Metallurgical Engineering - MT 2013 GATE Paper (Practice Test) - GATE MCQ

Friendship, no matter how _________it is, has its limitations. 

Select the pair that best expresses a relationship similar to that expressed in the pair: 
Medicine: Health

Q. 6 to Q. 10 carry two marks each.

X and Y are two positive real numbers such that 2X + Y  6 and X + 2Y  8. For which of the following values of (X,Y),  the function f(X,Y)=  3X + 6Y will give maximum value? 

If |4X - 7| = 5 then the values of 2|X| - |-X| is: 

Following table provides figures (in rupees) on annual expenditure of a firm for two years - 2010 and 2011.

In 2011, which of the following two categories have registered increase by same percentage?

A firm is selling its product at Rs. 60 per unit. The total cost of production is Rs. 100 and firm is earning total profit of Rs. 500. Later, the total cost increased by 30%. By what percentage the price should be increased to maintained the same profit level.  

Abhishek is elder to Savar.
Savar is younger to Anshul.

Which of the given conclusions is logically valid and is inferred from the above statements? 

USEFUL DATA
Universal gas constant, R: 8.314 J/mol/K
Acceleration due to gravity, g: 9.81 m/s²
Faraday constant, F: 96500 C/mol
Bohr magneton, μ_B: 9.273 x 10^-24 Am²

Q. 11 – Q. 35 carry one mark each.

Degree and order of the differential equation  respectively, are

As the concentration of point defects in a crystal increases, its configurational entropy

In a binary system A-B, ε_AA, ε_BB and ε_AB correspond to A-A, B-B and A-B bond energies respectively. The miscibility gap will occur if

Critical value of the Gibbs energy of nucleation at equilibrium temperature is

With respect to the matrix of Al-Cu alloys, G-P zones are

Which one of the following techniques does NOT require quenching to obtain final case hardness?

Which one of the following elements is an austenite stabilizer?

A 0.2 wt.% plain carbon steel sheet is heated and equilibrated in the inter-critical region followed by instant water quenching. The microstructure of the quenched steel sheet consists of

As compared to the engineering stress-engineering strain curve, the true stress-true strain curve for a given material

Which one of the following does NOT improve fatigue life of a steel component?

When two phases α and β in an alloy are in thermodynamic equilibrium, then

Isothermal compressibility of a material is given by

In the Ellingham diagram for oxides, C-CO line cuts the M-MO line at temperature T₁ and the M′-M′O line at a higher temperature T₂. At a temperature greater than T₁ and less than T₂, carbon can reduce

Which one of the following can give information about the corrosion rate?

In a roasting process, the set of conditions that favour sulphate formation from metal sulphide concentrates are

P. high temperature
Q. high partial pressure of oxygen
R. use of excess air
S. high partial pressure of SO₃

High top pressure in a blast furnace operation

In L-D steelmaking, the final slag can be best described as

The permeability of burden in an ironmaking blast furnace can be improved by using

For a good quality brazing, the molten filler alloy should have

Risers are NOT required for casting