help of two

inextensible strings S and S . At equilibrium, what is the magnitude of tension developed

in strings T and T ?

(A) 100 N, 0 N

(B) 0 N, 100 N

[Ans. B]

T

S

T

S

m

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GATE-2018 ME-Set-1


16. A point mass is shooted vertically upward with a gun and initial velocity 4 m/sat t = 0. It

comes back to ground and rebound but 20% of the velocity is lost in rebounding. If the

final velocity comes to zero then how much time it will take?(Ta e g m s )

(A) 1 (B) 2

(C) 4 (D)

[Ans. C]

17. A steel column of rectangular cross-section is simply supported at ends. Length of the

column is 1.5 m and cross section dimensions are mm mm. Modulus of elasticity is

200 GPa. The critical load (in kN) which the column can carry is__________kN.

[Ans. *]1.09

18. A bar is compressed up to half of its original length. The magnitude of true strain produced

in cylinder is__________?

[Ans. *]

19. If and are maximum and minimum values of principle stresses algebraically then the

maximum value of shear stress is?

(A)

(B) √

(C) (

) (D) √

[Ans. A]

20. True stress( ) Vs True strain ( ) curve is shown in figure when material is loaded up to A.

At A stress is 500 MPa and strain is 0.5. Then material is unloaded up to B, what will be the

strain at B if stress at B is 100 MPa, young’s modulus of material is 200 GPa.

[Ans. *] 0.498

MPa

MPa

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GATE-2018 ME-Set-1


21. Two wooden pieces are attached as shown in figure below. Their attached with figure so

the angle ( ) is given in the diagram is 30 and the whole assembly experience 10 in

tensile stress of 4 MPa.

1. Maximum tensile stress glue can take 2.5 MPa

2. Shear stress glue can take 1.5 MPa

Assume that failure will be happen in glue not in wood?

(A) It fails by to tensile stress not shear stress

(B) It fails by shear stress not tensile?

(C) Fails by both of them

(D) Fail by none of them

[Ans. C]

22. A block of mass 2 kg slides down steadily against a vertical wall. A very thin oil layer of

thickness 0.15mm acts as a lubricant between the block and the wall. The thickness of oil

layer is 0.15 mm.

If the interface area of block is m , the dynamic viscosity of oil is Pa-sec.

Find out the terminal velocity of the block. Take g = 10 .

Assume the velocity profile developed in oil layer due to sliding of block to be linear.

[Ans. *]10.714 m/s

23. An engine operates on otto cycle with initial supply of air at 0.1 MPa and .

The compression ratio of cycle is 8 and heat supplied is 500 kJ/kg.

What is the maximum temperature for the cycle?

[Ans. *] 1085

il

g

h mm

MPa MPa

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GATE-2018 ME-Set-1


24. A simply supported beam of 4 m length is carrying uniformly distributed load of 10 kN/m

load intensity. It’s cross section area is rectangular with dimensions mm width and

200 mm depth. The maximum bending stress developed in beam is _________MPa

[Ans. *] 29 to 31

25. For a given state of stress, Pa, Pa and minimum principle stress is

10 kPa. What is (in kPa).

[Ans. *] 37.78 kPa

26. Find out % Scrap in the blanking operation shown below__________

[Ans. *] 53.3

27. The wire diameter of a helical compression spring is increased by 2%. Find out % change

in stiffness.

[Ans. *] 8.243

28. For the simply supported beams of length 4 m is uniformly distributed load of an intensely

10 kN/m s applied. Calculate the maximum value of bending stress (MPa) if width of beam

is 100 mm and height is 200 mm.

[Ans. *] 30

29. If a self-aligning ball bearing is having a basic load rating of 35 kN and equivalent bearing

load of 45 kN the expected rating life in number of million revolution will be

(A) <0.5 (B) 0.5 to 0.5

(C) (D)

[Ans. A]

eed

⁄

⁄

Pa

Pa Pa

m

W m

mm

mm

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GATE-2018 ME-Set-1


30. Which of the statement is correct regarding Oldham coupling?

(A) Torsional load is transferred along shaft axis

(B) Velocity ratio of 1 :2 between shafts occurs even after absence of gear.

(C) Bending load is transferred perpendicular to shaft.

(D) Rotational movement is transferred along shafts

[Ans. A]

31. For cold wire drawing of steel reduction e ( )

For perfectly plastic material maximum value of R is?

(A) (B)

(C) (D) 0.632

[Ans. D]

32. The P face of a 20 cm thick wale is in contact with a fluid having ambient temperature 45

and coefficient of convection h = h m ⁄ . The thermal conductivity of the wall is 2.5

w/m-k. what is the temperature of A fall of the wall?

[Ans.*] 33.88

33. For the metal cutting operation if

Uncut chip thickness = 0.01 mm t

Cutting velocity = 130 m/min

Rake angle = 15

Width of cut = 6 mm

Chip thickness = 0.015 mm t

Cutting force = 60 N

Thrust force = 25 N

Then ratio of frictional energy to total energy is equal to ?

[Ans. *] We Will update soon

w m

h

T

P

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GATE-2018 ME-Set-1


34. For the following brake, the magnitude of braking torque (Nm) is equal to?

The coefficient of friction between drum and shoe is 0.3?

[Ans. *] 8.13 Nm

35. Interpolator in CNC

(A) Controls spindle speed (B) Coordinate axis moments

(C) Operator full exchange (D) Commands connected cycle

[Ans. B]

36. As shown in the figure, an open container of height 1 m is completely filled with water.

There is a hole at a depth of 0.5m from the top. What is the value of x, where the jet from

the hole strikes the ground. Calculate x in m.

[Ans.*] 1

37. In a linearly hardening plastic material, true stress beyond initial yielding

(A) Increases linear with true strain

(B) Decreasing linear with true strain

(C) First increase linearly then decrease linearly

(D) Remain constant

[Ans. D]

38. For (z) iz e(z) i m(z). If F(z) satisfies Cauchy-Riemann equation k = ?

(A) 0 (B) 1

(C) (D) y


x

Water

ole

m

get of water

ontainer

m

mm

mm

mm

mm

m

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GATE-2018 ME-Set-1


39. The flow conditions for steady state flow through a nozzle are as shown below .

If the nozzle is non-insulted and rate of heat loss from fluid to surroundings through

nozzle is 5 kW, what is the exit velocity ?

[Ans. *] 141.42 m/sec

40. Which of these statements is correct in context of superheated vapours?

(A) t’s pressure is less than saturation pressure for a given temperature.

(B) t’s temperature is less than saturation temperature for given pressure.

(C) t’s volume is less than volume of saturated vapour at given temperature

(D) t’s enthalpy is less than the enthalpy of saturated vapours for a given pressure.

[Ans. A]

41. A gas expands from initial state p1 =100 kPa, T ) to a final state

(T , P Pa).

The specific heats for the gas are given as:

=1kJ/Kg

=0.7KJ/Kg K

What is the change in entropy of the gas in kJ/kg-k.

[Ans. *] 0.363

42. A tank of volume m contains a mixture of saturated water and saturated vapour. In

the mixture, the mass of liquid is 8 kg. What is the entropy of the mixture in kJ/kg,if the

temperature of mixture is

Given that T

p MPa

v m g

v m g

S g

S g

[Ans. *] 3.502

h g

h g

msec

ozzle

nlet

W

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GATE-2018 ME-Set-1


43. A sprinkler rotates about hinge O in horizontal plane as shown in the figure. The discharge

to the sprinkle is uniformly distributed to the two limbs

If the flow rate at inlet of sprinkles is 1 lt/sec and nozzle area at axis is cm . What is the

steady state angular velocity assuming frictionless hinge


44. Lagrangian approach. Based on lagrangion description, the position of a fluid particle is

given as x x e and y y e

. Where x,y are position coordinates in m t is time in Scc

and x , y , b are constant. The flow is

(A) Steady 1D (B) Unsteady 1D

(C) Steady 2D (D) Unsteady 2D

[Ans. C]

45. A flow field is described by V⃗⃗ (x ̂ y ̂) Where A>0. Which of the following statements

is incorrect

(A) The flow field follows continuity equation

(B) Flow is Irrotational

(C) Equation of streamline is x=y

(D) f x , y , the flow becomes uni-directional

[Ans. C]

46. A sine bar of 125 mm is used for a taper of 27 ’ height (mm) is _________


47. n the Taylor’s tool life formula n of cutting velocity is decresed by 50%, the ratio of

new tool life to original tool lie is?

[Ans. *] 4

48. Number of atoms per unti cell and number of slip systems in FCC are?


49. A four bar mechanism has links of length 100 mm, 200 mm, 300 mm, and 350 mm. If 350

mm link is fixed, number of links that can fully rotate are?

[Ans. *] 1 Since it is crank rocks mechanism

50. For Pelton wheel for maximum power ratio of locket speed to water jet speed is?

[Ans. *] 0.5

cm cm

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GATE-2018 ME-Set-1


51. Which of the statements is correct in context of super-heated vapour?

(A) Its pressure is less than saturation pressure for a given temperature

(B) Its temperature is less than saturation temperature for given pressure

(C) Its volume is less than volume of saturated vapour at given temperature

(D) Its enthalpy is less than he enthalpy of saturated vapour for a given pressure

[Ans. A]

52. An incompressible fluid is entrapped between a moving plate and a solid wall as shown

If plate is rectangular and large and is moving down with a speed of 1 m/sec. Find the

outward velocity V of the fluid? in m/sec

[Ans. *] 5

m

Moving

Plate U m sec

V

V d m

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