Production and Industrial Engineering
GATE PI topic:manufacturing PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 650. Imported answers require independent review unless marked reviewed.
Question 41
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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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Which ONE of the following options CORRECTLY matches the machining process and associated predominant material removal mechanism?
Advanced machining process | Predominant material removal mechanism |
|---|---|
P. Laser beam machining | 1. Impact based erosion |
Q. Abrasive waterjet machining | 2. Sputtering |
R. Ion beam machining | 3. Melting and vaporization |
S. Mechanical milling | 4. Shearing |
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A glass tube of 2.5 mm diameter is immersed vertically in a fluid.
Assume contact angle is zero. The surface tension of the fluid is 0.1 N/m, density of the fluid is 1000 kg/m³ and acceleration due to gravity is 10 m/s².
The approximate capillary rise is _____ mm.
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In an M/M/1 queuing system, the customers arrive at a rate of 3 per minute, and the average number of customers in the system is
at steady state. Assume that the server utilization is less than 1.Which ONE of the following is the average time a customer spends in the system (in minutes) at steady state?
Your answerChoose one option.
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A steel cube of side 10 cm is made by the sand-casting process. A cylindrical side-riser with diameter,
, and height,
, needs to be used.Assume:
No surface sharing between the riser and casting.
.The connecting link between the riser and casting does not freeze before the cast.
All the surfaces of the riser and cast are subjected to identical cooling conditions.
In this situation, which ONE or MORE among the following values of d (in cm) can theoretically fully compensate for shrinkage during casting?
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In a rolling operation, a 200 mm wide strip of 23 mm thickness needs to be reduced to 20 mm in a single pass. The roll diameter is 200 mm. Four lubricants P, Q, R, and S with coefficient of friction 0.05, 0.1, 0.2, and 0.25, respectively, are available for use at the roll-strip interface. Assume that the strip width remains constant throughout the process.
Which ONE or MORE among the following lubricants will enable the rolling process to achieve the desired final thickness of the strip in a single pass?
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In the theory of orthogonal machining, assuming that the shear plane will take up an angle that minimizes energy, the shear angle can be shown to be
where
is the shear angle,
the rake angle, and
the friction angle.Which ONE or MORE among the following is/are TRUE?
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Which ONE or MORE among the following homogeneous representations in robots involve(s) rotation about Y-axis by an angle
?Your answerSelect all correct options. You can choose more than one.
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Which ONE or MORE among the following options is/are TRUE for the ideal operating characteristics (OC) curve given in the figure?
Note:
represents the acceptable quality level (AQL) and
represents the lot tolerance percent defective (LTPD).
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The operation chart of a method of assembling nuts and bolts for a left-handed operator has been illustrated in the figure.
Which ONE or MORE among the following options is/are CORRECT?

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