GATE PI topic:manufacturing PYQs & Answers — Page 44

Questions 431–440 of 650. Imported answers require independent review unless marked reviewed.

The statement that best describes the function of a GO gauge in the context of Taylor’s principle of gauging is

Your answerChoose one option.

GO gauge checks the Maximum Material Condition and is designed to check as many dimensions as possible

GO gauge checks the Least Material Condition and is designed to check as many dimensions as possible

GO gauge checks the Maximum Material Condition and is designed to check only one dimension

GO gauge checks the Least Material Condition and is designed to check only one dimension

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The figure shows revenue generated over different product life cycle stages marked as P, Q, R and S. Group I lists these product life cycle stages. Group II lists typical efforts leading to revenue maximization during a stage.

Diagram for Production and Industrial Engineering question 32

Group I P. Introduction Q. Growth R. Maturity S. Decline

Group II

Efforts to enhance the production capacity

Efforts to rejuvenate the product

Efforts to maximize the product performance

Efforts to explore other markets

Match the stage with the efforts.

Your answerChoose one option.

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

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

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

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

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A company manufactures products P and Q in quantities

and

, respectively, using two resources. The following Linear Programming Problem (LPP) is formulated to maximize the profit Z.

Maximize

subject to

(for Resource 1)

(for Resource 2) and

The shadow price for Resource 2 is

Your answerChoose one option.

2/3

4/3

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A rectifying inspection is performed on a lot of size

using a Single-Sampling Plan with the sample size

and the acceptance number

. If the Acceptable Quality Level is 1.0%, the producer’s risk associated with the sampling plan (rounded off to the nearest integer) in % is

Your answerChoose one option.

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For

, the value of

using Simpson’s

rule with two intervals (rounded off to two decimal places) is __________.

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If the probability density function of a random variable

is given by

the value of

is __________.

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A solid shaft has to transmit 50 kW of power at a speed of 190 RPM. Ignore any possible bending of the shaft. The maximum allowable shear stress for the material of the shaft is 80 MPa. The minimum diameter of the shaft required to prevent failure due to shear (rounded off to one decimal place) in cm is __________.

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A flywheel is to be used in an IC engine to limit fluctuation of angular speed. The average of the maximum and the minimum angular speed is 500 RPM, and the maximum fluctuation of energy is 10,000 N-m. Neglecting rotary inertia of any other components, the moment of inertia of the flywheel about its axis of rotation required to limit the maximum fluctuation of speed to 30 RPM (rounded off to one decimal place) in kg-m

is __________.

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A tank of large cross-sectional area contains water up to a height of 5 m as shown in the figure. The top water surface is under a pressure of

MPa. A small, smooth and round tap at the bottom of the tank is opened to the atmosphere (

MPa).

Diagram for Production and Industrial Engineering question 39

Use the acceleration due to gravity,

m/s

and the density of water,

kg/m

. The velocity with which the water will exit from the tap under the conditions shown in the figure (rounded off to one decimal place) in m/s is __________.

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A steel ball of 12 mm diameter is heated to 1225 K. It is slowly cooled in air to a temperature of 475 K. During the cooling process, the ambient temperature is 325 K and the heat transfer coefficient is 30 W/m

-K. Assume the density of steel is 7800 kg/m

and the specific heat is 600 J/kg-K. Using the lumped capacitance method of analysis, the calculated time for the required cooling (rounded off to one decimal place) in seconds is __________.

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GATE PI topic:manufacturing PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40