BSEB Inter Mathematics case studies
BSEB Inter Mathematics · Put your knowledge to work in context.
The Bihar School Examination Board Intermediate Mathematics examination is the Class 12 mathematics paper taken by students in the Science and Commerce streams under BSEB, Patna. It is a school-leaving and university-entrance credential: results feed into higher education admissions and are commonly required for undergraduate science, engineering and commerce courses. The BSEB Inter Mathematics case studies are 5 cases and about 2,930 words.
1Open-Top Can: Constrained Volume Maximisation
A small metalwork unit is asked to fabricate open-top cylindrical cans from a single sheet of metal with usable area 600 cm². The base and curved side are cut from this sheet; overlap and cutting waste are ignored.
587 words, about 3 min2Pallet Rebalancing With a Parameterised Matrix
A wholesale distributor supplies three retail clusters with three products. A weekly rebalancing plan is encoded by Mx = b, where x = (x1, x2, x3) is the number of pallets sent to clusters 1, 2, 3, b = (10, 9, 10) is the net stock shortage at the three clusters in pallets, and M = [[2, 1, k], [1, 2, 1], [k, 1, 2]].
625 words, about 3 min3Screening Test on Two Soldering Lines
A circuit-board plant runs two soldering lines. Line A makes 60% of daily output and has a 2% defect rate; line B makes 40% and has a 5% defect rate.
481 words, about 2 min4Drone Paths, Skew Lines and a No-Fly Sphere
Two survey drones fly straight-line paths in a hangar. Path 1 passes through A(1, 2, 3) with direction d1 = (2, -1, 1); path 2 passes through B(4, 0, 5) with direction d2 = (1, 1, 2).
604 words, about 3 min5IV Infusion: Reaching and Holding a Therapeutic Level
A patient is started on a continuous intravenous infusion of a drug at rate R mg/h. The drug distributes in an apparent volume V = 10 L and is eliminated at a rate proportional to its concentration, with elimination constant k = 0.20 h⁻¹.
633 words, about 3 min