CAT Exam > CAT Videos > Quantitative Aptitude (Quant) > Proportions - 1
Proportions - 1 Video Lecture | Quantitative Aptitude (Quant) - CAT
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FAQs on Proportions - 1 Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What are proportions in mathematics? |  |
Ans. Proportions in mathematics refer to the equality of two ratios or fractions. In a proportion, the cross products are equal, meaning that the product of the first term of the first ratio and the second term of the second ratio is equal to the product of the second term of the first ratio and the first term of the second ratio.
| 2. How are proportions used in real life? | |
Ans. Proportions are used in various real-life scenarios such as cooking, designing, and scaling drawings. For example, when following a recipe that serves 4 people but you need to serve 8 people, you can use proportions to adjust the ingredients accordingly.
| 3. What is the cross product property of proportions? | |
Ans. The cross product property of proportions states that in a proportion, the product of the first term of the first ratio and the second term of the second ratio is equal to the product of the second term of the first ratio and the first term of the second ratio. This property is essential for solving proportion problems.
| 4. How do you solve proportion problems? | |
Ans. To solve proportion problems, you can set up a proportion equation with two equal ratios and then cross multiply to find the missing value. Once you have cross multiplied and solved for the variable, you can check your answer by substituting it back into the original proportion equation.
| 5. Can proportions be used in geometry? | |
Ans. Yes, proportions can be used in geometry to solve problems related to similar figures. By setting up proportions with corresponding sides of similar figures, you can find missing side lengths or angles. This application of proportions is particularly useful in geometry problems involving triangles and other shapes.
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Dec 22, 2024 Last updated |
Video Description: Proportions - 1 for CAT 2024 is part of Quantitative Aptitude (Quant) preparation.
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