Production and Industrial Engineering
GATE PI topic:industrial-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 161–170 of 650. Imported answers require independent review unless marked reviewed.
Question 31
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If
is a continuous random variable with the probability density function
, then the value of
is ________ . (Answer in integer)Log in to check the answer
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If
, then
is ________ . (Answer in integer)Log in to check the answer
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In the truss shown in the figure, member AC is an inextensible string, other members are rigid, and ABCD is a square with each side of length
. The maximum value of force
(in kN) for which the truss will remain in static equilibrium is ________ . (Rounded off to 2 decimal places) 
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An offset slider-crank mechanism is shown in the figure. If the length
cm, then the stroke length (in cm) of the slider is ________ . (Rounded off to 1 decimal place) 
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A blank of 100 mm diameter is to be cut out of a 2 mm thick sheet through blanking operation. If the radial clearance between the punch and die is 6% of the sheet thickness then the diameter (in mm) of the punch is ________ . (Rounded off to 2 decimal places)
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If
is a matrix such that
, where
is an identity matrix, then which of the following is TRUE?Your answerChoose one option.
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In the iron-carbon equilibrium phase diagram, the temperature and composition of the eutectoid point are 727 °C and 0.77 weight % carbon, respectively. If a steel specimen with 1.2 weight % carbon is cooled from 1000 °C to the room temperature, then the fraction of pro-eutectoid cementite phase in the steel is ____ (Rounded off to 2 decimal places)
Your answerChoose one option.
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For polymers, match each process with the most suitable application listed.
Process: P — Extrusion; Q — Injection molding; R — Blow molding; S — Compression molding.
Application: 1 — Producing complex parts with close tolerance; 2 — Producing thermosetting plastic components; 3 — Producing long uniform sections; 4 — Producing hollow shapes.
Your answerChoose one option.
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In a forming operation, the plastic deformation of a steel specimen starts under plane stress condition, where the principal stresses are
MPa and
MPa. If the steel specimen follows von-Mises yield criterion, then the uniaxial tensile yield strength (in MPa) of this steel material is ____ (Rounded off to 1 decimal place)Your answerChoose one option.
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Match the configurations of the listed 3 degrees-of-freedom industrial robots with the type of joints.
Configuration | Type of joints |
|---|---|
P Cartesian | 1 One prismatic and two rotary |
Q Cylindrical | 2 Three rotary |
R Spherical | 3 Two prismatic and one rotary |
S Articulated | 4 Three prismatic |
Your answerChoose one option.
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