MCQ TEST SERIES _DIRECT & INVERSE PROPORTION(VIII)-02
This is a link to an MCQ test series which is specially designed for class 8th students. It contains 10 questions through which students can check their progress. A direct and inverse proportion are used to show how the quantities and amount are related to each other. They are also mentioned as directly proportional or inversely proportional. The symbol used to denote the proportionality is ‘∝‘. For example, if we say, a is proportional to b, then it is represented as “a ∝ b” and if we say, a is inversely proportional to b, then it is denoted as ‘a∝1/b’. These relations are governed by some proportionality rules. Now in both cases, the value of ‘a’ changes in terms of ‘b’ or when the value of ‘b’ changes, the value of ‘a’ also get changed. The change in both values is equated with a constant of proportionality. Basically, a proportion states that two ratios like a/b and c/d are equal to each other, in such a way, a/b = c/d. In this article, we will learn the definition, examples and also will solve some questions based on the concept. Dear all please go through this link and attempt all the questions- https://quizzory.in/id/653cf1176d9faa6f1d5fc462
Direct Proportion
Two quantities a and b are said to be in direct proportion if they increase or decrease together. In other words, the ratio of their corresponding values remains constant. This means that,
a/ b = k
Inverse Proportion
The value is said to inversely proportional when one value increases, and the other decreases. The proportionality symbol is used in a different way. Consider an example; we know that the more workers on a job would reduce the time to complete the task. It is represented as:
Number of workers ∝ (1/ Time taken to complete the job)
How to Write Direct and Indirect Proportion Equation
If we have to write a proportionality whether it is direct or indirect in an equation, follow the below steps:
- Step 1: First, write down the proportional symbol
- Step 2: Convert it as an equation using the constant of proportionality
- Step 3: Find the constant of proportionality from the given information
- Step 4: After finding the constant of proportionality, substitute in an equation
Some Important definations
- A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities.
- In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively. But in indirect or inverse proportion, if one quantity increases then other quantity decreases and vice-versa.
- An example of direct proportion is when the number of commodities increases, then the cost of commodities increases. Thus, price is directly proportional to number of commodities.
- Time is inversly proportional to the speed of a vehicle. If speed is increases, then it takes less time for a vehicle to cover the distance.
MCQ TEST SERIES_How MCQ are important
Direct and inverse proportion suggest a relationship between quantities and amount. It also helps to understand how the inter-relationship of two quantities can affect an equation or a problem. At times we see that while calculating something when we change one quantity, it affects the other ,and the other also changes. For example, you can buy more amount of grocery with more amount of money. This is an example of direct proportionality. However, if you increase the speed of your vehicle, you shall cover your distance in lesser time. This is an example of inverse proportionality.
In this article, based on the complexity, importance, and weightage of the respective chapters MCQs are carefully selected. Students can secure more marks in their exams if they practice these MCQs. Here is sample Multiple Choice Questions to help you understand the concept better.
More Article
https://zer0period.in/ltst/international-teachers-day-05-october-2023/