NU Bangladesh Honours Admission cheat sheet

Average speed for equal distances = 2ab/(a+b); for equal times = (a+b)/2.

Compound interest: A = P(1 + r/n)^(nt); simple interest: SI = Prt/100.

Work rule: combined rate = sum of individual rates; time = 1/(sum of rates).

nPr = n!/(n-r)!; nCr = n!/(r!(n-r)!); nCr = nC(n-r).

Probability of A or B = P(A) + P(B) - P(A and B); independent events multiply.

Percentage change = (new - old)/old x 100; successive changes a% then b% = a + b + ab/100.

In a syllogism, a conclusion follows only if true in every model satisfying the premises.

Ratio scaling: if a:b = 2:3, write parts as 2x and 3x, then solve for x.

Bangladesh Liberation War: 26 March 1971 declaration of independence; victory 16 December 1971.

Bangladesh Constitution adopted 4 November 1972, effective 16 December 1972; Supreme Court is the highest court.

UN founded 24 October 1945; permanent Security Council members: China, France, Russia, UK, USA.

SAARC founded 8 December 1985 in Dhaka; headquarters in Kathmandu, Nepal.

Bangladesh's Sundarbans is a UNESCO World Heritage Site and the largest mangrove forest.

National symbols: national flower water lily (shapla), national bird oriental magpie-robin (doyel), national fish hilsa.

Bengali is one of the official languages of Sierra Leone; International Mother Language Day is 21 February.

Subject-verb agreement: singular subject takes singular verb; 'each/every/either/neither' is singular.

Present perfect (have/has + past participle) links past action to present; use with since/for.

Conditionals: Type 1 if + present, will + base; Type 2 if + past, would + base; Type 3 if + past perfect, would have + participle.

Passive voice: object becomes subject; verb becomes be + past participle.

Preposition rules: 'since' with a point in time, 'for' with a duration.

Relative pronouns: 'who' for people, 'which' for things, 'that' for defining clauses.

Articles: 'a/an' for non-specific countable singulars; 'the' for specific or unique referents.

Negative marking, if present, means expected gain = p x marks - (1 - p) x penalty; skip if p is below the break-even probability.

Break-even accuracy = penalty/(marks + penalty); with +1 and -0.25, break-even is 0.20.

Attempt order: secure high-confidence items first, then return to uncertain ones.

Time per item = total minutes / total items; exceeding twice this value on one item warrants moving on.

For MCQ elimination, two remaining options give a 50% guess probability.

Total marks = correct x marks per item - wrong x penalty; verify against the answer-key scheme stated in the question paper.