Past Year Paper - Mechanical Engineering GATE : 2018 (Session - 2) - Mechanical Engineering MCQ

“The dress ________ her so well that they all immediately _________ her on her appearance.”The words that best fill the blanks in the above sentence are

“The judge’s standing in the legal community, though shaken by false allegations of wrongdoing, remained __________.”The word that best fills the blank in the above sentence is

A house has a number which needs to be identified. The following three statements are given that can help in identifying the house number.
i. If the house number is a multiple of 3, then it is a number from 50 to 59.
ii. If the house number is NOT a multiple of 4, then it is a number from 60 to 69.
iii. If the house number is NOT a multiple of 6, then it is a number from 70 to 79.

Q. What is the house number?

Forty students watched films A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?

An unbiased coin is tossed six times in a row and four different such trials areconducted. One trial implies six tosses of the coin. If H stands for head and T stands fortail, the following are the observations from the four trials:
(1) HTHTHT
(2) TTHHHT
(3) HTTHHT
(4) HHHT ___ ___.
Which statement describing the last two coin tosses of the fourth trial has the highest
probability of being correct?

A wire would enclose an area of 1936 m² , if it is bent into a square. The wire is cut intotwo pieces. The longer piece is thrice as long as the shorter piece. The long and the shortpieces are bent into a square and a circle, respectively. Which of the following choicesis closest to the sum of the areas enclosed by the two pieces in square meters?

A contract is to be completed in 52 days and 125 identical robots were employed, each
operational for 7 hours a day. After 39 days, five-seventh of the work was completed.
How many additional robots would be required to complete the work on time, if each
robot is now operational for 8 hours a day?

A frictionless gear train is shown in the figure. The leftmost 12-teeth gear is given a torque of 100 N-m. The output torque from the 60-teeth gear on the right in N-m is

For an ideal gas with constant properties undergoing a quasi-static process, which one of the following represents the change of entropy from state 1 to 2?

Select the correct statement for 50% reaction stage in a steam turbine.

In a single degree of freedom underdamped spring-mass-damper system as shown in
the figure, an additional damper is added in parallel such that the system still remains
underdamped. Which one of the following statements is ALWAYS true?

The divergence of the vector fieldis

Fatigue life of a material for a fully reversed loading condition is estimated from 
σ = 1100 N^-0.15,
Where, σ_a is the stress amplitude in MPa and is the failure life in cycles. The maximum
allowable stress amplitude (in MPa) for a life of 1 x 10⁵ cycles under the same loading
condition is __________ (correct to two decimal places).

Denoting L as liquid and M as solid in a phase-diagram with the subscripts representing different phases, a eutectoid reaction is described by

Metal removal in electric discharge machining takes place through​

Match the following products with the suitable manufacturing process

Pre-tensioning of a bolted joint is used to

The peak wavelength of radiation emitted by a black body at a temperature of 2000 K is 1.45 um. If the peak wavelength of emitted radiation changes to 2.90 um, then the temperature (in K) of the black body is

A hollow circular shaft of inner radius 10 mm, outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is __________ (correct to two decimal places).

The Fourier cosine series for an even function is given by

The value of the coefficient a₂ for the function 

1. If y is the solution of the differential equation the value of y (−1)
   is
    

If A = then det (A^-10 is _________ (correct to two decimal places).

Consider a function u which depends on position x and time t. The partial differential equation

is known as the

The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. The boundary layer thickness at the end of the plate of length L is  . When the plate length is increased to twice its original length, the percentage change in laminar boundary layer thickness at the end of the plate (with respect to ) is (correct to two
decimal places).

Feed rate in slab milling operation is equal to

The minimum axial compressive load, P, required to initiate buckling for a pinnedpinned
slender column with bending stiffness EI and length L is

During solidification of a pure molten metal, the grains in the casting near the mouldwall are