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# GATE ME 2021: Toppers Mini Mock Quiz 2 (App update required to attempt this test)

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Question 1

For the particular integral is ____________.

Question 2

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:

Question 3

I’ve taken the obvious step. Identify the adjective.

Question 4

Choose the most appropriate alternative from the options given below to complete the following sentence:
Suresh’s dog is the one _________ was hurt in the stampede.

Question 5

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

Question 6

Study the table carefully to answer the questions that follow. What is the total sum of expenditure on research work, purchase of overhead projectors for Ph.D. classes and purchase of book for library together?

Question 7

Consider a special curve in three-dimensional space given in parametric form by .
The length of the curve is ________

Question 8

If A and B together can complete a work in 12 days, B and C together in 15 days and C and A together in 20 days, then B alone can complete the work in

Question 9

In a certain animal husbandry weight of animals had a distribution as shown in table below: Mean weight of animals in the husbandry is______.

Question 10

Which one of the following options is the closest in meaning to the word given below ?
Mitigate

Question 11

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 12

In a reducer gear, 5 kW input was given at the input end at a speed of 1500 rpm. If the speed reduction in this unit is 10 : 1 and efficiency is 85% then what will be the output torque (Nm)?

Question 13

The melting efficiency in case of arc welding of steel with a potential of 20 V and current of 200 A is to be calculated. The travel speed is 5 mm/s and the cross-sectional area fo the joint is 20 mm2. Heat required to melt steel may be taken as 10 J/mm3 and the heat transfer efficiency as 0.85. The melting efficiency will be ______.

Question 14

The ratio of Euler’s buckling loads of columns with the same parameters having (i) both ends fixed, and (ii) both ends hinged is

Question 15

For a rectangular cross section cantilever beam loaded with a point load at the free end, how should the thickness of the rectangle cross section vary along the longitudinal direction(z) so that it makes a perfect circular arc under the load imposed?

Question 16

In a flywheel, Cf represents coefficient of speed fluctuation, then which among the following expression will show ratio of ωmax / ωmin:

Question 17

In a spring mass system, The mass is 0.9 kg and the stiffness of the spring is 1kN/m. By introducing a damper, the frequency of oscillation is found to be 90% of the original value, what is the damping coefficient of the damper?

Question 18

A pinion having 24 teeth and a gear having 36 teeth are in mesh having module of 8 mm and addendum for each is 7.5 mm. If the pinion rotates with an angular velocity of 300 rpm. Find the path of approach of the gear arrangement in mm. (pressure angle is 18° )

Question 19

Blind holes of 20 mm diameter, 100 mm deep are being drilled in steel block. Drilling spindle speed is 600 rpm, feed is 0.2 mm/rev, point angle of drill is 135 °. During this operation, the drill wears out after producing 300 holes. Taylor’s tool life equation is of the form VT0.3 = C, where V = cutting speed in m/min and T = tool life in minutes Taylor’s constant C will be _____.

Question 20

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 ____. Question 21

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 22

In an Otto cycle, the compression ratio increase from 8 to 10. The efficiency will increase by ____ %.

Question 23

A company is offered the following price breaks for order quantity. Ordering cost is Rs.60 per order while the holding cost is 10% of the purchase price. Determine the EOQ, if the annual requirements is 1000 units.

Question 24

For the following project network diagram Standard deviation (σ) along critical path is 3.02. The duration which will have 95% confidence for project completion is ____ days.
[For standard normal Z = 1.645]

Question 25

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, hf = 384.39 kJ/kg, vf = 0.001037 m3/kg, sf = 1.213 kJ/kgK
At 75 kPa, hfg = 2278.6 kJ/kg, sfg = 6.2434 kJ/kgK
At P = 3 MPa and T = 350[Superheated steam], h = 3115.3kJ/kg, s = 6.7428 kJ/kgK

Question 26

A machine element is subjected to the following bi-axial state of stress: MPa; ; If the yield strength of the material is 100 MPa, the factor of safety as per Tresca’s maximum shear stress theory is

Question 27

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 28

For a two-dimensional flow, the velocity field is where i and j are the basis vectors in the x-y Cartesian coordinate system. Identify the CORRECT statements from below.
(1) The flow is incompressible.
(3) y-component of acceleration, (4) x-component of acceleration, Question 29

For the linear programming problem:
Maximize Z = 3X1 + 2X2
Subject to
-2X1 + 3X2 ≤ 9
X1 - 5X2 ≥ -20
X1, X2 ≥ 0
The above problem has

Question 30

Air at 1bar, 25°C flows into a gas turbine power plant at a velocity of 120 m/s through an opening of 0.12 cross-sectional area. The air is compressed heated, expanded through a turbine, and exhausted at 0.15 MPa, 180°C through an opening of 0.10 cross-sectional area. The power output is 360 kW. Calculate the net amount of heat added to the air in kJ/kg. Assume that air obeys the law

PV = 0.287 (t + 273)

Where p is the pressure in kPa, v is the specific volume in /kg, and t is

the temperature in °C. Take Cp = 1.005 kJ/kg K.

Question 31

A Brayton cycle (air standard) has a pressure ratio of 4 and inlet conditions of one standard atmosphere pressure and 27 °C. Find the air flow rate required for 100 kW power output if the maximum temperature in the cycle is 1000 °C. Assume γ =1.4 and Cp = 1.0 kJ/kg –K

Question 32

The thickness of a metallic sheet is reduced from an initial value of 18 mm to a final value of 12 mm in one single pass rolling with a pair of cylindrical rollers each of diameter of 200 mm. The bite angle is

Question 33

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 34

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 35

A vapor compression system operates in the following manner:

The refrigerant which leaves the evaporator enters the compressor in saturated vapor condition at . Also, at C, the specific enthalpies of saturated liquid and vapor are 50 kJ/kg and 250 kJ/kg respectively. The refrigerant leaving the compressor has a specific enthalpy of 300 kJ/kg. At the condenser exit, refrigerant is throttled to the evaporator pressure. Given that the coefficient of performance of the refrigerator is 2.8, the dryness fraction of the refrigerant entering the evaporator is ________

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