GATE PI branch:pi PYQs & Answers — Page 56

Questions 551–560 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 56 of 65

A machine consists of three components P, Q and R connected in series. The reliabilities of P, Q and R are 0.97, 0.86 and 0.93, respectively. To increase the reliability of the machine, two additional stand-by units of Q are attached. The overall reliability (up to two decimal places) of the machine is ______

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The mean time between failures of a machine is 400 hour. If the availability of the machine is 80%, the mean time to repair (in hour) is ______

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Processing times on a single machine for 3 jobs are given below. All the jobs are available at time t = 0.

Job	1	2	3
Processing time (minute)	15	3	6

The mean flow time (in minute) as per the shortest processing time (SPT) sequence is ______

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In a two-pass wire drawing process, there is a 40% reduction in wire cross-sectional area in 1st pass and further 30% reduction in 2nd pass. The overall reduction (in percentage) is ______

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A double-start thread with a pitch of 2 mm is to be cut using a lathe machine. The pitch of the leadscrew of the lathe is 6 mm. The job rotates at 60 revolution per minute (RPM). The RPM of the leadscrew is ______

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Consider the analytic function

of the complex variable

, where

. The derivative

Your answerChoose one option.

$2x+i2y

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In order to evaluate the integral

with Simpson’s 1/3rd rule, values of the function

are used at

and 1.0. The absolute value of the error of numerical integration is

Your answerChoose one option.

0.00071

0.00040

0.00579

0.00278

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A rigid link PQ of length 1.0 m is pinned at P. It rotates about P in a vertical plane with a uniform angular acceleration of 1.0 rad/s

. At an instant when the angular velocity of the link is 1.0 rad/s, the magnitude of total acceleration (in m/s

) of point Q relative to point P is

Your answerChoose one option.

1.41

1.73

2.83

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In a shaft-hole system, the dimensions with tolerances (in mm) are as follows: Shaft:

; Hole:

, where both x and y are positive real numbers. Which one of the following will provide an interference fit?

Your answerChoose one option.

x = 0.05, y = 0.040

x = 0.04, y = 0.035

x = 0.04, y = 0.032

x = 0.02, y = 0.035

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A machine is procured at a price of Rs. 4700 with a 2-year warranty. After two years, the annual maintenance cost (AM) in Rs. is given by the following formula:

, where i is the number of years elapsed since the machine was purchased. Neglect the scrap value of the machine, inflation, interest, etc. For minimizing the average cost, the machine should be replaced at the end of the year

Your answerChoose one option.

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