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GATE Mock Test Mechanical Engineering (ME) - 5

65 Questions MCQ Test GATE Mechanical (ME) 2022 Mock Test Series | GATE Mock Test Mechanical Engineering (ME) - 5

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This mock test of GATE Mock Test Mechanical Engineering (ME) - 5 for GATE helps you for every GATE entrance exam. This contains 65 Multiple Choice Questions for GATE GATE Mock Test Mechanical Engineering (ME) - 5 (mcq) to study with solutions a complete question bank. The solved questions answers in this GATE Mock Test Mechanical Engineering (ME) - 5 quiz give you a good mix of easy questions and tough questions. GATE students definitely take this GATE Mock Test Mechanical Engineering (ME) - 5 exercise for a better result in the exam. You can find other GATE Mock Test Mechanical Engineering (ME) - 5 extra questions, long questions & short questions for GATE on EduRev as well by searching above.
QUESTION: 1

Solution:
QUESTION: 2

Solution:

QUESTION: 3

In the following questions, a sentence has been given in direct/indirect speech. She said, “Let them play”.

Solution:
QUESTION: 4

Select the pair that best express relationship similar to that expressed in the pair.
Light : Glint

Solution:

Sound : Blare
Blare is a t ype of sound.

QUESTION: 5

A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. Aft er A has
been working it for 5 days and B for 7 days, C finishes it in 13 days. In how many days C alone will do the
work?

Solution:

QUESTION: 6

Question 6 to 10 carry Two Marks each

Q.

The sufficient condition for matrix ‘A’ to be diagonalizable is

Solution:
QUESTION: 7

If x = ya , y = zb and z = xc then abc = ?

Solution:

QUESTION: 8

Out of the four alternatives suggested select the one which is correct

Solution:
QUESTION: 9

T he value of X in the following figure is

Solution:

QUESTION: 10

The piechart shows the distribution of New York market share by volume of different computer companies in 2005.

Number of units sold in 2005 in New York = 1,500
Value of units sold in 2005 in New York = US\$ 16,50,000

Solution:

Can't be determined

QUESTION: 11

ii is of the form, where

Solution:

*Answer can only contain numeric values
QUESTION: 12

Question 11 to 35 carry One Mark each

Q.

Value of a is ____________

Solution:

*Answer can only contain numeric values
QUESTION: 13

6 boys and 6 girls sit in a row randomly. The probability that all the six girls sit together is in the form 1/a. Value of a is ______________.

Solution:

QUESTION: 14

T he Laplace transformation of eat cosh(bt) is

Solution:

*Answer can only contain numeric values
QUESTION: 15

The value of  where R is the region in the first quadrant bounded by the curve y = x2. y + x = 2 and x = 0.

Solution:

*Answer can only contain numeric values
QUESTION: 16

A straight bar 500 mm long is 30 mm in diameter for the first 350 mm length and 20mm diameter for
the remaining length. If the bar is subjected to an axial pull of 20 kN find the extension of the bar take
E = 105 N/mm2

Solution:

*Answer can only contain numeric values
QUESTION: 17

If the suface tension at the soap air int erface is 0.088 N/m. Calculate the int ernal pressure in a soap bubble of 3 cm diameter _____________Pa.

Solution:

QUESTION: 18

What is the nature of this

Solution:

QUESTION: 19

Solution:
*Answer can only contain numeric values
QUESTION: 20

In a slab temperat ure profile is given by T = 100 – 50x and heat flux is 100 W/m2. Find its conductivity ___________W/mK

Solution:

QUESTION: 21

Neutral flame is commonly used for the welding of

Solution:
QUESTION: 22

For a thermodynamic system to be in thermodynamic equilibrium which of the following can be non uniform
throughout the system

Solution:

For a system to be in thermodynamic equilibrium the temperature and chemical composition have to be uniform throughout, pressure may vary with depth. However there should be no unbalance pressure for ce present . T he increasing pressure
with depth in a fluid, should be balanced by
increasing weight.

QUESTION: 23

At triple point of water the number of independent properties required to fix the state of the system is/are

Solution:
QUESTION: 24

An increase in load at the free end of a cant ilever is likely to cause failure

Solution:

For a cantilever, maximum bending moment
occurs at the fixed end.

QUESTION: 25

A floating body displaces

Solution:

Archimedes' principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces. Archimedes' principle is a law of physics fundamental to fluid mechanics

QUESTION: 26

T he relation between the number of links   and the number of binary joint s (j) for a kinematic chain
having constrained mot ion is given by  . If the left hand side of this equation is greater than
right hand side, then the chain is

Solution:
QUESTION: 27

In a V-belt drive, the belt makes cont act at

Solution:
QUESTION: 28

Single cylinder four stroke engine has brake power of 8 kW and brake mean effective pressure of 0.55 Mpa. What is the length of cylinder which is 1.2 times of bore diameter? (n = 3000 rpm)

Solution:
QUESTION: 29

Allowance is given to all vert ical faces of a pattern for their easy removal from sand without damaging the
mould

Solution:
*Answer can only contain numeric values
QUESTION: 30

A piston cylinder device with a set of stops init ially at a pressure of 1MPa and tem perat ure of 400°C
contains 0.3 kg of water vapour stops corresponds to 60% of the initial volume. Now as the water vapour is
cooled keeping the pressure constant the compression work required will be. Take 'R' for water vapour as
0.4615 kJ/kgK. Consider water vapour as an ideal gas ______________ kJ.

Solution:

QUESTION: 31

The eccentricit y, crookedness and initial stress in columns are taken care by

Solution:
*Answer can only contain numeric values
QUESTION: 32

In a heat exchanger the hot fluid ent ers with a temperature of 200°C and leaves at 170°C. T he cooling fluid enters at 30°C and leaves at 120°C. T he capacity rat io of the heat exchanger is ______________

Solution:

*Answer can only contain numeric values
QUESTION: 33

A 40 mm flat plate is to reduced to 30 mm in a single pass cold rolling operat ion. Determine required
coefficient of frict ion. If the roll diameter is 600 mm ______________

Solution:

*Answer can only contain numeric values
QUESTION: 34

T he thickness of a plate is to be reduced from 50 mm to 25 mm in a number of cold rolling passes. T he roll
radius is 350 mm and the coefficient of friction is estimated to be 0.15. T he maximum promissible draft for
each pass ______________

Solution:

QUESTION: 35

A gas turbine plant operates on the Brayton cycle between Tmin = 300 K and Tmax = 1000K. T he cyc le
efficiency is

Solution:

QUESTION: 36

Question 36 to 65 carry Two Marks each

Q.

A 20 kN load drops from a height 'h' over a vert ical wooden pole 300 mm in diameter and 4.5 m long.
If the permissible compressive stress in wood is 16 N/mm2, what is the maximum permissible height h ?

Take E = 1.1 × 104 N/mm2 for wood.

Solution:

Instantaneous decrease in length

*Answer can only contain numeric values
QUESTION: 37

A 90 N rectangular solid block slides down a 30° inclined plane. The plane is lubrt icated by 3mm thick film
oil of specific gravit y 0.9 & viscosity 8 poise. If the contact area is 0.3m2, find the terminal velocity of the
block

Solution:

Applying Ne wton’s IInd law along t he inclined plane

QUESTION: 38

In a crank and slot ted lever quick return mot ion mechanism, the distance between the fixed centres is
240 mm and the length of the driving crank is 120 mm. Find the inclinat ion of the slotted bar with the
vertical in the extreme position and the time ratio of cutting stroke t o the return stroke, if the length of
the slot ted bar is 450 mm

Solution:

T ime ratio of cutting stroke to the return stroke

*Answer can only contain numeric values
QUESTION: 39

A single reduction spur gear having gear ratio 10 : 1 and pinion transmits 500 kW at 1800 rpm. Gear pair
have involute teeth of standard proportions of (addendum = module) and module 8mm with pressure angle
of 22.5°. Find the load on the bearings of the wheels due t o power transmitted _____________kN

Solution:

*Answer can only contain numeric values
QUESTION: 40

Two plat es having k = 220 W/mK each 2 cm thick with 20 μm surface roughness are placed in cont act at a
high pressure. Outside surface temperature s are 280°C and 260 °C. T herm al cont act resistan ce is
3.5 × 10–4 m2 K/W. Find percentage drop of temperature in each plate with respect to temperature drop at
contact roughness

______________%

Solution:

*Answer can only contain numeric values
QUESTION: 41

A blanking operation has to be performed on a 2 m thick steel to obtain 75 mm diameter pieces. If the
shear strength of the material is 450 MPa. The blanking force required ___________kN

Solution:

*Answer can only contain numeric values
QUESTION: 42

In a Room 2 fans consuming 0.18 kW and three 100 W bulbs are used at time. Air at a rate of 80 kg/hr ent er the room with an enthalpy of 84 kJ/kg and leaves at 59 kJ/kg. T he rate at which heat is to be removed by the room cooler, so as to maintain steady state is __________kW

Solution:

*Answer can only contain numeric values
QUESTION: 43

The power in (kW) required per tonne of refrigerat ion is  , where COP is the coefficient of performance then 'N' is equal to ____________________.

Solution:
QUESTION: 44

A portion of metal was removed out of a 30mm × 30mm × 90mm the centre of the ends of the bar as
shown in figure. If the permissible tensile stress is 75 N/mm2 . What would be t he value of Pmaximum

Solution:

QUESTION: 45

A wooden block in the form of a rectangular prism float with its shortest axis vert ical. The block is 40 cm
long, 20cm wide and 15 cm deep with a dept h of imersion of 12 cm. Calculate the position of the meta centre of the block

Solution:

*Answer can only contain numeric values
QUESTION: 46

In a whit worth quick return motion mechanism as shown in figure, the distance between the fixed centres
is 50 mm and the length of the driving crank is 75 mm. T he length of the slot ted lever is 150 mm and
the length of the connecting rod is 135 mm. Find the ratio of the time of cutting stroke to the t ime of
ret urn stroke

_______________

Solution:

Ratio of the time of cutting stroke to the time of return stroke

QUESTION: 47

Lewis equation in spur gears is used to find the

Solution:
QUESTION: 48

A infinit e length copper fin of k = 415 W/mK and 0.22 cm in diameter produces from a wall at 95°C int o
ambient air at 25°C. Heat transfer coefficient for free convection is e qual t o 10 W/m2K, find the heat
trasnfer from the fin

Solution:

*Answer can only contain numeric values
QUESTION: 49

During ort hogonal machining of a steel workpiece with a single point cutting tool are 10° rake angle, chip
thickness is 1.5 mm, undefined chip thickness is 0.6 mm. The shear plane area is _______________mm2

Solution:

QUESTION: 50

The subcooling in vapour compressor system can be achieved by which of the following methods.

1. Inserting the special coil between the condensor and expansion valves.
2. Circulating the greater quantity of cooling water through the condensor.
3. Using water cooler rather than circulating water.

Solution:
QUESTION: 51

A system is initially at 250 K and a heat reservoir at 125 K is available. Calculate the maximum amount of
work that can be recovered as the system is cooled down to temperat ure of reservoir. It is given that heat
capacity of sy stem is C = αT2, where is given by α = 0.045 J/K3

Solution:

*Answer can only contain numeric values
QUESTION: 52

A stepped shaft of brass shown in figure is subjected to a t orque which produces a tot al angle of twist
of 3o. What is the strain energy stored by the shaft? Take G = 3.85 × 104 N/mm2

Solution:

QUESTION: 53

A flow is described by the stream function   . Locate the point at which the velocity vector has a magnit ude of 4 unit s and makes an angle of 150° with the x-axis

Solution:

QUESTION: 54

A body of weight 300 N is lying on a rough horizontal plane having a coefficient of frict ion as 0.3. What
would be the magnitude of the force, which can move the body, while acting at an angle of 25° with the
horizontal?

Solution:

QUESTION: 55

T he shape of steam line passing through the origin in the flow field u = cosθ, v = sinθ for a constant θ, is
determine by

Solution:
QUESTION: 56

In a counterflow h eat exchanger fluid 'A' enters at 5 20°C and mass flow rate 1.2 kg/s. Fluid 'B' enters at
20°C and has a mass flow rate 1.2 kg/s. T he effectiveness of heat exchanger 0.8. Find the exit temperature
of fluid 'B'. Cp for A is 1 kJ/kgK for B is 4.5 kJ/kgK

Solution:

*Answer can only contain numeric values
QUESTION: 57

During orthogonal cutting with a 0° rack angle tool, the cutting and thrust forces were measured as 968 N
and 455 N respectively. Determine the coefficient of friction _____________

Solution:

QUESTION: 58

An IC engine cran kcase measuring 0.8 m × 0.3 m may be assumed as a flat palte. T he engine runs at a
speed of 25 m/s and the crankcase is cooled by the air flowing past it at the same speed. Calculate the heat
lost from the crankcase surface maint ained at 95°C to the ambient air at 25°C. Due to road induced vibration assume turbulent flow of air. Given: v = 17.95 × 10–6 m/s, k = 0.026 W/mK, Pr = 0.715

Solution:

QUESTION: 59

Find the percentage change in efficiency of the Ot t o cycle having a compression rat io of 7. If the Cv is
increased by 1%

Solution:

QUESTION: 60

An automobile engine operates on a fuel air rat io o f 0.05, volumet ric efficiency of 90% and indicated
thermal efficiency of 30%. Given that the calorific value of the fuel is 45 MJ/kg and the density of air at
int ake in 1 kg/m3. T he indicated mean effective pressure for the engine is

Solution:

*Answer can only contain numeric values
QUESTION: 61

For , we have y = 1 at x = 0. By using Euler method and taking the step size 0.1. Find the value
of y at x = 0.4. ______________

Solution:

*Answer can only contain numeric values
QUESTION: 62

If x + y = k is normal to y2 = 12x, t hen k is________________

Solution:

y = 6
x = 3
Point (3, 6) also lies on normal
x + y = k
3 + 6 = k
k = 9

QUESTION: 63

T he solution of the differential equation,

Solution:

*Answer can only contain numeric values
QUESTION: 64

If for a 2 × 2 matrix a11 = a12 = a21 = 1 and a22 = –1. If the eigen values of A19 can be written in the
form  then value of a × b is __________________

Solution:

QUESTION: 65

If  then the va lue of x is?

Solution: