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Practice Questions: Ratio & Proportion Video Lecture | Quantitative Aptitude (Quant) - CAT
FAQs on Practice Questions: Ratio & Proportion Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is the definition of ratio and proportion in mathematics? |  |
Ans. A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other. It is expressed as a fraction, such as a:b or a/b. Proportion, on the other hand, is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.
| 2. How do you solve problems involving ratios? | |
Ans. To solve problems involving ratios, first, identify the quantities involved and express them in the form of a ratio. Next, if the problem provides a total or sum, use it to write an equation based on the ratio. Finally, solve for the unknown quantity by cross-multiplying if necessary and simplifying.
| 3. Can you provide an example of a real-life application of ratios and proportions? | |
Ans. Ratios and proportions are commonly used in cooking. For example, if a recipe requires a ratio of 2 cups of flour to 3 cups of sugar, and you want to adjust the recipe to use 4 cups of flour, you can set up a proportion. This means you would need 6 cups of sugar to maintain the same ratio (2/3 = 4/x, solving gives x = 6).
| 4. What are some common mistakes to avoid when working with ratios and proportions? | |
Ans. Common mistakes include not simplifying ratios properly, misinterpreting the problem's requirements, and forgetting to maintain the same units when comparing quantities. Additionally, errors can occur when cross-multiplying or when setting up the proportion incorrectly.
| 5. How can I practice and improve my skills in ratio and proportion for competitive exams? | |
Ans. To improve skills in ratio and proportion, practice solving a variety of problems from past exam papers and study guides. Online resources and mobile apps that focus on quantitative aptitude can also be helpful. Additionally, working with study groups or tutors can provide valuable insights and strategies for mastering these concepts.
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