AEEE case studies
AEEE · Put your knowledge to work in context.
AEEE (Amrita Entrance Examination – Engineering) is the computer-based entrance test used by Amrita Vishwa Vidyapeetham for admission to its B.Tech programmes across its engineering campuses. It is aimed at students who are appearing for Class 12 or an equivalent examination in the admission year and who meet the prescribed eligibility criteria, including the PCM aggregate requirement. The AEEE case studies are 5 cases and about 3,835 words.
1Sizing a Cylindrical Can When Body and End-Cap Sheet Priced Differently
A fabrication unit must supply closed cylindrical cans of exactly 500 cm³ internal volume. The body is rolled from 0.4 mm aluminium sheet costing ₹2 per cm² of surface, while the two end discs are stamped from 0.6 mm sheet costing ₹3 per cm².
712 words, about 4 min2Two Blocks, an Incline and a Static-Friction Check That Cannot Be Skipped
A 4.0 kg block rests on a 30° incline whose surface has coefficient of static friction 0.25 and coefficient of kinetic friction 0.18. It is tied to a 3.0 kg hanging mass by a light inextensible string passing over a frictionless pulley at the top of the incline.
780 words, about 4 min3Choosing an Indicator and Auditing a Titration Stopped at pH 7
A student titrates 25.0 mL of a 0.100 M solution of a weak monoprotic acid HA (Ka = 1.8 × 10⁻⁵) with standardised 0.100 M NaOH from a burette, using a calibrated pH meter alongside the visual indicator. The stockroom supplies phenolphthalein (colour change 8.2–10.0) and methyl orange (3.1–4.4).
709 words, about 4 min4Shift-Level Decision on Reject Rates, Cost per Good Unit and Overtime
A small unit runs three shifts making the same machined component, each 8 hours long, and ships only good units. Shift A produces 1,200 units per day with 5.0% rejected, at a conversion cost of ₹40 per unit produced.
806 words, about 4 min5Editing a Project Report Abstract and a Covering Email Under Review
A final-year mechanical engineering student is preparing a two-page project report on induction hardening of mild-steel samples, plus a covering email to an external reviewer who will assess the work. The draft contains these sentences: (i) 'The experiments was conducted using a 2 kW induction heater, and the samples is tested at 300, 400 and 500 °C.' (ii) 'Having heated the sample to 500 °C, the hardness was measured within 30 seconds.' (iii) 'The increase in hardness is due to the fact that the cooling rate was very fast.' (iv) "We didn't find any cracks, which was pretty good." (v) 'Kindly do the needful and revert at the earliest regarding the sample photographs.' The reviewer returns the draft with a single comment: 'I can follow what you did, but the tone is inconsistent and in places the grammar makes the procedure ambiguous.' The student has one revision cycle and cannot re-run any experiments, so every correction must preserve the original meaning exactly, including the three test temperatures and the 30-second measurement window.
828 words, about 4 min