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GATE ME 2021 : Full Syllabus Rapid Mock-4 (App update required to attempt this test)

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Question 1

For the cantilever beam as shown, the deflection at free end is given by _______.

Question 2

In an Otto cycle, the compression ratio increase from 8 to 10. The efficiency will increase by ____ %.(Take γ=1.4)

Question 3

In a 2-D CAD package, Clockwise circular arc specified from P ₁ (15, 10) to P₂ (10, 15) have its centre at (15, 15). The radius of arc is

Question 4

A heat engine receives heat from a source at 1500 K at a rate of 450 kW and rejects the waste heat to a medium at 300 K. The power output of the heat engine is 180 kW. Determine the irreversibility rate for this process _________.

Question 5

Question 6

The degree of freedom of the given mechanism is __________

Question 7

In the following question choose the word opposite in meaning to the given word.
EMACIATED

Question 8

For a canteen, the actual demand for disposable cups was 500 units in January and 600 units in February. The forecast for the month of January was 400 units. The forecast for the month of March considering smoothing coefficient as 0.75 is _________

Question 9

A single degree of freedom system has a mass of 3Kg , stiffness 10 N/m and viscous damping ratio 0.the dynamic magnification factor at an excitation frequency of 1.9 rad/sec_____

Question 10

Consider a special curve in three-dimensional space given in parametric form by

.
The length of the curve is ________

Question 11

For

the particular integral is ____________.

Question 12

Find out the average life L₅₀ of roller bearings in million revolutions when subjected to a radial force of 2500 N and axial load of 2500 N and basic dynamic capacity 22000 N.Take X=1, Y=1.( Enter the answer accurate up to two digits)

Question 13

Mild steel is being machined at a cutting speed of 200 m/min with a tool rake angle of 10°. The width of cut and uncut thickness are 2 mm and 0.2 mm respectively. If the average value of coefficient of friction between tool and chip is 0.5, shear stress of work material is 400 N/mm², cutting and thrust components of machining force are ________.

Question 14

Ambient air at 35°C, 75% relative humidity and at standard atmospheric pressure, the amount of moisture in kg/kg of dry air will be

At 35°C, saturation pressure is 0.05628 bar.

Question 15

Using Gauss- Seidel method , starting form [0,0,0] x₁+ x₂ – x₃ = 1, x₁+ 4x₂ + x₃ =15, 3x₁+ 2x₂+ 3x₃= 20 Find (2x₃+ x₂ – x₁) after two iterations approximately.

Question 16

The inertia force acting on the piston for the following slider crank mechanism will be :

Question 17

Determine the Young’s modulus (in GN/m²) of a composite containing 65 volume % of glass fibre (E_f = 70 GN/m²) in a matrix of epoxy resin (E_m= 3 GN/m²) under isostrain condition.

Question 18

A set of job are to be processed on a single machine, Obtain a sequence using Earlier Due Date (EDD) rule and also determine the Avg. No. of jobs in the system.

Question 19

A 15m long ladder is inclined at 60 degrees to the horizontal. The ladder rests on a vertical smooth wall and the horizontal surface has friction. What is the minimum coefficient of friction so that the ladder does not slide, provided weight of ladder = 100N.

Question 20

A solid aluminum shaft, 5 cm diameter and 1 m long, is to be replaced by a tubular steel shaft of the same length and the same outside diameter (i.e. 5 cm), such that each of the two shaft could have the same angle of twist per unit torsional moment over the total length. Modulus of rigidity of steel is three times that of aluminium. The inner diameter of the tubular shaft is

Question 21

In a steam power plant operating on an ideal Rankine cycle, superheated steam enters the turbine at 3 MPa and 350℃. The condenser pressure is 75 kPa. The thermal efficiency of the cycle is ________ percent.

Given data:

For saturated liquid, at P = 75 kPa, h_f = 384.39 kJ/kg, v_f = 0.001037 m3/kg, s_f = 1.213 kJ/kg‐K

At 75 kPa, h_fg = 2278.6 kJ/kg, s_fg = 6.2434 kJ/kg‐K

At P = 3 MPa and T = 350℃[Superheated steam], h = 3115.3kJ/kg, s = 6.7428 kJ/kg‐K

Question 22

The following data applies to basic shaft system:

tolerance for hole = 0.002 mm,

tolerance for shaft = 0.001 mm,

allowance = 0.003 mm,

basic size = 50 mm.

The maximum hole size is ____ mm (round off to 3 decimal places).

Question 23

A bar 12mm diameter gets stretched by 3mm under a steady load of 8000N. What stress would be produced in the same bar by a weight of 800N, which falls vertically through a distance of 8cm on to a rigid collar attached at its end? The bar is initially unstressed. Take, E=2×10⁵ N/ mm².

Question 24

A Pelton turbine is to operate under a net head of 500 m at 400 rpm. If a single jet with a diameter of 18 cm is used, find the specific speed of the machine.

Take C_v = 0.98, and overall efficiency η₀ = 0.85.

Question 25

A crank-rocker mechanism has a 70-mm fixed link, a 20- mm crank, a 50-mm coupler, and a 70-mm rocker. Ratio the maximum and minimum values of the transmission angle.

Question 26

A petrol engine is supplied with fuel which has a calorific value of 45000kJkg. The pressure in the cylinder at 30% and 70% of the compression stroke are 1.5bar and 2.8bar. Assuming that compression follows the law p

= constant, find the compression ratio.

Question 27

A pipe of diameter 300 mm and length 3500 m is used for transmission of power by water. The total head at the inlet of pipe is 500 m. The maximum power (in kW) available at outlet of pipe is _______ .(friction coefficient is 0.006 and density of water is 1000 kg/m³)

Question 28

Match list – 1 (Defects) with list – 2 (causes) and select the correct answer using the codes given below

Question 29

A fin has 5mm diameter and 100mm length. The thermal conductivity of fin material is 400Wm⁻¹K⁻¹. One end of the fin is maintained at 130 ºC and its remaining surface is exposed to ambient air at 30 ºC. if the convective heat transfer coefficient is 40Wm^-2K^-1, the heat loss (in W) from the fin is

Question 30

An epicyclic gear train is shown schematically in fig. The number of teeth on sun gear and outer ring gears are 50 and 100 respectively. The speed of arm when the outer ring gear is fixed and the sun gear rotates at 50 rpm clockwise is ____.

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