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Variation | Ratios & Proportions Video Lecture | Additional Study Material for CAT

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FAQs on Variation - Ratios & Proportions Video Lecture - Additional Study Material for CAT

1. What are ratios and proportions?
Ans. Ratios and proportions are mathematical concepts used to compare quantities or values. A ratio compares the relative sizes of two or more quantities, while a proportion is an equation that states two ratios are equivalent.
2. How do you simplify ratios?
Ans. To simplify a ratio, divide both terms of the ratio by their greatest common factor. This will reduce the ratio to its simplest form. For example, if the ratio is 4:8, dividing both terms by 4 gives the simplified ratio of 1:2.
3. How can ratios be used in real-life situations?
Ans. Ratios can be used to solve a variety of real-life problems. For instance, they can be used to compare ingredient quantities in a recipe, determine the scale of a map, or calculate the gear ratios in a bicycle.
4. What is the difference between a direct and an inverse proportion?
Ans. In a direct proportion, as one quantity increases, the other quantity also increases at the same rate. For example, if the speed of a car doubles, the distance it travels in a given time also doubles. In an inverse proportion, as one quantity increases, the other quantity decreases at the same rate. For example, if the time taken to complete a task is halved, the rate at which the task is completed doubles.
5. How can proportions be used to solve word problems?
Ans. Proportions can be used to solve word problems by setting up an equation with two ratios that are equal to each other. By cross-multiplying and solving for the unknown variable, the value can be determined. This method is commonly used to solve problems involving rates, distances, or quantities.
5 videos|378 docs|164 tests
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