me model test paper 3

Practice Paper-III ME

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Model Test Paper - IIIGATE Mechanical Engineering

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Q. 1 - Q. 25 carry one mark each.

Q.1 Rods AB and BC shown in figure, have diameters of 4 mm and 6 mm, respectively. The vertical load of 8 kN is applied to the ring at B . If the average normal stress in each rod is equivalent then this stress will be

(A) 237 MPa (B) 316 MPa

(C) 474 MPa (D) 158 MPa

Q.2 Point A lies on link 2 and B lies on link 4 in the shaper quick return mechanism as shown. Both are coincident points. Which one of the statement is correct ?

(A) Absolute linear velocity of point A is perpendicular to O A2


(B) Absolute linear velocity of point B is perpendicular to O B4

(C) Velocity of B relative to A is parallel to O B4 .

(D) All of the above

Q.3 The figure below shows the Kleins construction for slider-crank mechanism OCP drawn to full scale. What velocity does CD represent?

(A) Velocity of the crank pin

(B) Velocity of the piston

(C) Velocity of the piston with respect to crank pin

(D) Angular velocity of the connecting rod

Q.4 The angular velocity of the disk is given by the relation at b2w = + where a 5 /rad s3= and b 2 /rad s= . If radius of the disk is 0.8 m then at 0.5 st t1= = , the magnitudes of the velocity and acceleration of point A on the disk respectively, are

(A) 2.60 / , 9.35 /m s m s2 (B) . / , . /m s m s3 25 11 70 2

(C) 2. / , . /m s m s08 7 48 2 (D) . / , . /m s m s3 72 13 20 2

Q.5 In the figure shown, the link acts as part of the elevator control for a airplane. The attached aluminum tube has an inner diameter of 25 mm and a wall thickness of 5 mm. What will be the maximum shear stress in the tube when the cable force of 600 N is ap-plied to the cables ?


(A) 7.25 MPa (B) 20.6 MPa

(C) 10.3 MPa (D) . MPa14 5

Q.6 The aluminium strap as shown in figure, is subjected to an axial force of 30 kN. What is the elongation of the strap ?

(Take 70 GPaEal = )

(A) 1.19 mm (B) 1.58 mm

(C) 0.79 mm (D) 2.37 mm

Q.7 A 100 mm wide and 12.5 mm thick plate is joined to another plate by single transverse weld. If a load of 50 kN acts along the axis of the plate, what will be the tensile stress produced due to this load ?

(A) 64.66 MPa (B) 48.50 MPa

(C) 77.60 MPa (D) 92.23 MPa

Q.8 The water height in an airtight pressurized tank is 20 m. A hose pointing straight up is connected to the bottom of tank. The gage pressure above the water surface is 204 kPa. What will be the maximum height to which the water stream could rise. [The system is at sea level]


(A) 20.8 m (B) 40.8 m

(C) 20.02 m (D) 31.6 m

Q.9 The resultant force of 600 N is acting on a body at angle of 30c with the direction of flow as shown in figure below. What will be the drag and the lift forces acting on the body, respectively ?

(A) 0, 600 N (B) 300 ,N 520 N

(C) 520 ,N 300 N (D) 600 ,N 0

Q.10 Water at 20 Cc is flowing uniformly in a wide rectangular channel at an average ve-locity of 3 /m s. If the water depth is 0.3 ,m the flow is (For water at 20 Cc 998 /kg m3r = and 1.002 10 /kg m s3m # -= - )(A) Laminar and subcritical (B) turbulent and subcritical

(C) Laminar and supercritical (D) Turbulent and supercritical

Q.11 A cast-iron plate is exposed to a solar flux of 800 /W m2 in an environment of 25 Cc . The solar absorptivity is .0 94 and emissivity is .0 21. What will the radiation equilibrium temperature of the plate neglecting convection ?

(A) C516c (B) 9 C2 8c

(C) 7 C2 3c (D) C243c

Q.12 A water sample at 100 kPa has specific volumes as 0.001043 /m kgf 3n = and 1.6940 /m kgg 3n = . If the sample has the quality of %10 , the volume fraction of the vapor

will be

(A) 0.550 (B) 0.995

(C) 0.746 (D) 0.498


Q.13 Consider the following two general expression:

1. pu

T22d n T Tv p pvp T2

222=- -d dn n

2. vh

T22e o v v

pT

pT

T v22

22= +d dn n

Which of the above expression is/are true ?(A) Only 1 (B) Only 2

(C) Both 1 and 2 (D) None of these

Q.14 On the psychrometric chart, a cooling and dehumidification process appears as a line that is

(A) horizontal to the left

(B) vertical downward

(C) diagonal upwards to the right (NE direction)

(D) diagonal downwards to the left (SW direction)

Q.15 During the execution of a CNC part program, the code G04 represents

(A) Linear Interpolation (B) Dwell

(C) Circular Interpolation (CW) (D) Positioning (Rapid transverse)

Q.16 Which of the following statement is incorrect ?

(A) The cutting force acts in the direction of the cutting speed.

(B) The thrust force acts in the direction normal to the cutting velocity.

(C) Chip breaker is attached to the rake face of the tool.

(D) Continuous chips are usually formed with brittle materials.

Q.17 If 23

69A = = G and y

x32B = = G, then in order that AB 0= , the values of x and y will

be respectively

(A) 6- and 1- (B) 6 and 1(C) 6 and 3- (D) 5 and 14


Q.18 Let P and Q be square matrices such that PQ = I, then zero is an eigenvalue of

(A) P but not of Q

(B) Q but not of P

(C) Both P and Q

(D) neither P nor Q

Q.19 limx

e e 2x

x x

0 2+ -

"

- is equal to

(A) 1 (B) 1-(C) 1/2 (D) /1 2-

Q.20 The value of integral cos xdx/

2

0

2p# is

(A) p (B) 2p(C) 4p (D) /4p

Q.21 The residue of coszz1 at z 0= is

(A) /1 3- (B) /1 2-(C) /1 3 (D) /1 2

Q.22 The purpose of jigs and fixtures is to

1. increase production rate and machining accuracy.

2. enable employ less skilled operators.

3. to provide for interchangeability.

4. decreased versatility of machine tool.

Which of these statements are correct ?

(A) 1, 2 and 3 only (B) 2 and 4 only

(C) 1 and 3 only (D) 1, 2 and 4 only


Q.23 Consider the following variables:

1. Temperature 2. Time

3. Furnace atmosphere

Which of the following is/are the principle variables in sintering ?

(A) 1 only (B) 1 and 2 only

(C) 1, 2 and 3 (D) 1 and 3 only

Q.24 A lot sizing policy in which order quantity equals net requirements for the period, is known as

(A) Firm planned order (B) Part-period method

(C) Lot-for-lot ordering (D) Planned order receipts

Q.25 An storage activity is represented on an Operation Process Chart by the symbol

(A) (B)

(C) (D)


Q. 26 - Q. 55 carry two marks each.

Q.26 A 24 kg uniform cylindrical roller, initially at rest, is acted upon by a 100 N force as shown. The body rolls without slipping. The velocity of its center G after it has moved 1.8 m and the friction force required to prevent slipping respectively, are

(A) 4.74 m/s, 49.8 N (B) 3.16 m/s, 33.3 N

(C) 1.92 m/s, 75.4 N (D) 4.10 m/s, 12.06 N

Q.27 For the simple beam AB and loading shown in figure, consider the following data: 5.4 kNP = , 3.0 mL = , 1.2 md = , 75 mmb = 25 mmt = , 100 mmh = and 75 mmh1= .

What will be the maximum tensile stress ts and maximum compressive stress cs due to the load P ?

(A) 73.2 MPats = , . MPa43 9cs = (B) . MPa43 9ts = , 73.2 MPacs =(C) . MPa36 6ts = , . MPa43 9cs = (D) . MPa36 6ts = , . MPa87 8cs =

Q.28 The shear force and bending moment diagrams for the beam shown in the figure, are


Q.29 A brass cube 50 mm on each edge is compressed in two perpendicular directions by forces 175 kNP = as shown in figure. The change vD in the volume of the cube and the strain energy U stored in the cube respectively, are

(Take 100 GPaE = , .0 34n = )

(A) 56 mm3- , 4. 4 J0 (B) 56 mm3- , .0 J2 2(C) 56 mm3- , .0 J8 8 (D) 56 mm3, 4.04 J


Q.30 A stepped shaft transmits a torque varying from 800 N m- to 1200 N m- . The ulti-mate tensile strength of the material of the shaft is 600 MPa and yield stress of the ma-terial is 450 MPa. Correction for type of loading is .0 6, size factor is .0 85, surface finish factor is .0 8 and the stress concentration factor is .1 2. What will be the diameter of the shaft for an infinite life for a factor of safety of .1 8 ?

(A) 36 mm (B) 34 mm

(C) 40 mm (D) 38 mm

Q.31 A single-point cutting tool have back rake and side rake angles of 10c and 12c respec-tively. If the principal cutting edge angle is 60c, what will be the orthogonal rake angle and inclination angle respectively ?

(A) . , .12 20 2 10c c (B) . , .18 26 3 15c c

(C) . , .22 07 3 81c c (D) 15.22 , 2.63c c

Q.32 Consider a cylindrical casting of 40 cm diameter and 20 cm height as shown, which is fill up by a sprue having gate diameter of 2 cm by top gating and bottom gating. If the head available for filling metal in both cases is 25 cm, what will be the time taken to fill up the cylindrical casting in both cases respectively ?

(A) . , .sec sec41 53 57 32 (B) 27.1 , 37.40sec sec0

(C) . , .sec sec36 12 49 85 (D) . , .sec sec52 37 58 79

Q.33 For a conical enclosure of height h and base diameter D , what will be the view fac-tor from the conical side surface to a hole of diameter d located at the center of the base ?

(A) Dhd

82

(B) Dhd

42


(C) Dhd

2 (D) Dhd

22

Q.34 Water 4180 /J kg Ccp c-=^ h enters in a thin-walled double-pipe counter-flow heat ex-changer at 22 Cc at a rate of 1.5 /kg s. This water is to be used to cool oil 2200 /J kg Ccp c-=^ h from 15 C0c to 40 Cc at a rate of 2 /kg s. If the overall heat transfer coefficient of this heat exchanger is 32.5 /kW m C2 c- and the length of the tube is 6 m, the diameter of the tube will be

(A) 2.5 cm (B) . 25 cm0 0

(C) 5. cm0 (D) . cm0 47

Q.35 In an isentropic turbine with a single inlet and outlet, steam enters at 2 MPa, 360 Cc and leaves at 100 kPa. The thermodynamic properties of water and steam are given in table. What will be the work produced by this turbine ?

State ( / )kJ kghg ( / )kJ kg Ksg -Steam: 2 MPa , 360 Cc 3159.9 6.9938

Water: 100 kPa hf hfg sf sfg417.51 2257.5 1.3028 6.0562

(A) 621.0 /kJ kg (B) . /kJ kg1579 9

(C) . /kJ kg3159 9 (D) . /kJ kg2538 9

Q.36 Match List I (Operation feature) with List II (Shearing operation) and select the correct answer using the codes given below the list :

List-I List-II

P. A process of separating excess metal from a formed part usually the waste area, use to grip the workpiece while it was being formed.

1. Notching

Q. Removal of excess metal from the edge of a strip to make it suitable for drawing without wrinkling.

2. Trimming

R. A process of cutting hole of various shapes and sizes into a workpiece.

3. Blanking

S. A shearing operation used to produce the blanks, the cutting action occurring about enclosed shape.

4. Punching


Codes : P Q R S(A) 2 1 3 4(B) 3 4 2 1(C) 2 1 4 3(D) 3 2 4 1

Q.37 The cutting angles of a single point cutting tool is shown below by their geometry and denoted by A, B, C, D, E and F.

Which of the following pairs are not correctly matched ?

Angles Name

1. A $ End-cutting edge angle

2. B $ End-relief angle

3. C $ Side relief angle

4. D $ Side cutting edge angle

5. E $ Side-rake angle

6. F $ Back-rake angle(A) 1, 3 and 6 (B)2, 3 and 5

(C) 2, 4 and 5 (D)1, 2 and 6


Q.38 Which one of the following sand mould uses sodium silicate as a binder ?

(A) Loam sand mould (B) CO2 mould

(C) Dry sand mould (D) Composite mould

Q.39 Consider the following Linear Programming Problem (LPP).

Maximize z 4 10x x1 2= +Subject to 2x x1 2+ 50# 2 5x x1 2+ 100# 2 3x x1 2+ 90# x1, x2 0$By using the simplex method, the optimum solution of the problem is(A) 200 (B) 300

(C) 150 (D) 100

Q.40 A random bit string of length is constructed by tossing a fair coin times and setting a bit to 0 or 1 depending on outcomes head and tail, respectively. The probability that two such randomly generated strings are not identical is

(A) /1 2 (B) n

1 1-

(C) !n1 (D) 1

21n-

Q.41 If the geometric mean of ,x 20 and 40 be 20, then the value of x is

(A) 4 (B) 10

(C) 20 (D) 40

Q.42 An automatic vending machine at the airport, dispenses a cup of coffee in 48 seconds and the customers arrive with a mean rate of 25 per hour according to Poisson distribu-tion. What will be average number of customers waiting in the queue, the average waiting time of the customer in the queue and the average number of customers in the system, respectively ?

(A) 0.0033 customers, 0.0833 min, 0.4166 customers

(B) 0.4166 customers, 0.0033 min, 0.0833 customers


(C) 0.4166 customers, 0.0833 min, 0.0033 customers

(D) 0.0833 customers, 0.0033 min, 0.4166 customers

Two Marks Numerical Answer Type Questions (Q. 43 to 47).

Q.43 A journal bearing of 150 mm diameter and 225 mm length supports a load of 9 kN at 1000 rpm. If the radial clearance is 0.075 mm and the bearing dissipates 1.5 kW in friction, what will be the viscosity of oil (in Pa-sec) at the operating temperature ?

Q.44 Let ( , )u x t be the bounded solution of

tu

xu2

2

22

22- 0= with ( , )u x

ee0

11

x

x

2

2= +-

Then ( , )limu t1t"3

equals

Q.45 Let A be a 3 3# matrix with eigen values, , ,1 1 0- . then what is the determinant of I A100+ ?

Q.46 The flow rate in the asphalt-lined ( . )n 0 016= channel shown in figure below is to be 120 /m s3 . What will be the elevation drop (in meter) of the channel per km ?

Q.47 The annual demand of a product is 500 units. The cost of storage per unit per year is 10% of the unit cost and ordering cost per order is ` 180. The unit costs are given below :

Quantity Unit cost (`)

0 500Q


What will be the optimal order quantity (in units) for the product ?

Common Data For Q. 48 and 49.A horizontal gas engine running at 210 rpm has a bore of 220 mm and a stroke of 440 mm. The connecting rod is 924 mm long and the reciprocating parts weigh 20 kg. When the crank has turned through an angle of 30c from the inner dead centre, the gas pressures on the cover and the crank sides are 500 /kN m2 and 60 /kN m2 respectively. Diameter of the piston rod is 40 mm

Q.48 What will be the turning moment on the crank shaft ?

(A) 1953 N m- (B) N m1465 -

(C) N m3121 - (D) N m2539 -

Q.49 What will be the thrust on the bearings ?

(A) 1 . kN7 78 (B) 11.85 kN

(C) . kN23 7 (D) . kN8 3

Common Data For Q. 50 and 51.Water at 40 Cc ( 9.731 10 / , 7.376 10 /N m N mpv3 3 3 2g # #= = ) is pumped from an open tank through a 200 m long and 50 mm diameter smooth horizontal pipe ( .f 0 0152= ) as shown in figure and discharge into the atmosphere with a velocity of 3 /m s and at standard atmospheric pressure. Minor losses and the losses in the short section of pipe connecting the pump to the tank are negligible.

Q.50 If the efficiency of the pump is 70%, how much power is being supplied to the pump ?

(A) 2.07 kW (B) . kW1 55

(C) . kW1 1 (D) . kW4 14


Q.51 What will be the NPSHA at the pump inlet ?

(A) 15.75 m (B) . 5 m9 4

(C) . m6 3 (D) . m12 6

Statement For Linked Answer Questions 52 and 53.In the turning operation of a seamless tube of 32 mm outside diameter on a lathe, the following observations were observed: Cutting velocity, V 10 /minm=Rake angle, a 35c=Depth of cut, d 0.125 mm=Length of chip, lc 60 mm=Cutting force of the tool, Fc 200 N=Tangential force, Ft 80 N=

Q.52 The coefficient of friction and the chip thickness ratio respectively, are

(A) 1.68, 0.7 (B) 1.146, 0.4

(C) 0.840, 0.3 (D) 1.528, .0 6

Q.53 What are the velocity of chip relative to the tool and that of relative to the workpiece respectively ?

(A) 6 / , 8.20 /min minm m

(B) / , .2 /min minm m10 12 5

(C) / , . 0 /min minm m4 5 5

(D) 15 / , 20. 0 /min minm m3

Statement For Linked Answer Questions 54 and 55.In figure shown, a steam power plant operates on a regenerative Rankine cycle and has a net power output of 150 MW. Steam enters the turbine at 10 MPa ( . /kJ kgh 3375 1= ) and the condenser at 10 kPa ( 2654.1 /kJ kghs = ). The isentropic efficiency of the turbine is 80 % and that of the pumps is 95 % percent. Steam is extracted from the turbine at 0.5 MPa ( 2 . /kJ kgh 089 7s = ) to heat the feed-water in an open feed-water heater. Water leaves the feed-water heater as a saturated liquid. The thermodynamic states of water are given in the table.


State of water h , ( /kJ kg) s , ( /kJ kg K- ) n , ( /m kg3 )hf hfg sf sfg fn gn

10 kPa 191.81 2392.8 0.6492 7.5010 0.001010 14.674500 kPa 640.21 2108.5 1.8606 4.9606 0.001093 0.3749

Q.54 What will be the fraction of steam extracted from the turbine ?

(A) .0 1718 (B) 0.1178

(C) 0.8822 (D) 0.8282

Q.55 What will be the mass flow rate of steam through the boiler ?

(A) 1 . /kg s03 8 (B) . /kg s55 9

(C) 159.7 /kg s (D) 1 . /kg s83 6


General Aptitude (GA) Questions


Q.56 The HCF and the LCM of two numbers are 35 and 272 respectively. If one of the numbers is divided by 6, then the quotient is 11 and the remainder is 4. What is the other number ?

(A) 90 (B) 102

(C) 124 (D) 136

Q.57 Find the sentence that has a mistake in grammar or usage. If you find no mistakes, mark choice d.

(A) The dogs barking woke us.

(B) Ursula has broke one of your plates.

(C) The sun rose from behind the mountain.

(D) No mistakes.

Q.58 Throughout the trial, the ________ was placed on scientific evidence.

(A) enphasis (B) emphisis

(C) emphasis (D) emfasis

Q.59 son : nuclear :: ______ : extended

(A) father (B) mother

(C) cousin (D) daughters

Q.60 Choose the word that means the opposite or most nearly the opposite.

General(A) specific (B) total

(C) insignificant (D) substantial



Q.61 Choose the sentence that best combines the given sentences.

The federal government has diversity of jobs and geographic locations. The federal government offers flexibility in job opportunities that is unmatched in the private sector.(A) In spite of its diversity of jobs and geographic locations, the federal government of-

fers flexibility in job opportunities that is unmatched in the private sector.

(B) No matter its diversity of jobs and geographic locations, the federal government of-fers flexibility in job opportunities that is unmatched in the private sector.

(C) Because of its diversity of jobs and geographic locations, the federal government of-fers flexibility in job opportunities that is unmatched in the private sector.

(D) The federal government has diversity of jobs and geographic locations, so it offers flexibility in job opportunities that is unmatched in the private sector.

Q.62 The value of ............ 67 7 7 74444

times is equal to ?

(A) 7 2025112

(B) 7 40961365

(C) 7 40962025

(D) 7 40962729

Q.63 The first term of an AP is equal to the sum of common ratio of a GP and the first term of the GP is equal to the common difference of the AP . If the sum of the first two terms of the GP is equal to the sum of the first 2 terms of the AP , then the ratio of the first term of the GP to the first term of an AP is ?

(A) 1> (B) Independent of first term of GP(C) 1< (D)Independent of first term of AP

Q.64 For any two numbers , ; :m n m n m n+ -^ ^h h: : :mn 7 1 60= . Find the value of : ?m n1 1(A) :3 4

(B) :5 7

(C) :7 10

(D) :10 13


Q.65 Ramu is planning to get wireless Internet service at his house. Two service providers, A and B, offer different rates as shown in the table below. If Ramu plans on using 25 hours of Internet service per month, which of the following statements is true ?

Internet Service Rates

Provider Free Hours Base Charge Hourly Charge

A 17.5 $20.00 $1.00

B 20 $20.00 $1.50

(A) Provider A will be cheaper.

(B) Provider B will be cheaper.

(C) The providers will cost the same per month.

(D) The answer cannot be determined from the information given.

END OF THE QUESTION PAPER

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me model test paper 3

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