GATE PI discipline:mechanical-and-production-engineering PYQs & Answers — Page 4

Questions 31–40 of 650. Imported answers require independent review unless marked reviewed.

A box in a machine shop consists of 5 coated and 10 uncoated cutting inserts which are of otherwise similar characters. The inserts got mixed up randomly in the box. An operator has taken 4 of them at once without noticing the differences to mount on a 4-tooth face milling cutter that uses inserts.

The probability of the milling cutter having all uncoated inserts is _____ (rounded off to two decimal places).

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A customer has made a lump sum investment of INR 2,00,000 with a bank. The discount rate is 15% per year. The investment enables the customer to receive a payout of INR 1,00,000 yearly for next three consecutive years.

The net present value (NPV) of his/her investment is INR _____ (rounded off to the nearest integer).

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A modified Taylor tool life equation is given as follows:

where

is the cutting speed (m/s),

is the tool life in minutes and

is the feed in mm/rev,

and

. Under two different cutting conditions

and

the tool life

was found to be the same.

If the ratio of the cutting speeds

used is 2/3, then the ratio of corresponding feeds

must be _____ (rounded off to two decimal places).

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Consider the line integral

where

is a semi-circle in the

plane with start point at

and end point at

The value of the line integral is _____ (in integer).

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Consider the aggregate planning problem for a toy car manufacturing organization whose demand at a plant is as follows:

Month	September	October	November	December
Demand (in units)	8000	6500	10500	950

The organization has ONLY the following options available for aggregate planning to meet the demand: (1) in-house production, (2) subcontracting, and (3) inventory holding. Assume that the quantity subcontracted in a given month is available in the same month.

A part of their optimal solution is as follows:

Inventory at the end of October = 1500 units

Units produced in-house in November = 8000 units

Units subcontracted in November = 1000 units

The inventory at the end of November is _____ units (in integer).

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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.

Diagram for Production and Industrial Engineering question 36

Your answerChoose one option.

P-1; Q-4

P-1; Q-2

P-3; Q-2

P-3; Q-4

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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?

Your answerChoose one option.

41.52

81.59

33.89

75.41

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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.

Your answerChoose one option.

P-3; Q-1; R-4; S-2

P-4; Q-1; R-3; S-2

P-3; Q-4; R-1; S-2

P-4; Q-1; R-2; S-3

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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.

150

250

350

450

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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.

Diagram for Production and Industrial Engineering question 40

Your answerChoose one option.

is flatness while

is parallelism.

is parallelism while

is flatness.

is parallelism while

is flatness.

is flatness while

is parallelism.

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GATE PI discipline:mechanical-and-production-engineering PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40