I noticed a genuine lack of clarity about what’s expected for this test, so I’ve detailed the topics tested today to help future aspirants prepare better. While I’ll refrain from disclosing the specific questions, here’s a breakdown of the key concepts covered:
- Matrices and Determinants: A straightforward question involving basic algebra to find the values of constants.
- Eigenvalues and Matrices: A problem easily solvable by applying properties of eigenvalues.
- Permutations: A question involving concepts like dictionary order or rank determination.
- Definite Integrals: A basic question leveraging an introductory property of definite integrals.
- Quadratic Equations: A variant requiring algebraic manipulation to convert into a quadratic equation.
- While Loop in Coding: A problem involving iterative operations until a condition is met, with the task being to determine the output of the code.
- Puzzle: The simplest question of the test, more of a brain teaser than a puzzle.
- Probability: A basic probability question vying to be the easiest of the lot.
- Arithmetic Progressions (APs): A question requiring the combination of two APs, solvable with basic algebraic manipulation.
- Coding Puzzle: A problem solvable using a straightforward iteration approach.
- Functions (Moderate): A question requiring case-based analysis to solve.
- Increasing/Decreasing and Even/Odd Functions: A moderate question testing these concepts, though I suspect there might be an error in the problem. Let’s wait for Princeto’s comments—similar issues occurred in last year’s test.
- Input-Output in Coding: Another coding-based question focusing on input-output mechanics.
I hope this helps future test-takers get a clearer understanding of what to expect. Best of luck!