BCS Written Math & Mental Ability study materials
BCS Written Math & Mental Ability study resources

BCS Written Math & Mental Ability case studies

BCS Written Math & Mental Ability · Put your knowledge to work in context.

The BCS Written Math & Mental Ability component is the quantitative and reasoning portion of Bangladesh's Bangladesh Civil Service (BCS) examination, the competitive recruitment process for cadre and non-cadre government posts. It is intended for graduates preparing for public-service careers, and it rewards candidates who can compute quickly and accurately under pressure as much as those who know advanced mathematics. The syllabus spans school-level arithmetic - number systems, HCF and LCM, fractions and decimals - through percentage, profit and loss, ratio and partnership, time and work, speed and distance, averages and mixtures, simple and compound interest, algebra, and geometry and mensuration. A separate mental ability strand tests series completion, coding-decoding, analogies, and odd-one-out reasoning, which many candidates find the most trainable section. Topics on this exam: Arithmetic (Number Systems, HCF/LCM, Fractions, Decimals), Percentage, Profit and Loss, Discount, Ratio, Proportion and Partnership, Time, Work and Pipes/Cisterns, Speed, Time, Distance and Trains, Average, Mixture and Alligation, Interest (Simple and Compound), Algebra (Equations, Inequalities, Sequences), Geometry and Mensuration, and Mental Ability (Series, Coding-Decoding, Analogy, Odd One Out). The BCS Written Math & Mental Ability case studies are 5 cases and about 2,500 words.

1

The Stationery Shop's Discount Decision

A stationery shop buys 120 notebooks at a list price of 50 taka each. The wholesaler offers two schemes.

543 words, about 3 min
2

Two Pipes and a Leaking Cistern

A rooftop cistern has two inlet pipes, P and Q, and one outlet drain, R. Pipe P alone can fill the empty cistern in 12 hours.

471 words, about 2 min
3

Partnership Profit with Unequal Periods

Three friends start a small printing business. Anwar invests 60,000 taka at the start.

473 words, about 2 min
4

The Bus and the Overtaking Train

A bus leaves Sylhet at 7:00 a.m. and travels toward Dhaka, 240 km away, at a steady 40 km/h.

493 words, about 2 min
5

Alligation at the Juice Counter

A juice stall sells two concentrates. Concentrate X costs 80 taka per litre and is 60% pure fruit.

520 words, about 3 min