Mechanical Gate 2021 Set-2 Questions

Five persons P, Q, R, S and T are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and T cannot be seated at either end of the row. P should not be seated adjacent to S. R is to be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is:

a) 2
b) 3
c) 4
d) 5

Consider the following sentences:
(i) The number of candidates who appear for the GATE examination is staggering.
(ii) A number of candidates from my class are appearing for the GATE examination.
(iii) The number of candidates who appear for the GATE examination are staggering.
(iv) A number of candidates from my class is appearing for the GATE examination.

Which of the above sentences are grammatically CORRECT?

a) (i) and (ii)
b) (i) and (iii)
c) (ii) and (iii)
d) (ii) and (iv)

A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds. They beeped together at 10 AM.
The immediate next time that they will beep together is

a) 10.08 AM
b) 10.42 AM
c) 11.00 AM
d) 10.00 PM

A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds. They beeped together at 10 AM.
The immediate next time that they will beep together is

a) 10.08 AM
b) 10.42 AM
c) 11.00 AM
d) 10.00 PM

The front door of Mr. X’s house faces East. Mr. X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr. X is now located at with respect to the starting point is

a) South-East
b) North-East
c) West
d) North-West

Given below are two statements 1 and 2, and two conclusions I and IT.
Statement 1: All entrepreneurs are wealthy.
Statement 2: All wealthy are risk seekers.

Conclusion I: All risk seekers are wealthy.
Conclusion II: Only some entrepreneurs are risk seekers.
Based on the above statements and conclusions, which one of the following options is CORRECT?

a) Only conclusion I is correct
b) Only conclusion II is correct
c) Neither conclusion I nor II is correct
d) Both conclusions I and II are correct

A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is

a)

Consider a square sheet of side 1 unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded along its line of symmetry. The area of each face of the final folded shape, in square units, equal to

a)

a)

If the Laplace transform of a function f(t) is given by

a) 0
b)

Which of the following is responsible for eddy viscosity (or turbulent viscosity) in a turbulent boundary layer on a flat plate?

a) Nikuradse stresses
b) Reynolds stresses
c) Boussinesq stresses
d) Prandtl stresses

In forced convective heat transfer, Stanton number (St), Nusselt number (Nu), Reynolds number (Re) and Prandtl number (Pr) are related as

a) st=

A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path is

a) 3
b) 9
c) 27
d) 81

In a CNC machine tool, the function of an interpolator is to generate

a) signal for the lubrication pump during machining
b) error signal for tool radius compensation during machining
c) NC code from the part drawing during post processing
d) reference signal prescribing the shape of the part to be machined

The machining process that involves ablation is

a) Abrasive Jet Machining
b) Chemical Machining
c) Electrochemical Machining
d) Laser Beam Machining

The allowance provided in between a hole and a shaft is calculated from the difference between

a) lower limit of the shaft and the upper limit of the hole
b) upper limit of the shaft and the upper limit of the hole
c) upper limit of the shaft and the lower limit of the hole
d) lower limit of the shaft and the lower limit of the hole

The Cast Iron which possesses all the carbon in the combined form as cementite is known as

a) Grey Cast Iron
b) Spheroidal Cast Iron
c) Malleable Cast Iron
d) White Cast Iron

The size distribution of the powder particles used in Powder Metallurgy process can be determined by

a) Laser scattering
b) Laser reflection
c) Laser absorption
d) Laser penetration

The world is going through the worst pandemic in the past hundred years. The air travel industry is facing a crisis, as the resulting quarantine requirement for travelers led to weak demand.
In relation to the first sentence above, what does the second sentence do?

a) Restates an idea from the first sentence.
b) Second sentence entirely contradicts the first sentence.
c) The two statements are unrelated.
d) States an effect of the first sentence.