GATE PI topic:manufacturing PYQs & Answers — Page 38 — Exam Papers

Questions 371–380 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 38 of 65

A circular tank of 4 m diameter is filled up to a height of 3 m. Assuming almost steady flow and neglecting losses, the time taken in seconds to empty the tank through a 5 cm diameter hole located at the center bottom (take acceleration due to gravity g = 9.81 m/s²) is [round off to the nearest integer]

Your answerChoose one option.

A.

505

B.

187

C.

897

D.

354

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The probability mass function

of a discrete random variable X is given by

, where x = 1, 2, ···, ∞. The expected value of X is _________. [in integer]

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The time to pass through a security screening at an airport follows an exponential distribution. The mean time to pass through the security screening is 15 minutes. To catch the flight, a passenger must clear the security screening within 15 minutes. The probability that the passenger will miss the flight is _________. [round off to 3 decimal places]

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A machine shop has received four jobs A, B, C and D for processing on a single CNC machine. All jobs are available for processing on the first day of the production schedule calendar, and processing times and due dates as applicable on the first day are given below. Using earliest due date rule, the average tardiness (in days) is ________. [in integer]

Job	Processing time (in days)	Due date (day)
A	8	14
B	5	10
C	7	12
D	9	19

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A time study is carried out for a spot welding operation which is being performed by an operator. The time taken (in seconds) for five observations are recorded as 40, 35, 45, 37 and 43, respectively. If the standard time and the allowance for this operation are 45 seconds and 9 seconds, respectively, then the performance rating (in percentage) of the operator is ________. [in integer]

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The initial cost of a machine is INR 10,00,000 and its salvage value after 10 years of use is INR 50,000. Using the straight line depreciation method, the book value in INR of the machine at the end of 7th year is ________. [in integer]

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A project consists of eight activities. The time required for each activity and its immediate predecessor(s) are given in the table below.

Activity	Activity time (in days)	Immediate predecessor(s)
A	2	-
B	3	-
C	2	A
D	4	A, B
E	4	C
F	3	C
G	X	D, E
H	2	F, G

If the project completion time using critical path method (CPM) is 15 days, then the value of X (in days) is ________. [in integer]

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A wire of 5 mm diameter is drawn into a wire of 4 mm diameter through a conical die at a constant pulling speed of 5 m/s. Neglecting the coefficient of friction and redundant work, the drawing stress (

) in MPa for the above process is given by

, where

is the mean flow strength of wire material in MPa, and

is the ratio of decrease in area of cross-section to initial area of cross-section of the wire. If the mean flow strength of wire material is 600 MPa, then the power required in kW in the above wire drawing process is ________. [round off to 2 decimal places]

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In an arc welding process, the DC power source characteristic is linear with an open circuit voltage of 60 V and short circuit current of 600 A. The heat required for melting a metal during the welding is 10 J/mm³, and the heat transfer and melting efficiencies are 80% and 25%, respectively. If the weld cross-sectional area of 20 mm² is made using the maximum arc power, then the required welding speed in mm/s is ________. [round off to one decimal place]

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A company is producing a disc-shaped product of 50 mm thickness and 1.0 m diameter using sand casting process. The solidification time of the above casting process is estimated by Chvorinov’s equation

, where B is the mold constant, and V and A are the volume and surface area of the casting, respectively. It is decided to modify both the thickness and diameter of the disc to 25 mm and 0.5 m, respectively, maintaining the same casting condition. The percentage reduction in solidification time of the modified disc as compared to that of the bigger disc is ________. [round off to one decimal place]

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