RBSE SS Mathematics case studies
RBSE SS Mathematics · Put your knowledge to work in context.
The RBSE Senior Secondary Mathematics examination is the Class 12 mathematics paper set by the Board of Secondary Education Rajasthan (BSER), Ajmer. It is taken by students completing senior secondary schooling in Rajasthan and is used for progression to university mathematics, engineering, commerce and science degrees, and as a qualifying credential for many state-level admissions and recruitment processes. The RBSE SS Mathematics case studies are 5 cases and about 4,202 words.
1Choosing an encoding key for the school notice board
The Digital Notice Board club at a senior secondary school encodes roll-number letters before posting absentee data on a screen visible in the corridor. Each pair of letters is written as a column vector of alphabet positions (A = 1, …, Z = 26) and multiplied by the 2 × 2 key matrix A = [[2, 3], [1, 2]].
874 words, about 4 min2Cylindrical can: cutting labour with a kink at r = 5 cm
A metal-fabrication unit at a polytechnic makes open-top cylindrical oil cans of fixed volume 64π cm³ (about 201 cm³). Sheet metal is the only material cost and is priced at ₹0.50 per cm².
830 words, about 4 min3Quenching a steel bush: which cooling model to post on the shop floor
A foundry's quality lab quenches a small steel bush at 300 °C and leaves it in a room held at 30 °C. Newton's law of cooling applies: the rate of fall of temperature is proportional to the excess over room temperature.
813 words, about 4 min4Tailoring unit: corner points, a redundant constraint and a bad rental offer
A self-help group at a senior secondary school runs a tailoring unit making two items: shirts (x per week) and trousers (y per week). The weekly limits are 20 machine-hours (2 hours per shirt, 1 hour per trousers), 16 labour-hours (1 hour per shirt, 2 hours per trousers), and 14 hours of packing-table time (1 hour per item).
915 words, about 5 min5Two presses, one misprint: Bayes, independence and a small-lot inspection
A school's examination cell gets its question papers printed by two presses. Press P prints 60% of the packets and press Q the remaining 40%.
770 words, about 4 min