GATE ME 2021 : Full Syllabus Rapid Mock-1 (App update required to attempt this test)
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A box contains tags marked 1, 2 ....... 100. Two tags are chosen at random without replacement. The probability that the numbers on the tags will be consecutive integers is _______.
Munendra is flying an areoplane named Lufthansa Airlines. He flew it 300km in the east direction and took left turn and flew 700km. Again he took left turn and flew 400km. Now Munendra is flying his areoplane in which direction?
For matrix the eigen value corresponding to the eigen vector  is
A system will be thermodynamic equilibrium only if it is in __________. A) Thermal equilibrium B) Mechanical equilibrium C) Chemical equilibrium
The poisson’s ratio of for a perfectly incompressible linear elastic material is
Cinsider the 2-D steady flow field
The number of stagnation points in the flow field is
The fit on a hole shaft basic system is specified as H7-q5 then this fit belongs to
If the conjugate of a complex number is then that complex number is
In the sentence, identify the segment which contains the grammatical error. If the sentence has no error, then select 'No error'.
Although hestudied regularly,his marks didn't improving.
Consider two infinitely long thin concentric tubes of circular cross section as shown in the figure. If D1 and D2 are the diameters of the inner and outer tubes respectively, then the view factor F22 is given by
A man can row at 5 km/h in still water. If the river is flowing at 1 km/h, it takes him 75 min to row to a place and back. How far is the place?
Two pipes of length 2500 m each and diameters 80 cm and 60 cm respectively, are connected in parallel. The coefficient of friction for each pipe is 0.006 . The total flow is equal to 250 liters/s, the rate of flow (in liters/s) in larger pipe is _______.
Two castings of the same metal have the same surface area. One castings is in the form of a sphere and the other is a cube. What is the ratio of the solidification time for the sphere to that of the cube?
The free body diagram of member AB is :-
Mohan and Ramesh working together do a piece of work in 20 days. Mohan alone can do it in 28 days. Ramesh alone will do the work in
In an industrial application, FEA analysis was integrated with failure theories to design materials. So the equation derived or used for safe design is;
A project consists of six activities. The immediate predecessor of each activity and the estimated duration is also provided in the table below:
If all activities other than S take the estimated amount of time, the maximum duration (in weeks) of the activity S without delaying the completion of the project is ___________
The following table showing the percentage of the total population of a state in different age groups.
Out of every 50,000 people, find the approximate number of persons below the age of 35?
In an ideal VCR cycle of used R- 134A as refrigerant used as a heat pump. The enthalpy at inlet to compressor and exit of compressor are 110kJ/kg and 235kJ/kg respectively. The enthalpy at exit of condenser is 95kJ/kg. If work input to compressor in 5kW then calculate rate of heat extraction from evaporator(kW) and COP of heat pump.
In compressor of a Refrigerator, air enters in the axial flow compressor & leaves the compressor axially. Calculate the degree of reaction, if the component of air responsible for whirl is leaving the compressor at one-third the average blade velocity of rotor if the flow velocity at inlet and outlet remain same.
2 kg of air initially at 7 bar pressure and 400 K expands polytropically (PV1.2 = Constant) until the pressure is reduced to one-fifth value.The change in entropy (in kJ/K ) is _____. (Take R= 0.287 kJ/kgK and γ=1.4)
A 20° full depth involute system have a pinion of diameter 300 mm and number of teeth on pinion is 60. If the length of line of action is 20 mm, then the contact ratio is _______.
The radius of gyration of a double symmetric cross-section pinned-pinned column is 350mm. The distance between two point of contraflexure along its length is 10m. The slenderness ratio of the given column is _____.(correct to two decimal place)
Solution of y dx − x dy = x2y dx is
P is an orthogonal matrix and A is a periodic matrix with period 4 and Q=PAPT. If PT Q2003P is equal to Aa, then the value of ‘a’ is _________.
A flywheel of moment of inertia 9.8 kg m2 fluctuates by 30 rpm, if the fluctuation in the speed is not to exceed ±3%, Then the mean angular speed of the flywheel is. Take ∆E = 3 kJ
A machine tool company decides to make four sub-assemblies through three contractors differing in efficiency. Given below are the estimates of the time in hours matrix. The minimum time in minutes is?
Steam flows at the rate of 5at a particular section in a reaction turbine where the diameter of blade is 2m and the velocity of flow is 6m/s.What is the blade height of section _________mm.
For a vibration system, equation of motion is given as The value of frequency of damped vibration is __________ (in rad/s).
A block moves horizontally on a smooth surface with a speed of 40 m/s break into two equal parts move continuing in same direction. If one of the parts moves with 50 m/s velocity then fractional change in kinetic energy is