GATE 2015 Production & Industrial
30 questions across 1 session
A line balancing problem is solved in the context of
Arrival of machines for repair in a maintenance shop follows a Poisson distribution at a rate of one per $$18$$ hours. The time to repair follows an exponential distribution with M...
A manufacturing line requires $$7.2$$ minutes to make a product. The line has six workstations arranged as per the required sequence of operations. Total production required is $$3...
The curve $$\,\,y = {x^4}\,\,$$
The value of $$\mathop {\lim }\limits_{\left( {x,y} \right) \to \left( {0,0} \right)} {{{x^2} - xy} \over {\sqrt x - \sqrt y }}$$ is
The function $$f\left( x \right) = {x^2} = x + x + x + ....x$$ times, is defined
The solution to $$\,\,{x^2}{y^{11}} + x{y^1} - y = 0\,\,$$ is
The solution to $$\,6y{y^1} - 25x = 0\,\,$$ represents a
In numerical integration using Simpson's rule, the approximating function in the interval is a
A coin is tossed thrice. Let $$X$$ be the event that head occurs in each of the first two tosses. Let $$Y$$ be the event that a tail occurs on the third toss. Let $$Z$$ be the even...
A product is an assemble of $$5$$ different components. The product can be sequentially assembled in two possible ways. If the $$5$$ components are placed in a box and these are dr...
In a $$1$$ $$m$$ thick wall, the temperature distribution at a given instant is $$T\left( x \right) = {c_0} + {c_1}x + {c_2}{x^2}$$ where $$T$$ is in $${}^ \circ C$$ and $$x$$ is i...
The maximum reduction per pass during wire drawing of an aluminium alloy ignoring friction and redundant work is $$77\% $$. The strain hardening exponent of the material is _______...
The true stress at fracture of a tensile tested specimen, having an initial diameter of specimen at fracture is $$10$$ $$mm,$$ then the engineering stress, in $$MPa,$$ at fracture...
In rolling of a flat strip, the relative velocity of strip with respect to the roller is
Open die forging of a cylinder made of a rigid perfectly plastic material with yield strength of $$200$$ $$MPa$$ having a height of $$25$$ $$mm$$ and diameter of $$25$$ $$mm$$ is b...
Built-up edge formation decreases under the conditions listed below EXCEPT
An ideal gas of mass $$m$$ is contained in a rigid tank of volume $$V$$ at a pressure $$P.$$ During a reversible process its pressure reduces to $${P_1}.$$ Following statements are...
Two aluminium alloy plates each $$10$$ $$mm$$ thick and $$1$$ $$m$$ long are welded without crowning by multipass tungsten inert gas butt welding. The joint configuration is $$V$$-...
If the principal stress values are $$120$$ MPa, $$-50$$ MPa and $$10$$ MPa in a given state of stress, then maximum shear stress in the material, in MPa, is _______.
A metallic bar of uniform cross-section with specific weight of $$100$$ kN/m 3 is hung vertically down. The length and Young's modulus of the bar are $$100$$ m and $$200$$ GPa, res...
In Computer Aided Process Planning, determination of process sequence for manufacture of any part design without predefined standard plans is known as
Which one of the following statements related to grinding process is INCORRECT?
In a Flexible manufacturing system, the Automated Guided Vehicles $$(AGV)$$ move at a speed of $$50$$ $$m/min,$$ cover an average distance of $$150$$ $$m$$ to deliver and $$100$$ $...
During turning of mild steel work material, the maximum temperature is observed at
In a slab milling operation, a cutter of $$75$$ $$mm$$ diameter with sufficient width is used to remove $$5$$ $$mm$$ thick material from a $$200$$ $$mm$$ long part in a single pass...
The angle of a twist drill that determines its rake angle is
In an orthogonal machining experiment carried out using a cutting tool with zero degree rake angle, the measured cutting force was $$1700$$ $$N.$$ If the friction angle at the rake...
In drilling operation, a twist-drill of $$30$$ $$mm$$ diameter with point angle of $$118$$ degrees is used. If the $$CNC$$ command issued to execute the drilling operation is $$G90...
In a metal casting process, molten copper alloy is poured into a sand mould. The level of molten metal in the pouring basin is at a height of $$300$$ $$mm$$ from the runner having...