GATE PI format:nat PYQs & Answers — Page 15 — Exam Papers

Questions 141–150 of 264. Imported answers require independent review unless marked reviewed.

Topic practice 264 questionsPage 15 of 27

A 150 mm wide polyamide flat belt is transmitting 15 kW power through a belt-pulley system. The driving pulley of 150 mm pitch diameter is rotating at 200 RPM. If

is the belt tension on high tension side, and

is the belt tension on low tension side, then the difference in belt tensions

in N is ____________. [round off to one decimal place]

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Heat is being removed from a refrigerator at a rate of 300 kJ/min to maintain its inside temperature at 2 °C. If the input power to the refrigerator is 2 kW, the coefficient of performance of the refrigerator is ____________. [round off to one decimal place]

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In an ideal Otto cycle, 800 kJ/kg is transferred to air during the constant volume heat addition process and 381 kJ/kg is removed during the constant volume heat rejection process. The thermal efficiency in % of the cycle is ____________. [round off to one decimal place]

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If

with

being real and

, then

____________. [correct up to one decimal place]

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The minimum value of function

defined by

is ____________. [in integer]

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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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