GATE PI topic:industrial-engineering PYQs & Answers — Page 37

Questions 361–370 of 650. Imported answers require independent review unless marked reviewed.

For a given process control chart, there are four rules for determining out-of-control state of the process which are being used simultaneously. The probability of Type-I error for the four rules are 0.005, 0.02, 0.03, and 0.05. Assuming independence of the rules, the probability of overall Type-I error when all the four rules are used simultaneously is

Your answerChoose one option.

0.101

0.201

0.001

0.301

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An in-control process has an estimated standard deviation of 2 mm. The specification limits of the component being processed are 120 ± 8 mm. When the process mean shifts to 118 mm, the values of the process capability indices,

and

, respectively, are,

Your answerChoose one option.

1.000, 1.667

1.333, 1.667

1.333, 1.000

1.000, 1.000

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There are a number of identical components in a parallel system. When the system reliability is 0.97 and the reliability of each individual component is 0.68, the number of identical components in the system is (if actual value is a fraction, it may be rounded up to the next higher integer).

Your answerChoose one option.

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A retail chain company has identified four sites A, B, C and D to open a new retail store. The company has selected four factors as the basis for evaluation of these sites. The factors, their weights, and the score for each site are given in the following table.

Factor	Factor weight	Score for site (out of 100): A	B	C	D
Average community income	0.4	60	70	80	50
Demand growth potential	0.1	30	80	50	40
Proximity to existing store	0.3	50	10	40	60
Availability of public transport	0.2	40	30	40	20

The site that should be selected to open the new retail store is

Your answerChoose one option.

Site A

Site B

Site C

Site D

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In the classical economic order quantity (EOQ) model, let

and

denote the optimal order quantity and the corresponding minimum total annual cost (the sum of the inventory holding and ordering costs). If the order quantity is estimated incorrectly as

, then the corresponding total annual cost

Your answerChoose one option.

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The eigenvalues of matrix

are 5 and 10. For matrix

, where

is a constant and

is a 2×2 identity matrix, its eigenvalues are

Your answerChoose one option.

5, 10

5 + α, 10 + α

5 - α, 10 - α

5α, 10α

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A company manufactures two products P and Q with unit profit of 4 and 5, respectively. The production requires manpower and two kinds of raw materials R1 and R2. The following table summarizes the requirement and availability of resources.

Resource	Resource usage per unit of production P	Q	Amount of resource available
manpower	1	1	10
R1	1	2	18
R2	2	1	18

The maximum profit the company can make is

Your answerChoose one option.

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A tool of an NC machine has to move along a circular arc from (20,20) to (10,10), while performing an operation. The center of the arc is at (20,10). Which one of the following NC tool commands performs the above mentioned operation?

Your answerChoose one option.

N20 G03 X20 Y20 X10 Y10 R10

N20 G02 X20 Y20 X10 Y10 R10

N20 G02 X10 Y10 X20 Y20 R10

N20 G01 X20 Y20 X10 Y10 R10

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In a shaft-hole assembly, the hole is specified as 30^_ mm. The mating shaft has a clearance fit with minimum clearance of 0.01 mm. The tolerance on the shaft is 0.03 mm. The maximum clearance in mm between the hole and the shaft is

Your answerChoose one option.

0.04

0.05

0.08

0.10

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‘GO’ and ‘NO GO’ snap gauges are to be designed for a shaft 36.000^_ mm. Gauge tolerance can be taken as 5% of the hole tolerance. Following the ISO system of gauge design, the respective sizes of ‘GO’ and ‘NO GO’ gauges are

Your answerChoose one option.

36.013 mm and 36.067 mm

36.015 mm and 36.065 mm

36.018 mm and 36.062 mm

36.020 mm and 36.060 mm

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GATE PI topic:industrial-engineering PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35