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Practice Test: Mechanical Engineering (ME)- 6 - Question 1

**Question 1 to 5 carry One Mark each**

**Q.**

**Even as the --------- else where in the world are struggling, to come out of recession, Indian consumers are splurging on consumer goods and to ----- this growth, companies are investing heavily in various sectors.**

Practice Test: Mechanical Engineering (ME)- 6 - Question 2

In the olympic games, the flags of six nations were flown on the masts in the following way. T he flag of

America was to the left of Indian tricolor and to the right of the flag of france. T he flag of australia was on

the right of the indian flag but was to the left of the flag of japan, which was to the left of the flag of china.

Find the two flags which are in the centre.

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 6 - Question 2

Practice Test: Mechanical Engineering (ME)- 6 - Question 3

From the given equilateral triangle below, A, B and C run along. T he sides in clockwise direction and stop

aft er coming sides. Which of the following statements is true?

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Practice Test: Mechanical Engineering (ME)- 6 - Question 4

In the following questions, a sent ence has been given in direct/indirect speech.

Nitin said to me, “why don’t you come with us? why do you want to be so unsocial.

Practice Test: Mechanical Engineering (ME)- 6 - Question 5

**Direction (5) Spotting the error**

/In order to transfer **(A)**

/ branch licenses for one (B)

/ bank to anot her you require special approval from RBI **(C)**

/ No error **(D)**.

Practice Test: Mechanical Engineering (ME)- 6 - Question 6

Question 6 to 10 carry Two Marks each

Q.

In an NGO, the daily average ages of 20 illiterate employee is decreased from Rs. 25 to Rs. 10. Thus the

average salary of all the literate (educated) and illiterate employees is decreased by Rs. 10 perday. T he

number of educated employees working in the NGO is :

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 6 - Question 6

Practice Test: Mechanical Engineering (ME)- 6 - Question 7

**Common Data Question (7-8)**

The ratio of the percentage share of Dairy Milk to that of ot her is?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 6 - Question 7

Practice Test: Mechanical Engineering (ME)- 6 - Question 8

If in the next year, Crackle and Dairy Milk decided to join hands and increase their market share from their

combined existing share by 20%. What will be their combined sales if the mark size remains the same?

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Practice Test: Mechanical Engineering (ME)- 6 - Question 9

Simple interest on a certain amount is 9/16 of the principle. If the number represent ing the rate of intersest in percent and time in years be equal. T hen time, for when the principal is lent out is,

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Practice Test: Mechanical Engineering (ME)- 6 - Question 10

A boat sails across a river with a velocity of 10 km/hr. If resultant boat velocity is 14 km/hr, then what is the velocity of river water?

Practice Test: Mechanical Engineering (ME)- 6 - Question 11

Question 11 to 35 carry One Mark each

Q.

If the probability for A to fail in an examination is .2 and that for B is .3 then the probability that either

A or B fails is

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Practice Test: Mechanical Engineering (ME)- 6 - Question 12

Eigen value of unit ary matrix are always

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Practice Test: Mechanical Engineering (ME)- 6 - Question 13

If t hen the value of

______________

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Practice Test: Mechanical Engineering (ME)- 6 - Question 14

A rigid wheel 1.25 diameter is to be provide with a t hin steel t yre. If the stress in the steel t yre is not

to exceed 140 N/mm^{2}, what is the int ernal diameter of the tyre? Take E = 2 × 10^{5} N/mm^{2} and

α = 1.2 × 10^{-5} per ^{o}C ________________

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Practice Test: Mechanical Engineering (ME)- 6 - Question 15

In case of solution of a two variable linear programming problem by graphical method one constraints line

comes parallel t o the objective function line which one of the following is correct?

Practice Test: Mechanical Engineering (ME)- 6 - Question 16

If 'u' and 'v' the component of velocity in x-direction and y-direction respectively are given u = ax+by and

v = cx + dy then the condition to be satisfy is

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Practice Test: Mechanical Engineering (ME)- 6 - Question 17

T he two links OA and OB are connected by a pin joint at 'O'. If the link OA t urns with angular velocity

'ω_{1}' rad/s in the clockwise direction and th e link OB turns with angular velocity 'ω_{2}' rad/s is the

anticlockwise direction, then the rubbing velocity at the pin joint 'O' is

Where r = Radius of the pin at 'O'

Practice Test: Mechanical Engineering (ME)- 6 - Question 18

According to Indian standard specifications, a grey cost iron designated by 'FG200' means that the

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Practice Test: Mechanical Engineering (ME)- 6 - Question 19

T here is a slab having temperat ure at left and right faces 800 K and 600 K respectively and slab material

having conductivit y k = 20 W/mK at 0°C. Find the mean thermal conductivity for the slab given β = 0.01 per

unit kelvin _________________W/mK

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Practice Test: Mechanical Engineering (ME)- 6 - Question 20

The following sheet metal operat ion induces shear stresses in the part

Practice Test: Mechanical Engineering (ME)- 6 - Question 22

Steam coming out of the whistle of a pressure cooker is

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Practice Test: Mechanical Engineering (ME)- 6 - Question 23

What should be the minimum length two a high strength steel rod of 12.5 mm diamet er so t hat one end

can be t wisted by 30^{o} with respect of the other end, without exceeding a shear stress of 270 N/mm^{2} given

modulus of rigidity G = 8 × 10^{4} N/mm^{2}

_________________ m

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 6 - Question 23

Practice Test: Mechanical Engineering (ME)- 6 - Question 24

The linear programming is used for opt imization problems which satisfy the following conditions.

(1) Objective function expressed as a linear function of variable

(2) Resources are unlimited

(3) T he decision variable are interrelated and non-negative

Which of the statements is/are correct?

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Practice Test: Mechanical Engineering (ME)- 6 - Question 25

The dynamic viscosity of a fluid is 1 Poise. What should one multiply to it to get the answer in N-s/m^{2}?

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Practice Test: Mechanical Engineering (ME)- 6 - Question 26

T he four bar mechanism shown in the given figure

Given OA = 3cm , AB = 5cm, BC = 6 cm and OC = 7cm is a

Practice Test: Mechanical Engineering (ME)- 6 - Question 28

For a metallic wall at 200°C a metallic rod prot rudes to the ambient air. The temperat ure at the tip will be

minimum when the rod is made of

Practice Test: Mechanical Engineering (ME)- 6 - Question 29

Blank holding is normally required in

Practice Test: Mechanical Engineering (ME)- 6 - Question 30

When 'd' is the diameter of the molecules of a gas in a confined space, the collision frequency will be

proportional to

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Practice Test: Mechanical Engineering (ME)- 6 - Question 31

A cant ilever beam of span 6m carries a point load of 100 kN at its free end and anot her point load 'W'

at the mid of its length. If the maximum bending moment is stated to be 900 kNm, the load 'W' will have

the value _______________________

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Practice Test: Mechanical Engineering (ME)- 6 - Question 33

Straight turning operation was carried out at the same feed using tools

(1) 8 – 8 – 5 – 5 – 25 – 0 (ASA) and

(2) 8 – 8 – 5.5 – 7 – 30 – 0 (ASA).

Which tool will gives a better surface finish ?

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Practice Test: Mechanical Engineering (ME)- 6 - Question 34

A 150 mm long, 12 mm diameter rod is reduced to 11 mm diameter in a single pass straight turning. If the

spindle speed is 400 rpm and feed rat e is 200 mm/min, determine the material removal rate

____________________ mm^{3}/ min

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Practice Test: Mechanical Engineering (ME)- 6 - Question 35

In the vander wall's equation

T he greater the value of constant equation

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Practice Test: Mechanical Engineering (ME)- 6 - Question 36

**Question 36 to 65 carry Two Marks each**

**Q.**

A 60 mm diameter shaft transmitting a torque of 4 kNm is also subjected to an axial tension of 180 kN.

T he maximum tensile stress is

___________________

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 6 - Question 36

Practice Test: Mechanical Engineering (ME)- 6 - Question 37

The momentum correction factor is given by

Practice Test: Mechanical Engineering (ME)- 6 - Question 38

Consider the following statements

1. In a kinematic inversion, the relative motions between links of the mechanism changes as different

links are made t h e frame by turns.

2. An ellipt ical trammel is a mechanism with three prismatic pairs and one revolute pair. Which of the

statements given above is/are correct?

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Practice Test: Mechanical Engineering (ME)- 6 - Question 39

A shaft rotat ing at constant speed is subjected to variable load. The bearings support ing the shaft are subjected to stationary equivalent radial load of 3kN for 10 percent of time, 2 kN for 20 per cent of time, 1 kN for 30 per cent of time and no load for remaining time of cycle. If the tot al life expected for the bearing is 20 × 10^{6} revolution at 95 per cent reliability, dynamic load rat ing of the ball bearing is

__________________ kN

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Practice Test: Mechanical Engineering (ME)- 6 - Question 40

A plastic pipe (K = 0.5 W/mK) carries a fluid such that the convective heat transfer coefficient is 200 W/

m^{2}K. The average fluid temperat ure is 100°C. T he pipe has an inner diameter of 3 cm and outer diameter

4 cm. If the heat transfer rat e t hrough the pipe per unit length is 450 W/m, calculate the external pipe

temperat ure

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Practice Test: Mechanical Engineering (ME)- 6 - Question 41

A mild steel workpiece is being machined by two different tools 'A' and 'B' under identical machining conditions. The tool life equation for these tools are

Tool A VT^{0.31} = 43.3

Tool B VT^{0.43} = 89.5

Where V and T are in m/s, respectively. Determine the cutting speed above which tool B will give better tool

life

__________________ m/s

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 6 - Question 41

Practice Test: Mechanical Engineering (ME)- 6 - Question 42

The net work input required for compressor with increase in clearance volume

Practice Test: Mechanical Engineering (ME)- 6 - Question 43

If hot water and cold water are mixed, then the entropy of the system will be

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Practice Test: Mechanical Engineering (ME)- 6 - Question 44

A solid shaft is subjected to a bending moment of 300 Nm and a twisting moment of 225 Nm. What should

be the diameter of the shaft with a factor of safety of 2 according to the maximum principal strain theory?

Take σ_{y} = 210 N/mm^{2} and μ = 0.25

______________

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Practice Test: Mechanical Engineering (ME)- 6 - Question 45

Laminar flow takes place in the circular tube. At what distance form the boundary does the local velocity

equal to the average velocity ?

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 6 - Question 45

Practice Test: Mechanical Engineering (ME)- 6 - Question 46

Consider the following statements

1. Corioli’s component of acceleration is a component of translatory acceleration.

2. If the relative motion between two links of a mechanism is pure sliding, then the relative instantaneous

centre for these two links does not exist.

Which of the statements given above is/are correct?

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Practice Test: Mechanical Engineering (ME)- 6 - Question 47

According to Von–Mises criterion, the shear yield stress of the material is 346.56 MPa t hen what will

be t he yield strength of this material in tension assume unidirectional loading _____________MPa

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Practice Test: Mechanical Engineering (ME)- 6 - Question 48

Water flows a 20 mm I.D. at a rat e of 0.02 kg/s entering at 20°C. T he tube is wrapped from outside by an

elect ric heat ing element that produces a uniform flux of 18 K W/m2. If the exit tempe rat ure of water is

50°C, find the length of the pipe needed for this process. Given water propert ies at 35°C, ρ = 997 kg/m^{3}, C_{p}= 4180 J/kg-K, μ = 820 × 10^{–6} Ns/m^{2} and k = 0 .808 W/mK ___________________

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Practice Test: Mechanical Engineering (ME)- 6 - Question 49

A tube is orthogonally machined in a lathe to reduce its length under the following conditions. Outside diameter of the tube 100 mm, inside diameter of the tube 96 mm, RPM of the workpiece 120, longitudinal feed 0.5 mm/ rev, cutting ratio 0.3, tangential force 800 N, axial force 600 N. The total power consumption

_______________W.

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Practice Test: Mechanical Engineering (ME)- 6 - Question 50

100 cubic-meter o f air at 20°C and 60% RH (saturat ion pressure = 0.02384 bar) is heated per minute by

means of hot water spray supplied at 30°C. T he temperature of air coming out is 3 0°C and 50% R.H.

(saturat ion pressure = 0.04325 bar). T he heat added to the air will be, if atmospheric pressure is 1.033 bar

_____________kW

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Practice Test: Mechanical Engineering (ME)- 6 - Question 51

A bell coleman refrigeration cycle works between pressure limits of 1 bar and 5 bar. T he adiabatic efficiency of compression is 85% and expansion is 90%. Find out the tonnage capacity when the air flow rat e is 1 kg/sec. T he ambient temperat ure is 27°C and refrigerat or temperat ure is 0°C

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 6 - Question 51

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Practice Test: Mechanical Engineering (ME)- 6 - Question 52

A 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm^{2}. T he

valve is held in position by a 180 mm diameter close coiled compression helical spring whose init ial

compression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/

mm^{2} if G = 8.5 × 10^{4} N/mm^{2}

^{__________________}

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Practice Test: Mechanical Engineering (ME)- 6 - Question 53

A pelton wheel 2.5 m diameter operates under the following conditions

Find the hydraulic efficiency _________________%

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Practice Test: Mechanical Engineering (ME)- 6 - Question 54

A cantilever beam is loaded as shown below

T he deflect ion of the free end will be

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Practice Test: Mechanical Engineering (ME)- 6 - Question 55

A pipe carry water has a tapering section where the diameter changes from 10.0 cm at section 'A' to 8.0 cm

at section 'B'. T he flow is from 'A' to 'B' and the pressure and elevation at t hese section are as follow

Find the discharge in the pipe

_______________________ L/s.

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Practice Test: Mechanical Engineering (ME)- 6 - Question 56

A thick walled cop per cylinder has an inside radius of 1 cm and an outside radius of 2 cm. T he inner and

outside surfaces are held at 310°C and 290°C respectively. Assume 'k' varie with temperature as k = 371.9

[1 – 9.25 × 10^{–5}(T – 150)] W/mK. Determine the heat lost per unit length

_______________ kW/m

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Practice Test: Mechanical Engineering (ME)- 6 - Question 57

T he rat io of the solidification time of two cylindrical risers of sizes 30 cm in diameter × 60 cm in height and

60 cm in diameter × 30 cm in height subjected to identical conditions of cooling

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Practice Test: Mechanical Engineering (ME)- 6 - Question 58

In an experiment to determine the thermal conductivity of a long solid 2.5 cm diameter rod, its base is place

in a furnace with a large portion of it projecting in to the room air at 22°C. Aft er stea dy state condition

prevail, t he temp eratrue at two point s, 10 cm apar t are found to be 110°C and 85°C respectively. T he

convective heat t ransfer coefficient between the rod surface and the surrounding air is 28.4 W/m^{2}K.

Determine the t hermal conductivit y of the rod material _________________ W/mK

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Practice Test: Mechanical Engineering (ME)- 6 - Question 59

T he vapour compression Refrigerat ion cycle is represented as shown in figure below with state (1) being

the exit of the evaporator. T he coordinate system used in this figure is

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 6 - Question 59

Practice Test: Mechanical Engineering (ME)- 6 - Question 60

The atmospheric air at 760 mm of Hg. dry bulb temperat ure 15°C and wet bulb temperat ure 11°C enters a

heating coil whose temperature is 41°C. If the by-pass factor of the heating coil is 0.5. T hen what will be the

dry bulb temperat ure of air leaving the coil 2.

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Practice Test: Mechanical Engineering (ME)- 6 - Question 61

T he modulus pa rt of (1 + i)^{8} is ______________

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Practice Test: Mechanical Engineering (ME)- 6 - Question 62

If a vector The divergence of vector is

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Practice Test: Mechanical Engineering (ME)- 6 - Question 63

Using Sim pson’s 1/3 rd rule with step size of .1, the value of is _______________.

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Practice Test: Mechanical Engineering (ME)- 6 - Question 64

The solution of the differential equation is

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Practice Test: Mechanical Engineering (ME)- 6 - Question 65

Find the v alue of λ and μ for which system of equations

x + λy + z = 3

x + 2y + 2z = μ

x + 5y + 3z = 9

has infinit e consistent solution.

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