GATE PI format:nat PYQs & Answers — Page 19 — Exam Papers

Questions 181–190 of 264. Imported answers require independent review unless marked reviewed.

Topic practice 264 questionsPage 19 of 27

In a waterjet machining process, the water pressure used is 500 MPa. The diameter of orifice of the nozzle through which the waterjet comes out is 0.25 mm. Neglecting frictional and other losses, and using the density of water as 1000 kg/m

, the mass flow rate of the waterjet (rounded off to two decimal places) in kg/min is ____________.

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The movement along the z-axis of a CNC drilling machine is controlled by using a servo motor, a lead screw and an incremental encoder. The lead screw has 2 threads/cm and it is directly coupled to the servo motor. The incremental encoder attached to the lead screw emits 100 pulses/revolution. The control resolution in microns is ____________.

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

Activity	Time required (in weeks)	Immediate Predecessor(s)
P	7	-
Q	4	-
R	2	Q
S	11	P
T	9	P, R
U	9	Q
V	4	T, U

The project completion time using Critical Path Method (CPM) in weeks is ____________.

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A company is planning to procure a machine to produce a component. There are two alternatives available - machine A and machine B. The cost of producing

units of the component (in Rs.) using machine A is given as

. The cost of producing

units of the component (in Rs.) using machine B is given as

. If machine B is to be preferred, then the minimum number of units to be produced should be ____________.

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The availability of an old photocopier was 90% and the Mean Time Between Failure (MTBF) was 200 days. It has been replaced with a new photocopier having an availability of 95%. Now, the Mean Time to Repair (the time during which the photocopier is unavailable for service) has increased by 5 days. The MTBF of the new photocopier (rounded off to the nearest integer) in days is ____________.

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A car company manufactures 200 units of a component per day. The component is installed in different car models at a rate of 1500 units per year. The company operates its production facility 300 days per year to manufacture the component. The setup cost for each production run is Rs. 200 and the inventory holding cost per year is Rs. 2 per unit. The Economic Production Quantity (EPQ) is ____________.

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A company has to perform five tasks (P, Q, R, S and T) to make an assembly. Task times and immediate predecessor of the tasks are listed below. If an assembly line is designed to obtain the maximum output rate, the efficiency of the line in % is ____________.

Task	Task time (Seconds)	Immediate predecessor(s)
P	20	-
Q	25	P
R	10	Q
S	15	Q
T	25	R, S

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In a work study experiment, it is observed that a worker completes a job in an average time of 15 minutes with a performance rating of 120%. The time required for another worker having a performance rating of 80% to complete the same job (rounded off to one decimal place) in minutes is ____________.

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A metallic rod of diameter

is subjected to the tensile test. The engineering stress and the true stress at fracture are 800 MPa and 900 MPa, respectively. The ratio of the rod diameter at fracture

to the initial diameter

is _____ (round off to 2 decimal places)

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A heat pump is to supply heat at the rate of 10 kW to a building to be maintained at 22 °C. The outside temperature is 2 °C. The minimum power (in kW) required to run the heat pump is _____ (round off to 2 decimal places)

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