PART –A

Q 1 TO Q 25 Carry one mark each

1) Find the values of α,β so that the equations 2x+3y+5z=9, 7x+3y-2z=8 and 2x+3y+αz=β have no solution

2) Trapezoidal (composite) rule of integration gives exact result for a polynomial of degree

a) Less than or equal to 1 c)Less than or equal to 2 b) Less than 1 d) Less than or equal to 3

3) Evaluatelim�→� Xne-x

a) ∞ b) 1 c) 2 d) 0

4) Directional derivative of xy2z2=2 at the point (-1,-1,-1) in the direction of vector i+j+k is

5) Which of the following is/are transcendental

equations a) 2sinx-x=0 b)exsinx-(1/2x)=0 c) logx2-1 d)all

6) A Ball A of mass M falls under gravity from a height

h and strikes another ball B of mass m which supported at rest on a spring of stiffness k assume perfectly in elastic impact. Immediately after the impact

a) The Velocity of ball A is 1 / 2 (2gh)0.5 b) The Velocity of ball A is Zero c) The Velocity of both ball is 1 / 2 (2gh)0.5 d) None of these

7) In a Biaxial stress problem the stresses in X and Y

directions are σx = 200Mpa σy = 100Mpa maximum principal stress in MPa is

a) 50 b) 100 c)150 d)200

8) For the dimensions shown in figure identify the mechanism

a) AD & BC are cranks b) AD (rocker) & BC (crank) c) AD & DC are rockers d) AD (crank) & BC (rocker) 9) The numbers of Degrees of Freedom of a seven

link plane mechanism with seven revolute pair is Using Grubler relation

a) 3 b)2 c)1 d)4

10) Which theory of failure will you use for aluminium components under steady loading

a) Principle stress c)principle strain b) Strain energy d) maximum shear stress

11) The length of the cantilever beam is halved the

natural frequency of the mass M at the end of the cantilever beam of negligible mass is increased by a factor of

a) 2 b) 4 c) 6 d) 8

12) An object weighing 120N ina air was found to weight 90N when fully submerged in water the relative density of the object is

a) 5.0 b)4.0 c)2.5 d)1.25

13) Match List 1 and List 2 and select the correct answer is using the codes given below the list List 1 List 2

a) Property which explain cavitations 1.Surface tension b) Property which explains the 2.Vapour

spherical shape of drop of liquid Pressure c) Property which explains the flow 3.Viscocity

Of jet of oil in an unbroken stream d) Property which explains the raise 4. Capilarity

of sap in a tree a) a-1,b-2,c-3,d-4 c) a-4,b-3,c-2,d-1 b) a-2,b-1,c-3,d-4 d) a-3,b-4,c-1,d-2

14) For the same capacity rates of hot and cold fluids, if

NTU for both counter and parallel flow het exchanger is 4, then the ratio of effectiveness of counter flow heat exchanger to that of parallel flow heat exchanger is

a) 1.6 b)1.8 c)2.0 d)1.9

15) When a system undergone a process from state A to state C as shown in P-V diagram, the total workdone by the system is

a) 1000 kJ b) 1250 kJ c) 250 kJ d) 2250kJ

16) When dry saturated steam is throttled from higher

pressure to lower pressure ,then 1) Pressure decreases and volume increases 2) Temperature decreases and steam becomes

superheated 3) Temperature and dryness fraction increases 4) Entropy increase w/o changing any change in

Enthalpy a) 1 and 4 b)1,2 and 4 c) 1 and 3 d) 2 and 4

17) A domestic refrigerator maintains a temp at 300k.

Heat leaks to the freezer at continuous rate of 3.15kJ/s from the surroundings at 400k.The maximum power required to run the refrigerator

a) 1.35 kW b) 1.25 kW c)1.05 kW d)1.15 kW

18) When a cylinder is on V-Block , the numbers of degrees of freedom, which arrested is________

19) Feed drives in CNC milling machines are provided

by a) Stepper motors c) synchronous motors b) Induction motors d) Servo motors

20) A cup of 4 cm diameter and 6 cm in depth is to be

drawn from 1.5 mm thick drawing steel with tensile

strength of 315 MPa. The force required for the first draw is

a) 59.3 kN b) 100 kN c) 157 kN d) 237 kN

21) Diameter of blank required to deep draw the given component is

a) 300 mm b) 288 mm c) 275 mm d) 250 mm

22) Find out the odd one a) Progressive pitch error c)Thread drunkenness b) Periodic pitch error d) None of these

23) In transportation problem, MOD rule method would

yield a) An optimum solution b) An initial feasible solution c) A Vogel’s approximation solution d) A minimum cost solution

24) In specified network the earliest expected time for the project is 20 days and the scheduled completion time is 22 days.the standard deviation for the network is 2.Then the normal deviate value

25) Find out the odd one c) Progressive pitch error c)Thread drunkenness d) Periodic pitch error d) None of these

PART –B

Q 26 TO Q 55 carry Two marks each 1 3 5

26) If A = 0 2 -1 then which of the following is 0 0 3 correct?

a) A2 is a triangular matrix c) Both a & b b) Eigen values of A2 are 1,5,9 d) None of these

27) A number p is selected from first 200 positive

integer, then what is the probability that p satisfy the conditions p+(200/p)>100

a) 49/100 b) 1 / 2 c)21/40 d) None of these

28) A die rolled 180 times find the probability that the face 4 will turn up at least 35 times (Assumes Normality) given that the area under the normal curve z= 0 to z =1 is 0.3413

a) 0.1587 b) 0.3413 c)0.8587 d)0.5

29) Evaluate lim�→� √1 + 5���

30) Dividing the interval [0,6] into six equal parts and by

using Trapezoidal rule find the value of ∫�

�x3 ��

31) A simply supported beam carries a load P through a bracket as shown in figure the maximum bending moment in the beam is

a) PL/2 b) PL/2 + aP/2 c) PL/2 + aP d) PL/2 - aP

32) A gear set has a pinion with 20 teeth and gear with

40 teeth. The pinion runs at 30 rps and transmits a power of 20 kW. The teeth are on the 20º full depth system and have a module of 5 mm.The center distance for the above gear set in mm is

a) 140 b)150 c)160 d)170

33) The sungear in the figure driven clockwise at 100rpm the ring gear is held stationary for the no.of teeth shown on the gears. The arm rotates at

a) 0 rpm b) 20 rpm c) 33.33 rpm d) 66.67 rpm

34) A mass of 1 kg is suspended by means of 3 springs as shown in figure. the spring constants K1, K2, K3 are respectively 1kN/m, 3 kN/m,2kN/m.The natural frequency of the system is approximately

a) 46.90Hz b) 52.44Hz c) 60.55Hz d) 77.46Hz

35) The speed of engine varies from 210 rad/sec to 190 rad/sec. During a cycle change in kinetic energy found to be 400Nm.The inertia of the flywheel is in kgm2 is

a) 0.10 b)0.20 c)0.30 d)0.40

36) A Clutch has outer and inner diameter 100mm and 40mm respectively assuming Uniform pressure of 2Mpa and coefficient of friction of liner material 0.4 the torque carrying capacity of the clutch is

a) 148Nm b)196Nm c)372Nm d)490Nm

37) A mixed flow pump is driven by a 6.5kW motor running at 780rpm it delivers water at the rate of 1000 lits/sec against the total head of 25m what is the specific speed of the pump

a) 47.3 b)78.8 c) 69.7 d)98

38) A plane wall 6m height 12m width and 0.3m thickness is having thermal conductivity 3.5W/m-K the plane wall is maintained at 45ºC and 22ºC at a inner and outer surface. The rate of heat loss through the wall is

39) An engine working on Carnot cycle has maximum and minimum temperatures of 1370ºC and 316ºC. Determine the efficiency and heat supplied per minute if its output is 22.5kW and

40) Following are the few psychrometric processes

generally employed in AC system what is the line (OC) indicating the following figure

a) Heating & Humidifying b) Cooling & Dehumidifying c) Heating & Dehumidifying d) Cooling & Humidifying

41) A vapor absorption refrigeration system is a heat pump with three thermal reservoirs as shown in figure. A refrigeration effect of 100W is required at 250K when the heat source available is at 400K heat rejection occurs at 300K the minimum value of heat required in W

a) 167 b)100 c)80 d)20

42) A 10kg ball is fired vertically upward from ground with the velocity 80m/s atmospheric resistance is measured by FD=(0.08V2) N; Where V is the speed of projectile at any instant,Find the height reached by the ball.

a) 326m b)117m c)227m d)380m

43) A mild steel member is being machined at a cutting speed of 0.2 m/s with a tool of rake angle 7º.The width of cut and uncut chip thickness are 4mm and 0.3mm respectively. The average value of coefficient of friction between the tool and chip is 0.4 and the yield strength of the material is 300Mpa. Assume Lee and Shaffer relation. The force required for cutting is

a) 489 N b) 421.3 c) 91N d) 200N

44) Calculate the time taken for shaping cast iron block 40cm×25cm in a single cut feed is take as 0.8mm/stroke and cutting speed at 10m/min consider approach and over run

a) 25.78min b)20.18min c)15min d)30min

45) In a Machining experiment, tool life was found to vary with the cutting speed in the following manner

Cutting speed ( m / min) Tool life (min)

60 81

90 36

1) The exponent (n) and constant (k) of the Taylor’s

tool life equation are a) n=0.5 and k=540 c) n=1 and k=4860 b) n= -1 and k=0.74 d) n= -0.5 and k=1.155

46) A manufacturer producers two types of products 1

profit is 2 X1+6 X2 and the production constraints are X1+3 X2≤ 40, 3X1+X2≤ 24, X1+ X2≤ 10, X1 >0, X2>0. The maximum profit which can meet the constraints is

a) 29 b)32 c)44 d)38

47) The annual production of the particular product is 1200 units setup cost is Rs.250,Manufacturing price is Rs.25 and inventory or holding cost is 10% per item. Calculate the minimum total inventory cost

Common Data for Questions (Q.48 & Q.49)

A refrigerator operates between 120kPa and 800kPa in an ideal vapor compression cycle with R134a as a refrigerant the refrigerant enters the compressor as saturated vapor and leaves the condenser as saturated liquid the mass flow rate of refrigerant is 0.2kg/sec, properties for R134a are as follows Saturated R-134a P(kPa) T (ºC) hf (kJ/kg) hg (kJ/kg) sf (kJ/kg) sg (kJ/kg)

120 -22.32 22.5 237 0.093 0.95 800 31.31 95.5 267.3 0.354 0.918 Super heated R-134a P(kPa) T (ºC) h (kJ/kg) s (kJ/kg)

800 40 276.45 0.95

48) The rate at which heat is extracted in kJ/sec from the refrigerated space is

a) 28.3 b)42.9 c)34.4 d) 14.6

49) The power required for the compressor in KW is a) 5.94 b)1.83 c)7.9 d)39.5

Common Data for Questions (Q.50 & Q.51)

Given the following data for an item of uniform demand instantaneous delivery time and back order facility Annual demand=820 units, Cost of an item = Rs.45 Inventory carrying cost = 40% Back order cost = Rs.15

50) Minimum cost order quantity is given by a) 400units b)450units c)350units d)500units

51) Total annual cost at EOQ is given by a) Rs.3000 b)Rs.3330 c) Rs.2840 d)Rs.3580

Linked Answers Questions (Q52 & Q53) A mass less beam has loading pattern as shown in figure the beam is rectangular cross section with a width of 30mm and height of 100mm

52) The Max.Bending moment occurs at a) Location B b) 2675mm to the Right of A c) 2500mm to the Right of A d) 3225mm to the Right of A

53) The Max.Magnitude of bending stress (MPa) a) 60 b)67.5 c)200 d)225

Linked Answers Questions (Q54 & Q55) In orthogonal turning of bar of 100mm diameter with a feed of 0.25mm/rev depth of cut 4mm cutting velocity of 90m/min it is observed that the main(tangential) cutting force is perpendicular to the friction force acting at the chip tool interface the main(tangential) cutting force is 1500N

54) The orthogonal rake angle of the cutting tool in a) Zero b)3.58º c) 5º d)7.16º

55) The normal force acting at the chip tool interface in a) 1000N b)1500N c)2000N d)2500N

General Aptitude (GA) Questions: Q.56 to Q.60 carry one mark each

56) Choose the grammatically INCORRECT sentence a) He is of Asian origin b) They belonged to Africa c) She is an European d) They migrated from India to Australia

57) What will be the maximum sum of 44,42,40……? a) 502 b)504 c)506 d)500

58) Were you a bird,you………………in the sky a) Would fly c) shall fly b) c) should fly d) shall have flown

59) Which one of the following options is the closest in

meaning to the word “ Nadir” a) Highest b) lowest c) Medium d) Integration

60) Complete the sentence : Universalism is to particularism as diffuseness is to………

a) Specificity b)Neutrality c) Generality d) adaptation

Q.61 to Q.65 carry two mark each

61) The current erection cost of a structure Rs.13,200. If the labour wages per day increases 1/5 of the current wages and the working hours decreases by 1/24th of the current period then the new cost of the erection is

a) Rs.16500 b)Rs.15,180 c)11,000 d) 10,120

62) A tourist covers half of his journey by train at 60km/h , half of the remainder by bus at 30km/hr and the rest by cycle at 10km/h. The avg.speed of the tourist in km/h. During his entire journey

a) 36 b)30 c)24 d) 18

63) Out of all the two digit integers between 1 and 100.a 2 digit no has to selected at a random what is the probability that the selected no not divisible by 7?

a) 13/90 b)12/90 c)78/90 d)77/90

64) A number was divided successively in order by 5, 9, 13 . The remainders were respectively 4,8,12. Find the number.

a) 1254 b) 1169 c) 1361 d) 1124

65) Choose answer key corresponding to the word with a meaning most nearly opposite to the meaning of the word in capital letters “COURTEOUS”

a) Rude b)illegal c) ineligible d) informal