GATE PI exam:gate PYQs & Answers — Page 10

Questions 91–100 of 650. Imported answers require independent review unless marked reviewed.

The relationship between the hoop stress

and the longitudinal stress

of a closed cylindrical thin-walled pressure vessel is

Your answerChoose one option.

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The starting simplex table of a linear programming problem is given below, where

and

are the slack variables. The objective of the problem is

Maximize

The leaving variable among the basic variables is

						Solution
6	3	1	0	0	0	36
2	1	0	1	0	0	40
	3	0	0	1	0	2
0	3	0	0	0	1	3

Your answerChoose one option.

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For an ideal Diesel cycle, the heat addition is an

Your answerChoose one option.

isobaric process

isothermal process

isochoric process

isentropic process

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Three principal stresses at a point in a material are 300 MPa, 250 MPa and 100 MPa. If the yielding just starts at that point, the yield strength (in MPa) of the material as per Tresca criterion is________. (Answer in integer)

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In an orthogonal straight turning process, the feed is 0.1 mm/rev and the depth of cut is 0.5 mm. In ASA system, the side cutting edge angle of the cutting tool is 0°. The width (in mm) of the chip is________. (Rounded off to one decimal place)

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The pitch of the single-start lead screw of a lathe is 6 mm. It is used to cut double start thread of 3 mm pitch on a cylindrical work piece. During the thread cutting, the spindle rotates at 400 revolutions per minute (RPM). The speed (in RPM) of the lead screw is________. (Answer in integer)

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Two options are available to meet the annual demand of batteries in a toy company. In option 1, batteries are manufactured in the plant having fixed cost of Rupees 2,00,000 and a variable cost of Rupees 70 per unit. Option 2 consists of buying batteries from the market at a price of Rupees 90 per unit. The annual demand (in number of batteries) at which the company should switch from buying to making the batteries in the plant is________. (Answer in integer)

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A company estimates the demand of 2000 bulbs for the next year. The ordering cost is Rupees 300 per order and the annual carrying cost per bulb is Rupees 30. The economic order quantity (number of bulbs) is________. (Answer in integer)

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While inspecting final assembly of automobile-gear-boxes, 15 features were considered critical-to-quality (CT). During last quarter, 4000 gear boxes were produced among which 1500 defects were found of the CTQ features. The defects per million opportunities (DPMO) is________. (Answer in integer)

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The hole and the shaft dimensions (in mm) are given as

Hole dimension =

Shaft dimension =

The maximum possible clearance (in mm) is________. (Rounded off to two decimal places)

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GATE PI exam:gate PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35