Mechanical Engineering Gate Yearwise
Mechanical Engineering GATE 2025 Questions with Answer
Ques 40 Manufacturing Engineering
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 mm-2 (rounded off to 2 decimal places).

Ques 41 Manufacturing Engineering
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).
Ques 42 Manufacturing Engineering
Match the mold elements in the casting process with the most suitable function
Mold element | Function |
P Blind riser | I Casting 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 |
Ques 43 Manufacturing Engineering
Wire drawing operation is performed on a perfectly plastic metal 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
Ques 44 Manufacturing Engineering
In relation to additive manufacturing, match the following
Process | Material | Layer creation technique |
P Stereolithography | 1 Injection of powder stream | I Paper |
Q Fused deposition modeling | 2 Extrusion of melted polymer | II Epoxy |
R Laminated object manufacturing | 3 Liquid layer curing | III Titanium |
S Laser-engineered net shaping | 4 Sheet material deposition | IV Acrylonitrile butadiene styrene (ABS) |
Ques 45 Manufacturing Engineering
A plate of 30 mm thickness is fed through a rolling mill with two powered rolls. Each roll has a diameter of 500 mm. The plate thickness is to be reduced to 27 mm in a single pass. Assume no change in width. The process feasibility and the maximum draft (in mm) can be represented, respectively, as
Use the coefficient of friction as 0.12
Ques 46 Manufacturing Engineering
Two metal parts (a cylinder and a cube) of same volume are cast under identical conditions. The diameter of the cylinder is equal to its height. The ratio of the solidification time of the cube to that of the cylinder is ______ (rounded off to 2 decimal places). Assume that solidification time follows Chvorinov's rule with an exponent of 2.
Ques 47 Manufacturing Engineering
Cylindrical workpieces of diameter 60 mm and length 400 mm are machined on a lathe at a cutting speed of 25 m min-1 and a feed of 0.2 mm rev-1. The Taylor's tool life parameters C and n for this setup are 75 and 0.25, respectively. The tool changing time is 3 minutes. With a labor and overhead cost of ¥5 per minute, the tool changing cost per piece is ______ (rounded off to 2 decimal places).
Ques 48 Solid Mechanics
The yield stress of a metal in uniaxial tension is 200 MPa. According to von Mises yield criterion, the yield stress (in MPa) of the metal in pure shear is closest to
Ques 49 Solid Mechanics
A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?

Ques 50 Solid Mechanics
A metallic square plate is subjected to a uniform hydrostatic pressure (P). Choose the correct Mohr's circle representing the state of stress at any point in the plate from the options given below.
For the Mohr's circle, normal stress is positive towards right and shear stress is positive in the upward direction.
Ques 51 Solid Mechanics
The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (εzz) is ______ (rounded off to 2 decimal places).
Use the Young's Modulus E=200 GPa and Poisson's ratio ν=0.27.

Ques 52 Solid Mechanics
A simply supported beam of length 1 m is subjected to a uniformly distributed bending moment of 1 N m per m throughout the length as shown in the figure given below. The bending moment at the mid-point of the beam is ______ Nm (rounded off to the nearest integer).


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