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CAT 2025 Lesson : Proportion & Variation - Concepts & Cheatsheet
Note: The video for this module contains a summary of all the concepts covered in this lesson. The video would serve as a good revision. Please watch this video in intervals of a few weeks so that you do not forget the concepts. Below is a cheatsheet that includes all the formulae but not necessarily the concepts covered in the video.
7. Cheatsheet
1) Proportion involves equality of ratios that have terms. If and are in proportion, then the following are different ways to write the same.
OR OR
2) and are called extremes, and and are called means. Upon simplifying, we note that the product of extremes equals the product of means.
3) If three numbers, say and , are said to be in continued proportion, then Numbers in continued proportion are in Geometric Progression.
4) Properties of Proportions
4.1) If ..., and and are real numbers, then ...
4.2) If , then
4.3) If , then
5) If directly varies with , then
6) If inversely varies with , then
7) If and and , then or
OR OR
2) and are called extremes, and and are called means. Upon simplifying, we note that the product of extremes equals the product of means.
3) If three numbers, say and , are said to be in continued proportion, then Numbers in continued proportion are in Geometric Progression.
4) Properties of Proportions
4.1) If ..., and and are real numbers, then ...
4.2) If , then
4.3) If , then
5) If directly varies with , then
6) If inversely varies with , then
7) If and and , then or
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