Metallurgical Engineering Gate 2023 Questions with Answer

Ques 14 GATE 2023

A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line.
The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry? (The figure is representative)

Ques 15 GATE 2023

Human beings are one among many creatures that inhabit an imagined world. In this imagined world, some creatures are cruel. If in this imagined world, it is given that the statement "Some human beings are not cruel creatures" is FALSE, then which of the following set of statement(s) can be logically inferred with certainty?
(i) All human beings are cruel creatures.
(ii) Some human beings are cruel creatures.
(iii) Some creatures that are cruel are human beings.
(iv) No human beings are cruel creatures.

Ques 16 GATE 2023

To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2.
If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?

Ques 17 GATE 2023

The World Bank has declared that it does not plan to offer new financing to Sri Lanka, which is battling its worst economic crisis in decades, until the country has an adequate macroeconomic policy framework in place. In a statement, the World Bank said Sri Lanka needed to adopt structural reforms that focus on economic stabilisation and tackle the root causes of its crisis. The latter has starved it of foreign exchange and led to shortages of food, fuel, and medicines. The bank is repurposing resources under existing loans to help alleviate shortages of essential items such as medicine, cooking gas, fertiliser, meals for children, and cash for vulnerable households.
Based only on the above passage, which one of the following statements can be inferred with certainty?

Ques 18 GATE 2023

The coefficient of x⁴ in the polynomial (x-1)³(x-2)³ is equal to _______.

Ques 19 GATE 2023

Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.

Ques 20 GATE 2023

At one atmosphere pressure, α-Fe transforms to γ-Fe above 912 °C. Density of γ-Fe is more than that of α-Fe. Choose the correct statement.

Ques 21 GATE 2023

Formation of an ideal solution leads to _______.

Ques 22 GATE 2023

At one atmosphere pressure, iron (Fe) and nickel (Ni) oxidize as
2Fe + O₂ ↔ 2FeO with ΔG° = -527400 + 128 T Joules,
2Ni + O₂ ↔ 2NiO with ΔG° = -471200 + 172 T Joules.
Identify the correct statement.
Given: Temperature, T is in Kelvin

Ques 23 GATE 2023

For laminar fluid flow through a smooth circular tube, the relation between friction factor (f) and Reynolds number (Re) is _______.

Ques 24 GATE 2023

Among the following options, a process for liquid-liquid separation is _______.

Ques 25 GATE 2023

The most effective concentration step for sulfide ores is _______.

Ques 26 GATE 2023

The gas distribution in a blast furnace is controlled by the shape of _______ zone.