Production and Industrial Engineering
GATE PI format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–30 of 367. Imported answers require independent review unless marked reviewed.
Question 21
Open questionPIMCQ1 markNeeds review
The ratio of hydrostatic stress to volumetric strain is known as ______.
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In the given weighted graph, the weights represent distance between the corresponding vertices. The shortest distance between vertex A and vertex E is d. The number of paths with distance d is p.
The value of d/p is ______.

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Which ONE of the following is NOT an assumption of the economic order quantity (EOQ) model?
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Painting is one of the activities in a construction project. For the painting activity that takes 6 days, both the total float and the free float are zero.
Which ONE of the following is TRUE for the painting activity?
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Open questionPIMCQ2 marksNeeds review
In a polymer extrusion process, some cross-sectional shapes of the extruded polymers are shown. Cross-sections of available dies are also shown.
Which ONE of the following CORRECTLY matches the extruded cross section with the die opening that most likely generated it?
Note: The cross-sections are in a plane orthogonal to the extrusion direction. Figures are not to scale.
Cross-section of extruded polymer: (P) circle; (Q) square.
Cross-section of die opening: (1) circular opening; (2) square opening; (3) oval opening; (4) concave, waisted opening.

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Open questionPIMCQ2 marksNeeds review
Iron powder produced by gas atomization has a tap density and an apparent density of 3.26 g/cm
and 2.66 g/cm
, respectively. The density of solid iron is 7.85 g/cm
.Which ONE of the following options is the closest approximation to the degree of densification (in percentage) of this iron powder?
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Open questionPIMCQ2 marksNeeds review
Which ONE of the following options CORRECTLY matches the matrices to their properties?
Matrix P =
; Q =
; R =
; S =
.Properties: 1 Singular; 2 Triangular; 3 Symmetric; 4 Trace free.
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Open questionPIMCQ2 marksNeeds review
A sheet metal drawing is considered feasible if the following conditions are met:
• Reduction ratio < 0.5
• Thickness to diameter ratio > 1%
A sheet metal drawing process is being planned on a sheet metal with a thickness of 2 mm with a punch of diameter 100 mm with various blanks of diameter
.Which ONE of the following blank diameters
(in mm) will result in feasible drawing?Your answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
A student is trying to determine the flatness and parallelism of the top surface of a part whose cross-section, assumed uniform in the Z direction, is shown in the figure.
Which ONE of the following options is CORRECT?
The diagram labels the measured quantities
and
, shows the part profile, datum, and X, Y, Z axes. 
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Open questionPIMCQ2 marksNeeds review
The function,
, signifies the likelihood that a component has survived up to time
and fails in the next instant of time.
where
denotes the probability density function for time to failure with corresponding cumulative distribution function given by,
Which ONE of the following represents
?Your answerChoose one option.
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