List of top Materials, Manufacturing & Industrial Engineering Questions asked in GATE Metallurgy

A set of jobs U, V, W, X, Y, Z arrive at time t = 0 to a production line consisting of two workstations in series. Each job must be processed by both workstations in sequence (i.e., the first followed by the second). The process times (in minutes) for each job on each workstation in the production line are given below.

Job	U	V	W	X	Y	Z
Workstation 1	5	7	3	4	6	8
Workstation 2	4	6	6	8	5	7

The sequence in which the jobs must be processed by the production line if the total makespan of production is to be minimized is

In an arc welding process, the voltage and current are 30V and 200A, respectively. The cross-sectional area of the joint is 20 mm² and the welding speed is 5mm/s. The heat required to melt the material is 20 J/s. The percentage of heat lost to the surrounding during the welding process is ____(rounded off to 2 decimal places).

A cutting tool provides a tool life of 60 minutes while machining with the cutting speed of 60 m/min. When the same tool is used for machining the same material, it provides a tool life of 10 minutes for a cutting speed of 100 m/min. If the cutting speed is changed to 80 m/min for the same tool and work material combination, the tool life computed using Taylor's tool life model is ____minutes (rounded off to 2 decimal places).

In a supplier-retailer supply chain, the demand of each retailer, the capacity of each supplier, and the unit cost in rupees of material supply from each supplier to each retailer are tabulated below. The supply chain manager wishes to minimize the total cost of transportation across the supply chain.

	Retailer I	Retailer II	Retailer III	Retailer IV	Capacity
Supplier A	11	16	19	13	300
Supplier B	5	10	7	8	300
Supplier C	12	14	17	11	300
Supplier D	8	15	11	9	300
Demand	300	300	300	300

The optimal cost of satisfying the total demand from all retailers is ____rupees (answer in integer).

Aluminium is casted in a cube-shaped mold having dimensions as 20mm × 20mm × 20mm. Another mold of the same mold material is used to cast a sphere of aluminium having a diameter of 20mm. The pouring temperature for both cases is the same. The ratio of the solidification times of the cube-shaped mold to the spherical mold is ____ (answer in integer).

A blanking operation is performed on C20 steel sheet to obtain a circular disc having a diameter of 20 mm and a thickness of 2 mm. An allowance of 0.04 is provided. The punch size used for the operation is _____mm (rounded off to 2 decimal places).

A flat surface of a C60 steel having dimensions of 100mm (length) x 200mm (width) is produced by a HSS slab mill cutter. The 8-toothed cutter has 100mm diameter and 200mm width. The feed per tooth is 0.1mm, cutting velocity is 20m/min and depth of cut is 2mm. The machining time required to remove the entire stock is _____minutes (rounded off to 2 decimal places).

A company orders gears in conditions identical to those considered in the economic order quantity (EOQ) model in inventory control. The annual demand is 8000 gears, the cost per order is 300 rupees, and the holding cost is 12 rupees per month per gear. The company uses an order size that is 25% more than the optimal order quantity determined by the EOQ model. The percentage change in the total cost of ordering and holding inventory from that associated with the optimal order quantity is

At the current basic feasible solution (bfs) ν₀ (ν₀ ∈ \(\R^5\)), the simplex method yields the following form of a linear programming problem in standard form.
minimize z = -x₁ - 2x₂
s.t. x₃ = 2 + 2x₁ - x₂
x₄ = 7+x₁-2x₂
x₅ = 3-x₁
x₁, x₂, x₃, x₄, x₅ \(\geq\) 0
Here the objective function is written as a function of the non-basic variables. If the simplex method moves to the adjacent bfs v₁ (v₁ ∈ \(\R^5\)) that best improves the objective function, which of the following represents the objective function at v₁, assuming that the objective function is written in the same manner as above?

The allowance provided to a pattern for easy withdrawal from a sand mold is

The "Earing" phenomenon in metal forming is associated with

The most suitable electrode material used for joining low alloy steels using Gas Metal Arc Welding (GMAW) process is

The preparatory functions in Computer Numerical Controlled (CNC) machine programing are denoted by the alphabet

The grinding wheel used to provide the best surface finish is

For a ball bearing, the fatigue life in millions of revolutions is given by \(L=\frac{C}{P}^n\), where P is the constant applied load and C is the basic dynamic load rating. Which one of the following statements is TRUE?

Find the diameter of the punch, if the diameter of the blank is 20mm( blinking operation is going on). Given the clearance value is 0.04mm

A cube of the dimension (20*20*20) is mold to sphere having diameter 20mm and the pouring temperature both are same. What is the ratio of the solidification time of the cubical casting: spherical casting