Metallurgical Engineering - MT 2012 GATE Paper (Practice Test) - GATE MCQ

If (1.001)¹²⁵⁹ = 3.52 and (1.001)²⁰⁶² = 7.85, then (1.001)³³²¹ =

One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one of the following is INCORRECT?
I requested that he should be given the driving test today instead of tomorrow.

Q. 6 - Q. 10 carry two marks each.
Q. The data given in the following table summarizes the monthly budget of an average household.

The approximate percentage of the monthly budget NOT spent on savings is

There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is

Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is

A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is

One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them.

Which one of the following statements best sums up the meaning of the above passage?

Useful Data
Universal gas constant R = 8.314 J/mol.K
Planck’s constant h = 6.63*10^-34 J.s
Acceleration due to gravity g = 9.8 m/s²

Q. 11 – Q. 35 carry one mark each.

A is a 2 * 2 matrix with det A = 2. The det (2A) is

A is a 2 * 2 matrix given below:

The eigenvalues of A are

In a production facility, iron rods are made with a mean diameter of 6 cm and standard deviation of 0.02 cm. If a large number of rods are tested, the approximate percentage of rods whose sizes fall in the range of 5.98 cm to 6.02 cm is

Which one of the following methods is NOT used for numerical integration?

How many boundary conditions are required to solve the following equation?

When a zinc metal rod is immersed in dilute hydrochloric acid, it results in

A fluid is flowing with a velocity of 0.5 m/s on a plate moving with a velocity of 0.01 m/s in the same direction. The velocity at the interface of the fluid and plate is

Hot metal at 1700 K is poured in a sand mould that is open at the top. Heat loss from the liquid metal takes place by

Which one of the following is an equilibrium defect?

Floatation beneficiation is based on the principle of

Copper can be reduced from acidic copper sulphate solution by

Which one is NOT an agglomeration process?

During LD blow in steelmaking the impurity that gets removed first is

During the solidification of a pure metal, it was found that dendrites are formed. Assuming that the liquid-solid interface is at the melting temperature, the temperature from the interface into the liquid

A peak in the X-ray diffraction pattern is observed at 2θ = 78°, corresponding to {311} planes of an fcc metal, when the incident beam has a wavelength of 0.154 nm. The lattice parameter of the metal is approximately

If d is the inter-planar spacing of the planes {h k l}, the inter-planar spacing of the planes {nh nk nl}, n being an integer, is

As temperature increases, the electrical resistivities of pure metals (ρ_m) and intrinsic semiconductors (ρ_s) vary as follows

At equilibrium spacing in a crystalline solid, which of the following is true for net inter-atomic force (F) and potential energy (U)

The property of a material that CANNOT be significantly changed by heat treatment is

A unit dislocation splits into two partial dislocations. The correct combination of the Burgers vectors of the partial dislocations for a given unit dislocation having Burgers vector