Mechanical Engineering Gate 2020 Set-2 Questions

While I agree ________ his proposal this time, I do not often agree ______ him.

a) with, to
b) to, with
c) with, with
d) to, to

The recent measures to improve the output would ______ the level of production to our satisfaction.

a) increase
b) tequalise
c) decrease
d) speed

It was estimated that 52 men can complete a strip in a newly constructed highway Q.2 connecting cities P and Q in 10 days. Due to an emergency, 12 men were sent to another project. How many number of days, more than the original estimate, will be required to complete the strip?

a) 3 days
b) 5 days
c) 10 days
d) 13 days

Select the word that fits the analogy:
White : Whitening : : Light : ________.

a) Lightening
b) Lightning
c) Enlightening
d) Lighting

In one of the greatest innings ever seen in 142 years of Test history. Ben Stokes upped Q.7 the tempo in a five-and-a-half hour long stay of 219 balls including 11 fours and 8 sixes that saw him finish on a 135 not out as England squared the five-match series. Based on their connotations in the given passage, which one of the following meanings DOES NOT match?

a) squared = lost
b) tempo = enthusiasm
c) upped = increased
d) saw = resulted in

Climate change and resilience deal with two aspects - reduction of sources of nonrenewable Q.9 energy resources and reducing vulnerability of climate change aspects. The terms 'mitigation' and 'adaptation' are used to refer to these aspects, respectively.
Which of the following assertions is best supported by the above information?

a) Adaptation deals with causes of climate change.
b) Mitigation deals with consequences of climate change.
c) Adaptation deals with actions taken to combat green-house gas emissions
d) Mitigation deals with actions taken to reduce the use of fossil fuels.

It was estimated that 52 men can complete a strip in a newly constructed highway Q.2 connecting cities P and Q in 10 days. Due to an emergency, 12 men were sent to another project. How many number of days, more than the original estimate, will be required to complete the strip?

a) 13 days
b) 5 days
c) 10 days
d) 3 days

Which of the following conditions is used lo determine the stable equilibrium of all partially submerged floating bodies?

a) Centre of buoyancy must be below the centre of gravity
b) Metacentre must be at a higher level than the centre of gravity
c) Centre of buoyancy must be above the centre of gravity
d) Metacentre must be at a lower level than the centre of gravity

In the space above the mercury column in a barometer tube, the gauge pressure of the vapour is

a) zero
b) negative
c) positive, but less than one atmosphere
d) positive, but more than one atmosphere

In Materials Requirement Planning, if the inventory holding cost is very high and the setup cost is zero, which one of the following lot sizing approaches should be used?

a) Lot-for-Lot
b) Fixed Period Quantity, for 2 periods
c) Economic Order Quantity
d) Base Stock Level

For an air-standard Diesel cycle,

a) heat addition is at constant volume and heat rejection is at constant pressure
b) heat addition is at constant volume and heat rejection is at constant volume
c) heat addition is at constant pressure and heat rejection is at constant volume
d) heat addition is at constant pressure and heat rejection is at constant pressure

The process, that uses a tapered horn to amplify and focus the mechanical energy for machining of glass, is

a) electrical discharge machining
b) abrasive jet machining
c) ultrasonic machining
d) electrochemical machining

Two plates, each of 6 mm thickness, are to be butt-welded. Consider the following processes and select the correct sequence in increasing order of size of the heat affected zone
1. Arc welding
2. MIG welding
3. Laser beam welding
4. Submerged arc welding

a) 3-2-4-1
b) 1-4-3-2
c) 1-2-3-4
d) 4-3-2-1

A bolt head has to be made at the end of a rod of diameter d = 12 mm by localized forging (upsetting) operation. The length of the unsupported portion of the rod is 40 mm. To avoid buckling of the rod, a closed forging operation has to be performed with a maximum die diameter of ________ mm

Which one of the following statements about a phase diagram is INCORRECT?

a) Relative amount of different phases can be found under given equilibrium conditions
b) Solid solubility limits are depicted by it
c) It gives information on transformation rates
d) It indicates the temperature at which different phases start to melt

The sum of two normally distributed random variables X and Y is

a) always normally distributed
b) normally distributed, only if X and Y have the same standard deviation
c) normally distributed, only if X and Y have the same mean
d) normally distributed, only if X and Y are independent

Let I be a 100 dimensional identity matrix and E be the set of its distinct (no value appears more than once in E) real eigenvalues. The number of elements in E is ______.

A fair coin is tossed 20 times. The probability that 'head' will appear exactly 4 times in the first ten tosses, and ‘tail’ will appear exactly 4 times in the next ten tosses is ______ (round off to 3 decimal places).

The number of qualitatively distinct kinematic inversions possible for a Grashof chain with four revolute pairs is

a) 1
b) 2
c) 3
d) 4

If a reversed Carnot cycle operates between the temperature limits of 27°C and –3°C, then the ratio of the COP of a refrigerator to that of a heat pump (COP of refrigerator/ COP of heat pump) based on the cycle is __________ (round off to 2 decimal places).

A hollow spherical ball of radius 20 cm floats in still water, with half of its volume submerged. Taking the density of water as 1000 kg/m³, and the acceleration due to gravity as 10 m/s², the natural frequency of small oscillations of the ball, normal to the water surface is _________ radians/s (roundoff to 2 decimal places).