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Ratio and Proportion Question Answers for UGC NET
FAQs on Important Questions: Ratio and Proportion
| 1. What is the difference between ratio and proportion? |  |
Ans. Ratio refers to the quantitative comparison between two or more quantities, while proportion is an equation that states that two ratios are equal.
| 2. How can I find the missing value in a proportion? | |
Ans. To find the missing value in a proportion, you can use the cross-multiplication method. Multiply the extremes (the numbers at the ends) and equate them to the product of the means (the two middle numbers).
| 3. Can you provide an example of solving a ratio and proportion problem? | |
Ans. Sure! Let's say we have a ratio of 2:5 and we want to find the value of the unknown quantity. We can set up a proportion as 2/x = 5/10. Cross-multiplying, we get 2 * 10 = 5 * x. Solving this equation, we find x = 4.
| 4. How can I simplify a ratio? | |
Ans. To simplify a ratio, you need to find the greatest common divisor (GCD) of the numbers in the ratio and divide both numbers by this GCD. This will result in a simplified ratio.
| 5. Can you explain the concept of direct and inverse variation in ratios and proportions? | |
Ans. In direct variation, as one quantity increases or decreases, the other quantity changes in the same direction. For example, if the number of workers increases, the amount of work done also increases. In inverse variation, as one quantity increases, the other quantity changes in the opposite direction. For instance, if the price of a product decreases, the demand for that product increases.
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