GATE ME year:2025 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

The values of a function

obtained for different values of x are shown in the table below.

x	0	0.25	0.5	0.75	1.0
	0.9	2.0	1.5	1.8	0.4

Using Simpson’s one-third rule,

(rounded off to 2 decimal places).

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The thermal efficiency of an ideal air-standard Otto cycle is 0.5. The value of specific heat ratio of air is 1.4. The compression ratio of the cycle is ____________ (rounded off to 1 decimal place).

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During a welding operation, thermal power of 2500 W is incident normally on a metallic surface. As shown in the figure below (figure is NOT to scale), the heated area is circular. Out of the incident power, 85% of the power is absorbed within a circle of radius 5 mm while 65% is absorbed within an inner concentric circle of radius 3 mm. The power density in the shaded area is __________ W m

(rounded off to 2 decimal places).

Diagram for Mechanical Engineering question 33

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A liquid metal is poured in a mold cavity of size 200 mm × 200 mm × 200 mm. The cooling is uniform in all directions with NO additional compensation for shrinkage. Considering the volumetric shrinkage during solidification and solid contraction as 7% and 8%, respectively, the length of the cube edge after cooling down to the room temperature is ______ mm (rounded off to 1 decimal place).

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A block of mass 1 kg connected to a spring of stiffness 10 N m

is operating in a viscous medium such that the damping ratio (or damping factor) is equal to the ratio of the damped frequency to the natural frequency. The magnitude of the damping ratio for this system is ________ (rounded off to 2 decimal places).

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In the closed interval [0, 3], the minimum value of the function

given below is

Your answerChoose one option.

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Considering the actual demand and the forecast for a product given in the table below, the mean forecast error and the mean absolute deviation, respectively, are

Period	1	2	3	4	5	6	7	8	9	10
Actual demand	425	415	420	430	427	418	422	416	426	421
Forecast	427	422	416	422	423	420	419	418	430	415

Your answerChoose one option.

0.8 and 42.0

0.8 and 4.2

8.0 and 42.0

8.0 and 4.2

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Match the mold elements in the casting process with the most suitable function.

Mold element	Function
P. Blind riser	I. Cast with internal cavity
Q. Chill	II. Molten metal reservoir
R. Skim bob	III. Nucleating agent
S. Core	IV. Assisting in faster heat removal from melt
T. Insulating sleeve	V. Removal of impurities
U. Inoculant	VI. Increasing the solidification time

Your answerChoose one option.

P-II, Q-IV, R-V, S-I, T-VI, U-III

P-II, Q-V, R-VI, S-I, T-III, U-IV

P-V, Q-I, R-VI, S-III, T-II, U-IV

P-II, Q-IV, R-I, S-V, T-VI, U-III

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Wire drawing operation is performed on a perfectly plastic material without any strain hardening. Assuming no friction and no redundant work, the maximum possible percentage reduction in area in a single pass is closest to

Your answerChoose one option.

51.2

63.2

75.0

93.2

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In relation to additive manufacturing, match the following.

Process	Layer creation technique	Material
P. Stereolithography	1. Injection of powder stream	I. Paper
Q. Fused deposition modeling	2. Extrusion of melt polymer	II. Epoxy
R. Laminated object manufacturing	3. Liquid layer curing	III. Titanium
S. Laser-engineered net shape	4. Sheet material deposition	IV. Acrylonitrile butadiene styrene (ABS)

Your answerChoose one option.

P-3-II, Q-1-IV, R-4-I, S-2-III

P-3-II, Q-2-IV, R-4-I, S-1-III

P-4-III, Q-2-IV, R-1-II, S-3-I

P-3-II, Q-2-IV, R-1-I, S-4-III

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GATE ME year:2025 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40