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Ratio & Proportion: Tips & Tricks Video Lecture | Quantitative Aptitude (Quant) - CAT
FAQs on Ratio & Proportion: Tips & Tricks Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is the definition of ratio and how is it expressed? |  |
Ans.A ratio is a relationship between two numbers that shows how many times the first number contains the second. It is expressed in the form of "a:b" or as a fraction a/b, where 'a' and 'b' are quantities being compared.
| 2. How do you solve problems involving direct proportion? | |
Ans.To solve problems involving direct proportion, you can set up a proportion equation based on the relationship between the two quantities. If a is directly proportional to b, you can write it as a/b = k, where k is the constant of proportionality. Cross-multiply to find the unknown variable.
| 3. What are some real-life applications of ratios and proportions? | |
Ans.Ratios and proportions are widely used in various real-life applications such as cooking (adjusting recipe quantities), financial analysis (calculating interest rates), and even in scales for maps and models (representing real distances).
| 4. What is the difference between direct and inverse proportion? | |
Ans.Direct proportion occurs when two quantities increase or decrease together at the same rate, i.e., if one quantity doubles, the other does too. In contrast, inverse proportion occurs when one quantity increases while the other decreases, meaning their product remains constant.
| 5. What are some common mistakes to avoid when working with ratios and proportions? | |
Ans.Common mistakes include not simplifying ratios correctly, misinterpreting the relationship between the quantities, and forgetting to maintain the same units when comparing quantities. Always double-check calculations to ensure accuracy.
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