Metallurgical Engineering Gate Yearwise 



Metallurgical Engineering Gate 2024 Questions with Answer

Ques 14 GATE 2024

For positive non-zero real variables p and q, if
log(p2 + q2) = log p + log q + 2 log 3,
then the value of (p4 + q4)/p2q2 is _______.

A

79

B

81

C

9

D

83



Ques 15 GATE 2024

In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
Steve was advised to keep his head ____(i) ____ before heading ______(ii) _____ to bat; ____(iii) _____ batting, he could only do so with a cool head _____(iv) _____ his shoulders.

A

(i) down (ii) down (iii) on (iv) on

B

(i) on (ii) down (iii) for (iv) on

C

(i) down (ii) out (iii) on (iv) between

D

(i) on (ii) in (iii) while (iv) over



Ques 16 GATE 2024

A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken.
Then, the ratio of the volume of the cylindrical tube to the volume of the cube is _______.

A

1/π

B

2/π

C

3/π

D

4/π



Ques 17 GATE 2024

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.

The typical energy density (kcal/g) of these macronutrients is given in the table.
The total fat (all three types), in grams, this person consumes is __________.

A

44.4

B

77.8

C

100

D

3,600



Ques 18 GATE 2024

A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is _______.

A

18

B

24

C

20

D

21



Ques 19 GATE 2024

The least number of squares to be added in the figure to make AB a line of symmetry is

A

6

B

4

C

5

D

7



Ques 20 GATE 2024

Match the laws listed in Column I with the corresponding material properties listed in Column II

A

P – 2, Q – 1, R – 4, S – 3

B

P – 4, Q – 3, R – 1, S – 2

C

P – 2, Q – 4, R – 1, S – 3

D

P – 4, Q – 3, R – 2, S – 1



Ques 21 GATE 2024

If in an A-B solid solution, the activity and mole fraction of A are given by aA and XA respectively, then the activity coefficient of A is given by _______.

A

aA/XA

B

XA/aA

C

aAXA

D

αAXA2



Ques 22 GATE 2024

As shown in the figure, two rods of different metals of equal lengths L/2, diameter d (d << L), and constant thermal conductivities k1 and k2 (with k1 > k2) are connected perfectly (i.e., zero interface thermal resistance).

The left and right ends of the connected rod are maintained at temperatures T1 and T2 (T1 > T2). Assume that the rods are insulated from the environment, apart from the two flat ends. Which one of the following graphs represents the temperature distribution at steady-state? The thickest line shows the temperature profile. The horizontal axis shows the distance from the left end of the rod to the right and the vertical axis denotes temperature.

A

B

C

D



Ques 23 GATE 2024

Wet high intensity magnetic separators (WHIMS) are used to concentrate _______.

A

fine (< 75 μm) paramagnetic minerals.

B

coarse (> 75 μm) ferromagnetic minerals.

C

coarse (> 75 μm) paramagnetic minerals.

D

fine (< 75 μm) ferromagnetic minerals.



Ques 24 GATE 2024

Which one of the following reagents is NOT used in froth flotation process?

A

Lixiviants

B

Collectors

C

Activators

D

Depressants



Ques 25 GATE 2024

Which one of the following reactions is the Boudouard's reaction?
Given: (s): solid, (l): liquid; (g): gas

A

C(s) + H2O(l) → H2(g) + CO(g)

B

C(s) + O2(g) → CO2(g)

C

C(s) + CO2(g) → 2CO(g)

D

2C(s) + O2(g) → 2CO(g)



Ques 26 GATE 2024

Which one of the following processes is NOT related to the extraction and refining of titanium from ilmenite ore?

A

Pidgeon's process

B

Sorel process

C

Van Arkel process

D

Kroll's process



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