GATE PI year:2021 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

A 150 mm wide polyamide flat belt is transmitting 15 kW power through a belt-pulley system. The driving pulley of 150 mm pitch diameter is rotating at 200 RPM. If

is the belt tension on high tension side, and

is the belt tension on low tension side, then the difference in belt tensions

in N is ____________. [round off to one decimal place]

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Heat is being removed from a refrigerator at a rate of 300 kJ/min to maintain its inside temperature at 2 °C. If the input power to the refrigerator is 2 kW, the coefficient of performance of the refrigerator is ____________. [round off to one decimal place]

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In an ideal Otto cycle, 800 kJ/kg is transferred to air during the constant volume heat addition process and 381 kJ/kg is removed during the constant volume heat rejection process. The thermal efficiency in % of the cycle is ____________. [round off to one decimal place]

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with

being real and

, then

____________. [correct up to one decimal place]

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The minimum value of function

defined by

is ____________. [in integer]

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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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GATE PI year:2021 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30