GATE PI 2026 Paper 1 — page 21

Questions 61–63 of 65. Imported answers require review unless explicitly 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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2026 · Paper 1

Question 61

Question 62

Question 63