GATE PI discipline:mechanical-and-production-engineering PYQs & Answers — Page 7

Questions 61–70 of 650. Imported answers require independent review unless marked reviewed.

The number of soldering defects that occur in a semiconductor device follows a discrete Poisson distribution with a probability mass function

. The average number of soldering defects per semiconductor device is 3. The probability that a randomly selected semiconductor device will have at least two soldering defects is _____ (rounded off to two decimal places).

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A time study was carried out for a job broken into two elements. For each element, three iterations of task were observed, and observed time was recorded. The observed times (in seconds) and the rating factor for each element are given in the table.

Work element	Observed time (seconds)	Rating factor
A	20; 25; 21	105%
B	19; 17; 18	90%

If a further 20% needs to be added for allowances, then the standard output of the worker is _____ units per hour (in integer).

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In a hole-shaft assembly, the following are the dimensions and tolerances (all in mm) provided for the hole and shaft:

Hole:

Shaft:

The magnitude of the clearance when the shaft is at the minimum material condition and hole is at the maximum material condition is _____ mm (to three decimal places).

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Consider an assembly line producing an item through a process involving three activities in the following order: cutting, welding, and polishing. There are three workers available: one is assigned only for cutting, one is assigned only for welding, and one is assigned only for polishing.

The activity time per item is given in the table.

Assuming that the process is running in steady state, the total number of items coming out of the assembly line in six hours is _____ (in integer).

Note: Assume that workers, items, and machines/tools are available as and when needed.

Activity name	Cutting	Welding	Polishing
Activity time/item (in minutes)	30	40	25

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In the composite filament winding process as shown in the figure, the mandrel diameter is 70 mm and is rotating at a speed,

rev/min.

If a 45° helical wind angle is needed, the axial velocity,

, of the slider should be _____ m/s (rounded off to two decimal places).

Assume

. Ignore the thickness of the composite layers already wound on the mandrel.

Diagram for Production and Industrial Engineering question 65

Note: Figure is not to scale.

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Courage : Bravery :: Yearning : __________

Select the most appropriate option to complete the analogy.

Your answerChoose one option.

Longing

Yeling

Yawning

Glaring

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We __________ tennis in the lawn when it suddenly started to rain.

Select the most appropriate option to complete the above sentence.

Your answerChoose one option.

have been playing

had been playing

would have been playing

could be playing

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A 4 × 4 digital image has pixel intensities (

) as shown in the figure. The number of pixels with

is:

Diagram for Production and Industrial Engineering question 3

Your answerChoose one option.

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In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of P, Q, and R?

Diagram for Production and Industrial Engineering question 4

Your answerChoose one option.

P = 6; Q = 5; R = 3

P = 5; Q = 6; R = 3

P = 3; Q = 6; R = 6

P = 5; Q = 3; R = 6

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A rectangle has a length L and a width W, where L > W. If the width, W, is increased by 10%, which one of the following statements is correct for all values of L and W?

Your answerChoose one option.

Perimeter increases by 10%.

Length of the diagonals increases by 10%.

Area increases by 10%.

The rectangle becomes a square.

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GATE PI discipline:mechanical-and-production-engineering PYQs

Question 61

Question 62

Question 63

Question 64

Question 65

Question 1

Question 2

Question 3

Question 4

Question 5