Metallurgical Engineering - MT 2016 GATE Paper (Practice Test) - GATE MCQ

(x % of y) + (y % of x) is equivalent to _______________.

The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number.

Q. 6 – Q. 10 carry two marks each.

Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested with them. The rates of interest offered by these companies may differ from year to year. Year-wise annual rates of interest offered by these companies are shown by the line graph provided below.

If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts received after one year as interests from companies P and Q would be in the ratio:

Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the availability of evidence today.

Which of the following can be logically inferred from the above sentences?

Fact 1: Humans are mammals. Fact 2: Some humans are engineers. Fact 3: Engineers build houses. If the above statements are facts, which of the following can be logically inferred?

I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.

A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the lateral surface area of the pyramid?

Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.

Useful Data:
Gas constant (R) 8.314 J.mol^-1K^-1
Acceleration due to gravity (g) 9.81 m².s^-1
Atomic weight of oxygen 16 g.mol^-1
Atomic weight of silicon 28 g.mol^-1
Atomic weight of iron 56 g.mol^-1

Q. 11 – Q. 35 carry one mark each.

For the transformation shown below, if one of the eigenvalues is 6, the other eigenvalue of the matrix is ______

The solution of the differential equation 

[where, C, C₁ and C₂ are constants]

If 

The first law of thermodynamics can be stated as

[where, E, Q and W denote internal energy, heat and work, respectively]

In a typical Ellingham diagram for the oxides, the C + O₂ = CO₂ line is nearly horizontal because

Activation energy of a chemical reaction, homogeneous or heterogeneous, is graphically estimated from a plot between

[where, k is the rate constant and T is the absolute temperature]

The passive film in stainless steel forms above the

During the roasting of a sulfide ore of a metal M, the possible solid phases are M, MS, MO and MSO₄. Assuming that both SO₂ and O₂ are always present in the roaster, the solid phases that can co-exist at thermodynamic equilibrium are

Match the entities in Column I with the corresponding processes in Column II.

A sub-lance is used to monitor composition and temperature in

The chemical formula of wüstite is

The lattice parameter of face-centered cubic iron (γ-Fe) is 0.3571 nm. The radius (in nm) of the octahedral void in γ-Fe is ___________

For an ideal hexagonal-closed packed structure, the c/a ratio and packing efficiency respectively are

A schematic of X-ray diffraction pattern of a single phase cubic polycrystal is given below. The miller indices of peak A is

Which of the following cooling curves (shown in schematic) in an eutectoid steel will produce 50% bainitic structure?

The Burger’s vector of a dislocation in a cubic crystal (with lattice parameter a) is a/2(110) and dislocation line is along [112] direction. The angle (in degrees) between the dislocation line and its Burger’s vector is_______

For the tensile stress-strain curve of a material shown in the schematic, the resilience (in MPa) is _________

A plastically deformed metal crystal at low temperature exhibits wavy slip line pattern due to

Creep resistance decreases due to

The operation NOT associated with casting is