Production and Industrial Engineering
GATE PI format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 81–90 of 264. Imported answers require independent review unless marked reviewed.
Question 31
Open questionPINAT1 markNeeds review
A wooden cubical block of side 0.1 m has specific gravity (SG) of 0.75. It is held submerged in a pool of oil and water by a massless rigid wire as shown in figure. The density of water is 1000 kg/m
and acceleration due to gravity is 9.8 m/s
. The tension, in N, in the wire is _____ (round off to 2 decimal places). 
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Open questionPINAT1 markNeeds review
Under steady state conditions, superheated steam enters the turbine with enthalpy, h
= 3200 kJ/kg and wet steam leaves the turbine at pressure
= 0.1 bar. The heat loss is 100 kJ/kg and work output is 100 kJ/kg. Kinetic and potential energies for inflow and outflow are neglected. At pressure 0.1 bar, the enthalpy of saturated liquid is 200 kJ/kg and the enthalpy of vaporization is 2400 kJ/kg. The dryness fraction of the steam at the exit of the turbine is _____ (round off to 2 decimal places).Log in to check the answer
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Open questionPINAT1 markNeeds review
The total number of nonconformities is 420 from 30 samples. The size of each sample is 100. The lower control limit for the control chart for number of nonconformities is _____ (round off to 2 decimal places).
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Open questionPINAT1 markNeeds review
Two metal sheets are joined using resistance spot welding. A weld current of 4500 A is applied for 0.2 s. The effective contact resistance at the sheet interface is
. The thermal efficiency of the weld process is 50 %. The amount of heat, in J, used for producing a spot weld is _____(in integer).Log in to check the answer
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Open questionPINAT1 markNeeds review
A metal rod of diameter 14 mm is subjected to a tensile test. After the test, its cross-section diameter at the fractured end is 12 mm. The ductility, in % , is _____ (round off to 2 decimal places).
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Open questionPINAT2 marksNeeds review
The following equation is solved using Newton-Raphson method
with initial value
.The value of first approximation
is _____ (round off to 2 decimal places).Log in to check the answer
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Open questionPINAT2 marksNeeds review
For the matrix
, eigenvalue corresponding to the eigenvector
is _____ (in integer).Log in to check the answer
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Open questionPINAT2 marksNeeds review
The work sampling study, with 100 observations, revealed 25 % idle time of a worker. The number of observations required for ±10 % accuracy and 95.45 % confidence level is _____ (in integer).
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Open questionPINAT2 marksNeeds review
The information of two products P and Q is given as
Product | Annual demand (units) | Order cost per order (Rupees) | Holding cost per unit per year (Rupees) |
|---|---|---|---|
P | 2500 | 60 | 30 |
Q | 3600 | 80 | 40 |
The value of
is _____ (round off to 2 decimal places).Log in to check the answer
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Open questionPINAT2 marksNeeds review
A system shown in figure has seven components with reliabilities
,
,
,
,
,
,
. The reliability of the system is _____ (round off to 2 decimal places).
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