CAT Exam > CAT Videos > Quantitative Aptitude (Quant) > Introduction to Proportion: Ratio & Proportion
Introduction to Proportion: Ratio & Proportion Video Lecture | Quantitative Aptitude (Quant) - CAT
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FAQs on Introduction to Proportion: Ratio & Proportion Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is a proportion in mathematics? |  |
Ans. Proportion is a mathematical concept that relates two or more ratios. It is a statement of equality between two or more ratios. In simple terms, it is a way to compare two or more ratios.
| 2. What is the difference between ratio and proportion? | |
Ans. Ratio is a comparison of two or more quantities, which can be expressed in the form a:b. Whereas, proportion is an equality between two or more ratios.
| 3. How do you solve proportion problems in mathematics? | |
Ans. To solve proportion problems, we can use the cross-multiplication method. In this method, we multiply the numerator of the first ratio with the denominator of the second ratio and then multiply the numerator of the second ratio with the denominator of the first ratio. Then we equate both the products.
| 4. What are the practical uses of proportion in real-life situations? | |
Ans. Proportion has various practical uses in real-life situations, such as cooking, designing, and construction. For example, in cooking, the proportion of ingredients is important to make a dish taste good. In designing, the proportion of different elements is important to create a visually appealing design. In construction, the proportion of different materials is important to ensure the strength and stability of a structure.
| 5. How do you interpret proportions in statistics? | |
Ans. In statistics, proportions are used to represent the fraction or percentage of a sample that belongs to a particular group or category. For example, if a survey found that 60% of the respondents prefer coffee over tea, it means that out of every 100 respondents, 60 prefer coffee and 40 prefer tea. It helps to understand the characteristics and preferences of a population.
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