GATE PI purpose:exam-prep PYQs & Answers — Page 18

Questions 171–180 of 650. Imported answers require independent review unless marked reviewed.

A project has six activities and the precedence relationship among them is shown in the table.

Activity	Precedent activities
A	None
B	None
C	None
D	A, B
E	B, C
F	A, B

The minimum number of dummy activities needed to draw an activity-on-arrow (AOA) representation of the project network is

Your answerChoose one option.

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Consider the following linear programming problem with two decision variables

and

. There are three constraints involving resources R1, R2 and R3 as indicated.

Maximize

Subject to

The optimal solution of the problem is:

and

For which one of the following options, the shadow price of the resource(s) will have non-zero value?

Your answerChoose one option.

R1, R2 and R3

R1 and R2

R2 and R3

R1 only

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Choose the item(s) which is/are required to make an eccentric hole on a disc, as shown, using a lathe.

Diagram for Production and Industrial Engineering question 43

Your answerSelect all correct options. You can choose more than one.

Single point cutting tool

Four jaw chuck

Drill bit

Three jaw chuck

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Which of the following statement(s) is/are TRUE for a given acceptance sampling plan?

Your answerSelect all correct options. You can choose more than one.

Type II error decreases with an increase in type I error.

The probability of rejecting a good quality lot is producer’s risk.

Type II error decreases with a decrease in sample size.

The probability of rejecting a good quality lot is consumer’s risk.

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Seven cards numbered 1 to 7 are placed in a box. After thoroughly mixing all the cards, one card is drawn at random.

If it is known that the number on the card drawn is odd, then the probability that the number on the card drawn is greater than 4 is __________ %. (Answer in integer)

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The following differential equation governs the evolution of variable

with time

Given the initial conditions

and

, the value of

is __________. (Rounded off to 3 decimal places)

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The values of function

at discrete values of

are given in the table. The value of

, using Trapezoidal rule is __________. (Rounded off to 1 decimal place)

	0	1	2	3	4
	1	3	6	9	12

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An irrigation pump is used to draw water from a pond. One end of a 5.05 cm diameter hose pipe is connected to the outlet of the pump at 1.02 m below the surface level, and just after the pump, the static gauge pressure and flow rate of the water are 50 kPa and 8 kg/s, respectively. The pumped water is discharged at the ground level through a nozzle. Assume that the flow through the hose pipe and nozzle is steady and laminar, and friction and viscous losses are negligible. The density of water is 1000 kg/m

and the acceleration due to gravity is 9.81 m/s

. If the static pressure at the nozzle exit of the nozzle jet reduces to atmospheric pressure then the nozzle diameter (in cm) of the nozzle is __________. (Rounded off to 2 decimal places)

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In an air-standard Otto cycle, the pressure and temperature of air just before the compression stroke are 200 kPa and 26.85 °C, respectively. The combustion process is assumed to be a constant volume process, where 1.02 MJ/kg heat is added. The cycle efficiency is 50%. The adiabatic index

and specific heat at constant volume

can be considered to be constant during the process (corresponding values taken at the mean cycle temperature).

Assuming that the ideal gas law is applicable,

and

kJ/kg-K, the maximum pressure (in MPa) reached during the cycle is __________. (Rounded off to 1 decimal place)

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A metallic cylindrical pressure vessel, used to store compressed air in a plant, has 1 m mean radius and 4 mm wall thickness. The maximum allowable normal and shear stresses in the cylindrical portion of the vessel are 100 MPa and 40 MPa, respectively. Considering only these data in the design, the maximum allowable internal gauge pressure (in MPa) of the compressed air is __________. (Rounded off to 2 decimal places)

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GATE PI purpose:exam-prep PYQs

Question 41

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Question 50