CAT Exam > CAT Videos > Additional Study Material for CAT > Variation | Ratios & Proportions
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.
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Dec 22, 2024 Last updated |
Video Description: Variation | Ratios & Proportions for CAT 2024 is part of Additional Study Material for CAT preparation.
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