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GATE PI 2015

GATE 2015 Previous Year

3 hDuration
60Total Marks
38Questions
12Sections
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Instructions

General instructions for this test:

  • Duration: 3 h. The timer starts as soon as you begin and cannot be paused.
  • Total questions: 38 across 12 section(s); maximum marks: 60.
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Paper Structure

Machine Tools And Machining

Machine Tools And Machining

Q1. mcq single +2 / 0.6
Match the linear transformation matrices listed in the first column to their interpretations in the second column.
Q2. numerical +2 / 0
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 $$100$$ $$m$$ for return. If the time required for pick-up and drop is $$30$$ $$s$$ each, neglecting idle times, then the number of $$AGV$$$$s$$ required to meet the demand of $$50$$ delivers per hour is ____________.
Q3. mcq single +1 / 0.3
In Computer Aided Process Planning, determination of process sequence for manufacture of any part design without predefined standard plans is known as
Q4. mcq single +1 / 0.3
Built-up edge formation decreases under the conditions listed below EXCEPT
Q5. numerical +2 / 0
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 face-chip interface is $${26^ \circ },$$ then the thrust force value, in $$N$$ is ___________________
Q6. mcq single +1 / 0.3
The angle of a twist drill that determines its rake angle is
Q7. mcq single +1 / 0.3
During turning of mild steel work material, the maximum temperature is observed at
Q8. numerical +2 / 0
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 minimum length of travel, in $$mm,$$ for the cutter to engage and completely cut the part surface is ______________.
Q9. mcq single +1 / 0.3
Which one of the following statements related to grinding process is INCORRECT?
Q10. numerical +2 / 0
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 $$G90$$ $$G01$$ $$Z??$$ $$F20.$$ The datum is defined on the top surface of the work material and the approach distance is $$3$$ $$mm.$$ Then, to achieve a cylindrical hole depth of $$40$$ $$mm,$$ the $$Z$$ coordinate to be provided in the $$CNC$$ command, in $$mm,$$ is ______________.
Industrial Engineering

Industrial Engineering

Q1. mcq single +1 / 0.3
A line balancing problem is solved in the context of
Q2. numerical +2 / 0
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 $$300$$ products in $$7.5$$ hours. At steady state, the line efficiency, in $$\% $$, is ______________
Q3. mcq single +2 / 0.6
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 Mean Time To Repair $$(MTTR)$$ of $$14$$ hours. If the productivity loss is Rs.$$22,500$$ per hour, then the total expected loss of productivity due to machine breakdowns, in Rs., is
Metrology

Metrology

Q1. numerical +2 / 0
During the measurement of internal taper of a part using standard balls of diameter $$15$$ $$mm$$ and $$20$$ $$mm$$, the large ball is found to protrude by $$5$$ $$mm$$ $$\left( {{h_1}} \right)$$ and the top of small ball is found to be $$35$$ $$mm$$ $$\left( {{h_2}} \right)$$ below the top face of the gauge. The taper angle, in degree, is ________________.
Q2. numerical +2 / 0
A surface is prepared specially for an application with the profile as shown in the figure. The theoretical $${R_a}$$ value for this surface, in $$\mu m,$$ is _______________.
Metal Forming

Metal Forming

Q1. numerical +1 / 0
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 is ____________
Q2. mcq single +1 / 0.3
In rolling of a flat strip, the relative velocity of strip with respect to the roller is
Q3. numerical +1 / 0
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 ______________.
Q4. numerical +2 / 0
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 being carried out. The cylinder is subjected to a true compressive strain of $$3.6$$ during the process. Assuming frictionless and homogeneous deformation, the energy expended, in $$kJ$$ is __________________.
Joining Of Materials

Joining Of Materials

Q1. mcq single +2 / 0.6
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 $$V$$-type with $${60^ \circ }$$ angle and root gap is maintained at $$5$$ $$mm.$$ If electrode of $$5$$ $$mm$$ diameter with $$500$$ $$mm$$ length is used for welding, then the number of electrodes required is
Heat Transfer

Heat Transfer

Q1. numerical +2 / 0
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 in $$m.$$ The constants are: $${c_0} = {800^ \circ }C,$$ $${c_1} = - {250^ \circ }C/m$$ and $${c_2} = - {40^ \circ }C/{m^2}.$$ The thermal conductivity of the wall is $$50$$ $$W/mK$$ and wall area is $$5\,\,{m^2}.$$ If there is a heat source generating uniform volumetric heating at the rate of $$500$$ $$W/{m^3}$$ inside the wall, then the rate of change of energy storage in the wall, in $$kW,$$ is _____________.
Thermodynamics

Thermodynamics

Q1. mcq single +2 / 0.6
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 made regarding the process. $$(P)$$ Heat is transferred from the gas. $$(Q)$$ Work done by the gas is zero. $$(R)$$ Entropy of the gas remains constant. $$(S)$$ Entropy of the gas decreases. Among the above statements, the correct ones are
Fluid Mechanics

Fluid Mechanics

Q1. mcq single +2 / 0.6
In a vertical piston-cylinder arrangement the force applied to the piston, pushes water through a nozzle as shown in the figure. The water flows out from the nozzle, and reaches the top of its trajectory. The kinetic and pressure energies at points $$(1), (2)$$ and $$(3),$$ respectively, are
Engineering Mathematics

Engineering Mathematics

Q1. mcq single +1 / 0.3
In numerical integration using Simpson's rule, the approximating function in the interval is a
Q2. mcq single +2 / 0.6
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 event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?
Q3. mcq single +2 / 0.6
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 drawn at random from the box, then the probability of getting a correct sequence is
Q4. mcq single +1 / 0.3
The solution to $$\,\,{x^2}{y^{11}} + x{y^1} - y = 0\,\,$$ is
Q5. mcq single +1 / 0.3
The solution to $$\,6y{y^1} - 25x = 0\,\,$$ represents a
Q6. mcq single +2 / 0.6
The value of $$\mathop {\lim }\limits_{\left( {x,y} \right) \to \left( {0,0} \right)} {{{x^2} - xy} \over {\sqrt x - \sqrt y }}$$ is
Q7. mcq single +2 / 0.6
The curve $$\,\,y = {x^4}\,\,$$
Q8. mcq single +1 / 0.3
The function $$f\left( x \right) = {x^2} = x + x + x + ....x$$ times, is defined
Strength Of Materials

Strength Of Materials

Q1. numerical +2 / 0
A beam is loaded as shown in the figure The bending moment, in $$Nm$$, at point $$R$$ is _______.
Q2. mcq single +1 / 0.3
The room-temperature stress $$\left( \sigma \right)$$ - strain $$\left( \varepsilon \right)$$ curves of four materials $$P, Q, R$$ and $$S$$ are shown in the figure below. The material that behaves as a rigid perfectly plastic material is
Q3. numerical +2 / 0
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, respectively. The elongation of the bar, in mm, due to its own weight is __________ .
Q4. numerical +1 / 0
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 _______.
Casting

Casting

Q1. mcq single +1 / 0.3
Match the items in the first column to their functions in the second column.
Q2. numerical +2 / 0
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 diameter of $$10$$ $$mm.$$ If the density and melting temperature of molten copper alloy are $$9000$$ $$kg/{m^3}$$ and $${1000^ \circ }C.$$ respectively then the rate of flow of molten metal into the mould neglecting friction and other losses, in $$c{m^3}/s,$$ is ______________.
Theory Of Machines

Theory Of Machines

Q1. mcq single +2 / 0.6
In an off-set slider crank mechanism, shown in figure, the crank is rotated at a constant speed of $$150$$ rpm. The value of the angle $$\theta $$ shown in the figure is $${20^ \circ }$$ . What is the ratio of forward to return stroke time? Can this mechanism be used in an application involving quick return?