AILET 5-Day Block

Tense, subject-verb agreement, articles (a, an, the), prepositions, conjunctions, voice (active/passive), narration (direct/indirect), and error spotting — grammar fundamentals tested in BITSAT English section.

Synonyms, antonyms, one-word substitutions, homophones, idioms, phrases, and phrasal verbs — contextual vocabulary usage and word power tested through sentence completion and reading passages.

Passages on general, scientific, and literary topics with questions on main idea, inference, vocabulary in context, tone, and fact-vs-opinion — speed reading and comprehension skills assessed.

Rearranging jumbled sentences to form a coherent paragraph — tests logical sequencing, connector usage, and understanding of discourse structure in written English.

Identifying the most grammatically correct and stylistically appropriate version of an underlined portion — combines grammar precision with clarity of expression.

Passage with missing words to be filled from given options — tests vocabulary, grammar, and contextual coherence simultaneously in a time-efficient format.

Word pairs with relationships (synonym, antonym, part-whole, function, cause-effect) — reasoning through linguistic relationships and logical word connections.

Current Affairs - National: Major government policies, schemes (PM-KISAN, Digital India, Make in India), legislative updates, and important national events from the past year - a high-weight area in RAS Prelims General Knowledge.

Current Affairs - International: Important summits (G20, BRICS, ASEAN), international organizations, global economic developments, conflicts, treaties, and India foreign policy engagements.

Rajasthan-Specific GK: Districts, capitals, tourist places, folk traditions, famous personalities, sports achievements, and current events specific to Rajasthan - direct and scoring questions in RAS Prelims.

Awards and Honors: Major national awards (Padma, Bharat Ratna), international awards (Nobel, Oscar, Grammy), sports awards (Arjuna, Khel Ratna), and recognition for Rajasthan achievers.

Science and Technology: Government S&T missions, space program (ISRO), IT and cybersecurity developments, defence achievements, recent inventions, and science awards - increasing weight in GK section.

Sports GK: Major sporting events, Indian and global athletes, cricket world events, Olympics, Asian Games, Commonwealth Games results, and sports-related awards and records.

Important Days and Themes: International and national days of significance (Environment, Health, Education), their themes, and why they matter in the context of government schemes and policies.

Complex numbers as a+ib, algebra of complex numbers, modulus and argument, De Moivre's theorem, cube roots of unity, quadratic equations with real and complex roots, discriminant, and nature of roots.

Types of matrices, matrix operations (addition, multiplication, transpose), adjoint and inverse of matrices, determinant evaluation (up to 3×3), properties of determinants, and solving linear equations using matrices.

Fundamental principle of counting, permutation (linear and circular), combination, Pascal's triangle, binomial theorem (general and middle term), binomial expansion for positive integer indices, and arrangement problems.

Arithmetic progression (AP), geometric progression (GP), arithmetic-geometric progression (AGP), harmonic progression (HP), sum of n terms, infinite series convergence, and AM-GM inequality applications.

Positive integral index binomial expansion, general and middle terms, Pascal's triangle, binomial coefficient properties, and applications in finding coefficients and approximations.

Trigonometric ratios, identities (basic and conditional), signs in quadrants, allied angles, sum-to-product and product-to-sum formulas, multiple and submultiple angles, and solving trigonometric equations.

Cartesian coordinate system, distance formula, section formula, area of triangle, slope-intercept form, general equation of line, angle between lines, perpendicular and parallel conditions, and solving linear equations graphically.