Metallurgical Engineering Gate Yearwise 



Metallurgical Engineering Gate 2025 Questions with Answer

Ques 14 GATE 2025

If Pex=Qe-x for all real values of x, which one of the following statements is true?

A

P=Q=0

B

P=Q=1

C

P=1; Q=-1

D

P/Q=0


(a) is the correct answer.

Ques 15 GATE 2025

The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?
Note: The figures shown are representative.

A

B

C

D


(a) is the correct answer.

Ques 16 GATE 2025

Let p1 and p2 denote two arbitrary prime numbers. Which one of the following statements is correct for all values of p1 and p2?

A

p1+p2 is not a prime number.

B

p1p2 is not a prime number.

C

p1+p2+1 is a prime number.

D

p1p2+1 is a prime number.


(b) is the correct answer.

Ques 17 GATE 2025

Based only on the conversation below, identify the logically correct inference:
""Even if I had known that you were in the hospital, I would not have gone there to see you"", Ramya told Josephine.

A

Ramya knew that Josephine was in the hospital.

B

Ramya did not know that Josephine was in the hospital.

C

Ramya and Josephine were once close friends; but now, they are not.

D

Josephine was in the hospital due to an injury to her leg.


(b) is the correct answer.

Ques 18 GATE 2025

If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?

A

CEADP

B

IDBFC

C

JGIBC

D

IBCEC


(b) is the correct answer.

Ques 19 GATE 2025

Which one of the following options is correct for the given data in the table?

Iteration (i)0123
Input (I)20-41015
Output (X)20162641
Output (Y)20-80-800-12000

A

X(i)=X(i-1)+I(i); Y(i)=Y(i-1)I(i); i>0

B

X(i)=X(i-1)I(i); Y(i)=Y(i-1)+I(i); i>0

C

X(i)=X(i-1)I(i); Y(i)=Y(i-1)I(i); i>0

D

X(i)=X(i-1)+I(i); Y(i)=Y(i-1)I(i-1); i>0


(d) is the correct answer.

Ques 20 GATE 2025

In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square.
What is the area (in cm2) of the rectangle PLMN?
Note: The figure shown is representative.

A

2√2

B

2

C

8

D

4


(c) is the correct answer.

Ques 21 GATE 2025

The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?
Note: The figure shown is representative.

A

Bridges on P, Q, and T

B

Bridges on P, Q, S, and T

C

Bridges on Q, R, T, and V

D

Bridges on P, Q, S, U, and V


(c) is the correct answer.

Ques 22 GATE 2025

Radiative heat flux ˙q at a hot surface at a temperature Ts can be expressed as ˙q=A f(Ts,T∞)(Ts-T∞), where A is a constant and T∞ is the temperature of the surroundings (temperatures are expressed in K).
The function f(Ts,T∞) is given by

A

(Ts+T∞)2(Ts-T∞)

B

(Ts2+T∞2)(Ts+T∞)

C

(Ts2-T∞2)(Ts+T∞)

D

(Ts-T∞)2(Ts+T∞)


(b) is the correct answer.

Ques 23 GATE 2025

Temperatures at two sides of a 0.4 m thick copper plate are 1000 and 500°C.
Assuming steady state, one-dimensional conductive heat transfer through the wall and ignoring end-effects, the magnitude of the heat flux through the wall is ______ ×105 Wm-2 (in integer).
Given: Thermal conductivity of copper is 400 W m-1K-1


(5) is the correct answer.

Ques 24 GATE 2025

In metal casting, which one of the following gating ratios (sprue-runner-gate area ratio) represents a non-pressurized gating system?

A

1:2:3

B

3:2:1

C

4:3:1

D

5:4:1


(a) is the correct answer.

Ques 25 GATE 2025

Which of the following techniques can be used to detect an internal defect in a metal casting?

A

Ultrasonic inspection

B

Liquid (or dye) penetrant inspection

C

Gamma-ray radiography

D

X-ray radiography


(a) is the correct answer.

Ques 26 GATE 2025

Match the casting defects in Column I with the characteristic features in Column II.

Column IColumn II
P. Misrun1. Penetration of liquid metal behind surface layer of sand moulds
Q. Expansion scab2. Metal solidifies prematurely in the mould and some sections of the casting are not filled
R. Pin holes3. Cracking because of restraint to contraction in certain areas of the casting during solidification and cooling to room temperature
S. Hot tearing4. Evolution of gases during solidification resulting in porosity

A

P-2,Q-4,R-3,S-1

B

P-1,Q-3,R-2,S-4

C

P-1,Q-2,S-3,R-4

D

P-2,Q-1,R-4,S-3


(d) is the correct answer.

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