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It appears you've uploaded a document containing a selection test for the Universidad de Los Andes, primarily focused on mathematics, physics, and chemistry. The document includes a variety of multiple-choice questions on topics like logical reasoning, algebra, trigonometry, and basic physics concepts.

Here’s a summary of some of the types of questions covered in the mathematics section:

1. Logical reasoning, such as determining the day of the week from a given clue.
2. Growth of a population over time, based on percentage increase.
3. Trigonometry, specifically solving for angles.
4. Polynomial division, involving finding both quotient and remainder.
5. Simplification of algebraic expressions and solving for specific values.

Would you like help with solving any of the specific questions from the test? Or perhaps a detailed explanation of a particular mathematical concept?

Here are 5 related questions you could ask:
1. Can you explain how to solve polynomial division problems?
2. What method is used to calculate the area of a triangle with given vertices?
3. How do you simplify trigonometric expressions like \( \tan \alpha \cot \alpha \)?
4. Can you break down how to calculate future growth given an annual percentage increase?
5. What is the step-by-step process for simplifying algebraic expressions?

**Tip**: For logical reasoning problems, break down each part of the given information systematically to avoid confusion.

The document contains a selection test from Universidad de Los Andes with mathematics, physics, and chemistry questions. One example is: 'Determine the quotient and remainder of the division of x^3 - x^2 + 2x - 2 by (x + 1).'

Learn how to solve the polynomial division problem x^3 - x^2 + 2x - 2 by (x + 1). This solution uses algebraic techniques like polynomial long division and explores the Remainder Theorem. Ideal for Grades 11-12 students.

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