GATE PI case studies

GATE PI · Put your knowledge to work in context.

GATE (Graduate Aptitude Test in Engineering) is a national-level examination that primarily tests comprehensive understanding of undergraduate subjects in Engineering, Technology, Architecture, Science, Commerce, Arts and Humanities. The Production and Industrial Engineering (PI) paper is one of the 30 test papers offered in GATE 2025, which comprises full papers and sectional papers; candidates may appear for one or two test papers from the allowed two-paper combinations. The GATE PI case studies are 5 cases and about 2,839 words.

Tool-life economics on a CNC turning cell

A CNC turning cell finish-machines 60 mm diameter, 300 mm long mild-steel shafts at 90 m/min and 0.25 mm/rev feed. Trials on the coated-carbide insert gave the Taylor relation VT^0.25 = 300, with V in m/min and T in min.

642 words, about 3 min 2

Riser sizing for a gray-iron plate casting

A foundry pours a rectangular gray-iron plate 240 mm × 180 mm × 25 mm in a sand mould. The existing top riser is a plain cylinder 45 mm diameter and 67.5 mm high (H = 1.5D) with a short neck.

549 words, about 3 min 3

Line balancing when demand rises by 20%

A final-assembly line for a pump housing has ten work elements with precedence and times: 1 (40 s) precedes 2 (30 s) and 3 (25 s); 2 and 3 precede 4 (35 s); 4 precedes 5 (20 s) and 6 (45 s); 5 and 6 precede 7 (30 s); 7 precedes 8 (25 s); 8 precedes 9 (30 s); 9 precedes 10 (20 s). The line works 390 min per day after breaks and must supply 360 housings per day.

584 words, about 3 min 4

Crashing a shutdown overhaul with two critical paths

A fabrication shop plans a 17-day shutdown overhaul. The activity list is: A (1–2) 6 days; B (2–3) 4 days; C (2–4) 3 days; D (3–5) 5 days; E (4–5) 6 days; F (5–6) 2 days.

541 words, about 3 min 5

Weighted defect rates across machining cells

A pump plant's monthly output of 20,000 units comes from three machining cells. Cell M1 makes 50% of the units with a defect rate of 1.2%; M2 makes 30% with 2.0%; M3 makes 20% with 5.0%.

523 words, about 3 min